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3 years ago

15

Audrey needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for

4.25 hours and charged her $156 for parts. The total was $347.25. What was the cost of labor, per hour?

1 answer:

Semenov [28]3 years ago

6 0

The answer is 571=121+6x

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(please answer if you know how to do this, it's due today !!) Solve for x, y and z. No links please

satela [25.4K]

Answer:

x = 4

y = 2√5

z = 3√5

Step-by-step explanation:

There are 3 right triangles here, so we can create 3 expressions using Pythagoras' Theorem:

a² + b² = c²

(where a and b are the legs, and c is the hypotenuse)

smallest triangle: x² + y² = (x + 2)²

medium triangle: (x + 1)² + y² = z²

largest triangle: (x + 2)² + z² = (x + x + 1)²

rewrite the smallest triangle expression to make y² the subject:

x² + y² = (x + 2)²

⇒ x² + y² = x² + 4x + 4

⇒ y² = 4x + 4

rewrite the medium triangle expression to make z² the subject, substituting y² = 4x + 4:

(x + 1)² + y² = z²

⇒ (x + 1)² + 4x + 4 = z²

⇒ x² + 2x + 1 + 4x + 4 = z²

⇒ z² = x² + 6x + 5

rewrite the largest triangle, substituting z² = x² + 6x + 5 and solve for x:

(x + 2)² + z² = (x + x + 1)²

⇒ (x + 2)² + x² + 6x + 5 = (2x + 1)²

⇒ x² + 4x + 4 + x² + 6x + 5 = 4x² + 4x + 1

⇒ 2x² - 6x - 8 = 0

⇒ x² - 3x - 4 = 0

⇒ (x + 1)(x - 4) = 0

⇒ x = -1, x = 4

as x > 0, x = 4 only

Substitute found value for x into y² = 4x + 4 and solve for y:

y² = (4 x 4) + 4

⇒ y² = 20

⇒ y = √20 = 2√5

Substitute found value for x into z² = x² + 6x + 5 and solve for z:

z² = 4² + (6 x 4) + 5

⇒ z² = 45

⇒ z = √45 = 3√5

8 0

3 years ago

What is the area of a rectangle that is 4 x 4 1/2?

Vladimir79 [104]

The area of the rectangle is 18 , I didn't understand the equation fully so I did (4*4.5=18) because (1/2=.5) .

Hope this helps

6 0

3 years ago

8 4/5−5 1/10<br> 3 3/10<br><br> 3 3/5<br><br> 3 5/5<br><br> 3 7/10

sesenic [268]

8 4/5= 8 8/10

8 8/10- 5 1/10= 3 7/10

The 4th option is correct.
Hope this helps!

3 0

3 years ago

Read 2 more answers

Find slope x-intercept=5,y-intercept=3

shutvik [7]

Intercepts<span> occur when a line crosses the </span>x<span>-axis or the </span>y<span>-axis. When the line crosses the </span>x<span>-axis, then </span>y<span> = 0 and </span>x<span> = </span>3<span>. ... The </span>intercept<span> points are (0, 4) and (</span>3<span>, 0 ). So the </span>y-intercept<span> is 4 and the </span>x intercept<span> is </span>3<span> and the sum is 7.</span>

7 0

4 years ago

Find the equation in standard form of the line passing through the points (2,-3) and (4,2)

mario62 [17]

The line passes through (2,-3) and (4,2).

Calculate the slope of the line.
m = (2+3)/(4-2) = 5/2

The equation of the line is therefore
$\frac{y-2}{x-4} = \frac{5}{2}$

Cross multiply.
2(y-2) = 5(x-4)
2y - 4 = 5x - 20
2y = 5x - 16
Rewrite as
5x - 2y = 16

Answer: C. 5x - 2y = 16

8 0

3 years ago