Answer:
The possible values are a = -2.5 or a = 4.5.
Step-by-step explanation:
Composite function:
The composite function of f(x) and g(x) is given by:
In this case:
So
Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).
This means that when 
. So
Solving a quadratic equation, by Bhaskara:
The possible values are a = -2.5 or a = 4.5.
You essentially have four triangles. The area of a triangle is: A=bh/2 (b=base length and h=height)
So the area is simply the sum of the four triangle areas...
A=(3*2)/2+(3*2)/2+(7*2)/2+(7*2)/2
A=20 ft^2
Answer:
<u>Find the missing side first.</u>
- x =
1) tangent = opposite leg / adjacent leg
- tanβ = √95/7
- Correct choice is B
2) sine = opposite leg / hypotenuse
- sinβ = √95/12
- Correct choice is D
Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.
We can solve for x for the other 3 options by setting up this equation:
7x+2 + 4x+7 + 8x = 180 | Simplify
19x + 9 = 180 | Subtract 9
19x = 171 | Divide by 19
x=9
Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72
Looking at the options again, we can see that A, B, and D are true, leaving C to be false.
