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nordsb [41]
2 years ago
14

The first three steps for completing the square to solve a quadratic equation are shown. What number goes in the boxes to comple

te the third step?

Mathematics
2 answers:
Korolek [52]2 years ago
7 0

9514 1404 393

Answer:

  C.  16

Step-by-step explanation:

The x-coefficient is -8. Half that is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

_____

It can help to keep in mind what the square of a binomial looks like:

  (x -a)² = x² -2ax +a²

The coefficient of x is -2a. The constant is the square of half that (-2a/2)² = a².

Blababa [14]2 years ago
4 0

Answer:

16

Step-by-step explanation:

The x-coefficient is -8. Half of -8 is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

You might be interested in
If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

<h2>Why?</h2>

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance\\Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0
3 years ago
Please help i have no idea what it means and the test is tomorrow.
Anarel [89]

Answer:

H. 2

Step-by-step explanation:

√(1 − cos² x) / sin x + √(1 − sin² x) / cos x

Use Pythagorean identity.

sin² x + cos² x = 1

So:

1 − cos² x = sin² x

and

1 − sin² x = cos² x

Substitute:

√(sin² x) / sin x + √(cos² x) / cos x

sin x / sin x + cos x / cos x

1 + 1

2

8 0
3 years ago
What is 8 divided by 4/5
pychu [463]
The answer is 10 hoped that helped
5 0
3 years ago
City
xxMikexx [17]

Answer:

The correct option is (B) 69.7%.

Step-by-step explanation:

The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.

The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city <em>x</em>.

The probability a positive response for program 1 from an individual from Houston is 69.7%.

Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.

Thus, the correct option is (B).

7 0
2 years ago
FIRST PERSON WHO ANSWERS THIS WILL BE BRAINLIEST
djverab [1.8K]

Answer:

2.- 100

Step-by-step explanation 1:

\frac{7}{25} + \frac{3}{4} = \frac{28}{100} + \frac{75}{100} = \frac{103}{100}

↑ As we can see, the only common multiple between 4 and 25 that is given to is 100.

Step-by-step explanation 2:

\frac{(7 * 4) + (3 * 25)}{4 * 25} = \frac{28 * 75}{100} = \frac{103}{100}

↑ Another way of knowing the answer is by using a fraction solving method. As we can see, the denominator is once again 100.

Hope it helped,

BiologiaMagister

3 0
3 years ago
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