Answer:
32x+20
Step-by-step explanation:
4*8x+4*5=
32x+20
Answer:
24 ÷ 0.012 =2000
Step-by-step explanation:
24 ÷ 0.012
= 2000
Answer:
1) a = -⅙, b = ⅙, c = 1
2) 6 units
Step-by-step explanation:
1) f(x) = ax² + bx + c
Given the roots, we can write this as:
f(x) = a (x + 2) (x − 3)
We know that f(13) = -25, so we can plug this in to find a:
-25 = a (13 + 2) (13 − 3)
-25 = 150a
a = -⅙
Therefore, the factored form is:
f(x) = -⅙ (x + 2) (x − 3)
Distributing:
f(x) = -⅙ (x² − x − 6)
f(x) = -⅙ x² + ⅙ x + 1
Graph: desmos.com/calculator/6m6tjoodvb
2) Volume of a right prism is area of the base times the height.
V = Ah
The base is an equilateral triangle. Area of a triangle is one half the base times height.
V = ½ ab h
The height of the triangle is the same as the height of the prism.
V = ½ bh²
In an equilateral triangle, the height is equal to half the base times the square root of 3.
V = ½ b (½√3 b)²
V = ⅜ b³
Given that V = 81, solve for b.
81 = ⅜ b³
216 = b³
b = 6
180 degrees - 115 degrees = 65 degrees
65 degrees + 90 degrees = 155 degrees
180 degrees - 155 degrees = y
Y= 25 degrees
The measure of angle E is (b) 50°
<h3>How to determine the angle measure?</h3>
The given parameters are:
- ΔCAB is similar to ΔCED
- AB and ED are parallel
The similarity of the triangles implies that:
- angle C = angle C
- angle A = angle E
- angle B = angle D
From the figure, we have:
angle A = 50
Substitute angle A = 50 in angle A = angle E
angle E = 50
Hence, the measure of angle E is (b) 50°
Read more about similar triangles at:
brainly.com/question/14285697
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