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3 years ago

Please help me with this question, image attached

Mathematics

1 answer:

Goryan [66]3 years ago

8 0

Answer:

$W=(x-6)\ m$

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

we have

$A=(x^{2} -11x+30)\ m^2$

$L=(x-5)\ m$

substitute the given values in the formula of area

$(x^{2} -11x+30)=(x-5)W$

Remember that

$x^{2} -11x+30=(x-5)(x-6)$ ----> by completing the square

substitute

$(x-5)(x-6)=(x-5)W$

Simplify

$W=(x-6)\ m$

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Write the equation of the circle with center (3, 2) and (−6, −4) a point on the circle.

yulyashka [42]

The equation for a circle is as followed:

$(x-h)^2+(y-k)^2=r^2$

where the center of the circle is at (h,k) and the radius of the circle is r.

We are given (h,k) and need to find the radius. To do so, we can use the distance formula to find the distance from the center to the point on the circle:

$d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Plug in the two points:

$d= \sqrt{(3-(-6))^2+(2-(-4))^2}$

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If the distance from the center to the edge of the circle is the square root of 117, then r^2 = 117.

The answer is:

$(x-3)^2+(y-2)^2=117$

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3 years ago

AC=3x+3, AB=-1+2x, and BC=11 find x

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Answer:

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Step-by-step explanation:

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2 years ago

A cashier checks the price of a dining room table that is marked $369, because it is usually rings up to, $410. What percentage

lara31 [8.8K]

Answer:

10% discount

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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