Answer:
Yes, the given table represent an exponential function.
Step-by-step explanation:
Given table is :
x y
1 4
2 16
3 64
4 256
Now we need to identify if the given table represent an exponential function or not. To find that we need to check if we can write the numbers in y-column in form of exponential function 
.
We see that y-values are basically powers of 4 so we can write the related function as 
.
Which is clearly in form of .
Hence yes, the given table represent an exponential function.
Answer:
h = 15
Step-by-step explanation:
Use Pythagorean Theorem to solve for h.
a² + b² = c²
8² + h² = 17²
64 + h² = 289
h² = 225
h = 15
So I have the formula for the reflection over the x-axis is from (x,y) to (x,-y), and the reflection for the y-axis is (-x,y). Next, I have the original for A(2,-2), B(2,-6), and (9,-6) which is reflection over x-axis which is A(2,2), B(2,6), and C(9,6). Then, I have A(-2,-2), B(-2,-6), and C(-9,-6) for the reflection over the y-axis. Hope it help!
Step-by-step explanation:
Fraction of work done by Gardner in 1 hr = 1 / 5
Fraction of work done by Gardner and helper in 1 hr = 1 / 4
Fraction of work done by helper in 1 hr
= 1 / 4 - 1 / 5
= 1 / 20
<u>Time required by helper to complete work</u> :
= <u>20 hours</u>
Answer:
D
Step-by-step explanation:
The diagram is composed of one large right triangle and inside it it's divided into 2 small right triangles. Since these triangles all have the same shape but not the same size, they are similar triangles. Using similar triangles, create a proportion of side lengths. A proportion is an equation with equal ratios from the large triangle to a small. Notice the large triangle has a hypotenuse of 6+7 = 13 and a leg of x. The small triangle has a hypotenuse of x and a leg of 7.
To solve for x, cross multiply the numerator with the denominator.
