Answer:
Step-by-step explanation:
y - 2 = -4(x - 1)
y - 2 = -4x + 4
y = -4x + 6
Answer:
13 units
Step-by-step explanation:
Use the distance formula, d = 
, where (x2, y2) and (x1, y1) are two different points on the line.
Plug in the values:
d =
d = 
d = 
d = 
d = 
d = 13
This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25
(x + 3)(x + 3) = x^2 + 6x + 9 by the same method
(2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.
4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5
2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17
Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289
a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer
Keep in mind: The entire line segment (VX) is equal to 14.
Let's see how the line segment looks like first.
Line segment VX is 14 units long.
14
______________
V X
W is on the line segment somewhere, and VW is equal to 3.
3 ?
______________
V W X
We have to solve for the <em>?.</em> Let's put ? as x. So now we are solving for x.
We have to set up our equation like this:
x + 3 = 14
Since our unknown value plus 3 is equal to 14, we have to subtract 3 from 14 to get our answer.
14 - 3 = 11
3 11
______________
V W X
Answer:
2x + y = 4
Step-by-step explanation:
2x + y = 9 => y = -2x + 9
Parallel lines have the same slope so m = -2
Given (-1,6)
y = mx + b
6 = -2(-1) + b
6 = 2 + b
b = 4
so y = -2x + 4 or 2x + y = 4
