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4 years ago

Find the Prime Factorization of -165

Mathematics

1 answer:

Ghella [55]4 years ago

6 0

Answer:

(-1)(11)(3)(5)

Step-by-step explanation:

First off: -165 separates into the factors (-1) and (165). Next, we divide 165 by 15, obtaining 15(11).

So far, we have (-1)(11)(15).

15 is still factorable. We get:

(-1)(11)(3)(5), which is the desired prime factorization of -165.

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Write an equation (in slope-intercept form) that is parallel to 4x + 5y = 10 and has the same y-intercept as -3x - 4y = 24.

mart [117]

Answer:

y = -4/5 x - 6

Step-by-step explanation:

First turn both standard form equations to slope-intercept form.

4x + 5y = 10 -3x - 4y = 24

-4x -4x +3x +3x

5 5 -4 -4

y = -4/5 x + 2. y = -3/4 x - 6

Now that you have each in slope-intercept form, we can begin the magic.

So we know that this line's y-intercept will be -6.

Not to mention since it's parallel, that means it will share the same slope as y = -4/5 x + 2, which the slope is -4/5. All together it will be

y = -4/5 x - 6. Now we can graph the line's to see if we we're right. (Look at graphs, attached above⤴⤴⤴) As you can see they are parallel.

Hope this helped :)

7 0

3 years ago

Oliver bought a scarf that costs 8 dollars and a watch that costs 9 dollars. At the counter he received a discount. If he paid o

Alex787 [66]

Answer: 4

Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.

7 0

3 years ago

Solve for X

satela [25.4K]

Answer:

3) 16

Step-by-step explanation:

these are alternate-interior angles which are congruent

10x-23 = 137

10x = 160

x = 16

4 0

3 years ago

Read 2 more answers

Grace ran 8 laps and walked 3 laps around the gym track. Grace ran twice as many laps as Tami ran. Then Tam walked twice as many

GrogVix [38]

Answer:

Grace

Step-by-step explanation:

Grace ran 11 since 8 + 3= 11. Tam ran 4 laps and walked 6 and 4 + 6 = 10. Grace did 11 laps while Tam did 10 laps.

6 0

3 years ago

Read 2 more answers

Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be us

scoray [572]

The measure of the missing side of the right triangle are as follows;

adjacent side = 5√2

hypotenuse = 10

<h3 /><h3>How to find the side of a right triangle?</h3>

A right angle triangle has one of its angles as 90 degrees.

Therefore,

using trigonometric ratios,

tan 45 = opposite / adjacent

tan 45 = 5√2 / a

adjacent side = 5√2 / 1

Therefore,

adjacent side = 5√2

sin 45 = opposite / hypotenuse

hypotenuse = 5√2 / √2 / 2

hypotenuse = 5√2 × 2 / √2

hypotenuse = 10

learn more on right triangle here: brainly.com/question/6322314

#SPJ1

5 0

2 years ago