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3 years ago

What is the y-intercept -x+5y=45

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

3 0

To find the y-intercept, we can convert this to slope-intercept form, or replace the value of x with 0 and solve for y.

We'll do both first.

-x + 5y = 45

5y = 45

Divide both sides by 5.

y = 9

Now let's convert it to slope-intercept.

-x + 5y = 45

Add x to both sides.

5y = 45 + x

Divide both sides by 5.

y = 1/5x + 9

y = 9

<h3><u>The y-intercept of our line is 9.</u></h3>

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5. Find the sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4

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Answer:

The sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4 is 2555.

Step-by-step explanation:

Given:

a = 5

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The sum of first 35 terms of the arithmetic sequence = ?

Solution:

Step 1 : finding the 35th term

$a_n = a_1 +(n-1)d$

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Step 2: Finding the sum of first 35 terms

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Substituting the values

$S_n = \frac{35(5+141)}{2}$

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4 years ago

a bathtub mat is in the shape of a semicircle. the straight side of the mat is 24 in. What is the perimeter of the mat in terms

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