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Answer:
y = 5x + 10
Step-by-step explanation:
From the information given, we can derive the points (-2, 0) and (0, 10). Find the slope using the slope formula:
Plug in the points:
Simplify:
m = 5.
The equation in slope-intercept form is y = mx + b. We were already given the b value, or y-intercept as y = 10. Therefore:
y = 5x + 10 is the equation written in slope-intercept form.
Answer:
D. -14
Step-by-step explanation:
<span><u><em>The correct answer is:</em></u>
altitude.
<u><em>Explanation</em></u><span><u><em>: </em></u>
An altitude of a triangle always extends from a vertex to the opposite base (side) of the triangle, and it is always at a right angle. It is also known as the "height".</span></span>
Answer:
A. Arithmetic; d = 1.5
Step-by-step explanation:
-4, -2.5, -1, 0.5, 2
Looking at the sequence, we can see that the numbers increase. This means our common ration or difference will be positive.
Let's look at common ratios first.
To find the common ratio, divide one term from the term after it.
r = a₂ ÷ a₁
r = -2.5 / -4
Divide.
r = 0.625
To see if this is the common ratio, we want to test this with the other numbers of the sequence.
r = a₃ ÷ a₂
r = -1 / -2.5
r = 0.4
This is not consistent; therefore our sequence is not geometric.
Let's look at common differences next.
To find the common ratio, subtract one term from the term after it.
r = a₂ - a₁
r = -2.5 - (-4)
Simplify.
r = -2.5 + 4
Add.
r = 1.5
To see if this is the common difference, we want to test this with the other numbers of the sequence.
r = a₃ - a₂
r = -1 - (-2.5)
Simplify.
r = -1 + 2.5
r = 1.5
This is consistent; therefore we have found our common difference of this arithmetic sequence.
A. Arithmetic; d = 1.5
Hope this helps!