Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope of line S using line R (m)</u>

We can identify clearly that the slope of the line is
, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be
. Plug this into
:

<u>2) Determine the y-intercept of line S (b)</u>

Plug in the given point (-4,3) and solve for b

Subtract 1 from both sides to isolate b

Therefore, the y-intercept is 2. Plug this back into
:

I hope this helps!
First, set the equation in exponential form.
x=logbY to b^x=Y
x=log44. so x=x, b=10, Y=44
10^x=44
I know that 10^1=10, 10^2=100, and 10^1.5=31.6 so x should be between 1.5 and 2.
The answer is x=1.64.
Answer:
From what I can comprehend I believe the answer is <em>3.2x + -4</em>
Step-by-step explanation:
0.4(2x-9) = 0.8x - 9
0.8x - 9 - 0.6(4x+5)=
0.8x - 9 + 2.4x+5
0.8+2.4 = 3.2x
-9 + 5 = -4
3.2x + -4
Answer:
56.4 ft
Step-by-step explanation:
The tangent of the angle relates the opposite side (height above the window) to the adjacent side (distance between buildings) in the right triangle that models this geometry.
Tan = Opposite/Adjacent
tan(35°) = (height above window)/(distance between buildings)
height above window = (52 ft)tan(35°) ≈ 36.4 ft
Added to the window height of 20 ft, the height of the other building is ...
20 ft + 36.4 ft = 56.4 ft
<h2>
Greetings!</h2>
Answer:
x = 67.5
Step-by-step explanation:
Because AB and NP lines are parrallel, we can find out the scale factor by dividing size MA by MN.
This works because you find out what the MA size has to be multiplied to to get to MN, which will also work in reverse to find angle MB from MP.
71.5 - 22 = MA = 49.5
71.5 ÷ 49.5 = 
So to get to line MP length, line MB had to be multiplied by
to get 97.5
The reverse of this is dividing 97.5 by
:
97.5 ÷
= 67.5
So x = 67.5
<h2>Hope this helps!</h2>