Find the value of the expression a? – b2 for a = 2 and b=1

Answers

Answer 1

Answer:[tex]a^2-b^2=3[/tex]

Step-by-step explanation:

We need to find the value of the below expression i.e.

[tex]a^2-b^2[/tex] when a = 2 and b = 1.

So,

Put a = 2 and b = 1 in the above expression. So,

[tex]a^2-b^2=(2)^2-1^2\\\\=4-1\\\\=3[/tex]

Hence, the value of the expression is equal to 3.


Related Questions

PROCESSING BASE ANGLES
OF AN ISOSCELES TRIANGLE

Answers

Answer:

m<A = 69°

m<C = 69°

Step-by-step explanation:

From the question given above, the following data were obtained:

AB = AC

m<B = 42°

m<A =?

m<C =?

Since:

AB = AC

Therefore,

m<A = m<C

A + B + C = 180 (sum of angles in a triangle)

C + 42 + C = 180

Collect like terms

C + C = 180 – 42

2C = 138

Divide both side by 2

C = 138 / 2

C = 69°

Finally, we shall determine m<A. This can be obtained as follow:

m<A = m<C

m<C = 69°

Therefore,

m<A = 69°

Question 1 of 10
The graphs below have the same shape. What is the equation of the red
graph?
f(x) = 4 – x²
g(x) = ?
g(x) =

Answers

The equation of the red graph is g(x)= 1-x^2.

Notice how on the blue graph all the lines pass through where 4 falls on the graph. This is the same for the red line except they all past through 1. Therefore you should change the 4 in the equation of the blue line to a 1 so it represents the redline.

this stuff is kinda hard please help me find the answer

Answers

Answer: 1 is D and 2 is B I think

Step-by-step explanation: 1 is D because 59.2 + (-84.7) because D is the same thing as 59.2-84.7, just written differently. 2 is B because the longer line resembles -15 and the smaller line resembles 6. -9 is circled because its supposed to add up to -9, hence why it would be 6+(-15)=-9. Hope this helped :)

The national weather service reports the daily temperature in degrees
Fahrenheit. The scientific community reports temperature in degrees Celsius.
The formula F = 1.8C + 32 relates Celsius, C, to Fahrenheit F Solve the formula
for C.

Answers

Answer:

[tex]C =\frac{5}{9}(F - 32)[/tex]

Step-by-step explanation:

Given

[tex]F = 1.8C + 32[/tex]

Required

Solve for C

[tex]F = 1.8C + 32[/tex]

Subtract 32 from both sides

[tex]F-32 = 1.8C + 32-32[/tex]

[tex]F-32 = 1.8C[/tex]

Divide both sides by 1.8

[tex]\frac{1}{1.8}(F - 32) = C[/tex]

Express the decimal as fraction

[tex]\frac{1}{18/10}(F - 32) = C[/tex]

[tex]\frac{10}{18}(F - 32) = C[/tex]

Simplify

[tex]\frac{5}{9}(F - 32) = C[/tex]

[tex]C =\frac{5}{9}(F - 32)[/tex]

can somebody help me?

Answers

Answer:

1 and 2

Step-by-step explanation:

Jayden has $10 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
$
Submit

Answers

Answer:

$1

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 10 × 0.05 × 2 = 1

I = $ 1.00

The simple interest accumulated

on a principal of $ 10.00

at a rate of 5% per year

for 2 years is $ 1.00.

What is the radius of a circular lid with a diameter of 5 centimeters?
radius

Answers

Answer:

5/2 =

2.5

Step-by-step explanation:

Juhi sells a washing machine for Rs 13500. She loses 20% in the bargain . What was the price at which she bought it

Answers

Required Answer :-

Concept :

➽ Let the cost price of the washing machine be a variable and apply the condition that the loss Juhi faced was 20% of the cost price, i.e., Rs. 13,500 is 80% of the cost price to form an equation. Solve the equation to get the answer.

Solution :

➽ The selling price of the washing machine after bargain = Rs 13, 500

➽ percentage of loss she had in the bargain = 20 %

let the price paid by juhi be x

➽ Now interpreting the statement in the question

in mathematical form we get :

[tex] \implies[/tex] loss = Rs 2 / 10 × 2

[tex] \implies[/tex] Loss = Rs 2 / 10 × x

➽ According to the simple marketing norm, if we subtract the loss from the buying price, we will be getting the selling price for which Juhi sold the washing machine.

Profit / loss = purchasing price - Selling price

Substituting the values the above equation, we get;

[tex] \implies[/tex] 2 x / 10 = x - 13500

[tex] \implies[/tex] 2 x / 10 = x - 13500 / 2

On cross-multiplication, we get;

2 x = 10 ( x - 13500 )

[tex] \implies[/tex] 2 x = 10 x - 13500

[tex] \implies[/tex] 8 x = 13500

∴ x = 13500 / 8 = 16875

∴ Hence the price that Juhi paid for buying the Washing machine was Rs. 16,875.

Additional information :

❑ Don’t get confused and take the 20% of the selling price while you solve, as you should be very clear that the percentage loss or profit are terms related to the actual pricing not to the price for which you crack the deal. The other way of thinking of this is that the selling price might vary from buyer to buyer depending on the bargain they put in, but the percentage should be defined from a fixed mark so that you can easily handle it. The reason that most products in the market have an MRP tag on it making it easier for all the sellers to handle their margins.

PLEASE HELP ME BRAINLIEST WILL BE GIVEN!!
This is an example of a random sample: Marley surveys her swim teammates about their favorite sport.

True

False

Answers

Answer:

False

Step-by-step explanation:

The people arent random

evaluate 3× +7 for x=5.​

Answers

Answer:

The answer is 22!

Step-by-step explanation:

3*5 = 15, 15+7 = 22

Brainliest pls! :D

2/4 of Zaria's hair bows are pink, 1/4 are purple, and the rest are orange. What fraction of Zaria's hair bows are orange?

Answers

1/4 are orange.
1 = 4/4
4/4 - 2/4 = 2/4
2/4 - 1/4 = 1/4

Picture a square divided into 4 equal parts. Each part is one fourth of the square. Tow of those fourths are pink, one is purple, the other orange.

What is the slope of the line that passes through the points
(-16, -5) & (-15, -7)

Answers

Answer:

slope=-2

Step-by-step explanation:

Okay so we just take those coordinates and apply them to this formula:        

y2-y1/x2-1

then simplify to get -2

if you want me to elaborate just say the word

A triangle has side lengths of 13 cm and 6 cm. Which could be the value of the third side, 21 cm or 17 cm?

Answers

Answer:

No

FDSAdsadasdsadaaaaaaaaaaaaaaa

help with number 5 please

Answers

Answer:

60

Step-by-step explanation:

How many solutions does this system have?
->
2x-3y = 10
-4x+6y=-20
one
two
an infinite number
no solution

Answers

Answer: I think there is only one

Step-by-step explanation:

Answer:

an infinite number

Step-by-step explanation:

Let's solve for y for both equations.

[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]

[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]

By reducing fractions we get:

[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]

These two equations are EXACTLY the same.

Therefore, this system has an infinite number amount of solutions.

Using desmos graphing calculator, you can't see both lines because they're exactly the same line.

Can some please help and if you get it right I will mark Brainly!!!

Answers

Answer:

(2, 7)

Step-by-step explanation:

bc if you plug in the points into the equation you get 3(2)+4(7) is greater or equal to 20. 3(2)+4(7) is 34 and that is greater than 20

how do I add this? 1 3/4 + 3 2/8

Answers

Answer:

5

Step-by-step explanation:

Answer:

The answer would be 5

Step-by-step explanation:

Riley bought 50 foot or rope. He cut off pieces that total 34’8” so far. How much rope does he have left

Answers

Answer:

the answer is 15'2" of the rope that is left

Step-by-step explanation:

Rosie bought 1 2/5 pounds of cantaloupe. She also bought watermelons that were 3 1/3 times the weight of the cantaloupes. How much did the watermelons weigh?

Answers

Answer:

4 2/3 pounds of watermelon.

--

I hope this helped you!

does 5+4=8 and does 1+1=2​

Answers

Answer:

5 + 4 = 8 (False)

1 + 1 = 2 (True)

Step-by-step explanation:

First Case:

5+4=8

No this is not correct as when 5 is added to 4 then the result should be - (1+1+1+1+1) + (1+1+1+1)

= 1 + 1 + 1 + 1 + 1 + 1 + 1 +1 +1

= 9

So this is not correct.

Second Case:

1 + 1 = 2

Yes this is correct when 1 and 1 are added for two times it results in 2.

James had a large bag of raisins. He ate
3/4


of it. Then, he shared the rest of the raisins with 2 friends and himself (3 people in total). What portion of the whole bag of raisins did each of his friends get? Choose the numbers to complete the fraction?

Choose...



Choose...
PLEASE HELP ASAP

Answers

Answer:

1/12

Step-by-step explanation:

3/4=9/12

12/12-9/12=3/12

(3/12)/3=1/12

Answer:

The friend both get 1/12

Step-by-step explanation:

Hope this helps!

We need a rock garden with a perimeter of 12 feet and an area of 8 square feet


Length: Feet
Width: Feet​

Answers

Answer:

Length: 4 feet

Width: 2 feet

Step-by-step explanation:

The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1

However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.

The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8

It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12

So, the length is 4 feet and the width is 2 feet

8,626 round to the nearest thousand?

Answers

Answer:

9000

Step-by-step explanation:

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week. Which inequality represents the situation?

Answers

8 ≥ x + y OR x + y ≤ 8

Both inequalities above are the same so they would both be correct, doesn’t matter which you choose.

The inequality that represents this situation is x + y ≤ 8

Inequalities shows the non equal comparison between numbers or expressions.

Let x represent the number of small purses and y represent the number of big purses.

Given that She can make no more than 8 purses a week, hence:

x + y ≤ 8

The inequality that represents this situation is x + y ≤ 8

Find out more at: https://brainly.com/question/25285332

Sylvan drove 128.6 km each day for 8 days. He drove 44.3 km each day for 12 days. What was the total distance Sylvan drove?

Answers

Answer:

If x and y are the hours she drove at the different rates, then:

x+y=5

80x+100y=440

-------

80x+100y=440

80x+80y=400

20y=40

y=2

x=3

She drove 3 hours at 80 kmh and 2 hours at 100kmh!!!!!!!

Step-by-step explanation:

HELP ASAP !!!
Which of the following are identities? Check all that apply.

Answers

Answer:

A,CAND D

Step-by-step explanation:

ADD ME AS BRAINLIEST

Answer:

they should all be checked

Step-by-step explanation:

ap3x

What is the difference between the two slopes? Chris (4, -3) and (6, 9) Amelia (-1, 6) and (1, 4) this is slope

Answers

The difference between these two slopes is that (4,-3) and (6,9) have a slope of 6 while (-1,6) and (1,4) have a slope of -1. Hope this helps! :)

Plz help solve this math problem

Answers

Answer:

3 8/9

Can I get Brainliest?

Answer:

3 8/9

Step-by-step explanation:

9 goes into 35 3 times with a remainder of 8

dy/dx=2xy/x²+y² solve​

Answers

Answer:

[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]

Step-by-step explanation:

As it is first order nonlinear ordinary differential equation

Let y(x) = x v(x)

2xy/(x²+y²)=2v/(v^2+1)

dy=xdv+vdx

dy/dx=d(dv/dx)+v

x(dv/dx)+v=(2v)/(v^2+1)

dv/dx=[(2v)/(v^2+1)-v]/x

[tex]\frac{dv}{dx}=\frac{-(v^2-1)v}{x(v^2+1)}[/tex]

[tex]\frac{v^2+1}{(v^2-1)v}dv=\frac{-1}{x}dx[/tex]

∫[tex]\frac{v^2+1}{(v^2-1)v}dv[/tex] = ∫[tex]\frac{-1}{x}dx[/tex]

u=v^2

du=2vdv

Left hand side:

∫[tex]\frac{v^2+1}{v(v^2-1)}dv[/tex]

=∫[tex]\frac{u+1}{2u(u-1)}du[/tex]

=[tex]\frac{1}{2}[/tex]∫[tex](\frac{2}{u-1} -\frac{1}{u} )du[/tex]

=[tex]ln(u-1)-\frac{ln(u)}{2} +c[/tex]

=[tex]ln(v^2-1)-\frac{ln(v^2)}{2}+c[/tex]

Right hand side:

[tex]=-ln(x)[/tex]

Solve for v:

[tex]v=-\frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x} \ or \ \frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x}\\[/tex]

[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]

What’s the meaning of elimination in English?

Answers

[tex] \huge \sf \ \star \purple{Answer} \star[/tex]

the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body

Answer:

the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body.

or

Elimination is the process of getting rid of something, whether it's waste, errors, or the competition. Elimination comes from the Latin word limen, which means threshold. The Romans added an “e” to the beginning and created the verb eliminare, which means to banish or to push over the threshold and out the door.

[tex] \huge{ \bf \color{red}{hope \: it \: helps}}[/tex]

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