what is the formula of a square + b square ​

Answers

Answer 1
The (a2 + b2) formula is expressed as a2 + b2 = (a +b)2 -2ab

Related Questions

How could you use subtraction to find the area of a figure

Answers

Answer:

https://brainly.com/question/7699717

Step-by-step explanation:

ali and beth divide £35 in the ratio of 2:5 what do they get

Answers

the ratio is 2:5, so first we need to find the total units of how much is the 35 pounds is divided to.
the total units it’s divided to is 2+5=7
therefore, one unit is worth 35/7=5 pounds
since ali received 2 units and a unit is worth 5 pounds, ali received 2x5=10pounds
and beth received 5 units, 5x5=25 pounds

Ali gets £10

Beth gets £25

Step-by-step explanation:

The amount is divided into 7 equal parts since 2+5=7.

since Ali's name comes first, he gets 2 of the parts as the 2 is the first number in the ratio. Beth gets 5 parts, since her name is the second.

share the £35 between the 7 parts by dividing 35 by 7.

35÷7=5

Ali gets 5× £2= £10

Beth gets 5×£5 =£25

5×5=25 (Beth's portion)

If I have 1 apple, and I get 2 apples, how many apples do I have

Answers

Answer:

you have 1

you get 2

2+1=3

You now have 3 apples :)

Hey!

you have 3 apples.

2+1 is 3.

Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 13 feet and a height of 13 feet. Container B has a
radius of 10 feet and a height of 18 feet. Container A is full of water and the water is
pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of water remaining in Container A,
to the nearest tenth of a cubic foot?

Answers

Cylinder A can hold 6902.08 ft^3

Cylinder B can hold 5654.87 ft^3

6902.08 - 5654.87 = 1247.21

The amount that will be left over in container A is 1247.21

Answer:

B

Step-by-step explanation:

i dont really understand this and i need it done by the end of the dday

Answers

Answer:

1.

A: GI= 60

B:  MH= 14

C: IK= 23

D: HI=  46

E: MG= 24

2.

A: TU= 38

B: VY= 17

C: UZ= 15

D: WV= 15

E: TV= 30

Step-by-step explanation:

This probally isnt all right but most of it most likely is.

The tree in Donnas backyard is 8.6 m high. How high is it in centimeters?

Answers

860 centimeters purrrr

Please help me! This is finding slope btw

Answers

Step-by-step explanation:

for number 8. The slope is -3 because the standard form equation is y=mx+c. And we know that m represents your slope.

Hence why it is -3.

For number 10. The slope is 0. I Forgot to write that on the pic

:)

there are 45 boys on the track team. About 25% of the boys were on the team last year. About how many boys were on the track team last year

Answers

Answer:

about 11 boys were on the track team last year.

Roughly approximately about 11-1/4 of fhem.

Simplify the expression –3(x 3)2 – 3 3x. what is the simplified expression in standard form? –3x2 – 18x – 27 –3x2 – 15x – 30 –3x2 3x 6 –3x2 3x – 30

Answers

The simplification of the given expression will be  [tex](-3x^2-15x-30)[/tex].

What will be the simplification of the given expression?

Given expression is

[tex]-3(x+2)^2 -3+3x[/tex]

By applying  [tex](a+b)^2=a^2+2ab+b^2[/tex]  we get

[tex]-3(x^2+6x+9)-3+3x[/tex]

Multiplying by -3 into the whole bracket we get

[tex]-3x^2-18x-27-3+3x[/tex]

[tex]-3x^2-18x-30+3x[/tex]

[tex]-3x^2-15x-30[/tex]

Thus the simplification of the given expression will be  [tex](-3x^2-15x-30)[/tex]

To know more about Simplification follow

https://brainly.com/question/723406

Answer:

B. –3x^2 – 15x – 30

Step-by-step explanation:

(please help!) Find the surface area of the prism.

Answers

Answer: 82 sq ft

Explanation 6+6+14+14+21+21=82

what is the problem with Carter's Budget?,,

Answers

Answer: carter has not saved any money

Step-by-step explanation:

Two number whose product is -168 and sum is -13

Answers

Answer:

-21 and 8

Step-by-step explanation:

-21 × 8 = -168 and -21 + 8 = -13

Hope this helps!

Find the final
price $
laptop with 5% sales tax
5
of a $719.99

Answers

Answer:

■ Sales tax: $36.00

■ Cost/Price before ST: $719.99

■ Total Cost/Price including ST: $755.99

Step-by-step explanation:

Answer: $755.99

Step-by-step explanation: The first step in finding how much an item or product costs with tax is to take the price of the product and multiply it by the percentage of sales tax to find out how much the tax costs. The next step is to take this cost of the tax and add it to the original price of the product. This gives you your final cost. This gives us the following equations.

In this problem the sales tax is 5%, which is equal to 0.05

(719.99) (0.05) = 35.9995

35 + 719.99 = 755.9895

The answer we get from the equations is 755.9895. Rounding to the nearest penny, or hundredth space, gives us our final answer of $755.99

Solve this quickly please!!

Answers

Answer:

Step-by-step explanation: we will first work out a

so 23 is the hypotenuse

a is the opposite

so what we need to do is 46sin(23) and that will give you 17.97 cm

next we will work out b

b is the adjacent

23 is the hypotenuse

so in this case we must do 46cos(23) and that will give you 42.34

last, we will work out B

a is 17.97 cm and its the adjacent

23 is the hypotenuse

so we do sin-1(17.97/23)= 51.38

Eva is solving the equation 4(x+3/2)=8. She says, “I can subtract 3/2 from each side to get and then divide by 4 to get x=13/8. Dakota says, “I think you made a mistake.” Describe the mistake that Eva made.

Answers

since (3/2) is in the parentheses with x, you have to isolate it. To do so you have to divide the 4 on both sides and then you can remove the parentheses. Then solve from there

x = 1/2

A rectangle has a width that is 3 meters more than twice the length. The area of the rectangle is 44 and square. What are the length and the width of the rectangle?

Answers

Answer:

8x11/2= 44 it's 44

Step-by-step explanation:

A=44 = LW = (2W-3)W = 2W^2 -3W

2W^2-3W -44 = 0

(2W-11)(W+4) = 0

2W-11 = 0

2W = 11

W = 11/2 = 5 1/2 meters

L=2W-3 = 11-3 = 8

8x11/2= 44

length = 8 m,  width = 5 1/2 m

find the height of the tree to the nearest foot.

Answers

Answer:

height = 50 ft (nearest foot)

Step-by-step explanation:

This creates a right triangle, where:

horizontal leg = 72 ftvertical leg = height of treeangle of elevation (between horizontal leg and hypotenuse) = 34.6°

Use the tan trig ratio to find the height.

[tex]\mathsf{\tan\theta=\dfrac{opposite \ side}{adjacent\ side}}[/tex]

[tex]\implies \mathsf{\tan(34.6)=\dfrac{height}{72}}[/tex]

[tex]\implies \mathsf{height=72\tan(34.6)}[/tex]

[tex]\implies \mathsf{height=50 \ ft \ (nearest\ foot)}[/tex]

Height be x

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan34.6=\dfrac{x}{72}[/tex]

[tex]\\ \rm\Rrightarrow x=72tan34.6[/tex]

[tex]\\ \rm\Rrightarrow x=72(0.689)[/tex]

[tex]\\ \rm\Rrightarrow x=49.61ft[/tex]

height approximately 50ft

Cathy and iris are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip,how many ways are there?

Answers

Cathy and Iris have 259,459,200 ways to skip countries.

Data;

Number of countries they are planning to visit = 9Number of countries they would like to visit = 13

Combination

To solve this problem, we would have to use a mathematical procedure known as combination.

Let us calculate the number of countries that would have to skip.

[tex]13 - 9 = 4[/tex]

To decide which country they have to skip, it would be 4 out of 13.

[tex]x = ^1^3C_4 = \frac{13!}{4!}[/tex]

Let's solve this

[tex]\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways[/tex]

Cathy and Iris have 259,459,200 ways to skip countries.

Learn more on combination here;

https://brainly.com/question/12468032

Identify the dividend, quotient, divisor, and remainder of x^3 + 2x^2 + 3x - 4 = (x^2 + 3x + 6) (x - 1) + 2. What do you know about the function at x = 1?

Answers

Answer:

Step-by-step explanatio

may not be real numbers. Our final theorem in the section gives us an upper bound on the number

of real zeros.

Theorem 3.7. Suppose f is a polynomial of degree n ≥ 1. Then f has at most n real zeros,

counting multiplicities.

Theorem 3.7 is a consequence of the Factor Theorem and polynomial multiplication. Every zero c

of f gives us a factor of the form (x − c) for f (x). Since f has degree n, there can be at most n of

these factors. The next section provides us some tools which not only help us determine where the

real zeros are to be found, but which real numbers they may be.

We close this section with a summary of several concepts previously presented. You should take

the time to look back through the text to see where each concept was first introduced and where

each connection to the other concepts was made.

Connections Between Zeros, Factors and Graphs of Polynomial Functions

Suppose p is a polynomial function of degree n ≥ 1. The following statements are equivalent:

• The real number c is a zero of p

• p(c) = 0

• x = c is a solution to the polynomial equation p(x) = 0

• (x − c) is a factor of p(x)

• The point (c, 0) is an x-intercept of the graph of y = p(x)

3.2 The Factor Theorem and The Remainder Theorem 265

3.2.1 Exercises

In Exercises 1 - 6, use polynomial long division to perform the indicated

find the volume of the cone

Answers

The volume of the cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]

r: radius --> 3fth: height --> 12ft [tex]\pi\\[/tex] = 3.14

Volume =  [tex]\frac{1}{3} \pi *(3)^{2} *12 = 113.04ft^3[/tex]

Hope that helps!

Find the scale factor for the dilation shown.

Answers

Answer:

2

Step-by-step explanation:

The side length of the preimage is 4.5 and the side length of the image is 9. Since scale factor is image/preimage, the scale factor is 9/4.5 = 2

A) Jose and Anna are planning a Halloween Party. They are making goodie bags and have 30
Lollipops and 42 KitKat bars. If they want the same amount of candy in each goodie bag, what
the greatest number of goodie bags they can make?

B) How many lollipops and KitKat bars will be in each goodie bag?

C) Using the distributive property, factor the sun of terms 30 and 42 as a product of the GCF and a sum.

D) John and his two friends are buying tickets to the Halloween party. Each tickets cost $2.75. They paid with a $50.00 bill, what is their change?

Answers

Answer:

6 Lollipops in 5 bags and 6 KitKat Bars in 7 bags

Step-by-step explanation: Its 6 x 5 which equals 30 and 6 x 7 that equals 42. Hope it's correct :)

calculate the area of the figure below​

Answers

Answer:

164 cm²

Step-by-step explanation:

Take the 2 shapes and find the areas

Triangle area = (bh)/2

                          13 × 8 × 0.5 = 52

Rectangle area = 16 × 7 = 112

Add up the areas

112 + 52 = 164

Answer:

136 cm²

Step-by-step explanation:

The composite figure is made up of a triangle and a rectangle.

Area of the triangle

[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\ \implies \textsf{Area of $\triangle ABD$}&=\dfrac{1}{2} \times BD \times AB\\&=\dfrac{1}{2} \times (16-8) \times (13-7)\\&=\dfrac{1}{2} \times 8 \times 6\\&=4 \times 6\\&=24\; \sf cm^2\end{aligned}}[/tex]

Area of the rectangle

[tex]\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\\\ \implies \textsf{Area of rectangle $BCFE$}&= EF \times CF\\&=7 \times 16\\&=112\; \sf cm^2\end{aligned}}[/tex]

Therefore, the area of the composite figure is:

[tex]\boxed{\begin{aligned}\textsf{Area of the composite figure}&=\sf Triangle + Rectangle\\ & = 24 + 112\\&=136\; \sf cm^2\end{aligned}}[/tex]

Expand and simplify (2x - 5)(3x - 2)

I got -13x +10? not sure what i’m doing wrong.

Answers

Answer:

6x^2 - 19x + 10 is the answer

Step-by-step explanation:

Lets use the FOIL method to expand,

(2x - 5)(3x -2)

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

This is the expanded version of the expression above!

here is a better way of explaining it,

(2x - 5) is the first equation now lets split it up

now its 2x and -5!

now you just multiply 2x and -5 to the second equation (3x - 2)

makes sense?

Lets Simplify it,

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

6x^2 - 4x - 15x + 10

6x^2 - 19x + 10

(tip: DON'T FORGET SAY ^2 because there are 2x's in the (2x*3x) part!)

Now you just simplify!

So as a result the answer is,

6x^2 - 19x + 10

Hope this helps :)

First multiply 2x with 3x then with (-2)
Second multiply (-5) with 3x then with(-2)

The answer will be like this
(^) this means power by

6x^2 -19x +10

Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square inches. Paper completely fills the bin to a height of 17 inches. What is the volume of paper in the recycling bin?

Answers

According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.

What is the volume of a rectangular prism?

It is given by the multiplication of the base area by the height, that is:

[tex]V = S_bh[/tex]

In this problem, we have that the measures in square inches and inches, respectively, are given by:

[tex]S_b = 400, h = 17[/tex]

Hence:

[tex]V = 400 \times 17 = 6800[/tex]

The volume of paper in the recycling bin is of 6800 cubic inches.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

Answer:

6800

Step-by-step explanation:

Please pe please please please please please help me

Answers

Answer:

y =mx

Step-by-step explanation:

The second one is for the gradient

The third one is pythogras theorm

The last one is for the slope of a line(i'm not that sure about this one, sorry if its wrong)

A forest ranger collected data about the rainfall in a forest, in inches, on consecutive days of a month. His data is shown using the dot plot. Create a box plot to represent the data. dot plot titled Monthly Rainfall and number line from 2 to 3 in increments of 1 tenth labeled Rainfall (in inches) with zero dots over 2, zero dots over 2 and 1 tenth, zero dots over 2 and 2 tenths, 1 dot over 2 and 3 tenths, 2 dots over 2 and 4 tenths, 1 dot over 2 and 5 tenths, 2 dots over 2 and 6 tenths, 2 dots over 2 and 7 tenths, 2 dots over 2 and 8 tenths, zero dots over 2 and 9 tenths, and zero dots over 3 box plot with minimum value 2 and 3 tenths, lower quartile 2 and 4 tenths, median 2 and 6 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 2 tenths, lower quartile 2 and 4 tenths, median 2 and 6 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 3 tenths, lower quartile 2 and 4 tenths, median 2 and 5 tenths, upper quartile 2 and 7 tenths, and maximum value 2 and 8 tenths box plot with minimum value 2 and 2 tenths, lower quartile 2 and 4 tenths, median 2 and 5 tenths, upper quartile 2 and 6 tenths, and maximum value 2 and 8 tenths

Answers

The box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

What is a Box Plot?

A box plot shows the five-number summary of a data distribution which includes:

Minimum valueMaximum valueMedianUpper quartile (Q3)Lower quartile (Q1)

To create a a box plot for the data, we need to state out each data point given in the dot plot, which are:

2.3, 2.4, 2.4, 2.5, 2.6, 2.6, 2.7, 2.7, 2.8, 2.8

The five-number summary of the data points stated above would be:

Minimum value - 2.3Maximum value - 2.8Median - 2.6Upper quartile (Q3) - 2.7Lower quartile (Q1) - 2.4

Therefore, the box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

Learn more about box plot on:

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Answer:

other guy is right

Step-by-step explanation:

The expression for the income of an amusement park is given, where x is the entry price: 96. - 4c? Aside from free entry, what entry price will result in no income? O S4 0 $12 0 $24 O $96​

Answers

The income of the amusement park is a function of the price of the ticket

The entry price that will result in no income is $24

How to determine the entry price that results in no income

The expression for the income is given as:

[tex]96x - 4x^2[/tex]

When the income is 0, we have the following equation

[tex]96x - 4x^2 = 0[/tex]

Factor out 4x

[tex]4x(24 - x) = 0[/tex]

Split the equation

4x = 0 or 24 - x = 0

Solve for x

x = 0 or x = 24

This means that, the entry price that will result in no income is $24

Read more about income and expenses at:

https://brainly.com/question/13628349

Jacques deposited $1,900 into an account that earns 4% interest compounded semiannually. After t years, Jacques has $3,875. 79 in the account. Assuming he made no additional deposits or withdrawals, how long was the money in the account?.

Answers

Answer:

T=50.99

Step-by-step explanation:

Given:

I=3,875.78

P=1,900

R=4% I.e 4/100 , 0.04

T=?

I=PRT

3,875.79=($1,900)(0.04)t

3,875.79=76t

3,875.79/76= t

T=50.99

If an island's only residents are penguins and bears, and if there are 24 heads and 64 feet on the island, how many penguins and how many bears are
on the island

Answers

Penguins (P): 1 H + 2 Ft

Bears (B): 1 H + 4Ft

Heads Equation:  1P + 1B = 14   → -2(1P + 1B = 14)   →  -2P - 2B = -28

Feet Equation:    2P + 4B = 30 →   1(2P + 4B = 30)  →  2P + 4B = 30

                                                                                              2B = 2

                                                                                                B = 1

Heads Equation:  1P + 1B = 14   →  1P + 1(1) = 14  →  P = 13

Answer: 13 Penguins and 1 Bear

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