Answer:
y = 3x - 14
Step-by-step explanation:
If a line is parallel to another, it will have the same slope
So, the line's slope will be 3
Plug in the given point and the slope into y = mx + b, and solve for b
y = mx + b
-2 = 3(4) + b
-2 = 12 + b
-14 = b
Plug in the slope and b into y = mx + b
y = 3x - 14
So, the equation is y = 3x - 14
Answer:
Number of stickers Sarah had = 28
Number of stickers she put on her binder = x.
Number of stickers left with her = 28 - x
Number of stickers Haylee had = 40
Number of stickers she put on her locker = 3x
Number of stickers left with her = 40 - 3x
Both Sarah and Haylee had the same number of stickers left.
28 - x = 40 - 3x
=> 3x - x = 40 - 28
=> 2x = 12
=> x = = 6
Step-by-step explanation:
Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V = 
area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h = 
= 12
Area of square base = 10² = 100, hence
V = × 100 × 12 = 4 × 100 = 400
Answer:
(x+4)(x+8)
Step-by-step explanation:
Factor x²+12x+32 using the AC method.
