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3 years ago

What is an equation of the line that passes through the points (-4,1) and (4,4)?

Mathematics

1 answer:

Ray Of Light [21]3 years ago

8 0

Answer:

y = $\frac{3}{8} x + \frac{5}{2}$

Step-by-step explanation:

☆Remember: $m = \frac{y_2 - y_1}{x_2 - x_1}$

☆Remember: Slope-intercept form -> y = mx + b

☆Now. We first need to find the slope.

$m = \frac{4 - 1}{4 - (- 4)} = \frac{3}{8}$

☆Now the y-intercept.

$y = mx + b \\ \\ 4 = \frac{3}{8} (4) + b \\ \\ 4 = \frac{3}{2} + b \\ \frac{ - \frac{ 3}{ 2} = - \frac{ 3}{ 2} \: \: \: \: \: \: \: \: \: \: }{ \frac{5}{2} = b }$

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6b^3 (2a+7b), how to solve it?

slamgirl [31]

6b^3 (2a+7b)


(6b^3)(2a+7b)


=(6b^3)(2a)+(6b^3)(7b)


=12ab^3+42b^4]

Answer: 
12ab^3+42b^4

6 0

3 years ago

A triangle has side lengths measuring 2x 2 ft, x 3 ft, and n ft. which expression represents the possible values of n, in feet?

swat32

The expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle whose side lengths measures are (2x+2) ft, (x+3) ft, and n ft.

If we take the first two sides are (2x+2) ft, (x+3) ft, and third is n ft.

By the triangle property, that sum of the two sides is always greater than the third side.

2x+2+x+3 > n

3x+5 > n .....(1)

Now take first two sides as n ft, (x+3) ft, and third side (2x+2) ft

n+x+3 > 2x+2

n > x-1 .....(2)

From the inequality (1) and (2), we get:

x – 1 < n < 3x + 5

Thus, the expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.

Learn more about the triangle here:

brainly.com/question/25813512

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2 years ago

The velocity of sound in air is given by the equation v= 20 273+t here is the velocity in meters per second and is the temperatu

Digiron [165]

I'm spamming my own answer.

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3 years ago

Round 76070.7376413 to 2 decimal places

lakkis [162]

<h3>Answer:</h3><h2>76,070.74</h2><h3>Step-by-step explanation:</h3>

When you round decimals, your looking at the place value, then your looking at the place value next to it.

If you see a number that is 0 - 4 behind the place value your rounding to, you do nothing to the place value.

If you see a number that is 5 - 9 behind the place value your rounding to, you add one to the place value.

<h3>Example 1:</h3>

Round the Number 71.25 to the Tenths place.

When we go to the place value, Tenths, we go behind the Tenths place value:

71.25

2 is the Tenths place value, 5 is the place value behind the Tenths place value.

Since 5 is able to be rounded up, you add one to the tenths place.

It should be rounded to 71.3. There cannot be numbers where you've rounded, just zeroes.

<h3>Example 2:</h3>

Round the Number 3,345.8493 to the Thousands place.

3 is the Thousands place, 3 is the place value behind the Thousands place value.

3 is not in between 5 - 9. So, the rounded answer is 3,000.

When numbers behind the Place Value cannot round the Thousands place value, it turns into zeroes too.

Answer:

Round 76070.7376413 to the Hundredths place value.

The 3 is the Hundredths place value, the 7 is the place value behind the Hundredths place value.

7 qualifies for the numbers 5 - 9.

Therefore, you add 1 to the hundredths place value.

Your final answer is (76,070.74)

Best of Luck to you.

If you have any questions, feel free to comment below.

Merry Christmas!

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3 years ago

Sarah bought 6 2/3 yards of material. She used 3/4 of the material to make a costume for the school play. How much material did

Lelechka [254]

You’re full of cap don’t cap next time you’re capping the answer is 5/3

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3 years ago