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3 years ago

What is the slope of the line that goes through the points (-4,1) and (4,-5)?

Mathematics

2 answers:

LekaFEV [45]3 years ago

6 0

Answer:

-4/3

Step-by-step explanation:

1. The slope formula is in the form y2-y1/x2-x1

2. Use one set of points as (x1, y1), and the other as (x2, y2).

3. Plug the points into the corresponding equation variables

4. Solve: (-4 - 4)/(1 -(-5)) = -8/6

-8/2 = -4, 6/2 = 3

-8/6 = -4/3

Galina-37 [17]3 years ago

6 0

Answer:

-3/4

Step-by-step explanation:

Use the slope formula to find the slope of the line. Let (-4,1) be (x1,y1) and (4,-5) be (x2,y2).

So, the slope of the line that goes through the points (-4,1) and (4,-5) is .

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Find the number of terms and the degree of this polynomial. -9

Korvikt [17]

Answers:

Number of terms: 1
Degree: 9

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Explanation:

This is consider a monomial since we only have one term. Terms are separated by a plus sign, so something like 5x^2+10x has two terms.

The degree of a polynomial is the largest exponent when dealing with single variables. In the case of 9r^9, the largest exponent is 9, so the degree is 9. Going back to an example like 5x^2+10x, the largest exponent is 2 so this is the degree of this example.

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3 years ago

Which decimal number is equivalent to 4/5?<br> 0.4<br> 0.04<br> 0.8<br> 0.08

Aleksandr-060686 [28]

If you would like to know the decimal number which is equivalent to 4/5, you can do this using the following steps:

4/5 = 8/10 = 0.8

The correct result would be 0.8.

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3 years ago

alex buys a home for $276,400. his home is predicted to increase in value 3.5% each year. What is the predicted value of alex's

Katarina [22]

276400(0.035) = $9674 the equivalent value in dollar for every increase in the house then multiplied by 25. $9674*(25) = $241850 + the current value of Alex's home. $276400+ $241850 = $518250 that would be the value of Alex's home in 25 years. The percentage is (518250-276400)/ 276400 =0.875 *100 = 87.5 % increase in value. I hope this would help.

4 0

3 years ago

Read 2 more answers

The president of a computer company must decide whether to place the company's new laptop on the market now or wait another year

Elanso [62]

Answer:

The president should release the new laptop now

Step-by-step explanation:

The profit if the new laptop is released now and no competitive device enters the market = $120,409.00

The profit if the new laptop is released now and a competitive device enters the market = $29,698

The profit if the new laptop is released in a years time and no competitive device enters the market = $84,742.00

The loss if the new laptop is released in a years time and a competitive device enters the market = $59,396.00

The chance that a competitive device will enter the market = 22%

∴ The chance that a competitive device will not enter the market = 1 - 22% = 78%

The expected increase in profit the company can make, compared to next year, if the new laptop is released and no competitive device enters the market = ($120,409.00 - $84,742.00) × 78% = $27,820.26

The expected increase in profit the company can make, compared to next year, if the new laptop is released and a competitive device enters the market = ($29,698.00 - $59,396.00)×0.22 = ($6,533.56) loss

Therefore, to maximize the expected profit over the next year, the president should release the new laptop now to make an expected profit of $27,820.26 over the next year.

5 0

3 years ago

Find the value of each variable... Pick each that apply

ch4aika [34]

Answer:

Step-by-step explanation:

The first triangle right isosceles. The sides opposite the 45° angles are the same length.

x = 13

By the Pythagorean Theorem, y = 13√2

:::::

Second triangle is 30°-60°-90°. Remember that the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 30° has length 3, so the side opposite the 60° angle is 3√3 and the side opposite the 90° angle is 6.

x = 6

y = 3√3

:::::

The third figure has another 30°-60°-90° triangle. The side opposite the 30° angle is 17, so the side opposite the 60° angle is 17√3 and the side opposite the 90° angle is 2×17 = 34.

x = 17√3

The other triangle is right isosceles.

z = 34

y = 34√2

3 0

3 years ago