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4 years ago

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What are the zeros of this quadratic function? f(x) = (x − 7)(x + 8) A. x = 7 and x = -8 B. x = 0 and x = -8 C. x = 0 and x = 7

D. x = -7 and x = 8

1 answer:

kkurt [141]4 years ago

3 0

Answer:

A

Step-by-step explanation:

If you take 7-7 you get 0. if you take -8 + 8 you get 0.

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In △ABC acute angles are in the ratio 5:1, i.e. ∠BAC:∠ABC = 5:1. If CH is an altitude and CL is an angle bisector, find m∠HCL.

tekilochka [14]

If $m\angle BAC:m\angle ABC=5:1,$ then $m\angla BAC=(5x)^{\circ},\ m\angle ABC=x^{\circ}.$

The sum of the measures of the interior angles of the triangle is always 180°, then

$m\angle ACB=180^{\circ}-x^{\circ}-(5x)^{\circ}=180^{\circ}-(6x)^{\circ}.$

Since CL is bisector, then

$m\angle BCL=m\angle ACL=\dfrac{180^{\circ}-(6x)^{\circ}}{2}=90^{\circ}-(3x)^{\circ}.$

Consider right triangle ACH. In this triangle

$m\angle ACH=180^{\circ}-90^{\circ}-(5x)^{\circ}=90^{\circ}-(5x)^{\circ}.$

Now angle HCL has measure

$m\angle HCL=m\angle ACL-m\angle ACH=90^{\circ}-(3x)^{\circ}-(90^{\circ}-(5x)^{\circ})=(2x)^{\circ}=2m\angle ABC.$

Answer: $m\angle HCL=2m\angle ABC.$

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Suppose a game uses a spinner with five equal sections numbered 1–5 to determine the value of tokens given to the player spinnin

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Answer

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Alona [7]

The expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose the width of the rectangle is w and the length of the rectangle is l

Then, the area of rectangle(A) can be given as:

A = lw

divide by l on both the sides:

A/l = lw/l

A/l = w

or

w = A/l

Thus, the expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

Learn more about the rectangle here:

brainly.com/question/15019502

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