A triangle has the given vertices. Graph the triangle and classify it by its
sides. Then determine if it is a right triangle. A(1,9), B(4,8), C(2,5)
Lengths (round to the hundredth place)
AB =
AC =
: BC =
Slopes (No decimals. Use slash / for fractions)
;m of AC =
m of AB =
im of BC =
Is the triangle a right triangle (yes or no)?

Answer:

Step-by-step explanation:

$32 per day right and 3 days so what you do is multiply $32 by 3, which is $96.

So far thats $96.

Then 0.69 per mile and 289. That means you do 289*$0.69, which is $199.41

Add those together and thats 295.41 which is the 1st answer.

Hope that helps!!

P.S. maybe brainliest?? no pressure

Answer:

Rob is the faster reader.

Step-by-step explanation:

To find out who is the faster reader between Eric and Rob, we can compare their respective reading rates, or how many pages they read per minute. We can find this by dividing the amount of pages they read by how long it takes them to read said amount.

Eric reads 3 pages in 7 minutes, so his rate is \(\frac{3}{7} \) pages per minute.

Rob reads 8 pages in 14 minutes, so his rate is \(\frac{8}{14} =\frac{4}{7} \) pages per minute.

All we have to do now is compare their reading rates. The one with the larger quantity will be the faster reader. \(\frac{4}{7} > \frac{3}{7} \), so Rob is the faster reader.

To learn more about unit rates, check out the following questions:

Hi!

To solve this we can set up two ratios, or fractions, to see who reads the fastest.

3 pages per 7 minutes is 3:7 or \(\frac{3}{7}\)

8 pages per 14 minutes is 8:14 or \(\frac{8}{14}\) = \(\frac{4}{7}\)

They have the same denominator, 7, so we can see who has the bigger numerator. 4 > 3, which means that 8 pages per 14 minutes is faster, therefore Rob is faster.

Answer:

I think it is 5/6

Step-by-step explanation:

She should do 5/6 of the way because 1/3x1/2=5/6

Answer:

16.5% full

Step-by-step explanation:

1/2 in decimal is 0.5

1/3 in decimal is 0.33

0.5x0.33=0.165

0.165 as a percentage is 16.5%

Answer:

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

Step-by-step explanation:

He wants a real dimension of 10 yards to be represented by a scale dimension of 4 ft.

4 ft : 10 yd

Divide both sides by 4.

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

y + 6 = 4/3(x - 2)

First, distribute the 4/3

y + 6 = 4/3x - 8/3

Subtract 6 from both sides.

y = 4/3x - 26/3

-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)

After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.

0 + 3 = 3

-26/3 + 4 = -14/3

The next point should be at (3, -14/3)

Add as many points as your professor requires.

Answer:

(0, -26/3)     (3, -14/3)

Step-by-step explanation:

y+6 = 4/3x - 8/3

y = 4/3x - 26/3

(0, -26/3)

-26/3 + 4 = -14/3

 (3, -14/3)

Answer:

The value of b is 9.5

Step-by-step explanation:

If a system of equations has infinitely  many solutions, that means the two equations are equal

If the system of equations ax + by = c, dx + ey = f, then

Let us use this fact to solve the question

∵ 3x - y = 19 ⇒ (1)

∵ 1.5x - 0.5 y = b ⇒ (2)

∵ This system of equations has infinitely many solutions

∴ The coefficients of x must be equal

∴ The coefficients of y must be equal

∴ The numerical terms must be equal

→ Multiply equation (2) by 2 to make the coefficients of x and y on it

  equal the coefficients of x and y in equation (1)

∵ 2(1.5x) - 2(0.5y) = 2(b)

∴ 3x - y = 2b ⇒ (3)

→ By comparing equations (1) and (3), 19 must equal 2b

∵ 2b = 19

→ Divide both sides by 2

∴ b = 9.5

∴ The value of b is 9.5

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Answer:

32

Step-by-step explanation:

2 x $48 = $96

$96 ÷ 3 = $32

Answer:

Step-by-step explanation:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

Answer:

Volume injected  = 1.65 ml

Step-by-step explanation:

mass of Demerol =45 mg.

density of pre-filled in syringe = 50 mg/ml

Volume = 45/50 = 0.9 ml

For atropine mass = 0.3 mg

density= 400 mcg/ml     [ Note : 1 mcg = 0.001 mg]

volume filled  = 0.3/400(0.001) = 0.75 ml

So, the total volume filled = 0.75+0.9 = 1.65 ml

Answer:

Step-by-step explanation:

E and F are horizontally aligned, so the slope of  EF is 0 and its length is 16-10 = 6.

G and H are horizontally aligned, so the slope of  GH is 0 and its length is 16-10 = 6.

F and G are vertically aligned, so FG is vertical and its length is 10-4 = 6.

E and HG are vertically aligned, so EH is vertical and its length is 10-4 = 6.

Quadrilateral EFGH is a square.

Answer:

Step-by-step explanation:

180-68=112

1= 68

2=112

Step-by-step explanation:

Please type or post your question....

hope you might understood

The input value falls in Partition 3, the output will display an error message stating that the input is invalid.

Based on equivalence partitioning, the valid and invalid partitions for the input values can be determined as follows:

Valid partitions:

Partition 1: Total purchase amount >= $1000

Partition 2: Total purchase amount > $0 and < $1000 (No rebate)

Invalid partitions:

Partition 3: Total purchase amount <= 0 (Invalid input)

The boundary values for the input can be determined as follows:

Boundary 1: Total purchase amount = $0

Boundary 2: Total purchase amount = $1000

Boundary 3: Total purchase amount = $900 (falls in Partition 2)

Boundary 4: Total purchase amount = $5000 (rebate rate = 4%, max rebate rate)

Based on the input value, the output can be determined as follows:

If the input value falls in Partition 1 or Partition 2, the output will include the rebate rate and the rebate amount based on the given conditions.

If the input value falls in Partition 3, the output will display an error message stating that the input is invalid.

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Answer:0.333

Step-by-step explanation:4+8=12 so there is only 4 chances it can be male so 4/12=0.333

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

probability (P) is calculated as

P = (desired result ) ÷ ( number of possible results )

here desired result is choosing a male from 4 males

number of possible results = 4 + 8 = 12 , then

P( male) = \(\frac{4}{12}\) = \(\frac{1}{3}\)

The classification of the compounds according to their functional class: A | Aldehyde

B | Alcohol

C | Ketone

D | Amine

Compound A contains a carbonyl group (C=O) bonded to two alkyl groups (R-). This is the general structure of an aldehyde. Aldehydes are characterized by their strong, sweet odor.

They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound B contains an oxygen atom (O) bonded to two alkyl groups (R-). This is the general structure of an alcohol. Alcohols are characterized by their ability to dissolve other polar compounds, such as water. They are also used in a variety of products, such as solvents, cleaners, and fuels.

Compound C contains a carbonyl group (C=O) bonded to a propyl group (CH3CH2CH2-) and an amino group (NH2). This is the general structure of a ketone.

Ketones are characterized by their strong, sweet odor. They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.

Compound D contains a nitrogen atom (N) bonded to three alkyl groups (R-). This is the general structure of an amine. Amines are characterized by their basic properties. They are also used in a variety of products, such as pharmaceuticals, plastics, and fertilizers.

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Answer: (a+2b) (a-b)

Step-by-step explanation:

Equation at the end of step 1

 ((a2) +  ab) -  2b2

Trying to factor a multi variable polynomial

2.1    Factoring    a2 + ab - 2b2

Found a factorization  :  (a + 2b)•(a - b)

Hope this helps

Answer:

\(\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1\)

Step-by-step explanation:

Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).

So, we use the equation in standard form

\(\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\)

Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.

Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,

-bx/a = -x ⇒ b/a = 1 ⇒ a = b

Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²

substituting c = 5 and a = b into the equation, we have

c² = a² + b²

5² = a² + a²

25 = 2a²

a² = 25/2

a = √(25/2)

a = ±5/√2

rationalizing, we have

a = ±5/√2 × √2/√2

a = ±5√2/2

Since a = b, b = ±5√2/2

Inserting a and b into the equation for the hyperbola, we have

\(\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1\)

So, the required equation is

\(\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1\)

Answer:

can u pls write it in english

Answer:

2

Step-by-step explanation:

18x -12 = 18x -12 +2

18x -12 = 18x -10

18x cancel each other out

-12 = -10

-12 + 12 = -10 + 12

add 12 to each side

= 2

2) \(ABCD\) is a rhombus (a parallelogram with perpendicular diagonals is a rhombus)

3) \(\overline{AC}\) bisects \(\angle BCD\) (diagonals of a rhombus bisect the angles from which they are drawn)

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

\(A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2\)

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

\(A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8\)

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8

Answer:

no solution

Step-by-step explanation:

Your question is in the form:

absval of something

= a NEGATIVE number



The absolute value is always positive. So it can never be negative.

There are no values that x can be that will make this math sentence true.

It's not really a trick question, but the course/teacher/book/program just wants you to recognize that an absolute value CANNOT be negative.

Answer:

The first is (-1, 1) and the second is (2, -2)

Step-by-step explanation:

Answer:

1022

Step-by-step explanation:

360+600+12+45+9=1022

When x is correlated with y, it means that there exists a relationship between the two variables, where a change in one variable (x) is associated with a change in the other variable (y).

This relationship can be either positive or negative.

In a positive correlation, as the value of x increases, the value of y also increases, and as the value of x decreases, the value of y decreases as well. This indicates that both variables move in the same direction. On the other hand, in a negative correlation, as the value of x increases, the value of y decreases, and as the value of x decreases, the value of y increases. This shows that the variables move in opposite directions.

It is essential to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change. There could be other factors or variables that influence the observed relationship between x and y. Additionally, the strength of the correlation can vary, with values close to 1 or -1 representing a strong relationship and values close to 0 representing a weak relationship or no relationship at all.

In conclusion, when x is correlated with y, it means that there is a relationship between the two variables that can be either positive or negative, but this does not necessarily imply causation. The strength of the relationship can also vary, depending on the correlation coefficient value.

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Answer: \(y=\frac{3}{17}x-13\)

Step-by-step explanation:

Find the slope of the line between (-17, -16) and (0,-13) using \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\), the change of y over the change of x

\(m=\frac{3}{17}\)

Use the slope and a given point to substitute for \(x_{1}\) and \(y_{1}\) in the point-slope form \(y-y_{1} =m(x-x_{1} )\).

\(y-(-16)=\frac{3}{17}(x+17)\)

Solve for y and rewrite into \(y=mx+b\)

\(y=\frac{3}{17}x-13\)

Answer:

the number of sides is 12

Step-by-step explanation:

The computation of the number of sides in the polygon is shown below:

As we know that

S_n = n ÷ 2 (a_1 + a_n)

= n ÷ 2 × (128 + 172)

= 150 n

Now given that the sum of the measures = 180 (n - 2)

So,

Sn = 180 (n - 2)

150n = 180n - 360

30n = 360

n = 12

Hence, the number of sides is 12

Answer: 4

Step-by-step explanation: