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3 years ago

Multiply and simplify: -3ab^3 • (-4a^4b^5)

Mathematics

1 answer:

grandymaker [24]3 years ago

4 0

$-3ab^3 * (-4a^4b^5)=\\(-3)(-4)(a^{1+4})(b^{3+5})=\\12a^5b^{8}$

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Step-by-step explanation:

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3 years ago

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

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

Here, $(h,k)=(5,-4)$

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Using distance formula for the points (5, -4) and (-3, 2), we get

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Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

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4 years ago

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