Answer:
y = 2x + 8
Step-by-step explanation:
Find the slope of a line between (-8,-8) and (-9,-10) using m = 
, which is the change in y over the change in x.
Substitute in the values of x and y into the equation to find slope.
Simplify.
Simplify the numerator.
Multiply -1 by -8
Add -10 and 8
Simplify the denominator.
Multiply -1 by -8
Add -9 and 8.
Divide -2 by -1.
Using the point slope form 
plug in m = 2, 
Solve for y.
Multiply -1 by -8
y
+
8
=
(
2
)
(
x
−
(
−
8
)
)
Simplify (
2
)
(
x
−
(
−
8
)
)
.
Multiply −
1 by −
8
y+8
=
2
(
x
+
8
)
Apply the distributive property.
y
+
8
=
2
x
+
2
⋅
8
Multiply 2 by 8
.
y
+
8
=
2x
+
16
Move all terms not containing y to the right side of the equation.
Subtract 8 from both sides of the equation.
y
=
2
x
+
16
−
8
Subtract 8 from 16
.
y
=
2
x
+
8
Answer:
15
Step-by-step explanation:
We are told in the question that:
Mr Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.
Step 1
We add up the total amount of sugar he would need
2 1/2 + 1 1/4
(2 + 1) + (1/2 + 1/4)
= 3 + (2 + 1/4)
= 3 3/4 cups of sugar.
Step 2
How many 1/4 cup scoops of sugar does he need?
This is calculated as:
3 3/4 cups of sugar ÷ 1/4
= 15/4 ÷ 1/4
= 15/4 × 4
= 15
Therefore, he would be needing 15 , 1/4 cup scoop of sugar
Just cross multiply basically divide
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:
For this formula, we need the radius of the sphere. Divide the diameter by 2:
The radius is 9 inches. Plug this into the equation:
Simplify the equation:
Round the result to the nearest whole number:
→ 
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
