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jolli1 [7]
3 years ago
10

What is the solution to this system of equations? 5x + 2y = 29 x + 4y= 13

Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

x = 4.5

y = 3.25

Step-by-step explanation:

Use elimination

5x + 2y = 29

x + 4y = 13 (-5)

4y(-5) = 13(-5)

2y = 29

-20y = -65

y = 3.25

Sub it back into the equation

5x + 6.50 = 29

5x = 22.5

x = 4.5

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astra-53 [7]

The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.

<h3>How to solve the length?</h3>

Here, we have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 2 ft

BD = 35 ft

First, find AB:

AB/11 = (35 + 2)/2

AB/11 = 37/2

Cross multiply

AB = (37 × 11)/2

AB = 203.5 ft

Then, apply Pythagorean Theorem to find AE:

AE = √(AB² + BE²)

AE = √(203.5² + 37²)

AE = 207 ft

Therefore, the length of the guy wire is 207 ft.

Learn more about Pythagorean theorem on:

brainly.com/question/654982

5 0
2 years ago
−10 &gt; − 5 or −4 &lt; −20
natima [27]

-10 is less than -5 because negative numbers are farther from 0. Same applies to -4 and -20.

3 0
3 years ago
A store manager decides to clear out
azamat

Answer:

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Step-by-step explanation

For percent, to make it easier try to turn it into a 100.

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9x5=45.

Now subtract 45 from 100.

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7 0
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What is an equation, in standard form, of the line through (1,7) and (-2, -3)?
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Step-by-step explanation:

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Step-by-step explanation:

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