Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)
m = 
= - 
, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 4), then
4 = - 
+ c ⇒ c = 4 + = 
y = - x + ← equation of line
130 • .16 = 20.8 or 20 (4/5) or 104/5
Put the answer as 20.8 unless specified otherwise.
.16 is 16%
If point A is between B and C, then CA+AB = CB by the segment addition postulate. This is the idea of taking two smaller segments to "glue" them together to form a larger segment. Or you can think in reverse: take some larger segment and split it somewhere in between the endpoints (not necessarily the halfway point), this will produce two smaller segments.
For example: you have a ruler that is 12 inches. Take a saw and cut the ruler at the "2 inch" marker. You'll end up with two smaller pieces of plastic: one of which is 2 inches, the other 10 inches. The two smaller pieces can be taped together to reform the original 12 inch ruler.
Answer:
2 in
Step-by-step explanation:
Use the cube volume formula, V = s³, where s is the side length
Plug in 8 as V and solve for s:
V = s³
8 = s³
Take the cube root of both sides:
2 = s
So, the length of one side is 2 inches.
I'll assume the above equation is: 9 - 7x = 7 - 4(2x+3)
* do distributive multiplication
9 - 7x = 7 - 8x - 12
*move like terms
-7x + 8x = 7 - 12 - 9
* solve for x
x = 7 - 21
x = -14
To check, substitute x by its value -14
9 - 7x = 7 - 4(2x+3)
9 - 7(-14) = 7 -4[2(-14) + 3]
9 + 98 = 7 - 4(-28 +3)
107 = 7 - 4(-25)
107 = 7 + 100
107 = 107
