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Leto [7]
3 years ago
5

Solve for x. Enter the solutions from least to greatest. (x−1)^2−9=0

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Step-by-step explanation:

(x−1)²−9=0

(x-1)²= 9

x-1 = ±√9

x-1 = ±3

x = 1-3=-2 or x=1+3=4

the solution = {-2,4}

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Need some help with this question please
Serggg [28]

Answer:

\frac{15}{17}

Step-by-step explanation:

  • \cos( \alpha )  =  \frac{ad}{hip}  \\  \\  \sin( \alpha )  =  \frac{op}{hip}

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

x \:  =  \sqrt{{17}^{2}  -  {8}^{2} }  \\ x =  \sqrt{289 - 64}  \\ x =  \sqrt{225}  \\ x = 15

\sin( \alpha )  =   - \frac{15}{17}

\sin( -  \alpha )  =  \frac{15}{17}

4 0
3 years ago
Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe
satela [25.4K]

Answer:

The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

The probability of a component passing the test is, P (S) = 0.79.

The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

            =0.79\times0.21\times0.79\\=0.131061\\\approx0.1311

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

            =0.79\times0.79\times0.21\\=0.131061\\\approx0.1311

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

7 0
3 years ago
Colin drew the floor plan of his bedroom shown below. What is the area of his bedroom in square feet?
labwork [276]
512 because multiply each number together
4 0
3 years ago
Yeah thanks if u help I love u no matter what..
skad [1K]

Answer:

please stop all this love comments

Step-by-step explanation:

okk? that will be better

3 0
2 years ago
In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E
borishaifa [10]

Answer:

m∠C = 44°

Step-by-step explanation:

In ΔCDE,

m∠C=(4x−16) ∘

m∠D=(6x−1) ∘

m∠E=(4x−13) ∘ .

The sum of angles in a triangle = 180°

Step 1

We solve for x

m∠C + m∠D + m∠E

(4x−16)° + (6x−1)° + (4x−13)° = 180°

4x - 16 + 6x - 1 + 4x - 13 = 180°

4x + 6x + 4x -16 - 1 - 13 = 180°

14x - 30 = 180°

14x = 180+ 30

14x = 210

x = 210/14

x = 15

Step 2

Find m∠C

m∠C = (4x−16)°

m∠C = (4 × 15 - 16)°

m∠C = (60 - 16)°

m∠C = 44°

3 0
3 years ago
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