Answer:
(0, 6)
explanation:
- original coordinates of C: (5, -6)
if reflected over x-axis, then use the formula: (x,y) → (x, -y)
then if translated -5 horizontally, there will be change in x axis
- new coordinates: (5-5, 6) → (0, 6)
Answer:
y = 1/2x +6
Step-by-step explanation:
We have a point and a slope. Therefore we can use the point slope form to create a line
y-y1 = m(x-x1)
y-5 = 1/2(x--2)
y-5 = 1/2(x+2)
Distribute the 1/2
y-5 = 1/2x +1
Add 5 to each side
y-5+5 = 1/2x +1+5
y = 1/2x +6
This is in slope intercept form
The equation 
in standard form looks like 
.
Given equation of sphere be .
We are required to express the given equation in the standard form of the equation of sphere.
Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like 
.
The given equation is .
We have to break 22 which is in right side into various parts according to the left side of the equation.
Hence the equation in standard form looks like .
Learn more about equations at brainly.com/question/2972832
#SPJ4
Answer:
Step-by-step explanation:
when x = 5
x² + 8
= (5)² + 8
= 25 + 8
= 33
Rules of exponents come in hand here.
Multiplication rule: a^m x a^n = a^ m+n
Division rule: a^m / a^n = a^m-n
Negative exponent: a^-m = 1/a^m; 1a^-m =a^m
So it would be (-3)^7+5 / (-3)^-2; (-3)^12 / (-3)^-2; (-3)^12 x (-3)^2; (-3)^14
The answer is (-3)^14. If you multiply it out it is 4,782,969.
