Step-by-step explanation:
= (1 + 5z)(-4)
= (1 + 5z) × (-4)
= 1.(-4) + 5z. (-4)
= -4 - 20z
If you would like to solve the system of equations, you can do this using the following steps:
4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
<span>4x^2 + 9y^2 = 72
</span><span>4x^2 + 9 * (2x - 4)^2 = 72
</span>4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
40x^2 - 144x + 72 = 0
10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
(5x - 3) * (x - 3) = 0
1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3
<span>1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2
1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)
The correct result would be </span>(3/5, -14/5) and <span>(3, 2).</span>
Answer:
<u>The perimeter of the pentagon ≅ 19 units (approximately)</u>
Step-by-step explanation:
Clockwise, starting from the base of the pentagon, we have:
- Base of the pentagon or bottom side ≅ 4 units
- 2nd side ≅ 3.75 units
- 3rd side ≅ 3.75 units
- 4th side ≅ 3.75 units
- 5th side ≅ 3.75 units
In consequence,
Perimeter of the pentagon ≅ 4 + 3.75 + 3.75 + 3.75 + 3.75
<u>Perimeter of the pentagon ≅ 19 units</u>
The expected value of y when x is equals to 45 in the equation is 35.06
<h3>How to find variable from an equation?</h3>
The equation is given as follows;
y = -2.61x + 152.51
where
- x = variable 1
- y = variable 2
Therefore,
when
x = 45
y = -2.61x + 152.51
y = -2.61(45) + 152.51
y = - 117.45 + 152.51
y = 35.06
learn more on equation here: brainly.com/question/14279419
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