Answer:
Step-by-step explanation:
To find an equation of the sphere with center (4, −12, 8) and radius 10

intersection with xy-plane
Put z=0


(A circle with centre at (4,-12) and radius 6)
intersection with xz-plane
Put y =0


Sum of squares cannot be positive, so DNE
intersection with yz-plane
Put x=0


A circle in YZ plane with centre at y =-12 and z =8 and radius square root of 84
The scale factor is 0.25, not 4 in this case. You can determine this by looking at the comparison of the triangles. The first triangle is 4.4 and the second one is 1.1, so the scale factor is determined by looking at what is happening to the first one to result in the second.
0.25 is 1/4. The second hypotenuse is 1/4 the hypotenuse of the first one.
Answer:
I believe it is 40% since there are 4 marbles within the bag!
Step-by-step explanation:
Answer:
-48x^2 -666x+84
Step-by-step explanation:
Exponet is ^2.
Multiply is •
Use Distributed Property. Multiply the second parathesis by each term from the first parathesis.
Any expression multiplied by 1 remains the same. Distribute 41 through the parathesis. 41(2-7x-9x).
Distribute 3x through the parathesis 3x • (2-7x-9x).
You will have these numbers left: (Slide 2)
Add the numbers, 2 and 82 to get 84. Add -7x -9x + -287x -369x + 6x to get -666x. Add -21x^2 - 27x^2 to get 48x^2.
Use the communitative property to reorder the terms. And then your answer is -48x^2 -666x+84.
Answer:
y=2
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

Since the slop is 0, this is a horizontal line of the form y=b. B is the y-intercept of the points on the line. Notice that both are 2? y=2