Answer:
<h2>y = 6</h2>
Step-by-step explanation:
The formula of a slope:
We have the slope m = 1 and the points (-4, y) and (-2, 8). Substitute:
<em>multiply both sides by 2</em>
<em>subtract 8 from both sides</em>
<em>change the signs</em>
The amount of books Matt had at the beginning (5) is a constant that does not change, thus nothing will be multiplied by that number. This eliminates options A and C, which both demonstrate 5 as being multiplied by the amount, x, of weeks.
As for the other two equations, which one makes sense for this problem, which models an increase of books over time? The equation with addition.
Answer:
<span>D. y = 5 + x
This problem shows the amount of library books Matt will have after any random amount of weeks he checked out one book, combined with the 5 he had before starting this pattern.</span>
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x2−2x−8=0
Step 2: Factor left side of equation.
(x+2)(x−4)=0
Step 3: Set factors equal to 0.
x+2=0 or x−4=0
x=−2 or x=4
The solutions are basically the points on the graph that the line passes through. The best way to pick them is to use the whole numbers that are on the corners of the little boxes instead of the middle.
(4, -5)
(3, -3)
(1, 1)
(0, 3)
(-1, 5)
and so on.
Answer:
a = <u>76°</u>
b = <u>124°</u>
Step-by-step explanation:
Since the lines are parallel, we can prove that the smaller triangle's missing angle (shares a line with ∠b) is 56°.
180-56=124°
∠b=124°
Now to find Angle A:
180-56-48=
124-48=
76°
∠a=76°
