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taurus [48]
3 years ago
7

What is the distance between the two endpoints in the graph below? if necessary,round your answer to two decimal places

Mathematics
2 answers:
Tatiana [17]3 years ago
8 0
The distance formula is : distance = SQRT((x2-X1)^2 + (y2-y1)^2)

Use (3,5) for X1 and Y1
Use (-6,-6) for X2 and Y2

You now have:

distance = SQRT ( (-6 - 3)^2 + (-6 - 5)^2)

distance = SQRT (-9^2 + -11^2)

distance = SQRT ( 81 + 121)

distance = SQRT (202)

distance = 14.21 units

The answer is A.


enyata [817]3 years ago
5 0
The distance between the two endpoints is :

14.212 or about 14.21 ( rounded to the nearest hundredth)
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What is the solution to the system of equations?
Sergio039 [100]
The value for x is already given; x = -2

Substitute -2 in for x in the second equation.

y = 2/3(-2) + 3
y = -4/3 + 3
y = 5/3 

The final answer is (-2, 5/3).


7 0
3 years ago
The average annual tuition for four-year private colleges increased by 5.9 percent from last year. The average cost last year wa
monitta

Answer:

The average cost this year = $33,093.75

Step-by-step explanation:

The computation of the average cost this year is shown below:

Given that

The average cost for the last year = $31,250

Increased percentage = 5.9%

Based on the above information, the average cost this year is

= The average cost for the last year × (1 + Increased percentage)

= $31,250 × (1 + 0.059)

= $31,250 × 1.059

= $33,093.75

3 0
3 years ago
Anna wants to celebrate her birthday by eating pizza with her friends. For $42.50 total, they can buy p boxes of pizza. Each box
steposvetlana [31]

Answer:

A.

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3 0
3 years ago
What are the output for an input of x=5 given functions defined by following formulas: y=2 to the power of x can someone please
atroni [7]

Answer:

<h2>input x = 5, output y = 32</h2>

Step-by-step explanation:

y=2^x\\\\\text{Put}\ x=5\ \text{to the equation of the function:}\\\\y=2^5=2\cdot2\cdot2\cdot2\cdot2=32

5 0
3 years ago
Given the points M (-10, 12) and T(6,8), find the coordinates of the point Q on a directed line segment MT that partitions MT in
uranmaximum [27]

Answer:

Q(x,y) = (\frac{-18}{5},\frac{52}{5})

Step-by-step explanation:

Given

M = (-10,12)

T = (6,8)

Ratio = 2:3 at Q

Required

Determine Q

This can be calculated using line ratio formula;

Q(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})\\

Where:

(x_1,y_1) = (-10,12)

(x_2,y_2) = (6,8)

m:n = 2:3

So, we have:

Q(x,y) = (\frac{2 * 6 + 3 * -10}{2+3},\frac{2 * 8 + 3 * 12}{2+3})

Q(x,y) = (\frac{12 -30}{5},\frac{16 + 36}{5})

Q(x,y) = (\frac{-18}{5},\frac{52}{5})

Hence;

The coordinates of Q are:

Q(x,y) = (\frac{-18}{5},\frac{52}{5})

5 0
3 years ago
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