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 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

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

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

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

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

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

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

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

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

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:

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

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]

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

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:

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

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.

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.

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 -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]

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:

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:

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.

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

Answers

The answer is five or B

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

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

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 :)

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

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

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!

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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