Find the slope of the line that passes through (6,
10) and (2, 3). Simplify your answer and write it as
an improper fraction, proper fraction or an
integer.
Answers
Answer:
\(m = \frac{10 - 3}{6 - 2} = \frac{7}{4} \)
Answer:
7/4.
Step-by-step explanation:
Slope = rise / run
= (10-3)/(6-2)
= 7/4.
Related Questions
Please help will give brainliest
Answers
The distance from Will's house to a park is 1 9/10 miles. Will
leaves his house and walks 2/5 mile toward the park. About
how much farther does he have to walk to reach the park?
Answers
Answer:
\(\boxed{1\dfrac{1}{2}\;miles}\)
Step-by-step explanation:
Convert 1 9/10 to an improper fraction and then the calculation becomes simpler
\(1 \dfrac{9}{10 } = \dfrac{ 1 \cdot 10 + 9}{10} = \dfrac{19}{10}\\\\\)
Since Will has already walked 2/5 of a mile to the park, the remaining distance
\(= \dfrac{19}{10} - \dfrac{2}{5}\\\\\)
Make the denominators the same by multiplying both the numerator and denominator of 2. This does not change the original value of 2/5
\(\dfrac {2 \times 2}{5 \times 2} = \dfrac{4}{10}\\\\\)
Therefore the remaining distance is
\(\dfrac{19}{10} - \dfrac{2}{5}\\\\\\= \dfrac{19}{10} - \dfrac{4}{10}\)
Since the denominator is the same we can simply subtract the numerator terms and use 10 as the denominator for the result:
\(= \dfrac{19-4}{10} = \dfrac{15}{10} \\\\\)
Dividing numerator and denominator by 5 reduces it to the lowest fraction
\(\dfrac{15 \div 5}{10 \div 5} = \dfrac{3}{2} = 1\dfrac{1}{2} \\\\\)
So Will needs to travel a further \(1\dfrac{1}{2}\) miles to reach the park
Can you turn all the mixed numbers in the boxes into and improper fraction please!!!
Answers
Answer:
answers are in the attached file!
Step-by-step explanation:
these are super simple to solve if you break it down! in order to turn a mixed number into an improper fraction, you first need to multiply the whole number by the denominator of the fraction. then, you add the numerator of the fraction to the product of the multiplication problem. that answer is then the new numerator of the fraction! the denominator will stay the same.
for example, the very first one that is given in the picture is 6 1/2. 6•2 equals 12, plus the numerator, 1, gives 13.
Wade has a test score of 77% on his first test and 65% on his second test. What must he score on a third test to have an average of 80% overall?
93%
98%
89%
None of these choices are correct.
Answers
Answer: 98%
Step-by-step explanation:
The third test score = x\(\frac{77+65+x}{3} =80\\\frac{142+x}{3} =80\\142+x=80*3\\x=240-142=98\)
Calculate work by parts. 5x2-23)
Answers
Answer:
10-23= -13 is the answer
Answer:
think -13 is the answer
Please explain how to solve this
Answers
The solution to the variables are x = 7 and y = 4
How to determine the solution to the variables?From the question, we have the following parameters that can be used in our computation:
Shape = Triangle
The marks on the triangles imply that
The visibly smaller triangle is an equilateral triangleThe other triangle is an isosceles triangleSo, we have the following representation
3x - 5 = 5y - 4
3x - 5 = y + 12
Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4
y + 12 = 5y - 4
Evaluate the like terms
4y = 16
So, we have
y = 4
Substitute y = 4 in 3x - 5 = y + 12
3x - 5 = 4 + 12
So, we have
3x = 21
This gives
x = 7
Hence, the values are x = 7 and y = 4
Read more about triangles at
https://brainly.com/question/14285697
#SPJ1
If the points (1,4) and (3,12) lie on the line representing a proportional relationship, what is another point that
lies on the line?
Answers
Answer:
its (2,8)
Step-by-step explanation:
the point is the multiple of the abscissa 1 and ordinate 4 if we multiply 2 with 1 and 4 we get (2,8) and the ratio is also same
or it can be all the multiples of 1 and 4
thank u
LXtra Practice
Set A (pp. 22-23)
Write each number in standard form.
1.
2.
3. 500 + 60 + 6
BB
Answers
Answer:
566
Step-by-step explanation:
We need to write the following number in standard form.
500 + 60 + 6
Here, the first no is 500, the second number is 60 and the other number is 6.
It can be done as follows :
500 + 60 = 560
And
560 + 6 = 566
So, the standard form is 566 inc which 6 is at one's place, another 6 at tens place and 5 at hundred places.
find the coordinates of the other endpoint of the segment, given it's midpoint and one endpoint. midpoint (-1, 8), endpoint (8,17)
Answers
Step-by-step explanation:
(x,y)-----(-20,-4)-----(-17,-5)
to go from -17 to -20 you subtract 3
to go from -20 to x you subtract 3 again to get -20-3=-23
to go from -5 to -4 you add 1
to go from -4 to y you add 1 again to get -4+1=-3
(-23,-3) (the midpoint is equidistant from both endpoints)
Which of the following equations represents the line with a slope of 2 and a y-intercept of 4?
y = 2x + 4
y = 1/2x - 4
y = 2x - 4
y = 1/2x + 4
Answers
Answer:
The equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:
y = 2x + 4Hence, option 'A' is correct.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptIn our case, we are given
Slope m = 2y-intercept b = 4substituting m = 2 and b = 4 in the slope-intercept form of the line equation
y = mx+b
y = 2x + 4
Therefore, the equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:
y = 2x + 4Hence, option 'A' is correct.
19. The ___ is the amount or part that results from the base multiplied by the rate.
A. increase
B. percent
C. rate
D. portion
Answers
Answer: B, Percent
Step-by-step explanation: The formula to find a whole after a percent is:
Worth = Part percent * Wole number / 100
This is the same as the definition says, "the amount or part that results from the base multiplied by the rate."
I need some help with this
Answers
What is the product of 4 and 8V200 in simplest radical form?
Answers
Answer:
320√2
Step-by-step explanation:
4 * 8√200
= 4 * 8√2√100
= 32 * √2 * 10
= 320√2
Complete the expression so that it is equivalent to 2 (x+6)
Answers
The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.
What is an expression?
A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
Given expression is
2 (x+6)
Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.
The mathematical representation is a(b+c) = ab + ac.
Apply the Distributive property in the given expression:
(2×x) + (2×6)
To learn more about expression, click on the below link:
https://brainly.com/question/26523496
#SPJ1
Find the value of 3(5. 10 + 2).
Answers
Answer:
the value is
Step-by-step explanation:
=3(5.10+2)
=3(7.1)
=21.3
Answer:
3(5. 10+2)
Step-by-step explanation:
3(5.12)
3(60)
180
describe the following polynomial by degree and number of terms x^4-3x^2+2
Answers
Answer:
Option c
Step-by-step explanation:
Three terms and the degree is four
Hence Three terms,fourth Degree is your required answer
I hope it helped you
There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? Yes or No
Answers
Answer:
I don't think so
Step-by-step explanation:
There are some numbers called the Taxi cabs they satisfy this relation : x³+y³=z³+a³ like the famous Ramanujin number 17291729 = 1³+12³=9³+10³ there are four numbers (1,12,9,10) i don't think so that there are 3 numbersCan someone help me?
Answers
-8/12
add together but keep the negative
It is A (45). Hope this helps!
Answers
(-2p+7) (4p - 3) please help
Answers
Answer:
Step-by-step explanation:
-8p^2 + 6p + 28p - 21
-8p^2 + 34p - 21
Answer:
-8p² + 34p - 21
Step-by-step explanation:
(-2p + 7)(4p-3)
= -2p*4p -2p*-3 + 7*4p + 7*-3
= -8p² + 6p + 28p - 21
= -8p² + 34p - 21
Three times a number plus nine is five
Answers
A circle has a center at the point (-1,-3). Line AB is tangent to the circle at point A. The equation of this tangent is y=x+4. Line XY is another tangent to the circle at point X, such that line XY II Line AB. Find the coordinates of point A and point X.
Answers
Using the equation of circle and the equation of the tangent, the coordinates of point A are (-5,-1), the coordinates of point X are (-3,-7).
What is the coordinates of point A and X?Find the equation of the circle.
The center of the circle is at (-1,-3). The radius of the circle is unknown. The equation of the circle is:
\((x+1)^2+(y+3)^2=r^2\)
The slope of AB can be calculated as;
The equation of line AB is y = x + 4. The slope of line AB is 1.
The equation of line XY, which is parallel to line AB.
The slope of line XY is also 1, since they are parallel. The equation of line XY is:
\(y=x+c\)
Plug in the point (-1,-3) to solve for the y-intercept of line XY.
\(-3=-1+c\\c=-4\)
The equation of line XY is y=x-4.
The coordinates of point A are the point of intersection of line AB and line XY.
To find the coordinates of point A, we need to solve the system of equations:
\(y=x+4\\y=x-4\)
The solution to this equation is x = 0. We can plug this value into either equation to solve for y. This gives us y=-4. Therefore, the coordinates of point A are (0,-4).
The coordinates of point X are the point of intersection of line XY and the circle.
To find the coordinates of point X, we need to solve the system of equations:
\(y=x-4\\(x+1)^2+(y+3)^2=r^2\)
We can solve this system of equations by substituting the equation y=x-4 into the equation
\((x+1)^2+(x-4+3)^2=r^2\)
Expanding the terms in the equation gives us:
\(x^2+2x+1+(x^2-x+9)=r^2\)
Combining like terms gives us:
\(2x^2+x+10=r^2\)
We are given that the center of the circle is at (-1,-3). Therefore, the radius of the circle is the distance between the point (-1,-3) and the point (0,-4). This distance is 1. Therefore, the equation of the circle is:
\((x+1)^2+(y+3)^2=1\)
We can substitute this equation into the equation 2x² + x +10= r² to solve for r. This gives us:
\(2x^2+x+10=1\)
Combining like terms gives us:
\(2x^2+x-9=0\)
Factoring the equation gives us:
\((x-1)(2x+9)=0\)
The solutions to this equation are x = 1 and x = -9/2. We can discard the solution x = -9/2, since it is outside the range of the real numbers. Therefore, the radius of the circle is 1.
The coordinates of point A are (-5,-1).
The coordinates of point X are (-3,-7).
Learn more on equation of circle here;
https://brainly.com/question/24810873
#SPJ1
if m<xyz = 58 and m<wxz = 51 find m<wzx
Answers
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False
Answers
9514 1404 393
Answer:
B. False
Step-by-step explanation:
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
There is nothing in the diagram to require the triangles be congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ7
4x+9=3x+6+x-10
What does x equal
Answers
Answer:
Answer is in the attachment!!
HOPE IT HELPS U!!!!
The answer is 118 as well right??
Answers
Answer: 118 is the correct degree
Step-by-step explanation:
Solve the absolute value.
|
x
|
=
8
Answers
Answer:
x = -8, x = 8
Step-by-step explanation:
|x| = 8
The absolute value turns the negative value inside the positive.
When given an absolute value like this, there are two cases.
If the absolute value is equal to something greater than 0, it has two solutions. If less than 0, it has no solutions. If it is equal to 0 it has 1 solution.
Since 8 is greater than 0, there are two solutions.
On solution is the positive version, one is the negative
So:
|x| = 8x = 8, x = -8-Chetan K
Solution:
Note that:
Given equation: IxI = 8If a question is saying to find the absolute value of a number, that number will always result in positive.This can lead to two solutions:
IxI = 8 ⇒ x = 8IxI = 8 ⇒ x = -8A is the point on X-anis whose abscissa is 6 and Bis the point on Y-anis whose ordinate is - 8. Find the distance between AB.
Answers
A coordinate plane is a two-dimensional grid that has an x-axis (horizontal) and a y-axis (vertical). A point on the coordinate plane has an x-coordinate (abscissa) and a y-coordinate (ordinate) that show its position on the grid. The distance between two points can be found by using the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
d=(x2−x1)2+(y2−y1)2
where d is the distance, (x1,y1) and (x2,y2) are the coordinates of the two points. In this problem, the coordinates of point A are (6,0) and the coordinates of point B are (0,−8). Plugging these values into the formula, we get:
d=(0−6)2+(−8−0)2
d=36+64
d=100
d=10
Therefore, the distance between A and B is 10 units.
Express 0.34 in p/q form
Answers
Step-by-step explanation:
0.34
34/100
=17/50
!!!!!!!!!!!!!
which is larger
8/k^2+2 and k^2+2
Answers
Answer:
Step-by-step explanation:
d e e z n u t z