Find the radius of a circle with an area of 1,124 sq feet.

What number must be added to the expression below to complete the square? x^2+x. a.1/4 b.1/2 c.2 d.1

torisob [31]

Option a. 1/4 is the right answer

Step-by-step explanation:

Given expression is:

$x^2+x$

Here

we know that

a = x

In order to find the number which should be added

comparing with the formula

$(a+b)^2 = a^2+2ab+b^2$

$2ab = x\\2.x.b = x\\b=\frac{x}{2x}\\b = \frac{1}{2}$

So, we will add the square of 1/2 which is 1/4

Hence,

Option a. 1/4 is the right answer

Keywords: Expressions, polynomials

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3 0

3 years ago

Give 1 pair of Vertical and 1 pair of Supplementary angles

mojhsa [17]

Solution:

Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.

These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:

Notice that together they make a straight angle.

Hence,

From the image

The following pairs form vertical angles

$\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}$

Hence,

One pair of the vertical angles is ∠1 and ∠3

Part B:

Two angles are said to be supplementary when they ad together to give 180°

Hence,

From the image,

The following pairs are supplementary angles

$\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}$

Hence,

One pair of supplementary angles is ∠5 and ∠6

8 0

9 months ago

What is the value of x? Enter your answer in the box.

yan [13]

Answer:

Did you find the answer?

Step-by-step explanation:

3 0

2 years ago

A 0.143-Henry Inductor is connected in series with a variable resistor to a 208-volt 400-cycle source. For what value of capacit