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Norma-Jean [14]
3 years ago
7

Y=2x-1 and y=x-8 using substitution​

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer:

Step-by-step explanation:

y = 2x - 1

y = x - 8 ------ (i)

substitute y = 2x - 1 in equation (i)

2x - 1 = x - 8

2x = x - 8 + 1

2x = x - 7

2x - x = -7

x = -7

Substitute x value in equation (i)

y = -7 - 8

y = -15

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Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the sq
lara31 [8.8K]

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

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Serggg [28]

Answer:

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Step-by-step explanation:

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2 years ago
In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°
Vinvika [58]
<span>The complete question is shown in the attached image

<u><em>Answer:</em></u>
measure angle H = 42</span>°<span>

<u><em>Explanation:</em></u>
<u>There is a theorem that states that:</u>
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

<u>In the given, we have:</u>
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

<u>Based on the above rule:</u>
measure angle E = measure angle D + measure angle H

<u>We are given that:</u>
angle E = 87</span>°<span>
angle D = 45</span>°<span>

<u>Substitute with the givens in the above rule and solve for the measure of angle H as follows:</u>
angle E = angle D + angle H
87</span>°<span> = 45</span>°<span> + measure angle H
measure angle H = 87</span>°<span> - 45</span>°<span>
measure angle H = 42</span>°<span>

Hope this helps :)</span>

3 0
3 years ago
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