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3 years ago

there is a line that includes the point (1,5) and has a slope of 15. what is its equation in slope-intercept form?

Mathematics

1 answer:

olchik [2.2K]3 years ago

7 0

Answer:

y = 15x - 10

Step-by-step explanation:

slope is given: 15

(x, y) is given: (1, 5)

plug values into y = mx + b:

5 = (15)(1) + b

solve for b:

b + 15 = 5

b = -10

rewrite the equation:

y = 15x - 10

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3 years ago

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What is the area of a regular octagon with a side length of 6 mm and an apothem length of 7.243 mm? Round your answer to the nea

Harlamova29_29 [7]

OCTA=8, an octagon has 8 sides, thus if one side is 6mm, then all sides, namely the perimeter, is 6+6+6+6+6+6+6+6, or 48.

now, we know what the apothem is.

$\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{2}ap~~
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a=apothem\\
p=perimeter\\
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p=48\\
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3 years ago

Rachel tutors English. for each hour that she tutors, she earns 50 dollars. Let E be her earnings (in dollars) after tutoring fo

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Answer:

a. E = 50 H b. 950 dollars

Step-by-step explanation:

a. Since Rachel tutors English for 50 dollars for each hours, her rate is 50 dollar per hour. If she tutors for time, H hours, Her earning E = rate × time = 50 × H

E = 50H.

b. If Rachel's earnings after tutoring for 19 hours is gotten by substituting H = 19 into the equation for the earnings, E.

So, E = 50H

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E = 950 dollars.

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3 years ago

Jared has 12 more comic books than Zoe. If they have 28 comic books

ZanzabumX [31]

Answer:

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Step-by-step explanation:

Let us first set up a variable, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.

Given that Zoe and Jared have a total of 28 comic books, let us write an equation and solve for x:

$x+x+12=28\\2x+12=28$

Now that we have a simplified version of the equation, let us solve for x by isolating the variable on the left side:

$2x=28-12\\2x=16\\x=8$

We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us add 12 to x:

$x+12=\\8+12=\\20\\$

Therefore, Jared has 20 comic books.

I hope this helps! Please let me know if you have any further questions :)

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3 years ago

there is a line that includes the point (1,5) and has a slope of 15. what is its equation in slope-intercept form?​

there is a line that includes the point (1,5) and has a slope of 15. what is its equation in slope-intercept form?