(x-4)^2=25 by taking the square root

Answers

Answer 1

Answer:

x = -1, 9

Step-by-step explanation:

[tex](x-4)^2=25\\x-4=\sqrt{25}\\[/tex]

x - 4 = ±5 (positive or negative 5, because (-5)^2 = 25)

x - 4 = 5

x = 9

or

x - 4  = -5

x = -1

x = -1, 9


Related Questions


A flower bed has the shape of a rectangle 8 yards long and 3 yards wide. What is its area in square feet?

Answers

Answer:

the answer is 216 square feet because if you multiply 8 ×3=24 and 24×9=216.

The following problem describes procedures that are to be applied to numbers. Repeat the procedure for four numbers of your choice. Write a conjecture that relates the result of the process to the original number selected. Select a number. Multiply the number by 88. Add 88 to the product. Divide this sum by 44. Subtract 2 from the quotient.

Answers

Answer:

Conjecture: For every number x, the result of the is 2x

Step-by-step explanation:

First Number: 8

Multiply by 88: [tex]88 * 8 = 704[/tex]

Add 88: [tex]704 + 88 = 792[/tex]

Divide by 44: [tex]792/44 = 18[/tex]

Subtract 2: [tex]18 - 2 = 16[/tex]

Second: 10

Multiply by 88: [tex]88 * 10 = 880[/tex]

Add 88: [tex]880+88=968[/tex]

Divide by 44: [tex]968/44=22[/tex]

Subtract 2: [tex]22-2=20[/tex]

Third: 5

Multiply by 88: [tex]88*5 = 440[/tex]

Add 88: [tex]440+88=528[/tex]

Divide by 44: [tex]528/44=12[/tex]

Subtract 2: [tex]12-2=10[/tex]

Fourth: 2

Multiply by 88: [tex]88*2=176[/tex]

Add 88: [tex]176+88=264[/tex]

Divide by 44: [tex]264/44=6[/tex]

Subtract 2: [tex]6-2=4[/tex]

On a general terms:

Let the number be x.

Multiply by 88: [tex]88x[/tex]

Add 88: [tex]88x + 88[/tex]

Divide by 44: [tex]\frac{88x + 88}{44} = \frac{88x}{44} + \frac{88}{44} = 2x+2[/tex]

Subtract 2: [tex]2x + 2 - 2 = 2x[/tex]

Notice that for every input x, the result is 2x

What is the equivalent measure of 2.8 grams in hectograms?

Answers

Answer:

0.028 hectograms

Step-by-step explanation:

1 gram = 0.01 hectograms

a number y divided by 6 is no more than 2​

Answers

Try 2 if i am wrong then please do correct me

Answer:

2

Step-by-step explanation:

Given a right triangle ABC, if the measure of angle A is 77', and cos (77) = sin(0).
what is the value of 0 ?

Answers

Answer:  Theta = 13 degrees

==========================================================

Rule:

If cos(A) = sin(B), then A+B = 90

This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.

Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.

The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.

-------------------------

Using that rule, we can say

cos(77) = sin(theta)

leads to

77+theta = 90

and that solves to

theta = 90-77 = 13

what is 0.46 as a fraction in simplest form, a fraction of 100, and a percent​

Answers

Answer:

46/100

23/50

46%

Answer:

bleh

Step-by-step explanation:

so that da other guy can get brainliest

22. Write the inequality for the graph shown below.


Help. Please.

Answers

The inequality is y greater or equal to -3/2x + 1

Steps are on paper
If you need more explanation about this, comment

-3/10 + 5/20
Simplify if needed etc
Brainliest

Answers

the answer is to this question is -1/20

Answer:

-1/20

look at the pic i have sent you, this might help you!

Courtney sold 48 cantaloupes at the farmers' market and had 23 left. Which equation could be used to find x, the number of cantaloupes Courtney had originally?

Answers

Hi there!

48-x=23

23+x=48

those would be the equatipns to find x....

Answer:

uwu

Step-by-step explanation:

uwu

Help please pls pls pls

Answers

Answer:

The right answer is  neither

Step-by-step explanation:

I said because Exponential describes a very rapid increase. ... Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. the part involves exponent is the y part same number multiple to it self to get the next answer  while the x part one specific number to get the next number which is linear but since theyre asking about the relationship it’s neither because both were supposed to have the same relationship linea for x and y or exponential for x and y but they both are different.

What is the slant height for the given pyramid to the nearest whole unit height

Answers

Answer:

Step-by-step explanation:

The blue section is a right triangle. Use the Pythagorean Theorem to find the hypotenuse.

base of right triangle = 6 cm

height of right triangle = 8 cm

hypotenuse = √(6²+8²) = √100 = 10 cm

using digits 3,6,1 and 5 write the greatest decimal number less than 1 that can be formed without repeating any digit. write it in words​

Answers

0.6531
Six tenths, five hundredths, three thousandths, one ten thousandth.

Find the area of the shaded region.
4cm
5cm
step by step plz​

Answers

Here's the same answer I got on my question that you so helpfully "answered":

uhvvcefjjydchtrrsxikngg

Find the value of x.

Answers

Answer:

I think the answer is x=120

Asking for a friend please help

Answers

Answer:

=1/15

Step-by-step explanation:

this is the answer is = 1/15 hope this helps your friend out!

In an Arithmetic progression, if d= -4, n=7, an=4, then find a.​

Answers

Answer:

a = 28

Step-by-step explanation:

[tex] a_n = a + (n-1) d[/tex]

[tex] 4 = a + (7-1) (-4)[/tex]

[tex] 4 = a + 6 (-4)[/tex]

[tex] 4 = a - 24[/tex]

[tex] 4 +24= a [/tex]

[tex] a = 28[/tex]

3 cos 2x + Sinx = 1 for
0° ≤x ≤ 360​

Answers

Answer:

x = 41.81°, 138.19°, 210°, 330°

Explanation:

3cos(2x) + sin(x) = 1

subtract one from both sides

→ 3cos(2x) + sin(x) − 1 = 0

rewrite using trigonometry identities

→ 2 + sin(x) − 6sin²(x) = 0

solve x by substitution

f(x) = 2 + sin(x) − 6sin²(x)

= 2 + 4sin(x) - 3sin(x) − 6sin²(x)

= −2sinx(3sinx −2) − (3sinx−2)

= (3sinx −2)(−2sinx−1)

= −(3sinx −2)(2sinx+1)

f(x) = 2 + sin(x) − 6sin²(x) = 0

= −(3sinx −2)(2sinx+1) = 0

(3sinx −2) = 0 (2sinx+1) = 0

→sinx = 2/3 →sinx = −1/2

x = 41.81°, 138.19° x = 210°, 330°

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

On Monday morning, Mr. Descartes asked his Algebra II students whether they had gone to the carnival in town over the weekend.

"I did," said Kristen. "I went on the Teacups ride twice, the rollercoaster twice, and the Spinning Vortex once. I had a lot of fun for only $20."

"I went on those rides, too!" exclaimed Jorge. "Just once each on the Teacups and rollercoaster, but three times on the Spinning Vortex, all for $25."

"I did five Teacup rides," said Lakesha. "And two rollercoaster rides, and one Spinning Vortex. I spent $29."

Marc listed off the same rides. "Three Teacups for me, plus two rollercoasters, plus two rides on the Spinning Vortex, all for – "

"You don't need to say," interrupted Mr. Descartes. "I know how much you spent."

How much are the rides? How much did Marc spend

Answers

Answer:

Cost of one Teacup =  $3

Cost of one Roller coaster =  $4

Cost of one Spinning Vortex = $6

Marc spent = 3x + 2y + 2z = $29

Step-by-step explanation:

Let

Cost of one Teacup = x

Cost of one Roller coaster = y

Cost of one Spinning Vortex = z

In Kristen case -

2x + 2y + z = $20

In Jorge case -

x + y + 3z = $25

In Lakesha case -

5x + 2y + z = $29

In Marc case -

3x + 2y + 2z = ?

Now, we have

2x + 2y + z = $20       ......(1)

x + y + 3z = $25         ........(2)

5x + 2y + z = $29      .........(3)

Now,

Subtract equation (1) from equation (3), we get

5x + 2y + z - ( 2x + 2y + z ) = $29 - 20

⇒5x + 2y + z - 2x - 2y - z  = $9

⇒3x = $9

⇒x = $3

Now,

Multiply be 2 in equation (2) , we get

2x + 2y + 6z = $50        ........(4)

Now,

Subtract equation (1) from equation (4), we get

2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20

⇒2x + 2y + 6z - 2x - 2y - z  = $30

⇒5z = $30

⇒z = $6

Now,

Put the values of x and z in equation (2) , we get

$3 + y + 3($6) = $25

⇒$3 + y + $18 = $25

⇒y + $21 = $25

⇒y = $25 - 21

⇒y = $4

∴ we get

Cost of one Teacup = x = $3

Cost of one Roller coaster = y = $4

Cost of one Spinning Vortex = z = $6

Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29

Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?

ANSWERS ARE:

2/3<1/2; I used 1/2 as a benchmark.
1/2=3/5; I used 1/4 as a benchmark.
2/3<9/10; I used 3/4 as a benchmark.
3/4<2/3; I used 1/2 as a benchmark.

Answers

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

6+8 times x please anwserrrr

Answers

Answer:

2(3+4x)

Step-by-step explanation:

plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

for 7 its r and u and r and s. and for 8 its all.

Step-by-step explanation:

In a survey, 150 seventh graders said that they had been to a foreign country. That number represented 20% of the students who were surveyed. How many students were surveyed?

Answers

Answer:

750

Step-by-step explanation:

150/2=7.5

7.5*100=750

750*0.2=150

5% of a number is 23​

Answers

Answer:

460

Step-by-step explanation:

5%(calculated %)of what number equals 23?

Answer is 460

I hope it's helpful!

460 is the answer of the question

h(t)= 50- t/5
h(35)=

Answers

Answer:

h(35) = 43

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(t) = 50 - t/5

h(35) is t = 35

Step 2: Evaluate

Substitute in t:                                                                                                h(35) = 50 - 35/5Divide:                                                                                                             h(35) = 50 - 7Subtract:                                                                                                          h(35) = 43

the park is 3 miles long and 2 miles wide. manuel walked around the park two times. how many miles did he walk in all?

(im pretty sure im wrong but is the answer 12?)

Answers

Answer:

20 miles.

Step-by-step explanation:

You're on the right track with your answer of 12. You added the sides you knew & multiplied by 2.

I'm picturing the park like a rectangle. So there are two sides that are 3 miles long, and 2 sides that are 2 miles long. For perimeter, we add all the sides.

3 + 3 + 2 + 2 = 10. And he walked the park twice, so 2 x 10 = 20

Heres a challenge!! Marking most Brainly:)))

Answers

Answer:

(30, 90) is a viable solution

(50, 160) is a nonviable solution

Step-by-step explanation:

5.16=4n please hurry I need the answer

Answers

Answer: n = 1.29

good luck

Write the equation for the perpendicular bisector of a segment that has endpoints (1, –4) and (3, 2).

Answers

Answer:

y = -⅓x-⅓

Step-by-step explanation:

Anybody know how to do this??

Answers

Answer:

Second option: x= (23.5)(1.18)

Step-by-step explanation:

It has the total and the 1 for the tip to include the original price.

Answer:

option 2:- x= (23.5)(1.18)

Step-by-step explanation:

it includes the whole amount plus the tip to be paid after dinner..

Instant brainliest please help.

Answers

Answer:the second one

Step-by-step explanation:

The second one is the answer
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