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qwelly [4]
3 years ago
11

Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

9514 1404 393

Answer:

  B. (x-2)^2=12

Step-by-step explanation:

The constant that completes the square is the square of half the coefficient of the x-term. That value is (-4/2)^2 = 4.

There is already a constant of 2 on the left side of the equal sign, so we need to add 2 to both sides to bring that constant value up to 4.

  x^2 -4x +2 = 10 . . . . . . . given

  x^2 -4x +2 +2 = 10 +2 . . . . complete the square (add 2 to both sides)

  (x -2)^2 = 12 . . . . . . . . . write as a square

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Triangle ABC has angles measuring 137°, 15°, and 28°. Classify the triangle by its angle measures.
Lemur [1.5K]

Answer:12

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3 0
3 years ago
the width of a rectangle is y feet long. the rectangle is 4 feet longer than it is wide l. what is arena of the rectangle?​
ahrayia [7]
Area= i^2 + 4i
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8 0
3 years ago
Given: Triangle ABC, mmBC=24 cm, line segment AL- < bisector
Furkat [3]

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

But angle B = 2 Angle A

x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

0. 8660 = x/24

Cross multiply

x = 24 × 0. 8660

x = 20. 78cm

We have the angle of A  in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

#SPJ1

6 0
1 year ago
How do I do this thanks
Aleks04 [339]
So you start by subtracting 3 from 35, which is 32. 32/8 = 4. So three years ago, Tim's son was 4 and Tim was 32. The percentage is about 13%
6 0
3 years ago
The sides of a triangle are 5, 12, and n. Write an inequality that expresses the interval of values that n may have.
Airida [17]
Since the sum of third side of a triangle is smaller than the sum of other two sides
So n<12+5
n<17
3 0
3 years ago
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