Answer:
one x-intercept.
Transformation: shift to the right 8 units.
Step-by-step explanation:
The parent function is 
To find the number of x-intercepts, we equate the function to zero.
There is only one x-intercept at t=0.
The transformed function is
This function is obtained shifting the parent function 8 units to the right.
The x-intercept will now be at t=8.
Hence the image function also has one x-intercept.
Answer:
17.7 cm
Step-by-step explanation:
One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th
To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem
Hypotenuse ² = Opposite ² + Adjacent ²
Hypotenuse = √Opposite ² + Adjacent ²
Opposite = 12 cm
Adjacent = 13 cm
Hence,
Hypotenuse = √12² + 13²
= √144 + 169
= 17.691806013 cm
Approximately = 17.7 cm
Therefore, the measure of the Hypotenuse is 17.7 cm
3 / 60 = 180
24:180
6:45
3:15
1:5
Answer:
Step-by-step explanation:
In parallelogram, diagonals bisect each other
DP = IP
7x - 8 = 3x
7x = 3x + 8
7x - 3x = 8
4x = 8
x = 8/4
x = 2
NP = YP
3y = 7x - 2
3y = 7*2 - 2
3y = 14 - 2
3y = 12
y = 12/3
y = 4
The price of 1 gallon is $4.15. You figure this out by dividing 33.20 by 8.
33.20/8 = 4.15
