Mathematics High School

(x+5)²=32
find the solution
justify answer ​

Answers

Answer 1

Answer:

x = -5 ±4sqrt(2)

Step-by-step explanation:

(x+5)²=32

Take the square root of each side

Sqrt((x+5)²)=±sqrt(32)

x+5 = ±sqrt(16*2)

x+5 = ±4sqrt(2)

Subtract 5 from each side

x+5-5 = -5 ±4sqrt(2)

x = -5 ±4sqrt(2)

Related Questions

The library has 215 new books 155 of those books already have been put on shelves .the rest of the books are divide equally amount 5 boxes

Answers

Answer:

Ok to do this question we must first put it into a algebraic equation.

215=5x-155

This is are equation. lets first get rid of the 155 by adding it to the 215 which is 370.

370=5x

Ok now we will divide 370 by 5 which is 74.

x=74

Your Welcome

BIFFY OUT!!!

How to do these questions step by step

Answers

Answer:

Only for question 1

Step-by-step explanation:

The answer is

When numbers with indices are being multiplied together, the indices act as if its being added together whereas if you multiply the indices together then it would multiply them all

HELP ASAP

Jim went to the bank and made of a deposit of $525 into his checking account. He had both cash and a check. The check he deposited was written for $250. How much cash did he deposit? Construct an equation to represent the situation. Make sure to identify and label your variable. Solve for the variable and describe your answer. Show your work and prove your solution to be correct.

Answers

775 is your answer I’m sure
Equation to represent situation : x = d - c

Amount of Cash deposited = $275

For this equation, you are looking to find the amount of cash specifically withdrawn. The ‘x’ variable represents this.

The ‘d’ variable represents the total deposit amount, which is $525.

And the ‘c’ variable represents the check amount that was deposited.

All you have to do to solve it is replace the variables with the numbers provided.

x = 525 - 250

x = 275

Find the solution to the system
of equations (look at picture)
answer both please

Answers

Answer:

(-1, 1)

Step-by-step explanation:

(-1, 1) is the solution to this system of equations because it is the point of intersection. If you would want to solve this algebraically, you would need to use the equations of each line.

Answer:

the answer is (-1,1)

i think we needed to calculate the coordinates

hope it helps

A cone-shaped section is cut out of a cubic block of wood as shown. What is the volume of wood left after the cone is removed? Round to the nearest tenth.
12cm
12cm
12cm
Answers:
A. 371.5 in^3
B. 452.2 in^3
C. 1275.6 in^3
D. 1728.0 in^3

Answers

Answer:

Its A

Step-by-step explanation:

Its A

the slope of the line

Answers

Answer: -2

Explanation:  On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]

Simplified that is -2 which is the slope of the line

Sarah uses 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries does she need to make one cup of jam

Answers

Answer:

1/12

Step-by-step explanation:

i belive this is the answer

The shortest side of an isosceles triangle is labeled, in inches, in the triangle below. The two longer sides are 6 inches longer than the shortest side. The perimeter of the triangle is 33 inches.

Answers

Complete question is;

The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.

Answer:

Shortest side = 7 inches

Side 2 = 13 inches

Side 3 = 13 inches

Step-by-step explanation:

We are told that;

Triangle is isosceles

The shortest side is 2x - 3 inches

The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;

Side 2 = side 3 = 2x - 3 + 6 = 2x + 3

Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;

(2x - 3) + 2x + 3 + 2x + 3 = 33

6x + 3 = 33

6x = 33 - 3

6x = 30

x = 30/6

x = 5

Thus;

Shortest side = 2(5) - 3 = 7

Other 2 sides are each; 2(5) + 3 = 13

Pls help me I don’t understand this!!!!

Answers

Answer: D

Step-by-step explanation:

D The angle agacent to arc ML is half the degree. Your answer is 118

Answer:

D

Step-by-step explanation:

angle J is a circumference angle that insists on arc ML. the measure the angle  of this arc is double of it

59 * 2 = 118 degrees

100 points

This system of inequalities models the scenario:

2x + y ≤ 8
x + y ≥ 4

Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set.

Answers

Answer:

Solution set include (1,5), (1,4)

Step-by-step explanation:

To solve, you would have to graph both lines, and shade, the sections that are applicable. For Example is if it tells you the 2x+y is less than or equal to 8, you would shade it.

The Solution set would be anything in the overlapping area between both line's shades.

Using the graph as your guide, complete the following statement.
The discriminant of the function is A. zero
B. negative
C. positive

Answers

Answer:

Step-by-step explanation:

The discriminant tells you where the graph of the parabola goes through the x-axis, if at all. If the discriminant is negative there are no real zeros and the parabola does not cross or touch the x-axis; if the discriminant is positive the parabola will go through the x axis in 2 places; if the discriminant is 0 the parabola will touch the x-axis in 1 place. Our discriminant is 0 since the parabola only touches the x-axis but does not go through.

Hi! can someone help?

Answers

Answer:

129

Step-by-step explanation:

[tex]\frac{5^{4} }{5} +4[/tex]

[tex]\frac{625 }{5} +4[/tex]

[tex]125 +4[/tex]

129

20 points!!! Tysmmm!! If you can help with other questions on my page to that would mean so much

Answers

Answer:

(2w+2)(w+8) ≤ 100

Step-by-step explanation:

Answer:

●(2w+2)(w+8)< 100 represents the inequality that combined the area of Garden and walk away.

Step-by-step explanation:

this is correct!!

On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.

Answers

Answer: A)  h > 3

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

Explanation:

h = number of hours past 7 pm

20h = the number of glasses sold after h hours

20h+180 = adding on the 180 glasses already sold

20h+180 > 240 is the inequality to set up

Let's solve for h

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

20h+180 > 240

20h > 240-180

20h > 60

h > 60/20

h > 3

They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.

The earliest that they can close is 11 pm (since 4+7 = 11).

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

If h = 3, then

20h+180 = 20*3 + 180 = 240

meaning that they haven't reached their goal of getting over 240

So they have to stay open that extra hour to get past 240.

Find the roots of the quadratic equation (4p-1)² = 4p²

( Please show me how it works , Thankiuuu ༎ຶ‿༎ຶ )​

Answers

Answer:

p = 1/2

Step-by-step explanation:

(4p - 1)^2 = 4p^2

(4p - 1)^2 =(2p)^2

4p - 1 =[tex]\sqrt{(2p)^2}[/tex]

4p - 1 =2p

4p - 2p =1

2p = 1

p =1/2

A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10. She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390. If she sells four times as many orchid bouquets as rose bouquets, how many flowers does she sell altogether?

Answers

Answer:

270 flowers total she sell Together.

Step-by-step explanation:

According to the Question,

Given, A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10.

Let, x = number of orchid bunches & y = number of rose bunches.

Now, She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390

Therefore, 25x + 30y = 390 ⇒⇒ Equation 1  

she sells 4 times as many orchid bunches as rose bunches,

Therefore,  x = 4y  ⇒⇒ Equation 2

Put The Value Of Equation 2 in Equation 1, We get

25 × (4y) + 30y = 390  

100y + 30y = 390

130y = 390  ⇔ y = 390 / 130 ⇒ 3  

if y = 3, then x = 4y must be equal to x= 12.

Thus, she sold 12 orchid bunches and 3 rose bunches.

Verify, 25x + 30y = 390 ⇔ 12 × 25 + 3 × 30 = 390 (All okay)

Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.

12 × 20 + 3 × 10 = 240 + 30 ⇔ 270 flowers total she sell Together.

can someone please help

Answers

Answer:

Concurrent as my perception

Pls help I would APPRECIATE IT

Answers

I don’t really know for but I think the answer is B

What property was used in step 1 to arrive at step 2?

Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
distributive property
addition property of equality
subtraction property of equality
division property of equality

Answers

Answer:

distribute property

Step-by-step explanation:

5 is distributed into the parentheses.

5 × x = 5x

5 × (-7) = -35

5x - 35 = 55

Hope that helps.

The property used in step 1 to arrive at step 2 is the Distributive property, the correct option is A.

What is a Product?

Product is the output of the mathematical operation Multiplication.

The Step 1: 5 (x minus 7) = 55.

Step 2: 5 x minus 35 = 55

In step 2 Distributive property is used to solve the expression.

According to Distributive property

The sum of multiplying a number by the addend of two numbers will the same result when each number which is being added is multiplied individually and then added.

a ( b+c) = a*b + a*c

5 (x -7) = 55.

5x - 35 = 55

Therefore, the distributive property is used.

To know more about Distributive Property

https://brainly.com/question/5637942

#SPJ5

PLEASE help !! someone who knows fr ! pls

Answers

Answer:

It is the first option

Step-by-step explanation:

what is 0.00051 convert in standard form​

Answers

The answer is:

5.1 x [tex]10^-4[/tex]

Answer: 5.1x10^-4

Step 1: Rewrite number

0.00051

Step 2: Make the number smaller

0.00051 can be used in scientific notation once you move the decimal. The decimal needs to be moved so that the number is between 1 and 10. When moving the decimal 4 places to the right, the number can be left at 5.1.

Step 3: Write in standard form

The number on the left side of the multiplication side will be the number that we made smaller. In this case, it is 5.1. The exponent next to the 10 will be of how many places the decimal was moved. This is -4. The negative sign is used since the decimal was moved to the right.

5.1 x 10^-4

Which measure of center best represents the data?

8,8,7,8,8,8,1,8,8

Answers

Answer:

8

Step-by-step explanation:

The median is 8 since 8 is the most common number

The answer is 8 because it’s the most used one there ‍

pleaseeeee helppp meee!!!

Answers

Answer: 32x-48 should be your answer

Step-by-step explanation:

Answer:

32x - 48

Step-by-step explanation:

-4(-8x + 12)

= -4 × (-8x) + (-4) × 12

= 32x + (-48)

= 32x - 48 (Ans)

Draw the graph of y = 2x + 1

​

Answers

Hoped that I helped you :)

Answer:

Step-by-step explanation:

Representa en notación científica 0.00000345

Answers

Answer:

3.45×10^-6

Step-by-step explanation:

Crea el decimal usando los últimos 3 números: 3.45

Multiplica por 10 a la negativa potencia del número de ceros: 10^-6

simplify 16^x+1 +20(4^2x)/2^x-3 8^x+2

Answers

the answer is in the attachment

Hope it helps

a)
2(x + 3) = x-4
Can someone help me pls...??

Answers

Answer: -10 :))))

i hope this helps

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

i think it is A

Step-by-step explanation:

Answer:

its A between -9 and -10

Step-by-step explanation:

wats the answer of 3/4 of 7/15​

Answers

Answer:

3/4 × 7/15 =7/20

just multiplication

First you have to multiply the numerators so 3 x 7 is equal to 21 and then you will multiply the denominators so 4 x 15 is equal to 60. The last step is to devide the first ansewr you got by the second ansewr you got as shown 21/60 whis is equal to 0.35 so the ansewr is 0.35

rationalising factor of 5 +root 7

Answers

Answer:

Therefore, lowest rationalizing factor is ( 7 + √7 ).

Step-by-step explanation:

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Answer:

5 - [tex]\sqrt{7}[/tex]

Step-by-step explanation:

To rationalise the factor multiply by the conjugate factor

The conjugate of 5 + [tex]\sqrt{7}[/tex] is 5 - [tex]\sqrt{7}[/tex] , then

(5 + [tex]\sqrt{7}[/tex] )(5 - [tex]\sqrt{7}[/tex] ) ← expand using FOIL

= 5² - ([tex]\sqrt{7}[/tex] )²

= 25 - 7

= 18

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