If using the method of completing the square to solve the quadratic equation x^2-9x+2=0 which number would have to be added to "complete the square"?

The values of x and z° are x = 14 and z = 12° , respectively.

In geometry, an angle is a measure of the amount of rotation between two intersecting lines or line segments. It is typically measured in degrees or radians. Angles are important concepts in geometry as they help us to understand and describe the relationships between different geometric figures.

An angle is formed by two rays or line segments that share a common endpoint called the vertex of the angle. The rays or line segments are referred to as the sides of the angle. The size of an angle is determined by the amount of rotation between the two sides, measured in degrees or radians.

Vertical opposite angles are congruent, which means that:

6x - 6 = 9x - 48

Simplifying this equation, we get:

3x = 42

Dividing both sides by 3, we get:

x = 14

Now we can use the value of x to find the measure of the adjacent angle z:

z = 180 - (6x - 6 + 9x - 48)

Simplifying and substituting x = 14, we get:

z = 180 - (6(14) - 6 + 9(14) - 48)

z = 180 - (84 - 6 + 126 - 48)

z = 180 - 168

z = 12°

Therefore, the values of x and z are x = 14 and z = 12° , respectively.

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For the given figure we used the angles of intersecting lines, the values of x is 14 while the value of z° is 102°.

In geometry, an angle is a measure of the amount of rotation between two intersecting lines or line segments. It is typically measured in degrees or radians. Angles are important concepts in geometry as they help us to understand and describe the relationships between different geometric figures.

An angle is formed by two rays or line segments that share a common endpoint called the vertex of the angle. The rays or line segments are referred to as the sides of the angle. The size of an angle is determined by the amount of rotation between the two sides, measured in degrees or radians.

Since the vertical opposite angles are equal, we can set them equal to each other and solve for x:

6x - 6 = 9x - 48

Subtracting 6x from both sides, we get:

-6 = 3x - 48

Adding 48 to both sides, we get:

42 = 3x

Dividing by 3, we get:

x = 14

Now, we can find the value of angle z:

angle z + (6x - 6) = 180                     [Linear pair]

Substituting x = 14, we get:

angle z + 78 = 180

Simplifying, we get:

angle z = 180 - 78

angle z = 102°

Therefore, x = 14 and angle z = 102°.

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Answer:

5

Step-by-step explanation:

8 + (-3)  is basically 8 - 3, which is 5.

Answer:

I would say constant, $19/sweater. The table doesn't go up by 2s or 3s.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

anything to the power of 0 is equal to 1

Hopes this helps please mark brainliest

If the ratio of a basketball players completed free throws to attempted free throws is 9 to 12. If she attempted 20 free throws, the number of  free throws she completed is 27 free throws.

Given data:

Attempted free throws = 9 to 12

Free throws = 20

Formulate

9/12= 20/x

Cross-multiply

9x = 20× 12

9x = 240

Divide both side by 9x

x = 240/9

x = 26.6

x = 27 free throws (Approximately)

Therefore the free throws is 27.

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Answer:

A student needs to take 10 dance classes to learn it

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

14+3x=8x-3(x-4)

Answer:

2/10 or 1/5

Step-by-step explanation:

there are 10 equal 'slices'

then count those with a J

that would be 2

Answer:

0.2 = 20% probability that Ali will win the game.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Total outcomes:

The 10 sides that the dice can land, which means that \(T = 10\)

Desired outcomes:

Sides that are multiple of 4, that is, side 4 and side 8, so \(D = 2\)

Work out the probability that Ali will win the game.

\(p = \frac{D}{T} = \frac{2}{10} = 0.2\)

0.2 = 20% probability that Ali will win the game.

Answer:

x = 9

Step-by-step explanation:

QR + RS = QS

6x - 20 + 5x - 24 = 55

11x - 44 = 55

11x = 99

x = 9                <--- This is the answer

Hope this helps!

Answer:

Never applies

Step-by-step explanation:

Given

Argument: The sum of a number and its opposite is always 1

Assume a positive number x

The opposite of the number is negative x (i.e. -x)

The sum of both numbers is:

\(Sum = x + (-x)\)

Open Bracket

\(Sum = x -x\)

\(Sum = 0\)

Now, take for instance.

\(Number = 5\)

Opposite would be

\(Opposite = -5\)

Their sum is:

\(Sum = 5 + (-5)\)

\(Sum = 5 -5\)

\(Sum = 0\)

Another instance is:

\(Number = -8\)

Opposite would be

\(Opposite = 8\)

Their sum is;

\(Sum = -8 + 8\)

\(Sum = -0\)

Hence, the argument never applies because the sum is never 1

Using simple Subtraction, following is the required data.

point A always begins at 45 and point B at 69,

b) If A moves 2 units to the right, and B moves 2 units to the left, the points will be 20 units apart. (47 - 67)

c) If A moves 2 units to the left, and B moves 2 units to the right, the points will be 28 units apart. (43 - 71)

D) If A moves 10 units to the right, and B moves 10 units to the left, the points will be 4 units apart. (59 - 55)

e) If A moves 12 units to the right, and B moves 12 units to the left, the points will be 0 units apart.

f) A moved units to the left, B moved the same number of units to the right, and the points became 48 units apart.​

We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.

Subtraction can be applied in a variety of real-world situations.

Assume you had five apples and your friend had three. The number of remaining apples may be determined by subtracting: 5 - 3 = 2. Therefore, you are left with 2 apples. Similar to the previous example, if a class has 16 students, 9 of them are girls, we can determine the number of boys in the class by deducting 9 from 16. (16 - 9 = 7). There are 7 lads in the class, as far as we know.

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when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:

x =28

Step-by-step explanation:

Divide the numbers

Combine multiplied terms into a single fraction

Eliminate fraction denominators

Simplify

Divide both sides of the equation by the same term

Answer:

its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2

Answer:

When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.

Multiply b^2 * b^3 = b^5  (add the exponent 2 + 3 = 5)

Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)

Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)

b^2 * b*2 = b^4 (add exponents)

7b * b^2 = 7b^3 (add the exponents 1 + 2)

4 * b^2 = 4b^2

              b^2             +               7b             +        4

b^3           b^5              +           7b^4            +   4b^3

+                                                                                      

b^2           b^4             +           7b^3            + 4b^2

b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2

\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)

Answer: If two parallel lines are cut by a transversal, then corresponding angles are congruent.

Step-by-step explanation:

Answer:

  B.  16

Step-by-step explanation:

The linear term of a perfect square quadratic trinomial is twice the product of the roots of the leading term and the constant. That means the constant is the square of half the coefficient of the linear term.

The coefficient of the linear term is -8. The square of half that is ...

  (-8/2)² = 16

The constant that must be added is 16:

  x² -8x +16 = 3 +16

  (x -4)² = 19

ANSWER:

A = 48.19°

B = 48.19°

C = 83.62°

STEP-BY-STEP EXPLANATION:

Given:

a = 6, b = 6, c = 8

We can calculate the angles by means of the law of cosines, just like this:

We apply in each case to calculate the 3 angles, as follows:

Therefore, the angles are the following:

A = 48.19°

B = 48.19°

C = 83.62°

Answer:

1/8 divided by 1/3 = 3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation                          

sorry if it wrong have a good day/night ;)

Answer:

0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I got it right on edge

Answer:

x+x-6

Step-by-step explanation:

The correct statements describing the given functions are -

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given are the functions. It is asked to identify the statements that describe these functions.

The given functions are h(x) and its inverse h⁻¹(x). For the given functions, as we can see in the table, the following statements are true -

Therefore, the correct statements describing the given functions are -

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Step-by-step explanation:

\(b(1) = 4\)

Since this is an arithmetic sequence, notice that if you subtract b(1) (i.e., 4) from b(2)(i.e., 22), you get 18. Likewise, if you subtract b(2) from b(3) you also get 18. Therefore,

\(b(n) = b(n-1) + 18\)

Answer:

he earns $75

Step-by-step explanation:

E(3)=25*3

E(3)= $75

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

Answer:

-1 / 2

Step-by-step explanation:

just submit that

Answer:

250m

Step-by-step explanation:

2000m/ 8laps = 250m