1) 7^3 x 7^4 = 7^(3+4) = 7^7
2) (-6)^12 x (-6)^5 x (-6)^2 = (-6)^(12+5+2) = (-6)^19
3) 2^2 x 2^7 x 2^ 0 = 2^(2+7+0) = 2^9
Point t slope form:
y + y value = m (x + x value) where m is the gradient
Parallel line must have the same gradient as the two lines never meet, so the gradient must be 4. This eliminates option B and D.
Remember that point-slope form is still an equation, so the values of both sides must be equal. So let's substitute the given coordinates.
Option A:
y-6=4(x+2)
-6-6 (-12) does not equal to 4(-2+2) (0)
Option C:
y+6=4(-2+2)
-6+6 (0) = 4(-2+2) (0)
Therefore, option C is your answer.
Answer:
Hi,
Step-by-step explanation:
Using the pythagorean theorem , let's calculate the apothem of a side:
a²=26²-10²=57=24²
Area of a side: 24*10*2/2=240 (ft²)
Lateral area=240*4=960(ft²)
Area of the base: 20²=400 (ft²)
Total area=1360(ft²)
Answer:
12 cm³
Step-by-step explanation:
Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.
The volume of a sphere is denoted by: , where r is the radius.
The volume of a cylinder is denoted by: , where r is the radius and h is the height. Plug in 2r for h and 18 for V:
Now plug in 9 for πr³ in the volume formula for the sphere:
The volume of the sphere is 12 cm³.