5 Quick algebra 1 questions for 50 points!
Only answer if you know the answer! :)
Answers
Step-by-step explanation:
So it's important to define what parallel is. If one line is parallel to another line, it will never intersect the other line. This means the two lines must be changing by the same amount simultaneously. In other words, they have the same slope. It's also important to remember that same slope doesn't mean they're parallel. You also have to look at the y-intercept. If they have the same y-intercept, and the same slope, then they're the same line. So two lines are only parallel, if the slopes are the same and they have different y-intercepts.
So now that you understand what's parallel let's look at some of the problems
1. So this is kind of tricky, because as I mentioned before, parallel lines have the same slope, but in this case a slope cannot be defined. For two vertical lines to be parallel, they just have to have different a different x-constant. Because x is what's constant, and if they're different, then the two lines will never intersect. This gives us the general formula for a vertical parallel line: \(x=a\text{ where a} \ne3\) (this is specific to this problem, since the constant in the graph is x=3). Since the parallel line must pass through (-5, -4) this means that the constant for x, must be -5, because the x is constant, if it equals anything else, it will never equal -5. So the parallel line in this case will be: \(x=-5\)
2. So the equation is already in slope-intercept form, so we don't have to solve for the slope. The slope in this case is 8, which can be determined by looking at the formula. This gives us the general formula for the parallel line: \(y=8x+b\text{ where b}\ne 4\). b cannot equal 4, because if it did, then we would have two lines that are the same, not parallel, otherwise b can be anything else. Since we have a point that the parallel line goes through, we can plug this in as (x, y) to solve for b: \(21=8(4)+b \implies21=32+b\implies -11=b\). So now this gives us the complete equation: \(y=8x-11\)
3. The image is a bit low quality, although from what I can see the linear equation intersects the origin (0, 0) and (4, -1). This gives us the equation for the slope -1/4 (rise/run). which gives is the slope -1/4. So this gives us the general equation: \(y=-\frac{1}{4}x+b \text{ where b} \ne0\). b cannot equal 0, since it would then have the same y-intercept, meaning the two lines would be the same. In this case we also get some coordinates which we can plug into the equation to solve for b: \(-5=-\frac{1}{4}(12)+b\implies -5=-3+b\implies-2=b\). This gives us the complete formula: \(y=-\frac{1}{4}x-2\)
4. This is similar to the vertical line, as there is a constant value, but in this case a slope can be defined, and that slope is 0; it's 0 for all horizontal lines. So we have the general equation: \(y=0x+b \text{ where b}\ne4\). This can be simplified to: \(y=b \text{ where b} \ne4\). Since the line passes through (13, -7), that means b must equal -7, because the y does not depend on x. It's a constant value. So you have the equation: \(y=-7\)
5. \(y-6=\frac{3}{5}(x+5)\). So in this case we have the point-slope form. We don't need to convert it to the slope-intercept form, since all we need to form the parallel line is the slope, sort of. You technically do need the y-intercept, so you know what b cannot equal, so that you don't have the same line, but I'm assuming, the coordinates they're giving you, do not pass through the original line, but rather a parallel line. So we have the general equation: \(y=\frac{3}{5}x+b\). Plugging the given coordinates give you the equation: \(8=\frac{3}{5}(0)+b \implies8=b\). You didn't really need to do this, since if you noticed the coordinates have x=0, which means the y-value by definition is what b is equal to, since b is the y-intercept. So this gives you the equation: \(y=\frac{3}{5}x+8\)
Related Questions
evaluate each sequence's related arithmetic series. 1, 2 and 3 please.
Answers
In order to evaluate the sequences, let's find the ratio of each one by subtracting the second term and the first one.
1)
\(\begin{gathered} 1,-5,-11,\ldots \\ r=-5-1=-6 \end{gathered}\)Since the ratio is negative, the sequence is decrescent.
2)
\(\begin{gathered} 2.5,5.5,8.5,\ldots \\ r=5.5-2.5=3 \end{gathered}\)The ratio is positive, so we have a crescent sequence.
3)
\(\begin{gathered} 4.7,8.7,12.7,\ldots \\ r=8.7-4.7=4 \end{gathered}\)The ratio is positive, so we have a crescent sequence.
the probability associated with obtaining a particular value of z is referred to as its
Answers
The probability associated with obtaining a particular value of z is referred to as its statistical probability or simply its probability. It represents the likelihood of observing a specific value of z in a given statistical distribution.
The probability of a specific value of z can be calculated using various statistical methods, depending on the distribution being considered. In statistics, z represents a standard score or a z-score. It is a measure of how many standard deviations a particular value is away from the mean of a distribution. The probability associated with a specific value of z is determined by the characteristics of the distribution, such as its shape, mean, and standard deviation. Different distributions, such as the normal distribution or the t-distribution, have different methods for calculating probabilities associated with specific values of z.
The probability associated with a particular value of z can be useful in hypothesis testing, confidence interval estimation, or determining the likelihood of an event occurring. By understanding the probability distribution of z-values, statisticians can make informed decisions and draw conclusions based on data analysis.
Learn more about standard deviations here: https://brainly.com/question/29115611
#SPJ11
What is the value of ?
Answers
Answer:
25.49
Step-by-step explanation:
\(5^2 + 0.7^2 \\ \\ =25+0.49 \\ \\ =25.49\)
True or false: A continuous random variable can have a finite set of integer values.
Answers
The given statement "A continuous random variable can have a finite set of integer values." is False because a continuous random variable takes on values in a continuous range, such as all real numbers between two limits.
It can take on any value within this range, including non-integer values, but the probability of any one specific value is zero.
On the other hand, a discrete random variable takes on a finite or countably infinite set of distinct values with positive probabilities assigned to each value.
For example, the number of cars in a parking lot or the number of heads obtained in a series of coin flips are discrete random variables. The values they can take are finite integers, not continuous.
It is important to understand the difference between continuous and discrete random variables as they have different probability distributions and require different methods for analysis.
To know more about real numbers refer to-
https://brainly.com/question/10547079
#SPJ11
Need answer :))))))))
Answers
Answer:
cost per serving can be used as a result of using your head to think
Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0. 2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural? 3. 6 inches 18. 2 inches 60 inches 90 inches.
Answers
i need more info cmon man
Step-by-step explanation:
ur mom
127 39 + 2Y = 4 for y = 3.
Answers
Answer:
use calculator soup. com
Step-by-step explanation:
this will help u
Using π = 3.14, what is the circumference of a circle with a diameter of 28 units?
Round your answer to the nearest hundredth.
Answers
———————————————-
Kami was taking a quiz and she decided to simplify the following expression Her steps are shown below. Step 1: 1.3 (5+2.3m - 2.4) Step 2: 6.3+3.6m - 1.1 Step 3: 6.3-1.1 +3.6m Step 4: 5.2+3.6m Which statement identifies and explains Kami's first mistake?
a. Kami's first mistake was in Step 4. She should have reordered the terms by writing 3.6m first and then 5.2.
b. Kami's first mistake was in Step 2. of multiplying by 1.3. She added 1.3 to each term instead
c. Kami's first mistake was in Step 2. She should only add 1.3 to 5 and not to all 3 terms.
d. Kami's first mistake was in Step 3. She should have made 3.6m negative and the 1.1 should be positive.
e. Kami's first mistake was in Step 2. She should multiply 1.3 to 5 and to -2.4 only instead of adding by 1.3 to each term.
Answers
The statement that shows kemi first mistake is that
' Kemi first mistake was in step 2 , instead of multiplying 1.3 with all terms , she added 1.3 to each term instead'. (optionB)
What is simplification of expression?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. For example;
5( 2x+6) can be simplified by using distributive law. i.e 5× 2x + 5× 6
= 10x + 30
Similar simplifying 1.3 (5+2.3m - 2.4), we use distributive law to simplify.
1.3 × 5 + 1.3 × 2.3m -2.4 × 1.3
= 6.5 + 2.99m - 3.12
The next step is to collect like terms
= 6.5-3.12 + 2.99m
= 3.38 + 2.99m
Instead of using the distributive law, Kami added 1.3 to all the terms in parentheses.
learn more about simplification of expression from
https://brainly.com/question/723406
#SPJ1
please can you solve this question
Answers
since we have our two medians, we need to add them up 1st then divide the sum by two;
50+60
2
= 110
2
= 55
55 is the median
Find the percent of increase from 15 miles to 18 miles. Round the percent to the nearest tenth if necessary.
Answers
That means 120%
Therefore it increased by 20%
Answer: I Think it's 20%
The least value of the function x^2 + px + q is 3 and this occurs when x = - 2. find the values of p and q
Answers
Answer:
Hello,
p=4
q=7
Step-by-step explanation:
The vertex of the parabola is (-2,3)
Equation of the parabola is k(x+2)²+3=x²+px+q
Let's identify the coefficients:
kx²+4kx+4k+3=x²+px+q
so
k=1
4*1=p
4*1+3=q
The values of the coefficients for the equation of the parabola are p = 4, and q = 7.
Given that,
vertex of the parabola is (-2,3)
The equation of the parabola is given as:
k(x + 2)² + 3 = x² + px + q
Substitute the value of k = 1 into the equation:
(x + 2)² + 3 = x² + px + q
Now, let's expand (x + 2)²:
(x + 2)² = x² + 4x + 4
Substitute this back into the equation:
x² + 4x + 4 + 3 = x² + px + q
Now, simplify the equation:
x² + 4x + 7 = x² + px + q
Now, let's identify the coefficients:
Coefficient of x²:
1 = 1
Coefficient of x:
4 = p
Constant term:
7 = q
Therefore, the values of the coefficients are p = 4, and q = 7.
Learn more about Equation of parabola here:
https://brainly.com/question/11911877
#SPJ7
HELP I'LL GIVE YOU 69 BRAINLY POINTS
Answers
Answer:
The value of sin 270 degrees is -1.
Step-by-step explanation:
Using trigonometric identities, we know, sin(270°) = cos(90° - 270°) = cos(-180°).
Trapezoid WHNT is shown where R is the midpoint of HN,Y is the midpoint of WT, WH=10 x +2.6, NH=11x - 7.4, TN= 23x - 3.9, RY =18x- 4.1, and WT=8x+ 5.2
The value of x round to the nearest tenth
The measurement of YT round to the nearest tenth
Answers
Applying the Trapezoid Midsegment Theorem, the value of x is: 2.3
Measurement of YT = 11.8
What is the Trapezoid Midsegment Theorem?According to the Trapezoid Midsegment Theorem, if a line runs parallel to both bases of a trapezoid and intersects the midpoint of one of its legs, it will also intersect the midpoint of the other leg. Moreover, the length of this midsegment will be equal to the sum of the lengths of both bases divided by two.
According to the theorem, we have:
RY = 1/2(WH + TN)
Plug in the values:
18x - 4.1 = 1/2(10x + 2.6 + 23x - 3.9)
Solve for x:
2(18x - 4.1) = (10x + 2.6 + 23x - 3.9)
36x - 8.2 = 33x - 1.3
36x - 33x = 8.2 - 1.3
3x = 6.9
x = 2.3
YT = 1/2(WT)
YT = 1/2(8x + 5.2)
Plug in the value of x:
YT = 1/2(8(2.3) + 5.2)
YT = 11.8
Learn more about the trapezoid midsegment theorem on:
https://brainly.com/question/4451516
#SPJ1
William drove for 5 hours at an average speed of 54 mi/h. For the first two hours, he drove 45 mi/h. What was his average speed for the last three hours?
A. 40 mi/h
B. 50 mi/h
C. 60 mi/h
D. 65 mi/h
Answers
William drove for 5 hours at an average speed of 54 mi/h.
For the first two hours, he drove at a speed of 45 mi/h.
To find:William's average speed for the last three hours.
Solution:Let \(x\) represent the average speed for the last three hours (in mi/h).
The total distance traveled in the first two hours is \(\sf\:45 \, \text{mi/h} \times 2 \, \text{h} = 90 \, \text{miles} \\\).
The total distance traveled in 5 hours is \(\sf\:54 \, \text{mi/h} \times 5 \, \text{h} = 270 \, \text{miles} \\\).
The distance traveled in the last three hours is \(\sf\:270 \, \text{miles} - 90 \, \text{miles} = 180 \, \text{miles} \\\).
The average speed for the last three hours can be calculated as:
\(\sf\:\frac{\text{distance}}{\text{time}} = \frac{180 \, \text{mi}}{3 \, \text{h}} \\\)
Simplifying the expression:
\(\sf\:\frac{180}{3} = 60 \, \text{mi/h} \\\)
Therefore, the average speed for the last three hours is \(\sf\:\boxed{60 \, \text{mi/h}} \\\).
Answer:
Therefore, William's average speed for the last three hours was 60 mi/h, so the answer is (C) 60 mi/h.
Step-by-step explanation:
We can start by using the formula:
average speed = total distance / total time
We know that William drove for a total of 5 hours at an average speed of 54 mi/h, so the total distance he covered was:
total distance = average speed x total time
total distance = 54 mi/h x 5 h
total distance = 270 miles
We also know that for the first two hours, his speed was 45 mi/h. Therefore, he covered a distance of:
distance for first 2 hours = speed x time
distance for first 2 hours = 45 mi/h x 2 h
distance for first 2 hours = 90 miles
To find out the distance he covered for the last three hours, we can subtract the distance he covered in the first two hours from the total distance:
distance for last 3 hours = total distance - distance for first 2 hours
distance for last 3 hours = 270 miles - 90 miles
distance for last 3 hours = 180 miles
Finally, we can use the formula again to find his average speed for the last three hours:
average speed = distance for last 3 hours / time for last 3 hours
average speed = 180 miles / 3 hours
average speed = 60 mi/h
One hundred people came to the company's Thanksgiving dinner. There were fifty-two more vegetarians at the dinner than non-vegetarians. How many vegetarians were at the dinner?
Answers
Answer:
76
Step-by-step explanation:
Let the number of vegetarians be x. Then, the number of non-vegetarians is x-52.
\(x+x-52=100 \\ \\ 2x=152 \\ \\ x=76\)
How can a translation and a rotation be used to map ΔHJK to ΔLMN?
Translate H to L and rotate about H until HK lies on the line containing LM.
Translate K to M and rotate about K until HK lies on the line containing LM.
Translate K to N and rotate about K until HK lies on the line containing LN.
Translate H to N and rotate about H until HK lies on the line containing LN.
Answers
The way we can do a translation and a rotation to be used to map ΔHJK to ΔLMN is:
Option C: translate K to N and rotate about K until HK lies on the line containing LN.
How to find the transformation?There are different types of transformation such as:
Translation
Rotation
Reflection
Dilation
We want to find how a translation and a rotation be used to map ΔHJK to ΔLMN.
This is the concept of the transformation, ΔHJK=ΔLMN, from the diagram:
∠H=∠L
∠K=∠N
∠M=∠J
In order to map ΔHJK to ΔLMN, we need to translate K to N and rotate about K until HK lies on the same line containing LN.
Thus, the way we can do a translation and a rotation to be used to map ΔHJK to ΔLMN is:
Option C: translate K to N and rotate about K until HK lies on the line containing LN.
Read more about Transformation at: https://brainly.com/question/4289712
#SPJ1
A fixed ratio schedule provides reinforcement for a response only if a fixed time period has elapsed. true or false?
Answers
False. A fixed ratio schedule provides reinforcement for a response after a fixed number of responses, not based on a fixed time period.
A fixed ratio schedule provides reinforcement for a response only after a fixed number of responses have been made, not after a fixed time period has elapsed. In contrast, a fixed interval schedule provides reinforcement for a response after a fixed time period has elapsed.
Planning examples include support after certain responses have been submitted. The term flat rate is calculated using a fixed response. For example, if the rabbit were to get stronger when the force was pulled exactly five times, it would get stronger in time FR 5.
Learn more about ratio:
brainly.com/question/13419413
#SPJ11
A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each successive bounce is 73% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
Answers
The height of the 10th bounce of the ball will be 0.6 feet.
What is geometric sequence?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
\(\sf T_n=ar^{n-1}\)
Where,
\(\sf T_n\) is the nth term.r is the common ratioa is the first termAccording to the given question.
During the first bounce, height of the ball from the ground, a = 4.5 feet
And, the each successive bounce is 73% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 10\)
\(=\dfrac{73}{100}(10)\)
\(\sf = 0.73 \times 10\)
\(\sf = 7.3 \ feet\)
During the third bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 7.3\)
\(=\dfrac{73}{100}(7.3)\)
\(\sf = 5.33 \ feet\)
Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.73
Therefore,
The sixth term of the geometric sequence is given by
\(\sf T_{10}=10(0.73)^{10-1\)
\(\sf T_{10}=10(0.73)^{9\)
\(\sf T_{10}=10(0.059)\)
\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)
Hence, the height of the 10th bounce of the ball will be 0.6 feet.
Find out more information about geometric sequence here:
brainly.com/question/11266123
if the mean number of people who attended three basketball games was 8,242, what was the total attendance at the three games?'
Answers
If the mean number of people who attended three basketball games was 8,242, that means the sum of the number of people who attended all three games is equal to 8,242 multiplied by the number of games, which is 3.
What does math mean?
The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Total attendance = mean attendance * number of games
Total attendance = 8,242 * 3
Total attendance = 24,726
So the total attendance at the three games is 24,726 people.
Learn more about mean
https://brainly.com/question/1136789
#SPJ1
a dealership is allowing residents to test drive the following vehicles: 2 sports cars, 3 vans, and 3 trucks. if you select a random car to test drive, what are the odds it is not a sports car? write your answer as 1:2 which is reduced as much as possible.
Answers
Step-by-step explanation:
To find probability ratio wise
Sports Cars: Total Cars
3 + 3 + 2 = 8 total cars
2 sports cars
Ratio is 2:8
Reduces to 1:4
A new car typically loses 20% of it's initial value in it's first year. Estimate the value of an $18,600 car after one year, rounding to the nearest thousand.
Answers
Answer:
$15000
Step-by-step explanation:
80/100 ×18600 = 14880
= $15000 (nearest thousand)
(ASAP!) Graph the image of the figure on the right under the given translation.
Answers
The translation is as shown in the figure in option B
What is translation transformation?Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.
The transformation required ahs the rule defined as
3 units to the right and 4 unit upApplying the rule arrives the image in option B
Learn more about translation at
https://brainly.com/question/1574635
#SPJ1
can someone pls tell me if the equations are wrong or right and if wrong what is the proper equation
Answers
Answer:
the answer would be 12 apples pies andbakr
In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class passed the test?
Completed the homework
Did not complete the homework
Passed the test Failed the test
12
2
4
3
Answers
Answer:
20/27
Step-by-step explanation:
a binary tree is a structure in which each node is capable of having successor nodes, called .
Answers
A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."
In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.
To know more about binary tree,
https://brainly.com/question/33461694
#SPJ11
Determine the equation of the perpendicular bisector of the line segment with endpoints A(-1, 4) and B(7, -2)
Answers
Answer:
y = 4/3x - 3
Step-by-step explanation:
slope = (-2 - 4)/(7 - -1) = -6/8 = -3/4
perpendicular slope = 4/3
midpoint (-1 + 7)/2, (4 + -2)/2
(3, 1)
y = mx + b
1 = 4/3(3) + b
1 = 4 + b
-3 = b
y = 4/3x - 3
Solve for q in the proportion.
Answers
Answer:
15
Step-by-step explanation:
Step 1:
12/28 = q/35 Equation
Step 2:
28q = 420 Multiply
Step 3:
q = 420 ÷ 28 Divide
Answer:
q = 15
Hope This Helps :)
2. (10 points) Christine works in a medical lab. She has several blood samples. The volume of each sample was measured, and they are shown below. 2.350 milliliters 2.285 milliliters 2.332 milliliters 2.299 milliliters 2.317 milliliters A. Put the blood samples in order, from largest volume to smallest volume.
Answers
The volume of blood samples from smallest to largest can be ordered as 2.350 milliliters, 2.332 milliliters, 2.317 milliliters, 2.299 milliliters and 2.285 milliliters
What is Ordering of Numbers?Ordering of numbers is the listing of numbers in a specific order, may be from smallest to largest or from largest to smallest.
The given volumes are :
2.350 milliliters, 2.285 milliliters, 2.332 milliliters, 2.299 milliliters and 2.317 milliliters
We have to look at the decimal part because the real part is same 2 for all the values.
So the order is,
2.350 milliliters, 2.332 milliliters, 2.317 milliliters, 2.299 milliliters and 2.285 milliliters
Hence the order is 2.350 milliliters, 2.332 milliliters, 2.317 milliliters, 2.299 milliliters and 2.285 milliliters.
Learn more about Ordering of Numbers here :
https://brainly.com/question/3729546
#SPJ1
URGENT!! A rectangular desk in a classroom is 6 inches longer than it is wide. The perimeter of the desk is 84 inches. What is its length in inches?
Answers
Answer:
24x18 inches. 24+18+24+18=84