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3 years ago

What is the formula of a²-b²?

Mathematics

2 answers:

STALIN [3.7K]3 years ago

7 0

(a-b)(a+b) is the answer

Thepotemich [5.8K]3 years ago

5 0

Answer:

The formula of a²-b² are as follows:

Step-by-step explanation:

(a-b)(a+b)

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PLEASE HELP, algebra 1

Rama09 [41]

If x = 10 and y = 2, 10 was divided by 5.

so if x = 40, divide it by 5 which will give us 8.

Option C) is your answer.

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4 years ago

Please help. Thank you

Aloiza [94]

Part A)
From equation (1) the value of y comes out to be:

y = 4x - 15

Using this value, in equation 2, we get:

5x + 3(4x-15) = 40
5x + 12x - 45 = 40
17x = 85
x = 5

y = 4x - 15
⇒
y = 4(4) - 15
y = 20 - 15
y = 5

Therefore, the solution set to the given equations is (4, 5)

Part B)
The graph of the lines intersect at one point, so they have a unique solution.(First option is correct)

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3 years ago

Ira walked 20 miles last week and 22 miles this week. Raj walked 1/3 the distance that Ira walked. Write an expression for the d

zaharov [31]

Answer:

Multiply your pace by your distance; If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes

Step-by-step explanation:

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3 years ago

Solve the system by graphing. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT.

timama [110]

Answer:

Part 1) The system has infinite solutions. Is a DEPENDENT system

Part 2) The solution of the system is the point (5,7)

Part 3) The solution of the system is the point (4,3)

Part 4) The number of investor that contributed with $4,000 was 33 and the number of investor that contributed with $8,000 was 27

Step-by-step explanation:

Part 1) we have

$x+y=7$ ------> equation A

$-x-y=-7$ ------> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The system has infinity solutions (both lines are identical)

see the attached figure

Is a DEPENDENT system

Part 2) we have

$x+y=12$ ------> equation A

$2x+3y=31$ ------> equation B

Solve the system by the elimination method

Multiply equation A by -2 both sides

$-2(x+y)=12(-2)$

$-2x-2y=-24$ ------> equation C

Adds equation B and C and solve for y

$2x+3y=31\\-2x-2y=-24\\---------\\3y-2y=31-24\\y=7$

Find the value of x

substitute the value of y in the equation A (or B or C) and solve for x

$x+(7)=12$

$x=5$

The solution is the point (5,7)

Part 3) we have

$3x+y=15$ ------> equation A

$x+2y=10$ ------> equation B

Solve the system by the elimination method

Multiply equation A by -2 both sides

$-2(3x+y)=15(-2)$

$-6x-2y=-30$ -----> equation C

Adds equation B and equation C

$x+2y=10\\-6x-2y=-30\\---------\\x-6x=10-30\\-5x=-20\\x=4$

Find the value of y

substitute the value of x in the equation A (or B or C) and solve for y

$3(4)+y=15$

$12+y=15$

$y=3$

therefore

The solution is the point (4,3)

Part 4) Formulate the situation as a system of two linear equations in two variables

Let

x ----> the number of investor that contributed with $4,000

y ----> the number of investor that contributed with $8,000

we have that

The system of equations is

$x+y=60$ ------> equation A

$4,000x+8,000y=348,000$ -----> equation B

Solve the system by elimination method

Multiply by -4,000 both sides equation A

$-4,000(x+y)=60(-4,000)$

$-4,000x-4,000y=-240,000$ -----> equation C

Adds equation B and equation C and solve for y

$4,000x+8,000y=348,000\\-4,000x-4,000y=-240,000\\-----------\\8,000y-4,000y=348,000-240,000\\4,000y=108,000\\y=27$

Find the value of x

Substitute the value of x in the equation A ( or equation B or equation C) and solve for x

$x+27=60$

$x=33$

The solution of the system is the point (33,27)

therefore

The number of investor that contributed with $4,000 was 33 and the number of investor that contributed with $8,000 was 27

6 0

3 years ago

What shape is 80,100,100,80 degree

Neko [114]

I believe it is a parallelogram.
Reasons:
1. It is a quadrilateral. Quadrilaterals have a total amount of 360 degrees. 80+100+100+80=360
2. It has oposite sides that are equal
3. If you look at a parallelogram it has two obtuse angles and two acute.
100= obtuse angle 80= acute angle

5 0

3 years ago

What is the formula of a²-b²?​

What is the formula of a²-b²?