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3 years ago

What number would you add to both sides of x^2+7x=4 to complete the square?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

3 0

Answer:

49/4

Step-by-step explanation:

x^2+7x=4

Take the coefficient of x

Divide by 2

7/2

Then square it

(7/2) ^2 = 49/4

Add this to both sides of the equation to complete the square

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Anvisha [2.4K]

Answer:

$^\frown_{AB}=11.16m$

Step-by-step explanation:

The given circle has radius 8m and a central angle of $80\degree$ .

We want to find the length of arc AB.

Recall that the length of an arc is given by:

$l=\frac{\theta}{360\degree}\times 2\pi r$

where $\theta=80\degree$ is the central angle and $r=8m$ is the radius.

$^\frown_{AB}=\frac{80}{360\degree}\times 2*3.14*8$

This simplifies to:

$^\frown_{AB}=11.16m$

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