WILL MARK BRAINLIEST
If a + b = 10, and ab = 16, then find the value of the following: i .a2 + b2 ii. a3 – b3

Answers

Answer 1

Answer:

a² + b² = 68

a3 + b3 = 520

Step-by-step explanation:

Given :

a + b = 10 (1)

ab = 16 (2)

A. Find a² + b²

(a + b)² = a² + 2ab + b² (3)

Substitutite the values of (1) and (2) into (3)

(10)² = a² + 2(16) + b²

100 = a² + 32 + b²

Subtract 32 from both sides

100 - 32 = a² + b²

a² + b² = 68

B. a^3 + b^3

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

(10)^3 = a^3 + b^3 + 3*16(10)

1000 = a^3 + b^3 + 480

a^3 + b^3 = 1000 - 480

a3 + b3 = 520


Related Questions

Please Help Thank You So Much

This is inequalities

Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of:
b). y − x
d). y / x

You don't need a graph to solve this.
I kinda need this today.

Answers

Answer:

all the possible values of y - x are 4 and 5

all possible values of x/y = 1

13.) Solve for M
14.) Solve for A
17.) Solve for H

Answers

Answer:

See Below (Isolate the variables)

Step-by-step explanation:

13) d = 4AM solve for M

Divide both sides by 4A

[tex]\frac{d= 4AM}{4A}[/tex]

[tex]\frac{d}{4A} = M[/tex]

14) [tex]\frac{A}{6}[/tex] = f+h  solve for A

Multiply both sides by 6

A = 6( f+h)

15) h - m = qb solve for H

Add m to both sides

h - m = qb

  + m   +m

h = qb + m

ali is writing a computer program. last week he wrote 25 lines of code each day for 5 days. this week her wrote 42 more twice the number of lines of code he wrote last week. how many lines of code he wrote altogether for his computer program

Answers

Answer:

292 lines of code

Step-by-step explanation:

1.) Multiply.    25 times 5 = 125

2.) Multiply previous answer by 2 (because he wrote twice as much).             125 times 2 = 250

3.) Add 42 to previous answer.    250 + 42 = 292

e=300-10 (30)
How to solve it step by step

Answers

Answer:

Step-by-step explanation:

e = 300-10(30)

e = 300 - 300

e = 0

HELPPPPPPPPPPP!!!!!!

Answers

Answer:

2x

Step-by-step explanation:

The width of the outer frame - inner frame

= 8 [tex]\frac{3}{4}[/tex] - 4 = 2x

15/2 is (greater than, less than, or equal to) the square root of 55?

Answers

First make 15/2 a mixed number

7 1/2

Or in decimal form its 7.5.

Find the square root of 55

Around 7.4

15/2 is greater

I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!

All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson

Answers

Answer:

according to my point of view I guess it is the law of syllogism

the valid conclusion is likely to be that Tommy has an oven

Canada has a population that is about 1 10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.

Answers

Answer:

320,000,000

Step-by-step explanation:

Solve for 3x + 5(x - 2) = 14​

Answers

distribute the 5 throughout the x-2
3x+ 5x - 10 = 14
8x-10= 14
add 10 to both sides
8x=24
divide 8 both sides
x = 3

A square garden has an area of 1,600 square feet. How long is each side of
the garden?
16
40
80
160

Answers

Answer:

40

Step-by-step explanation:

why? because 40x40=1600

The coefficient of first term of a polynomial written in standard (descending order) form is called the _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ coefficient

Answers

Answer:

The leading coefficient

Step-by-step explanation:

Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. Which of the equations below shows the amount y that Rashida charges for a bike rental that lasts x hours? A y = 10 + 4x C y = 4 + 10x B y = 10 - 4x D y = 4 - 10x

Answers

Answer:

Step-by-step explanation:

y = 4x + 10

the answer is A

Determine the measure of the angle labeled (4x + 7)
I'm very confused please help ASAP

Answers

39 degrees is the answer

Answer:

8 degrees

Step-by-step explanation:

4x+7=6x−9

Step 1: Subtract 6x from both sides.

4x+7−6x=6x−9−6x

−2x+7=−9

Step 2: Subtract 7 from both sides.

−2x+7−7=−9−7

−2x=−16

Step 3: Divide both sides by -2.

-2x/-2 =-16/-2

Equals to X=8

6x^2=21x-9 Need help learning factoring please put work so I can understand

Answers

Hopefully this is enough work for you finding the the best way to get the multiples of the middle x makes it easier so there is not as many trial and errors. These problems are normally trial and error so don’t lose hope if you don’t get it right away

simplify the following: 11^6/11^4

Answers

Answer:

11² or 121

Step-by-step explanation:

simplify the following: [tex]11^6/11^4[/tex]

Remember when bases are the same powers can be subtracted (or added)

[tex]\frac{11^6}{11^4}=11^{(6-4) }\\\\\\11^{2}=121\\[/tex]

:)

I need help w thsi 30+6ft=11ft

Answers

Answer:

6 i think

Step-by-step explanation:

30+6ft=11ft

    -6     -6

   30=5

30/5=6  5/5=1

6=1

Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home. If the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width, what is the GLA of the house?

Answers

Answer: 2048SF

Step-by-step explanation:

From the question, we are informed that Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home.

We are further told that the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width. Since the garage measured 16' in depth which was half the depth of the house, this means that the total depth of the house will be:

= 16' × 2

= 32'

Therefore, the GLA of the house will then be the full depth of the house multiplied by the screened porch. This will be:

= 32' × 64'

= 2048SF

- 32x - 40
What is the first step that I should do

Answers

I take it that you're trying to solve for the variable (x), so by using the order of operations (PEMDAS), the first step is to add 40 to both sides of the equation as addition cancels out subtraction.

[tex] - 32x - 40 = 0[/tex]

[tex] - 32x = 40[/tex]

From there you will divide by -32 and simply the fraction.

[tex]x = - \frac {40}{32} [/tex]

[tex]x = - \frac{5}{4} [/tex]

I hope this helps, but please let me know if this is not what you're trying to do.

An expression has a division symbol and a subtraction symbol. Is there any situation in which you would perform the subtraction before the division

Answers

If it is in parentheses yes

Which of the following is an equation in the form y = ax2 + bx + c of the parabola shown in the graph? Show your work.
A. y = −5x2 − 20x − 65
B. y = −5x2 − 20x − 20
C. y = −x2 − 27x − 90
D. y = −5x2 + 20x + 25

Answers

Answer:

Option D. y = – 5x² + 20x + 25

Step-by-step explanation:

We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:

The solutions are simply the values through which the graph cuts the x-axis.

The solutions are x = – 1 and 5.

Next, we shall obtain the equation for the graph as follow:

x = – 1 Or x = 5

x + 1 = 0 or x – 5= 0

(x + 1) (x – 5) = 0

Expand

x(x – 5) + 1(x – 5) = 0

x² – 5x + x – 5 = 0

x² – 4x – 5 = 0

Multiply through by 5

5x² – 20x – 25 = 0

Rearrange

0 = 0 – (5x² – 20x – 25)

= – 5x² + 20x + 25

Thus, the equation is:

y = – 5x² + 20x + 25

Jerry is counting his shirts. he notices that for every 5 black t-shirts in his drawer he has two red t-shirts. if he owns 28 t-shirts how many black t-shirts does jerry own?

Answers

Answer:

20

Step-by-step explanation:

In x-5=9, the correct way to isolate the variable is to

Answers

Answer: x=14

Step-by-step explanation:

Add 5 to both sides to get the x alone and get your answer.

if a+b= -1 then the value of a^3+b^3 - 3ab= ?

Answers

Answer:

-1

Step-by-step explanation:

[tex](a + b)^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ ( - 1)^{3} = {a}^{3} + {b}^{3} + 3ab( - 1) \\ - 1 = {a}^{3} + {b}^{3} - 3ab\\ \\ \huge \red{ \boxed{{a}^{3} + {b}^{3} - 3ab = - 1}}[/tex]

PLEASE HELP I WILL MARK YOU BRAINLIEST.

Answers

Answer:576cm

Step-by-step explanation:

Multiply length width

And height

Answer:

[tex] \boxed{ \bold{ { \boxed{ \sf{576 \: cubic \: centimeters}}}}}[/tex]

Step-by-step explanation:

Given,

Length of the rectangular prism ( l ) = 16 cm

Height of the rectangular prism ( h ) = 4 cm

Width of a rectangular prism ( w ) = 9 cm

Finding the volume of the rectangular prism. having length of 16 cm , width of 9 cm and height of 4 cm

[tex] \boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}[/tex]

[tex] \longrightarrow{ \sf{volume \: = 16 \times 9 \times 4}}[/tex]

[tex] \dashrightarrow{ \sf{576 \: {cm}^{3} }}[/tex]

Hope I helped!

Best regards! :D

A card is picked a random from the following set:
6,7,8,9
What is P(9)? Write as a Percentage

Answers

Answer:

25%

Step-by-step explanation:

There are 4 cards. Each one is a different number.

Only one card is a 9.

p(9) = 1/4 = 0.25 = 25%

1. Estimate
Square root 5

Answers

Answer: 25

Step-by-step explanation: 5^2 = 25, 5x5 = 25

Hope this helps!

2.2

did that help at all

3. -(0.5x +0.25) = -38​

Answers

Answer:

-75.5 I think

Step-by-step explanation:

-0.5x-0.25=-38

add 0.25 on both sides.

-0.5=-37.75

-75.5

Answer:

now we need to find x

x will be found by finding what you have to multiply to get to 38

-0.25 x 152=  -38 so x= 152

x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?

Answers

(-32/7,281/21) is the answer

Brainliest?

which integer is closest to √55 ?

Answers

Answer:

when you simplify √55

you get

7.41619848.....

the integer closest to 7.41619848... is 7

So the answer is 7

how do I solve 3+k/14=4

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Do cross multiplication

[tex] \hookrightarrow{ \sf{3 + k = 4 \times 14}}[/tex]

[tex] \tt{Step \: 2}[/tex] : Multiply the numbers : 4 and 14

[tex] \hookrightarrow{ \sf{3 + k = 56}}[/tex]

[tex] \tt{Step \: 3 \: }[/tex] Move 3 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{k = 56 - 3}}[/tex]

[tex] \tt{Step \: 4 \: }[/tex] Subtract 3 from 56

[tex] \hookrightarrow{ \sf{k = 53}}[/tex]

The value of k is 53

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

Step-by-step explanation:

k/14 + 3 = 4

k/14 = 1

k = 14

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