What are the solutions to the equation (x+5)2=32 ?

Answers

Answer 1

Answer:

x = 11

Step-by-step explanation:

(x+5)2 = 32

2x + 10 = 32

2x = 32 - 10

2x = 22

x = 11

Answer 2

Answer:

x = - 5 ± 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

(x + 5)² = 32 ( take the square root of both sides )

x + 5 = ± [tex]\sqrt{32}[/tex] = ± 4[tex]\sqrt{2}[/tex] ( subtract 5 from both sides )

x = - 5 ± 4[tex]\sqrt{2}[/tex] , then

x = - 5 - 4[tex]\sqrt{2}[/tex] , x = - 5 + 4[tex]\sqrt{2}[/tex]


Related Questions

Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y intercept at 0,3

Answers

Answer:

Line AB

Step-by-step explanation:

The line is on crosses thru the exact points so its right.

What is the product of 7x-4 and 8x+5?​

Answers

Answer:

15x+1

have a nice day

Answer:

5x+1 is the answer for your question

You are in a store shopping, you see two nice shirts, one is 50% off, the regular price of $45.50 and the other is 30% of $35, which one is cheaper?

Answers

Answer:

The answer would be the second option

Step-by-step explanation:

first option 45.50/2 = 22.75

second option would be 10.75

so the second option is correct

Which ordered pairs make both inequalities true? Select two options

Answers

Answer:

there isn't any options

Which of the following equations could be used to find the value of 3,550 ÷ 25?
A. (3,000 + 500 + 50) ÷ 25 = 140
B. (550 + 20) ÷ (3,000 + 5) = 140
C. (3,000 + 500 + 50) ÷ 25 = 142
D. (300 + 50 + 5) ÷ 25 = 142
E. (3,000 ÷ 25) + (550 ÷ 25) = 142
F. (550 ÷ 20) + (3,000 ÷ 5) = 140

Answers

Answer:

A is correct answer

Step-by-step explanation:

[tex](3000 + 500 + 50) \div 25 \\ [/tex]

[tex](3550) \div 25[/tex]

[tex] = = > 3550 \div 25[/tex]

Thanks

Don't forget to tell the name of your country.

write the expression in expanded form
3h^3(k+3)^2

Answers

Answer:

3h³k² + 18h³k + 27h³

Step-by-step explanation:

Given

3h³(k + 3)² ← expand factor using FOIL

= 3h³(k² + 6k + 9) ← distribute parenthesis

= 3h³k² + 18h³k + 27h³

a prop for a school musical is cut from a sheet of cardboard. the shape is shown in the picture, what is the area of the shape?

Answers

Answer:

32

Step-by-step explanation:

area of rectangle: 6*4=24

area of top triangle: 4*2=8

24+8=32 total area

FAST PLEASE HELP MEEE: At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays either a string or brass instrument?
P(AUB)={?}

Answers

Answer:

10/11

Step-by-step explanation:

35 stringed , 5 string and brass, 10 brass, 5 play neither string nor brass

P (A or B ) = students that play string or brass / total number of students = 35+5+10/ 35+5+10+5 = 50/55 = 10/11

How many solutions exist for the system of equations below? ​

Answers

Answer:

No solution or none

Step-by-step explanation:

3x+y=18 equation 1

3x+y=16 equation 2

-3x-y=-18 multiply equation 1 by -1

0=-2 add above 2 equations

no solution or none

if the equation y=-4x+b represents the line that passes throught the point (1,4) determine the value of the y-intercept

Answers

Answer:

y-intercept (0, 8)

Step-by-step explanation:

Plug in (1,4) --> (x,y) and solve for b (y-intercept):

y = -4x + b

4 = -4(1) + b

4 = -4 + b

b = 8

Therefore the y-intercept is (0, 8)

The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?

Answers

Given:

The area of a flower garden is 60 m².

One third of it was used for growing roses and the remaining area was divided into two equal parts.

To find:

The area of each remaining part.

Solution:

It is given that the area of a flower garden is 60 m² and one third of it was used for growing roses. So, the remaining part is:

[tex]\text{Remaining}=60-\dfrac{1}{3}\times 60[/tex]

[tex]\text{Remaining}=60-20[/tex]

[tex]\text{Remaining}=40[/tex]

The remaining area was divided into two equal parts. So, the area of each remaining part is:

[tex]\text{Area of each remaining part}=\dfrac{40}{2}[/tex]

[tex]\text{Area of each remaining part}=20[/tex]

Therefore, the area of each remaining part is 20 m².

SOMEONE PLEASE HELP MEEEE

Answers

Answer:

[tex]-180^{\circ}[/tex]

Step-by-step explanation:

Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.

Answer:

-180 because its through 0

hope this helps!

What number is 16% of y?

Answers

Answer:

0.16y

Step-by-step explanation:

16% of y is found by substituting 0.16 for 16% and then multiplying y by 0.16:

0.16y

0.16y

when you get the value of why you can then find the answer by multiplying the value of y by 16 and divide the answer by 100

Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.

How many quarts of fertilizer are left?

Answers

Joseph would have 81 quarts of fertilizer left

The solution is:

48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

The directions say to use 4/5 of a quart of fertilizer for each acre of land.

Alan has two fields,

Field 1

22 1/2 acre of land

1 acre of land = 4/5 quart

22 1/2 acre of land = x

Cross Multiply

x = 22 1/2 × 4/5

x = 45/2 × 4/5

x = 18 quart of fertilizer

Field 2

38 1/4 acres of land

1 acre of land = 4/5 quart

38 1/4 acre of land = x

Cross Multiply

x = 38 1/4 × 4/5

x = 153/4 × 4/5

x = 30.6 quart of fertilizer

The total fertilizer that Alan will need for his two fields is calculated as:

18 quart of fertilizer + 30.6 quart of fertilizer

= 48.6 quart of fertilizer

Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ3

complete question :

alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?

What is the slope of this equation? Y=1/3x+4

Answers

The slope to this equation would rise 1 and run 3 starting at 4 on the y axis. In other words go up 1 and to the right 3 for each point you put down.

Answer:

slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b?

How can Victoria justify Step 3 of her work?

Answers

Answer:

ans: x= 1/(a-b)

Step-by-step explanation:

given equation is

ax = bx + 1

to isolate x , take bx to left side

or,

subtract bx on both sides , I.e

ax - bx = 1

x( a- b) = 1

x = 1/(a- b)

4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?

Answers

Answer:

936 girls at the school

Step-by-step explanation:

4/7 of 2184 = 1248

2184-1248 = 936

Happy learning! Please mark brainliest!

--Applepi101

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Delete this answer, I was solving for area

Answer:

v= 100

Step-by-step explanation:

V=a2h/3

v= 15*(20/3)

v= 15*6.6

v=100

hello pls help me I NEED ANSWERS WRIGHT AWAY​

Answers

Answer: 1.radius: 5.5

Diameter: 11ft

Area : 2pi (r)^2 = 2 pi (5.5)^2=190.06

2. Radius : 65

Diameter:130

Area : 2pi (65)^2= 8450 pi

3. Radius :28

Diameter:56

Area:1568 pi

Step-by-step explanation:

Select ALL the functions whose graphs include the point (16, 4).

Answers

Answer:

D

Step-by-step explanation:

x=16

y=4

4=16-12

4=4

Answer:

D

Step-by-step explanation:

Fast Rental Services and Red Rent Services provide rental cars. Fast Rental Services charges a flat fee of $4.50, plus $0.75 for every mile traveled. On the other hand, Red Rent Services charges a flat fee of $7.50, plus $0.65 for every mile traveled. Which equation could be used to find the distance, d, when the cost of renting the cars from both the companies are the same?

Answers

Answer:

4.50+.75d=7.50+.65d

Step-by-step explanation:

Y=4.50+.75d equation 1

y=7.50+.65d equation 2

4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1

.10d=3.00 simplify equation

d=30

check answer by subbing 30 for d into each equation.

y=4.50+.75(30)

y=4.50+22.50

y=27

y=7.50+.65(30)

y=7.50+19.50

y=27

both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent

Rationalize the denominator and simplily.​

Answers

Answer:

( (√ a+ 1) − 2 ) ^2/a-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a-b)² = a²-2ab + b²

(a+b)(a-b)=a²-b²

[tex]\frac{\sqrt{a+1} -2}{\sqrt{a+1}+2}= \frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2 )}{(\sqrt{a+1}+2 )(\sqrt{a+1}-2)}\\\\[/tex]

             [tex]=\frac{(\sqrt{a+1}-2 )^{2}}{(\sqrt{a+1} )^{2}-2^{2}}\\\\=\frac{(\sqrt{a+1})^ {2}-2*\sqrt{a+1}*2+2^{2} }{a+1-4}\\\\=\frac{a+1 - 4\sqrt{a+1}+4 }{a-3}\\\\=\frac{a+5-4\sqrt{a+1} }{a-3}[/tex]

Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
11
35

Answers

Answer:

its 10 because chu papi munenu

The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals

Answers

Answer:

2x+6

Step-by-step explanation:

answer is in the photo above

¿Cuál es la expresión algebraica que representa el área sombreada en la siguiente figura?

Answers

La respuesta es : 10x + 4

La fórmula para el área sombreada es:

((x + 3) (2x + 1)) - (x (2 x-3)).

Simplificar

(2x ^ 2 + 7x + 4) - (2x ^ 2 -3x).

Sustraer

= 10x + 4

Two boys and 3 girls were selected for the finals of a dance contést. One of the three different prizes marked A. B and C will be randomly awarded to the 5 contestants whose name is selected to win. Find the probability that the boy will win the prize marked B?

Answers

Answer:

2 boys and 3 girls were selected for the finals.

There are 3 prizes, A, B, and C (assigned in order, I suppose) assigned randomly to the five contestants.

We want to find the probability that a boy wins the prize B.

So here we have two cases:

A girl wins the first prize, A, and a boy the prize B.

The probability that a girl wins the prize A is equal to the quotient between the number of girls and the total number of contestants, this is:

p = 3/5

Next, the probability that a boy wins the prize B, is equal to the quotient between the number of boys and the total number of contestants (that now is 4, because a girl already won prize A).

q = 2/4

The joint probability is:

P = p*q = (3/5)*(2/4) = 6/20 = 3/10

Now we have the other case, where a boy wins the prize A and the other boy wins prize B.

The probability that a boy wins prize A is equal to the quotient between the number of boys and the total number of contestants, this is:

p = 2/5

The probability that the other boy wins prize B is equal to the quotient between the remaining number of boys (1) and the total number of contestants (now 4), this is:

q = 1/4

The joint probability is:

P' = p*q = (2/5)*(1/4) = 2/20 = 1/10

The total probability is the sum of the probabilities for the two cases, this is:

Probability = 1/10 + 3/10 = 4/10

(note that because the prize C is assigned after prize B, its existence does not affect the probability for the previous event, as expected)

pq(r²-1)-r(p²+q²) factorize​

Answers

Answer:

pqr2-pq-p2r-rq2 is the answer

Answer:

Step-by-step explanation:

pq(r^2 - 1) - r(p^2 + q^2)

multiply the brackets

=pq*r^2 - pq*1 - r*p^2 - r*q^2

=pqr^2 - pq - rp^2 - rq^2

=pqr^2 -rp^2 -rq^2 -pq

Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).

Answers

Answer:

y = -2/3x - 11/3

Step-by-step explanation:

Which equation represents "the sum of eight times a number and seven is twice the number"?

8N + 7 = 2N
8N = 7 + 2N
8 (7 + 2N)
7N + 8 = 2N

Answers

The answer is 8N+7=2N
A - 8n + 7 = 2N - due to the question

If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?

Answers

Answer:

8 Months to read 24 Books

Answer:

240

Step-by-step explanation:

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