Answer:
y = 3x + 2
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (-1, -1), (1, 5)
(-1, -1) = (x1, y1)
(1, 5) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
Simplify:
5 - (-1) = 5 + 1 = 6
1 - (-1) = 1 + 1 = 2
The slope is 3.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (1, 5)) into the equation and solve for b:
5 = 3(1) + b
5 = 3 + b
2 = b
The y-intercept is 2.
Now that we know the slope and the y-intercept, we can write the equation:
y = 3x + 2
Hey, there! For this question, we can just start by plugging in the known values. 
can be rewritten as 
.
Combine like terms: 
If you add x to 
, x will become 
, which means that x/2 + x = 3/2x.
--> 
If you rearrange this, then your answer will be option b. Hope this helps.
Answer:
A. rectangle, not a square.
Step-by-step explanation:
A right rectangular prism is a shape of a cube which is made up of 6 rectangular edges.
It has 4 vertical edges and 2 horizontal edges
The adjacent edges of the rectangular prism is at right angles
A plane intersects a right rectangular prism parallel to its base that is the parallel edges. The cross section formed by the plane would be the shape of the base as it is parallel to base and will intersect the the 4 vertical edges perpendicularly.
Thus, the shape of the cross section formed by the plane would be best described by a rectangle and not a square because the base is in the shape of a rectangle.
The figure representing the plane is shown below.
Answer:
Shop 1 = $260 + $20m
Shop 2 = $140 + $30m
Step-by-step explanation:
m = number of months payments are made
Total payment made = down payment + monthly payment
Shop 1 requires $260 down and a monthly payment of $20.
Shop 1 = $260 + $20m
= 260 + 20m
Shop 2 requires $140 down and a monthly payment of $30.
Shop 2 = $140 + $30m
= 140 + 30m
The equations that represent the payments plans are:
Shop 1 = $260 + $20m
Shop 2 = $140 + $30m
Answer:
Step-by-step explanation:
5x + 15 + 2x = 24 + 4x
7x + 15 = 24 + 4x
7x - 4x = 24 - 15
3x = 9
x = 9/3
x = 3 <====
