Answer:
y = 120°
Step-by-step explanation:
angles in a triangle add up to 180 degrees
180 - (87 +33) = 60
x = 60 degrees
angles on a straight line add up to 180 degrees
180 - 60 = 120
y = 120
Answer:
Give me any one dimension hieght or radius.
Answer: C) Sometimes positive; sometimes negative
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Explanation:
Pick a value between x = -1 and x = 0. Let's say we go for x = -0.5
Plug this into f(x)
f(x) = x(x+3)(x+1)(x-4)
f(-0.5) = -0.5(-0.5+3)(-0.5+1)(-0.5-4)
f(-0.5) = -0.5(2.5)(0.5)(-4.5)
f(-0.5) = 2.8125
We get a positive value.
This shows that f(x) is positive on the region of -1 < x < 0
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Now pick a value between x = 0 and x = 4. I'll use x = 1
f(x) = x(x+3)(x+1)(x-4)
f(1) = 1(1+3)(1+1)(1-4)
f(1) = 1(4)(2)(-3)
f(1) = -24
Therefore, f(x) is negative on the interval 0 < x < 4
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In short, f(x) is both positive and negative on the interval -1 < x < 4
It's positive when -1 < x < 0
And it's negative when 0 < x < 4
Answer:
6+20y
y=_14
Step-by-step explanation:
6+20y
y=_14
Answer:
x = 18 units.
Area of triangle = 156 units^2.
Step-by-step explanation:
Area of the rectangle = 4(2x + 3) and the area of the triangle = 1/2*6*(3x - 2).
These are equal, so:
4(2x + 3) = 1/2*6*(3x - 2)
8x + 12 = 9x - 6
12 + 6 = 9x - 8x
x = 18.
Area of triangle = 1/2 * 6 * (3(18) - 2)
= 3 * 52
= 156 units^2.
