Solve the equation for all real solutions.
k^2+8k+22=6

Answers

Answer 1

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[tex] {k}^{2} + 8k + 22 = 6 [/tex]

Subtract sides 6

[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]

[tex] {k}^{2} + 8k + 16 = 0[/tex]

[tex] ({k + 4})^{2} = 0[/tex]

Thus ;

[tex]k + 4 = 0[/tex]

Subtract sides 4

[tex]k + 4 - 4 = - 4[/tex]

[tex]k = - 4[/tex]

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Related Questions

Which number is NOT a solution for 4x - 2] < 8?
A-1
B 5
C 2.
DO

Answers

The answer is five or B

Refer to the graph. Find the slope of each line

Answers

the top line has a slope of 2/4 which reduces to 1/2 and the second line has a slope of -1/4

Answer:

The top line has a slope of 1/2

The bottom line has a slope of - 1/4

Please help me!! Thanks!!!

Answers

Answer:

yessirrr

Step-by-step explanation:

1. They are all 100 degrees

2. They are once again all 150 degrees

a snowboard at a local shop normally cost $400. Over Labor day weekend, the snowboard is on sale for 60% off. What is the sale price of the snowboard​

Answers

Answer:

$160

Step-by-step explanation:

What is shaded in here?

Answers

Answer:

4/100 is the fraction

Step-by-step explanation:

there are four blue blocks shaded out of the 100

order them from least to the greatest value.

Answers

Answer:

-0.89, 0.4, 1/2, 9/8, I-2I

Step-by-step explanation:

Answer:

1. -2

2. 0.4

3. 0.5/ 1/2

4. -0.89

5. 0.88/ 9/8

Step-by-step explanation:

Which table represents a linear function?
pls answer quick :)

Answers

Answer:

The first table

Step-by-step explanation:

A linear function is represented when x and y are increased at a constant rate. In the first table, you can see that as x increases by 1, y increases by 1/2, thus the first table is a linar function.

Which of the sets of ordered pairs represents a function?
A = {(2,-2), (5,-5), (-2, 2), (-5,5)}
B = {(4,2), (4,−2), (9, 3), (9, −3)}

Answers

it’s A because each domain is a different number
The answer is a because all of the domains on have one output

Given f(x) = 9x - 12. what is the value of f(5)?​

Answers

Answer:

33

Step-by-step explanation:

Answer:

f(5) = 33

Step-by-step explanation:

Just plug 5 into x

f(x) = 9x - 12

f(5) = 9(5) - 12 = 45 - 12 = 33

What is the slope of the line on the graph below?

Answers

Answer:I can’t answer there is no graph.

Step-by-step explanation:

I need a graph, In order to answer your question

Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)

Answers

Answer:

[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]

Step-by-step explanation:

Two points (1, -1) and (0, 6) are lying on the given line.

Rule to find the coordinates of a point by the rotation of 90° clockwise is,

(x, y) → (y, -x)

Therefore, image points of (1, -1) and (0, 6) will be,

(1, -1) → (-1, -1)

(0, 6) → (6, 0)

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (-1, -1) and (6, 0) will be,

m = [tex]\frac{0+1}{6+1}[/tex] = [tex]\frac{1}{7}[/tex]

Equation of the line passing through (6, 0) and slope = [tex]\frac{1}{7}[/tex]

y - y' = m(x - x')

y - 0 = [tex]\frac{1}{7}(x - 6)[/tex]

[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]

Dawn and Mary work at Great Clips. They each make $11.50 per hour plus tips. Last weekend, Dawn worked x number of hours and earned $125 in tips. Mary worked y number of hours and earned $153 in tips. Dawn determined that using the expression 11.50x + 125 + 11.50y + 153 will calculate the amount the girls earned together last weekend. Select another expression the girls could use.Immersive Reader

Answers

Answer:

T=11.50(x +y) + 278

Step-by-step explanation:

in this problem we are looking at an alternative expression to the given expression for the total earning which is

Given data

T=11.50x + 125 + 11.50y + 153

let us collect like terms we have

T=11.50x + 11.50y + 153+ 125

T=11.50x + 11.50y +278

we can factor out 11.5 since it is common

T=11.50(x +y) + 278

The alternative expression the girls could use is

T=11.50(x +y) + 278

What is the slope of the line that passes through the points (5.3) and (-4,-1)

Answers

Answer:

y = 4/9x + 1

Step-by-step explanation:

What is -6 x -4 ?

sorry i suck at math

Answers

Answer:

24

Step-by-step explanation:

Negative × negative = positive-6 × -4 = 24

I hope this helps!

Answer:

+ 24

Step-by-step explanation:

[tex] - 6 \times - 4[/tex]

6×4= 24

(-)×(-) = (+)

[tex] + 24 \: or \: 24[/tex]

is the answer infinite, zero, or indefinite
2x - 1 = 1 - 2x

Answers

Answer:

x = 1/2

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2x - 1 = 1 - 2x

Step 2: Solve for x

[Addition Property of Equality] Add 2x on both sides:                                  4x - 1 = 1[Addition Property of Equality] Add 1 on both sides:                                     4x = 2[Division Property of Equality] Divide 4 on both sides:                                 x = 2/4Simplify:                                                                                                             x = 1/2

7. Which number is not a perfect square?
A. 81
C. 169
B. 125
D. 289

Answers

B. 125 because the square root of 125 is 11.180

Answer:

B. 125

Step-by-step explanation:

square roots:

81 = 9

169 = 13

125 = 11.180..

289 = 17

how do you know if an ordered pair output is a function?

Answers

Answer:

If there is more than one X value in the ordered pairs and they have different Y values, it is not a function. Otherwise, it is a functio

Answer:

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

I don’t know what to put for number 4 and it’s due tomorrow!!

Answers

Answer:

I can't really help you since I don't have the passage but all I can say is to describe how he's using his facts to support his claims

Step-by-step explanation:

Triangle ABC is transformed to triangle A′B′C′, as shown below:

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.

Which equation shows the correct relationship between the measures of the angles of the two triangles?

The measure of angle CAB = The measure of angle C prime B prime A prime
The measure of angle BCA = The measure of angle A prime B prime C
The measure of angle CAB = The measure of angle C prime A prime B prime
The measure of angle BCA = The measure of angle C prime A prime B prime low

Answers

Answer:

The measure of angle BCA = The measure of angle A prime B prime C

Can you combine the terms 8x +5y? Explain.

Answers

no, they have different variables

Answer:

Step-by-step explanation:

You can becuase 8 and 5=13 and then x and y equeal to somthing do yeah it’s right

Use the figure to find the measure of angle 2

Answers

The measure of angle 2 is 82 degrees cuz those two angles are alternate exterior angles, so they are the same measure
82!! Because 82 and angle 6 are vertical angles which means angle 6 is 82 degrees. Furthermore, angle 6 is corresponding angles with angle 2 so that means they are congruent! And that is how you get 82.

Select the interval where f is negative

Answers

Answer:

The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero). y-values that are on the x-axis are neither positive nor negative. The x-axis is where y = 0.

Step-by-step explanation:

hope this helps :)

3. A Fahrenheit thermometer reads 63°F. If the temperature increases 10°F, to the nearest degree, what is the new temperature C, in degrees Celsius?​

Answers

Formula to convert F to C:

(F -32) x 5/9

F = 63 + 10 = 73

73-32 = 41

41 x 5/9 = 22.77777

Rounded to the nearest degree = 23 C

Answer: 63 +10 =73 then you have to round it right

it would be 70 degrees Celsius

Step-by-step explanation:

it would be rounded to 70 because 73 cant be round to 80 the 3 is ot higher than 5

Solve for x using the
distributive property.
7(x + 3) = -49

Answers

Answer:

x= -10

Step-by-step explanation:

distribute 7 to x and 3: 7x + 21 = -49

subtract 21 from both sides to isolate the variable: 7x= -70

divide both sides by 7 to find x: x= -10

Answer:

X = -10

Step-by-step explanation:

1.- 7x + 21 = -49

Subtract 21 on both sides of the equal sign

You should have:

2.- 7x = -70

Divide 7 on both sides of the equal sign

You should get the answer:

X = -10

Arrange these numbers in order from least to greatest

1/2, 0,-2,1

Answers

Answer:

-2, 0, 1/2, 1

Step-by-step explanation:

please help me solve this​

Answers

Complementary angles add up to 90 degrees.

Which means.. the equation is
8x-23+7x-7=90
Combine like terms you should get
15x-30=90
Add 30 on both sides
15x=120
Divide 15 x=8
Plug in 8 to (8x-23)
8(8)=64-23=41
m

factor 2x^2 - 7x = 0

Answers

Answer: x=3.500

Step-by-step explanation:  product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

   2x-7 = 0  

Add  7  to both sides of the equation :  

                     2x = 7

Divide both sides of the equation by 2:

                    x = 7/2 = 3.500

Ryan is three years younger than twice his brother’s age. Ryan is eleven.

Which equation will help us find his brother’s age?

2 b + 3 = 11
2 b – 3 = 11
b/2 – 3 = 11
b/2 + 3 = 11

Answers

Answer:

2b - 3 = 11

Step-by-step explanation:

7 × 2 is 14 and 14 minus 3 is 11 Ryan's brother is 7

Simplify the expression in part C, and explain what the number means with regard to the problem.

Answers

Answer: |55.75 – (-15.8)| = |55.75 + 15.8| = |71.55| = 71.55

Step-by-step explanation: The distance between two positions with longitudes A and B is given by ||A| - |B|| if the two positions are at the same side of the meridian (0 degrees longitude) and |A| + |B| if both positions are at different sides of the meridian.

Answer:

12.3 + 9.6 = 21.9

Step-by-step explanation:

The number 21.9 means that when she rode the Ferris wheel from the bottom to the top, Vivian's height rose by 21.9 feet.

ILL GIVE BRAINLY THIS IS THE WHILE QUESTION I FORGOT TO ADD THIS

Answers

B. Situation A
C. Situation B

Explanation: Situation A has more students on the higher numbers.

Second Explanation: Situation B has numbers on the 70.
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