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nlexa [21]
3 years ago
8

Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?

Mathematics
1 answer:
Ann [662]3 years ago
7 0
If you would like to solve the equation x^2 + 12 * x = -11, you can calculate this using the following steps:

x^2 + 12 * x = -11
<span>x^2 + 12 * x + 11 = 0
</span>(x + 1) * (x + 11) = 0
1. x = - 1
2. x = - 11

The correct result would be x = - 1, or x = - 11.
You might be interested in
In triangle ABC, angle = 90 degrees. AC = 7, BC = 12. AB = _______ Measure of angle A = _______ Measure of angle B = _______
Ulleksa [173]

Answer:

AB = 13.89

Measure of angle A = 59.74°

Measure of angle B = 30.26°

Step-by-step explanation:

The given parameters are;

∠C = 90°

AC = 7

BC = 12

Part 1

Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)

From Pythagoras theorem, we have;

A² = B² + C²

Where, A is the opposite side to the right angle, hence;

In the ΔABC,

AB ≡ A

Therefore;

AB² = AC² + BC² = 7² + 12² = 193

∴ AB = √193 = 13.89

Part 2

∠A is the side opposite side BC such that by trigonometric ratios

tan \angle A = \frac{Opposite \, side \,  to \,  angle \,  A}{Adjacent  \,  side  \, to  \, angle \,  A}  = \frac{BC}{AC} = \frac{12}{7} = 1.714

∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°

Part 3

∠B is found from knowing that the sum of the angles in a triangle = 180°

∴ ∠A + ∠B + ∠C = 180° which gives

59.74° + 90° + ∠B = 180°

Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.

7 0
3 years ago
Read 2 more answers
Dennis is going to use a number line to multiply 6 × 4.
Sergeeva-Olga [200]
B. The answer will always be to the right of 4.
6 x 4 = 24
24 is greater than 4, which means it is to the right of 4. On a number line, numbers increase from left to right.
8 0
3 years ago
Read 2 more answers
Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 seconds, due to human reaction time at the s
Yakvenalex [24]

Answer:

a) 2,650%

b) 27,400%

c) 164,900%

Step-by-step explanation:

We want to measure the percentage we would have to increase the typical value to obtain the values given in a), b) and c).  

But 0.2 increased in x% equals  

0.2 + 0.2(x/100) =0.2(1+x/100)

So, if we want to increase 0.2 in x%, we must multiply it by (1+x/100)

a)

We need to find the value of x such that

0.2(1+x/100) = 5.5 ⇒ (1+x/100)=5.5/0.2 ⇒  1+x/100=27.5

⇒  x/100=26.5 ⇒ x=2,650%

b)

0.2(1+x/100) = 55 ⇒ (1+x/100)=55/0.2 ⇒  1+x/100=275

⇒  x/100=274 ⇒ x=27,400%

c)

5.5 min = 5.5*60 s = 330

0.2(1+x/100) = 330 ⇒ (1+x/100)=330/0.2 ⇒  1+x/100=1,650

⇒  x/100=1,649 ⇒ x=164,900%

4 0
3 years ago
Can anybody help with this pls :)
klasskru [66]

Answer:

54 degrees

Step-by-step explanation:

4x + 6 + 11x - 6 = 180

Then solve

7 0
3 years ago
(52)-3.54/5-4 what is the answer to this question
Grace [21]

Answer:

47.292

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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