Write 360 as a product of prime factors.Give your answer in index form.

Mathematics

2 answers:

Anna11 [10]2 years ago

5 0

Answer:

2³ × 3² × 5

Step-by-step explanation:

360 = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5

WINSTONCH [101]2 years ago

3 0

The answer to the question of what I did do not mean that to me I was just saying

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Include work pleaseeeee

Angelina_Jolie [31]

Okay so to represent juice we are going to use X, and to represent water we are going to use Y.

We also know that the first two starting equations are:

6x + y = 135

4x + 2y = 110

We can re-arrange the first equation so that it equals y (for now), so it is going to end up looking like this:

y = -6x +135

Now you can take that equation and plug into either one of the starting two equations. I chose the second equation. We just substitute what y equals in for y in the equation, so we have:

4x + 2(135 - 6x) = 110

Now solve

4x + 270 -12x = 110

-8x + 270 = 110

Subtract 270 from both sides

-8x = -160

Now divide by -8 on both sides

x = 20

We can now confirm that juice costs $20

Now lets plug that into the equation where we solved for y, to get the actual value of y.

y = 135 - 6(20)

y = 135 - 120

y = 15

The price of water costs $15

From this we can conclude that the cost of juice is $20 and the price of water is $15

5 0

3 years ago

Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5

nekit [7.7K]

Answer:

use the slope equation (y2-y1) / (x2 -x1). plug in values and solve

(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)

-8 / 12 (simplify)

m = -2/3

then, plug in one of the points and the slope into the slope-point equation.

(y - y1) = m (x - x1) (the point-slope form)

y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)

y - 7 = -2/3x - 2 (add 7 to both sides)

y = 2/3x +5 (the answer)

Step-by-step explanation:

I hope this helps :))

4 0

3 years ago

What goes in the question marks?

IgorC [24]

By using the properties of parallel lines, it can be inferred that -

Corrosponding angle goes in the place of first question mark and substitution property of equality goes in the place of second question mark.

What are parallel lines?

Two lines are said to be parallel if on extending them indefinitely, they will never intersect

Transversal is a line that intersects two or more parallel lines

For the first question mark

$\angle ASR \cong \angle AVU$ [Corrosponding angle]