W - a width
3w - a length
27 ft² - an area
Therefore:
w · 3w = 27
3w² = 27 |:3
w² = 9 → w = √9 → w = 3
3w = 3 · 3 = 9
width = 3
length = 9
The perimeter:
P = 2 · width + 2 · length
P = 2 · 3 + 2 · 9 = 6 + 18 = 24 ft.
The answer is C) m∠1 + m∠2 = 90
Explanation: So ∠1 is x and ∠2 is x-4
Basically you know than ∠3 is 90° ... And a straight line is 180° .. So technically we can just find out 180-90 is 90(the other angle 1 + 2).
To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-
So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°
In other words you can say m∠1 + m∠2 = 90
Answer:
Combine like terms onto one side of the equation
Step-by-step explanation:
You have
-x^2 -4x - 3 = 2x + 5
It seems that we should combine like terms to make this equations smaller.
-x^2 - 4x - 3 - 2x - 5 = 0
-x^2 -6x - 8 = 0
- (x + 2)(x + 4) = 0
x = -2 or x = -4
Answer:
A. y = 3 cos (1/2) x.
Step-by-step explanation:
The y-intercept is 3 so it will contain 3 cos x (because y = cos x passes through (0, 1).
The graph of 3 cos x has been stretched horizontally by a factor 2 ( 3 cos x would pass through (π/2, 0) whereas the given graph passes through (π, 0).
So the equation is 3 cos(1/2) x
