solve
x4 − 8x2 + 16 = 0

==============================================

Explanation:

Because S and T are midpoints of segments PQ and QR, we know that ST is a midsegment of triangle PQR. Consequently, this means ST is parallel to PR.

From the same side interior angle theorem, the angles (11x-3) and (5x-9) are supplementary angles. This is only true because of the parallel lines.

So we can say the following:

(angle P) + (angle S) = 180

(5x-9) + (11x-3) = 180

(5x+11x) + (-9-3) = 180

16x - 12 = 180

16x = 180+12

16x = 192

x = 192/16

x = 12

--------------------------

Use this to find angle PST

angle PST = 11x-3

angle PST = 11*12-3

angle PST = 132-3

angle PST = 129 degrees

--------------------------

Optionally we can find angle QPR

angle QPR = 5x-9

angle QPR = 5*12-9

angle QPR = 60-9

angle QPR = 51 degrees

As a check, adding the two angles we found should get us 180

(angle PST)+(angle QPR) = 129+51 = 180

The answer checks out.

Answer:

How do you find the angle of a right triangle with 3 sides?

Step-by-step explanation:

Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).

Step 2 SOHCAHTOA tells us we must use Cosine.

Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.

Step 4 Find the angle from your calculator using cos-1 of 0.8333:

Answer:

Ice Cube, Liquid Water, and Steam

Step-by-step explanation:

An example of a solid is a ice cube, the particles are compacted together and there's very little movement.

An example of a liquid is water, the particles are more spread around and the movement is more frequent.

An example of a gas is steam, the particles are anywhere, moving fast and sporadic.

Answer:y

y=4x−5

Step-by-step explanation:

Answer:

h(-1) = 8

h(-2) = 11

h(-12) = 41

Step-by-step explanation:

h(x) = -3x + 5

h(-1) = -3(-1) + 5 = 3 + 5 = 8

h(-2) = -3(-2) + 5 = 6 + 5 = 11

h(-12) = -3(-12) + 5 = 36 + 5 = 41

Answer:

45.54

Step-by-step explanation:

hope this helps

Answer:

n=45.54

Step-by-step explanation:

simplifying both sides of equation

Answer:

-6

Step-by-step explanation:

x+56+x+136=180

2x+192=180

   -192  -192

2x=-12

/2   /2

x=-6

Answer:

6. 5x - 2

7. 13in

8. 3a + 20

9. 21 1/2

explanation:

6. add all of the values together

7. plug in 3 into the answer from #6 5(3) - 2 and you will get 13

8. add all values

9. plug in 1/2 into the answer from #8 3(1/2) + 20 and you will get 21 1/2

Answer:

[tex]y^{-1} =\frac{1}{2} x-\frac{5}{2}[/tex]

Step-by-step explanation:

Answer:

          x - 5

y = --------------

             2

Step-by-step explanation:

1.  Replace "f(x)" with "y:"  y = 2x + 5

2.  Interchange x and y:  x = 2y + 5

3.  Solve this result for y:

2y = x - 5, or

          x - 5

y = --------------

             2

Answer:

6 hours

Step-by-step explanation:

8 dollar - 1st hour = 8

10 dollar times 5 hours= 50dollar

total - 58 dollars for 6hours

Answer:

she was with the babysitter for 6 hours.

Step-by-step explanation:

Answer:

I'm not sure but I think it's B

Answer:

gradient = change in y/change in x

--> -2/4 = -1/2

Therefore slope = -1/2

Step-by-step explanation:

Please give BRAINLIEST, it is appreciated, hope this helps!

Answer:

The one in the bottom left

Step-by-step explanation:

Answer:

D. (1, -2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

5x - 2y = 9

3x + 4y = -5

Step 2: Rewrite systems

10x - 4y = 18

3x + 4y = -5

Step 3: Solve for x

Step 4: Solve for y

And we have our final answer!

Answer:

x² - x - 2 = 0

Step-by-step explanation:

plotting the graph of x and y,we have that the root of the equation is -1 or 2

x = -1 or 2

the eqn therefore is;

x² - (sum of the root)x + (product of the root) =. 0

x² - (-1+2)x + (-1*2) = 0

x² - x - 2 = 0

Applying the Factor Theorem, it is found that the quadratic function is:

[tex]p(x) = x^2 - x - 2[/tex]

------------------------

The Factor Theorem states that if a polynomial [tex]p(x)[/tex] has roots [tex]x_1, x_2, ..., x_n[/tex], it is described by the following equation:

[tex]p(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]

In which a is the leading coefficient.

[tex]p(x) = a(x - (-1))(x - 2)[/tex]

[tex]p(x) = a(x + 1)(x - 2)[/tex]

[tex]p(x) = a(x^2 - x - 2)[/tex]

When x = 0, p(x) = -2, and we use this to find a.

[tex]p(x) = a(x^2 - x - 2)[/tex]

[tex]-2 = a(0^2 - 0 - 2)[/tex]

[tex]2a = 2[/tex]

[tex]a = \frac{2}{2}[/tex]

[tex]a = 1[/tex]

Thus, the quadratic function is:

[tex]p(x) = x^2 - x - 2[/tex]

A similar problem is given at https://brainly.com/question/24380382

Answer:

What kind of question is this??

Step-by-step explanation:

C personalities are organized and controlled. They take their time completing tasks accurately, like to research things thoroughly, and are always prepared.  Because they put so much time and effort into everything they do, they hate to be criticized. They are perfectionists at heart and take even the smallest complaint personally.  This makes them extremely difficult to confront. The best way to approach it is to focus on parts of the problem largely out of the C personality’s control or aspects of the problem they might not have considered.  Make it clear that you appreciate all of their efforts and that you’re bringing something to their attention because it’s a variable that they need to have in the equation in the future. No matter what, don’t frame the conflict as a personal attack. If you do, the C personality will likely become resentful and go out of their way to avoid future interactions with you.%%%%%%%%%%%%%%%

Answer:

=1

Step-by-step explanation:

Answer:

Work shown below!

Step-by-step explanation:

3y - 2x = 7

Subtract 3y from both sides;

-2x = -3y + 7

Divide both sides by -2

[tex]x=\frac{3}{2}y-\frac{7}{2}[/tex]

Answer:

±2/3, ±7/2, ±14

Step-by-step explanation:

edge:) 2020

Answer: ±2/3, ±7/2, ±14

Step-by-step explanation: edge 2020

Answer:

2=n

Step-by-step explanation:

-6=n-4n

1. n-4n is -3

2. new equation (-6=-3n)

3. Divide: -6 and -3 =2 to get the n by itself

4. final answer 2=n

Answer:

The measure of JK is 60

Step-by-step explanation:

It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.

The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .

According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third si

Answer:

60

Step-by-step explanation:

Answer:

2. A reflection of the y axis followed by a translation.

Step-by-step explanation:

ABC was reflected across the y-axis and then translated down.

Answer:

17.5

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

Answer:

1.5 x cells

Step-by-step explanation:

3 cells every 2 second

1.5 cells per second

therefore

    after x seconds there ll be 1.5 *x number of cells

 =1.5x cells

Answer:

x = 11/5

Step-by-step explanation:

3-3x = -8x +14

5x = 11

x= 11/5

Answer:

4.5

Step-by-step explanation:

2,700 ÷ 600 = 4.5

not a 100% sure just trying to help

Answer:

Because scientific notation has to be in between 1 and 10, you would need this to be 5.2. Count the spaces and since its getting smaller your exponent is negative.

Your answer should be 5.2*10^(-3)

Step-by-step explanation: