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dedylja [7]
3 years ago
11

Help please!! Multiple choice geometry coordinates question Question 12

Mathematics
1 answer:
Ghella [55]3 years ago
3 0

In the attached picture you find the two triangles. To check if the lengths of the sides are the same, we use the formula for the distance between two points:

d(A,B) = \sqrt{(A_x-B_x)^2+(A_y-B_y)^2}

If we plug the values for the points of PQR, we have

\overline{PQ} \approx 5.39

\overline{QR} \approx 3.61

\overline{PR} \approx 7.07

Similarly, for STU we have

\overline{ST} \approx 5.1

\overline{TU} \approx 2.24

\overline{SU} \approx 6.71

As you can see, the lengths of the sides do not match, as a triplet, so the two triangles are not congruent.

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5x + 2y = 6 3x + y = 4 Which of the following is part of the solution to the system of equations?
BabaBlast [244]
5x + 2y = 6
3x + y = 4....multiply by -2
-------------
5x + 2y = 6
-6x - 2y = -8 (result of multiplying by -2)
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-x = -2
x = 2

5x + 2y = 6
5(2) + 2y = 6
10 + 2y = 6
2y = 6 - 10
2y = -4
y = -4/2
y = -2 <=== here it is
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Evaluate the expression when x = 1/2 and y = -2/5. Show all work.<br>1. -x + y<br>2. x +2y
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3 years ago
What number solves the equation x + 7.4 =11.2
Sunny_sXe [5.5K]

The value of x is 3.8

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

x + 7.4 = 11.2

We have to solve the equation for "x"

Move the terms so that you end up with only terms involving x on one side of the sign and all the numbers on the other

Therefore, we get

x + 7.4 = 11.2

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3 years ago
PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A.
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Answer: a. c = 30 + 45h

b. $322.50

Step-by-step explanation:

A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours.

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c = 30 + 45h

B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job?

Using the expression,

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c = 30 + 45(6 1/2)

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Therefore, Juan will pay $322.50

6 0
3 years ago
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