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nata0808 [166]
3 years ago
5

Solvex²= 12x-15 by completing the square. Which is the solution set of the equation?

Mathematics
2 answers:
loris [4]3 years ago
4 0

Answer

B

Step-by-step explanation:

natka813 [3]3 years ago
3 0

The solution to the equation by completing the square is (6 - √21, 6 + √21)

<h3>How to complete the square?</h3>

The equation is given as:

x²= 12x-15

Rewrite as:

x² -12x = -15

Take the coefficient of x

k = -12

Divide by 2

k/2 = -6

Square both sides

k/4 = 36

Add 36 to both sides of x² -12x = -15

x² -12x + 36 = -15 + 36

Evaluate the sum

x² -12x + 36 = 21

Express the equation as a perfect square

(x - 6)² = 21

Take the square root of both sides

x - 6 = ±√21

Add 6 to both sides

x = 6 ± √21

Split

x = (6 - √21, 6 + √21)

Hence, the solution to the equation by completing the square is (6 - √21, 6 + √21)

Read more about solution set at:

brainly.com/question/25275758

#SPJ2

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Mario's locker number is between 80 and 99. the sum of the digits is 13. the tens digits is 3 more than the ones digit. What is
kvv77 [185]
Ok, hmm
possible ones are
starting with 8 or 9
adds to 13
8+5=13
9+4=13
thepossible numbers are 85 and 94
tens is 3 more than ones digit
8-5=3 true
9-4=5, not what we looking for

aswer is 85
5 0
3 years ago
Read 2 more answers
A person burns 6.7 calories per minute while walking. How many calories will be burned if the person walks for 3 ​hours?
alexdok [17]

Answer:

1,206 calories

Step-by-step explanation:

Because 6.7x180 (3 hrs)= 1206

6 0
3 years ago
One lap around the school track is 5/8 of a mile Carin ran 3 1/2 laps how far did she run
bearhunter [10]

Given length of a lap = 5/8 mile.

Number of laps Carin ran = 3 1/2 laps.

3 1/2 can be read as 3 and a half. In improper fractions, it can be written as

(3*2+1)/2 = 7/2 laps.

In order to find the total distance covered in 3 1/2 or 7/2 laps, we need to multiply length of a lap by total number of laps ran.

Therefore, total distance covered = 7/2 × 5/8.

=\frac{7}{2}\times\frac{5}{8}

Multiplying across, we get

= \frac{7\times5}{2\times8}

=\frac{35}{16}

Let us convert 35/16 into mixed fractions.

On dividing 35 by 16, we get 2 quotient and 3 remainder.

So, the mixed fraction would be 2 3/16.

Therefore, she ran 2 3/16 miles in 3 1/2 laps.


4 0
3 years ago
How do the surface areas of similar prisms compare when dimensions are doubled?
zhuklara [117]

Answer:

The surface area of the larger prism is 4 times the surface area of the smaller one.

(which agrees with answer B in your list)

Step-by-step explanation:

Notice that the lateral surface area of prisms always consists of parallelograms, whose areas are given by the product base times height. = B x H

Therefore if the dimensions of the prism double, then the base and height of the parallelograms will double as well, making such individual ares of the lateral faces go from:

B x H  to -->  2 B x 2 H = 4 (B x H)

that is 4 times the original lateral face's area.

with the faces for the top and bottom bases of the prism, something similar happens, so we conclude that the surface area of the larger prism is 4 times the surface area of the smaller one.

6 0
3 years ago
Which of the answer choices shows represents the situation below?
deff fn [24]

Answer:

y = 85x + 7

Step-by-step explanation:

3 0
3 years ago
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