Answer:
y=2x+5
Step-by-step explanation:
y=2x+4 means that the slope is m1=2
A parallel line shall have the same slope so
m2=m1=2
Therefore, the equation of the new line will be
y=2x+q
where q is the y-intercept, that is 5 because the line must pass in (0,5), so
q=5
and
y=2x+5
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The Answer is <u><em>7.88</em></u>
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1: You are looking to find the mps increase over a second
2: 45 m/s from 0 m/s in 10 secs that is 4.5 m/s per second
3: The acceleration is 4.5m/s
Answer:
a. 7.2
b. 6
Step-by-step explanation:
Since the side lengths of similar polygons are proportional to each other, therefore:
![\frac{b}{10} = \frac{9}{15} = \frac{a}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bb%7D%7B10%7D%20%3D%20%5Cfrac%7B9%7D%7B15%7D%20%3D%20%5Cfrac%7Ba%7D%7B12%7D%20)
Thus, let's find b using:
![\frac{b}{10} = \frac{9}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bb%7D%7B10%7D%20%3D%20%5Cfrac%7B9%7D%7B15%7D%20)
Cross multiply
![b*15 = 10*9](https://tex.z-dn.net/?f=%20b%2A15%20%3D%2010%2A9%20)
![15b = 90](https://tex.z-dn.net/?f=%2015b%20%3D%2090%20)
Divide both sides by 15
b = 6
Let's find a using:
![\frac{9}{15} = \frac{a}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B15%7D%20%3D%20%5Cfrac%7Ba%7D%7B12%7D%20)
Cross multiply
9*12 = 15*a
108 = 15a
Divide both sides by 15
a = 7.2
Answer:
x² - 16
Step-by-step explanation:
Given
(x - 4)(x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) - 4(x + 4) ← distribute both parenthesis
= x² + 4x - 4x - 16 ← collect like terms
= x² - 16