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melamori03 [73]
1 year ago
11

Which expreion are equivalent to

Mathematics
1 answer:
Makovka662 [10]1 year ago
8 0

The expression equivalent to the expression -90 - 60w is -30(3 + 2w),  (-9 - 6w)10 and  -20(4.5 + 3w)

We need to find the expressions that are equivalent to given expression

We solve the expression and check,

A) -30(3 + 2w)

-90 - 60w

Yes it is equivalent.

B) (-9 - 6w)10

-90 - 60w

Yes it is equivalent.

C) -3(30 - 20w)

-90 + 60w

No it is not equivalent.

D)(6 + 4w)15

90 + 60w

No it is not equivalent.

E) -20(4.5 + 3w)

-90 - 60w

Yes it is equivalent.

Therefore, The expression equivalent to the expression -90 - 60w is -30(3 + 2w),  (-9 - 6w)10 and  -20(4.5 + 3w)

To learn more about multiplication refer here

brainly.com/question/10873737

#SPJ4

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3 years ago
Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?
Rina8888 [55]

Answer:

The equation that represents circle C is (x+2)^2+(y-10)^2=169.

Step-by-step explanation:

A circle is the set of all points in the plane which maintains a fixed finite distance <em>r</em> from a fixed point <em>O = (a, b)</em>. Here <em>O</em> is called the center, and <em>r</em> is called the radius of that circle.

The standard equation for a circle with center (a, b) and radius <em>r</em> is

                                        (x-a)^2+(y-b)^2=r^2

We are told that the center of this circle is (-2, 10), so

                                        (x+2)^2+(y-10)^2=r^2

We are also told that the circle contains the point  (10, 5), so we will use that information to find the radius <em>r.</em>

<em />(10+2)^2+(5-10)^2=r^2\\\\r^2=\left(10+2\right)^2+\left(5-10\right)^2\\\\r^2=12^2+5^2\\\\r^2=144+25\\\\r^2=169\\\\r=\sqrt{169}=13<em />

Therefore, the equation that represents circle C is

(x+2)^2+(y-10)^2=13^2\\\\(x+2)^2+(y-10)^2=169

7 0
3 years ago
Help me help me please
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Well, we need to divide $36.25 by 12.5. This will give us the per gallon price. So 36.25/12.5=2.90.
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