3 years ago

Which are true about the area of a circle? Check all that apply

1 answer:

7 0

Answer:

The units are always squared. The area can be found when given the diameter by first finding the radius. Circumference can be used to find area.

Step-by-step explanation:

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3 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

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Answer:

See explanation

Step-by-step explanation:

1. Factor the function $f(x)=-2x^2+16x-30:$

$f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).$

2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.

3. Find the vertex:

$x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.$

Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.

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3 years ago