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:

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Related Questions

Ashin has been working in UAE for a decade and saved AED 125,500 which he wants to transfer now to his parent's account in India. Keeping in mind the AED – INR exchange rate for the day, which is AED 1 = 20 (approx.), find the amount of money which Arshad's parents will withdraw in India.

Answers

Answer:

2510000 INR

Step-by-step explanation:

Given

[tex]Savings = AED 125500[/tex]

[tex]1\ AED =20\ INR[/tex]

Required

The amount that will be withdrawn in India

We have:

[tex]1\ AED =20\ INR[/tex]

Multiply both sides by the savings

[tex]125500 * 1\ AED =20\ INR * 125500[/tex]

[tex]125500\ AED =125500 * 20\ INR[/tex]

So, we have:

[tex]125500\ AED =2510000\ INR[/tex]

Hence, the amount that will b withdrawn is: 2510000 INR

someone please help im gonna fail

Answers

Answer:

The order will be 2, 3, 4 & 1

Answer:

Juana lee Ann Jackson ryne

Step-by-step explanation:

can i have brainly

plz help what is the slope of this line shown?

Answers

Answer:

slope= -3

Step-by-step explanation:

i hope this helps :)


solve for x PLEASE HELP

Answers

Answer:

x=5

Step-by-step explanation:

11^X=11²×11³

11^X=11^5

x=5

Answer:

Anwer is x=5

Step-by-step explanation:

11^x-3=11

11^x-3= 121

x-3=2

add 3 both side

x=5 help this help 5 star please :)

If the measure of arc AD is 65 degrees and the measure of arc BC is 45 degrees, what is the measure of angle BEC?

Answers

Answer:

[tex]\angle BEC=55 \textdegree)[/tex]

Step-by-step explanation:

From the question we are told that:

Arc [tex]AD =65 \textdegree[/tex]

Arc [tex]BC =45 \textdegree[/tex]

Given The angle of intersecting chords theorem

Generally the equation for angle BEC is mathematically given by

 [tex]\angle BEC=\frac{1}{2} (\angle of arc AD+\angle of arc BC)[/tex]

 [tex]\angle BEC=\frac{1}{2} (65 \textdegree+45 \textdegree)[/tex]

 [tex]\angle BEC=55 \textdegree)[/tex]

20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates and 11 diplomas how many have a school certificate only

Answers

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

[tex]n(A)=14[/tex]

[tex]n(B)=11[/tex]

[tex]n(A\cup B)=20[/tex]

We know that,

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]20=14+11-n(A\cap B)[/tex]

[tex]20=25-n(A\cap B)[/tex]

Subtract both sides by 25.

[tex]20-25=-n(A\cap B)[/tex]

[tex]-5=-n(A\cap B)[/tex]

[tex]5=n(A\cap B)[/tex]

We need to find the number of people who have a school certificate only, i.e. [tex]n(A\cap B')[/tex].

[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]

[tex]n(A\cap B')=14-5[/tex]

[tex]n(A\cap B')=9[/tex]

Therefore, 9 people have a school certificate only.

answer for brainlest and 10 points

Answers

Answer:

Rational

Step-by-step explanation:

any number that can be written in fraction form is a rational number

hope this helps

The size and shape of a figure will stay the same after a translation is performed.
o True
o False

Answers

Answer: true

Step-by-step explanation:

True, because translation means just to move a figure, not to change a shapes's size, width, height, or any other property of the shape.

Help on this complete the square problem.


[tex]x^2+3x+7[/tex]

Answers

X2+3x+7=0 that’s the answer

The midpoint of AB isM(2,5). If the coordinates of A are (−3,6), what are the coordinates of B?

Answers

Answer:

(7,4)

Step-by-step explanation:

Midpoint Formula = [tex](x_{1} + x_{2}/2)=[/tex] x coordinate of midpoint

same for y coordinate of midpoint

so

2=-3+x/2

4=-3+x

x=7

for y

5=6+y/2

10=6+y

y=4

therefore B(7,4)

solve each of the following equations show solution set on a number line 3x-1=8

Answers

Answer:

x=3

Step-by-step explanation:

here u go!!! :)

answer

I’ll mark brainliest. I really need help on this pleaseee!!

Answers

It is letter B because that is right

If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form

Answers

Answer:

Step-by-step explanation:

If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form

PLZZ HELP ILL GIVE BRAINLIST

Answers

The answer is -19!!!

plz help with both questions (no link plz) 15 point and will make brainly

Answers

Answer:

question 5) 340.5

Step-by-step explanation:

abigails decorating buissness charge for every hour = $100+$13.50= 113.5

for 3 hour charges will be= 113.5 x 3= 340.5

hope it helps ❤️

PLS, I NEED HELP ASAP!!​

Answers

Answer:

3x+18

Step-by-step explanation:

3 times x

3 times 6

3x

18

3x+18

which is an example of growth and decay:
f(x)=250(0.87)x
f(x) = 15 (1.25)x

Answers

Answer:

Both or neither

Step-by-step explanation:

If you input them into a calculator, then they have very similar slopes, and both go the same direction.

Sorry that I can't give you an absolute answer.

Hope that this helps!

Consider the figure to the right.
T
Given: CT PM, CT 1 PM
Prove: CA - MA
А,
P4
M
Shown below are the statements and reasons for the proof.
They are not in correct order.
Statements
Reasons
1.
ACAT AMAP
AAS
II.
LCAT ZPAM
Vertical Angles Theorem
III.
CT & PM, CT || PM
Given
IV.
CAMA
CPCTC
V.
LCTA E LMPA
Alternate Interior Angles Theorem.
Which of these is the most logical order for the statements and reasons?
(А.
I, II, III, IV, V

Answers

Answer:B

Step-by-step explanation:

Just did it on math nation

The most logical order for the statement and reasons III, II, V, I, IV. Therefore, option B is the correct answer.

CP=PM, CT||PM   (Given)

∠CAT=∠PAM (vertical angles theorem)

∠CTA=∠MPA (Alternate interior angles theorem)

ΔCAT≅ΔMAP (AAS)

CA=MA (CPCTC)

The most logical order for the statement and reasons III, II, V, I, IV. Therefore, option B is the correct answer.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

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How do I do this problem

Answers

Answer:

The Ross family used it for 15 hours

The Watson family used it for 20 hours

Step-by-step explanation:

We can rewrite this word problem using variables.

[tex](x*40)+(y*20)=1000[/tex] and [tex]x+y=35[/tex]

Now we can split 35 between x and y. Since 35 can't be split into a whole number, I have split it into 17 and 18

(17*40) + (18*20) = 1040

This is close but 40 too much. Since this is 40 off, we need to move 2 more hours to the Watson family.

(15*40) + (20*20) = 1000

This means -

The Ross family used it for 15 hours

The Watson family used it for 20 hours

Learning task 3
What polygon is being described in the picture

Answers

There isn’t a picture, can you post one?

Are the ratios 4:1 and 14:3 equivalent?

Answers

Answer:

False

Step-by-step explanation:

NO they are not equivalent

You want to take 12 shirts, but you can only fit 3 in your suitcase. How many different ways can you choose shirts to pack?

Answers

Answer:

220 ways.

Step-by-step explanation:

This can be gotten by using the formula of combination in statistics.

The formula for combination is given below

nCr = n! / r!(n - r)!, where

r = total number of object, and

n = number of objects we're choosing from

Applying this to the question we have

12C3 = 12! / 3!( 12 - 3)!

12C3 = 12! / 3! * 9!

12C3 = 220

Therefore, we can choose to pack the shirts in 220 different ways

PLZZ HELP WITH THIS HOMEWORK

Answers

These are the answers to it

If f(x)= -9x+12, then f(20)=__

What is the answer?

Answers

Answer:

-168

Step-by-step explanation:

if this is right but hopefully

what does the word "solution" mean has to be in your own words please help ​

Answers

Answer:

an answer to a problem

Step-by-step explanation:

What are the transformations?
y=(x-2)2+4 (Choose ALL that apply.)

Answers

Answer:

There is a vertical stretch when I graphed it.

Step-by-step explanation:

Hope this helps:)

A lighthouse can light up to 40 miles away through an angle of 125 degrees. What area can the lighthouse light? Round your answer to the nearest tenth.

Answers

Answer: 12

Step-by-step explanation:

PLEASE HELP 50 POINTS
The angle measurements in the diagram are represented by the following expressions.

Answers

Answer:

30°

Step-by-step explanation:

A and B are same side interior angles and hence supplementary:

m∠A + m∠B = 180°

Substitute values and solve for x:

6x - 18 + 14x + 38 = 18020x + 20 = 18020x = 160x = 160/20x = 8

Find the measure of ∠A:

m∠A = 6*8° - 18° = 30°

Question (point
Find the volume of the pure below leave in terms of IT for answers that contain T Round your answer to the nearest hundredthir
necessary
811
101
214.21 10
186,67
115.78
Od
560
Question 61 point)

Answers

Answer:

186.67 ft³

Step-by-step explanation:

Volume of a pyramid

= [tex]\frac{1}{3} [/tex] × base area × height

The volume of the pyramid

[tex] = \frac{1}{3} \times (8 \times 10) \times 7[/tex]

[tex] = \frac{1}{3} \times 80 \times 7[/tex]

[tex] = 186.666...[/tex]

= 186.67 ft³ (rounded to the nearest hundredth)

Which of these tables represents a function?

Answers

Answer:

Table W represents a function

Step-by-step explanation:

Mathematically, for us to have a function , no two y-values can take a single x value

But it is possible that two x-values have a single y value

So let us make a selection from the table

We have the correct option as;

W

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