Answer:
y = -2x+4
y = (3/2)x -3
The point of intersection is (2, 0), or x=2 and y=0.
Step-by-step explanation:
The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...
y = slope · x + (y-intercept)
y = -2x + 4
Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...
y = (3/2)x -3
The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.
Answer:
and 
Step-by-step explanation:
First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":
(1)
Then, we are told "he sum of the two numbers is 18":
(2)
At this point we have our system of equations and now we are able to find the values of
and
.
So, let's begin by isolating
from (2):
(3)
Substituting (3) in (1):
(4)
Finding
:
(5) This is the value of 
Substituting (5) in (1):
(6)
Finding
:
(7)
(8) This is the value of 
Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):

Multiply both sides by 1.6:

This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:

The length of side AC, the hypotenuse, is 4 inches.
$72.31 is the total amount AFTER ADDING TWO DEPOSITS
So, if we want to know the amount before deposits, we just need to take the total of previous two deposits
The expressions that show your balance would be
$72.31 – $17.92 – $15.33; $39.06
The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
- A. 6x – 30 = 54
- B. 6x = 84
- D. x = 14
Given the expression 6(x-5) = 54
Expand the expression in parenthesis using the distributive law;
6x - 6(5) = 54
6x - 30 = 54
Add 30 to both sides
6x - 30 + 30 = 54 + 30
6x = 84
Divide both sides by 6
6x/6 = 84/6
x = 14
Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
- A. 6x – 30 = 54
- B. 6x = 84
- D. x = 14
Learn more on equations here; brainly.com/question/2972832