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3 years ago

8/9 Divided by 6/9 = ? A. 17/54 B. 16/27 C. 4/3 D. 24/5

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

4/3

Step-by-step explanation:

$\frac{8}{9} \div \frac{6}{9} \\ \\ \implies \: \frac{8}{9} \times \frac{9}{6} \\ \\ \implies \: \frac{8}{1} \times \frac{1}{6} \\ \\ \implies \: {\boxed {\purple{\frac{4}{3} }}}$

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3 years ago

Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−1

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Answer:

$\huge\boxed{y=-\frac{1}{7}x+ 10}$

Step-by-step explanation:

In order to find the equation of this line, we need to note two things.

A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
B) We can substitute a point inside an incomplete equation to try and find a missing value.

So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.

<u>Reciprocal of 7:</u> $\frac{1}{7}$
<u>Opposite of </u> $\frac{1}{7}$ : $-\frac{1}{7}$

So the slope of this line will be $-\frac{1}{7}$ . The y-intercept will change, and we can substitute what we know into the equation $y=mx+b$ .

$y = -\frac{1}{7}x+b$

Now, we can substitute a point on the graph (14, 8) into this equation to find b.

$8 = -\frac{1}{7} \cdot 14 + b$
$8 = -\frac{14}{7} + b$
$8 = -2 + b$
$b = 10$

Now that we know the y-intercept, we can finish off our equation by plugging that in.

$y = -\frac{1}{7}x + 10$

Hope this helped!

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2 years ago

Read 2 more answers

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FromTheMoon [43]

Ok so I’m thinking that s = 93 because first I multiply first sides of the equation by -4, which was s-61=32. Then I moved the constant to the right hand side and change its sign which will be s=32+61. After I did all of that I added the numbers together and got 93..... therefore s=93

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2 years ago