Answer:
x ≈ 34.28
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan29° = 
= 
( multiply both sides by x )
x × tan29° = 19 ( divide both sides by tan29° )
x = 
≈ 34.28 ( to the nearest hundredth )
Answer:
3
Step-by-step explanation:
The expression is 
. To find the value, substitute the values x = 3 and y =-2 then follow order of operations.
G(x)=4x^2-16
To shift to the right we have to subtract from the value of x, in this case by 5 units...
h(x)=4(x-5)^2-16
h(x)=4(x^2-10x+25)-16
h(x)=4x^2-40x+100-16
h(x)=4x^2-40x+84
Now to shift the function downwards by 2 units we must subtract the constant 2 from h(x)
h(x)=4x^2-40x+84-2
h(x)=4x^2-40x+82
The answer is 7. To check, use a calculator or use multiplication to multiply 7 • 84, your answer will be 588. Again, 7 is the final answer
X 1 2 3
y 10 8 6
So find the slope m: (6-10)/(3-1) = -4/2 = -2
Going backwards when x = 0, y will be 12 (you can see this)
So
<span>Initial value: 12, rate of change: −2
</span>
