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Doss [256]
3 years ago
12

Solve using completing the square x^2 – 8x + 16 = 25

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0

First we need to factor the left side. Since it is a perfect square (as is the process with completing the square, we know we can take half of the middle number along with x to be in the two parenthesis.

(x - 4)(x - 4) = 25

Now we simplify to show it as a square.

(x - 4)^2 = 25

Next we take the square root of both sides

x - 4 = +/- 5

Note that we have plus or minus 5. This is because either square would give us positive 25. Now we add 4 to both sides

x = 4 +/- 5

4 + 5 = 9

4 - 5 = -1

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7. Find the distance between the points (13, 8) and (-12, 6)
Alik [6]

9514 1404 393

Answer:

  √629 ≈ 25.08

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08

The distance between the points is about 25.08 units.

3 0
2 years ago
Fifteen students are going hiking on their spring break. They plan to travel in three vehicles—one seating 7, one seating 5, and
andriy [413]

Answer:

The students can group themselves in 360360 ways

Step-by-step explanation:

For this exercise we need to use the following equation:

\frac{n!}{n1!*n2!*...*nk!}

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell

In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

  \frac{15!}{7!*5!*3!}

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.

Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5  and 3 seating.

5 0
2 years ago
(8√2 - 5) (9√5 +6√10)<br> Simplify
salantis [7]

Answer:

42 (square root>) 10 + 51 (square root>) 5

Step-by-step explanation:

5 0
2 years ago
What is the square root of 67
Inessa [10]

Every positive number has two square roots.

The square roots of  67  are  8.185... (rounded) and  -8.185... (rounded) .

Both are irrational numbers, so they can't be completely written down
with digits.  No matter how many decimal places I write, it can never be
enough, because these decimals go on forever and never end.

3 0
3 years ago
Read 2 more answers
PLEASE HELP. I don't understand! I will give brainliest!
bezimeni [28]

Answer:

A is Y equally X

B is X equally 2

E is Y equally -5

6 0
3 years ago
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