Let ​ x2+8x=7 .​

What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.

​​x2+8x+ ? ​= ​?

Answers

Answer 1

Answer:

x²+8x+16=24

Step-by-step explanation:

x²+8x=7 (+16)

x²+8x+16=7+16=24

(x+4)²=24

Answer 2

The values to be entered in the boxes are 16 and 23.

Given the equation is [tex]x^2[/tex]+8x=7

To complete the square for the equation [tex]x^2[/tex] + 8x = 7, we need to add a constant term on both sides of the equation to create a perfect square trinomial on the left side.

First, take half of the coefficient of the x-term (8) and square it:

[tex](8/2)^2[/tex] = 16

Now, add 16 to both sides of the equation:

[tex]x^2[/tex] + 8x + 16 = 7 + 16

Simplifying:

[tex]x^2[/tex] + 8x + 16 = 23

Therefore, the equivalent number sentence after completing the square is [tex]x^2[/tex] + 8x + 16 = 23

The values to be entered in the boxes are 16 and 23.

Hence, [tex]x^2[/tex] + 8x + 16 = 23.

Learn more about completing the square in quadratic equations, click here:

https://brainly.com/question/12014272

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Related Questions

16
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What is the volume of a box that will hold exactly 567 of these cubes 1/3

Answers

pointsssssssss thank you :)

Step by step;
21 cubic inches is the volume of a box that will hold exactly 567 of these cubes with 1/3 inch sides.

which set of numbers can represent lengths of the sides of a triangle? A. 1,3,4 B. 3,5,8 C.4,4,9 D. 5,7,9

Answers

Answer:

c

Step-by-step explanation:

4 4 9

sum of 2 sides of a triangle should be greater than the third side.

D 5,7,9

1+3=4 so it can’t be A
3+5=8 so it can’t be B
4+4=8 so it can’t be C
5+7=12 which is greater than 9

heyy! can someone please help with all these questions:(( i don’t know it and it would be really nice if u helped!!! and please don’t make these excuses saying “where’s the picture” and “I can’t read what it says it’s too blurry” because I really work hard for these points :) so please don’t let me down, thank you so much and I hope you have the greatest day<33 stay safe and stay healthy! / I will post this non stop because no one is helping and just keep taking points away from me :( /

Answers

Answer:

1. 1/2 and 2/4

2. They are equivalent because it you put them in simplest form they are going to be equal

3. No

4. They are not equivalent because 1/8 and 1/5 isn't the same so they aren't going to be equal

hope this helps

have a good day :)

Step-by-step explanation:

A rectangle has side measurements of 12 units and 8 units. What is the approximate measure of a diagonal that cuts through the rectangle?

Answers

Answer:

14.4

Step-by-step explanation:

pythagorean theorem

Mrs. Long keeps a garden in her backyard. The garden is in the shape of a rectangle. The garden is 27 feet wide. If the perimeter of the garden is 200 feet, what is the length of Mrs. Long’s garden

Answers

Answer:

so Area = length x width

Area = 450,  width = 9

450 = 9 x length

divide 450 by 9, and you have the length.

Perimeter = length + length+ 9 + 9

and you got your perimeter!

Step-by-step explanation:

what is the value of 9 1/2

Answers

Answer:

9.5

Step-by-step explanation:

Is that what you mean by value?

I need a better explanation

Answer:

Step-by-step explanation:

It is nine and a half. What do you exactly mean by value?

find the total surface area of the following square pyramid

Answers

Answer:

 area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Find the surface area and volume for each pyramid

Answers

Answer:

the answer is 95.2

plz give brainliest

Answer:

volume = 4468.8 m3

surface area = 2021.6 m2

Peyton is going to invest $71,000 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Peyton to end up with $106,000?

Answers

Answer:

2.23

Step-by-step explanation:

Help please! Someone who knows the answer.

Answers

Answer:

A = 140° B = 30° C = 10°

Step-by-step explanation:

3x + 135 = 180

3x = 45

x = 15°

2 X 15 = 30

1 X 15 - 5 = 10

Find the area of each composite figure.
Round to the nearest TENTH if necessary.

Answers

Answer:

Step-by-step explanation:

For a biology assignment, Christopher records the height of a plant
over time. The plant was 18 cm tall when he started the assignment. He
notices that the plant grows 4 cm every week.
I need it now!!

Answers

What is your question???


A parabola opening up or down has vertex (0, 0) and passes through (-6,-9).
Write its equation in vertex form.
Simplify any fractions

Answers

Answer:

the formula is 1.5x^2

Step-by-step explanation:

Since the vertex is 0,0 h and k are both 0

then you plug in the -6 and -9 to the equation

a(-6)=-9

3/2(x)^2

hope that answers your question

You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy the soccer cleats. Soccer Cleats cost: $36.00

Answers

Answer:

You would need 48

Step-by-step explanation:

divide 36.00/0.75

A stack of boards is 24 inches high.The thickness of each board is 3/8 inch. How many boards are in the stack?

Answers

Answer:

64 boards:)

Step-by-step explanation:

The answer will be 64 boards.

help me outttt, thank you so much whoever does :))

Answers

12.59

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

¿es cierto que si se suman los resultados de la tabla del con los de la tabla del 5 se obtienen los resultados del 7 ¿porque

Answers

Answer:

Efectivamente, si se suman los resultados de la tabla del 2 con los de la tabla del 5 se obtienen los resultados de la tabla del 7.

Step-by-step explanation:

Esto es así porque 7 puede formarse a través de diversas sumas (7+0, 6+1, 5+2 o 4+3). Por ende, en el caso de las tablas de multiplicaciones, decir, por ejemplo, 7 x 3, es igual a decir 5 x 3 + 2 x3, dado que 5 + 2 es igual a 7.

Entonces, siguiendo el ejemplo, dado que 7 x 3 es igual a 21, la suma de 5 x 3 igual a 15 y 2 x 3 igual a 6 es 21 (15 + 6), con lo cual la afirmación es correcta.

Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that ap...

Answers

Answer:

a quadratic equation has no real number solutions than the discriminant is less than zero  

D < 0  

(b^2 -4ac) < 0  

(9 -4(-1*c) < 0

(9+4c) < 0

4c < -9

c < -9/4

hope this will help you

Step-by-step explanation:

is there anyone available to help me with my math for a little while, it's 10th grade geometry and I just need help, too many people are answering my questions with just bring them answers, or extremely inappropriate answers and I need actual help​

Answers

Answer:

yes I can help you and I can answer your questions!

Solve each problem.
29. It is 385 miles from Al's house
to his grandparents' house. It
takes Al's family 7 hours to
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of speed in miles per hour?

Answers

Answer:

rate is 55 i think

Step-by-step explanation:

take 385 ÷ 7 and you get how far they travel in one hour

I lhes New Roman
16px
1.5pt • BI U SA A
X X2
6-1 Area Word Problems
Pizza Palace's largest pizza box has side lengths of 18 inches. A customer wants to special order a pizza
with an area of 300 square inches. Will the pizza fit in one of Pizza Palace's pizza boxes?

Answers

Answer:

No,the pizza will not fit in the box

Step-by-step explanation:

Since the diameter of the pizza is 19.6 inches which is greater that the side length of the box, the pizza is longer than the side lengths of the box

to get the diameter of the pizza,Since the pizza is circular in shapeArea of a circle = π r²where r is the radius and the area is 300 inch²

300 = 3.142 × r²

[tex] {r}^{2} \: = \: \frac{300}{3.142} \\ {r}^{2} = 95.48 \\ r \: = \sqrt{95.48} \\ r \: = \: 9.8 \: inches[/tex]But diameter is two times the radius So.....diameter = 2r Diameter of the pizza = 2 × 9.8Diameter of the pizza = 19.6 inches

the melting point of ice + common salt =​

Answers

Answer:

Step-by-step explanation:

Ice forms when the temperature of water reaches 32 degrees Fahrenheit (0 degrees Celsius). When you add salt, that temperature drops: A 10-percent salt solution freezes at 20 °F (-6 °C), and a 20-percent solution freezes at 2 °F (-16 °C). On a roadway, this means that if you sprinkle salt on the ice, you can melt it.

Ice forms when temperatures are increased meaning it’ll be by 20 degrees

I need help with this question ( see image). Please show workings.​

Answers

Answer:

Percentage of the garden that is used to make the pond = 53.8%

Step-by-step explanation:

Area of a garden = 104 m^2

Area of a garden = 104 m^2Area of a pond = 56 m^2

Percentage of the garden that is used to make the pond

= (56/104) × 100%

= 53.8%

Hope this Helps!!!

am I correct and do I write a=-2 or negative,2 will be better​

Answers

Answer: a=-2 is better

Step-by-step explanation:

you should write a=-2

HURRYYYYY PLEASEEEEE

Find the area of the circle. Use 3.14 for p.

Answers

Answer: B

Step-by-step explanation:

What is -1/2 (-5/6 plus 1/3) simplified

Answers

Answer:

0.25 or 5/12 - 1/6

Step-by-step explanation:

-1/2(-5/6+1/3), do PMDAS. (-5/6) = -0.833 (repeated) and (1/3) = 0.333 (repeated) and you add them both (-0.833 + 0.333) = -0.5 and -1/2 = -0.5 and when you multiply them both it would equal 0.25. or another explanation for the answer is 5/12 = 0.41666666666 and 1/6 = 0.16666666666 and when you subtract them both you get 0.25, I hope this was helpful.

The sum of the reciprocal of two consecutive odd integers is 44/483.Write a rational equation to solve the problem.

Answers

Answer:

Step-by-step explanation:

Let consecutive odd integers be (2x + 1) and (2x + 3)

Their reciprocals are [tex]\frac{1}{2x + 1 }[/tex]    and [tex]\frac{1}{2x + 3 }[/tex]

[tex]\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\[/tex]

483*(4x+4) = 44*(4x² + 8x + 3)

483*4x + 483*4 = 44*4x² + 44*8x  + 44*3

1932x + 1932 = 176x² + 352x + 132

176x² + 352x + 132 -1932x - 1932 = 0      

Combine like terms

176x² + 352x - 1932x - 1932 + 132 = 0

176x² - 1580x - 1800 = 0

Divide the equation by 4

44x² - 395x - 450 = 0

PLS HELPP!!!!
Find f(-5) if f(x)=|x+1|
a.6
b.5
c.4

Answers

The answer is 4 because, -5+1 is -4 then the absolute value of -4 is 4. Hope this helps

If 10 sandwiches cost $36.20, how much will 7 sandwiches cost?

Answers

Answer is 25.34

You just have to divide 36.20 by 10 which is 3.62 and then you multiply 7

Can someone help me with this problem

Answers

Angle B is 79 because of reflective property (however you spell it)
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