If x + y = 10 and x - y = 4, find the value of x² - y²

Answers

Answer 1

Answer:

x²-y² = 40

Step-by-step explanation:

Factorising x²-y²:

x²-y² = (x+y)(x-y)

This is due to the property that states:

a²+b² = (a+b)(a-b)

Substituting the given values into the above equation:

x²-y² = (10)(4)

= 40

Hence, x²-y² = 40

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer 2

Answer:

x² - y²=40 or 7²-3²=40

Step-by-step explanation:

if x=7 that would make y=3

7+3=10 and 7-3=4

7x7=49

3x3=9

49-9=40


Related Questions

A 3-column table with 4 rows is shown. The first column has entries Florida, Hawaii, Montana, Oregon. The second column is labeled Population with entries 19,317,568, 1,392,313, 1,005,141, and 3,899,353. The third column is labeled Area (miles squared) with entries 53,927, 6,423, 145,552, and 95,997.
Which statements are true? Check all that apply.

The population density for Montana can be found using the ratio 1,005,141:145,552.
The population density for Oregon can be found using the ratio 95,997:3,899,353.
The population density for Hawaii is greater than the population density for Florida.
The state with the smallest population density is Oregon.
The state with the smallest population density is Montana.

Answers

Answer:

It's the first and last one

Step-by-step explanation:

I just did it

Answer:

A) The population density for Montana can be found using the ratio 1,005,141:145,552.

E)The state with the smallest population density is Montana.

Step-by-step explanation:

please help will give brainliest
and please do not scam

Answers

Answer:

Answer: 8PM and 8AM

Step-by-step explanation:

2 |x-2| -12 = 0

2 |x-2| = 12

|x-2| = 6

x-2 = 6

x= 8

12 noon + 8 Hrs

= 8PM

x-2 = -6

x = -4

12 noon - 4 hrs

= 8AM

1/3× 21/4-11/2÷22/5?? .btw they are improper fractions​

Answers

Solution:

[tex] \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \div \frac{22}{5} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \times \frac{5}{22} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{5}{4} \\ = \frac{7}{4} - \frac{5}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]

Answer:

[tex] \frac{1}{2} [/tex]

If f(x)= –2x+3 then f(3) – f(4)=

Answers

Answer:

2

Step-by-step explanation:

F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation

F(3) = -2(3) + 3

= -3

F(4) = -2(4) + 3

= -5

- 3 -(-5) = 2

Answer:

2

Step-by-step explanation:

Step 1: Solve for f(3)

[tex]f(3) = -2(3)+3[/tex] [tex]f(3) = -6 + 3[/tex] [tex]f(3) = -3[/tex]

Step 2: Solve for f(4)

[tex]f(4) = -2(4) + 3[/tex] [tex]f(4) = -8 + 3[/tex] [tex]f(4) = -5[/tex]

Step 3: Subtract f(4) from f(3).

[tex]f(3)-f(4)[/tex] [tex](-3)-(-5)[/tex] [tex]-3 + 5[/tex] [tex]2[/tex]

Therefore, the answer is 2.

If x = 3, find the value of x2 + 2x

Answers

Answer:

15

Step-by-step explanation:

[tex]x^{2} + 2x = 3^{2} + 3 * 2 = 9 + 6 = 15[/tex]

3 · 2 = 6

2 · 3 = 6

6 + 6 = 12

Have a luvely day!

Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?

Answers

Answer:

35

Step-by-step explanation:

express ratio as a fraction in simplest form

a. 10 yards to 10 feet

hint *there are 3 feet in every 1 yard​

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]

Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches How much flour does Nate need to make his cookies? 1 cups 62 cups 12 61 cups 71 cups​

Answers

Answer:

12

Step-by-step explanation:

What is the integral of 2x?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Integral of 2x is :

[tex]{x}^{2} + c[/tex]

= Homework: Section 9.6
Question 16, 9.6.61
O Point
The perimeter of a rectangle is to be no greater than 160 centimeters and the width must be 35 centimeters. Find the maximum length of the rectangle.

Answers

Answer:

here is an an example

Step-by-step explanation:

Let x = the width of the rectangle

P = 2l + 2w

2(40) + 2x ≤ 150

80 + 2x ≤ 150

2x ≤ 70

x ≤ 35 cm

A functionf(x) is graphed on the coordinate plane.


What is the function rule in slope-intercept form?



Enter your answer in the box.

f(x)=

Answers

Answer:

y = -1/2x + b  meaning f(x) = -1/2x + b

Step-by-step explanation:

Use two points on the graph that you can find the value of  or use Slope = raise/run

let use points (2,0) and (0, 1)

slope = (change in the y-value)/(change in the x-value.

slope = (1 - 0)/(0 - 2)

slope = 1/-2 or -1/2

Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.

slope = raise/run

slope =  1/-2 or -1/2

Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .

y= mx + b

0 = -1/2(2) + b

0 = -1 + b

1 = b

Now write your equation: y = mx +b where m = -1/2 and b = 1

y = -1/2x +b

4. The sum of three consecutive oven integers is 84. What are the three numbers?

Answers

Answer:

The required numbers are 26 , 28 and 30

Step-by-step explanation:

Given that the sum of the three even integers is 84.

find the value of x and y. SHOW WORK​

Answers

I’m typing fast and don’t have paper so can’t give numbers but I can tell you how to solve. So here we go,

We know that,
6x+15x+75=180 and we also know 3y=15x+75.

Since we know 6x+15x+75=180 we just do 180-75=105
This then means that 6x+15x=105
And that’s as far as I can take you. (This may totally be wrong but if ur really stuck try my way.) (to find answer just put in 15 and 6 until u get it so that you get 105).

Point A is located at (-2,-1) on the coordinate plane. Point A is reflected over the x-axis to create point A′. What ordered pair describes the location of A'?

Answers

Answer: (-2,1)

Step-by-step explanation:

When reflecting over the x-axis, you keep the x-axis and invert the y-axis.

Find the quotient. 28,134 ÷ 47

Answers

Answer:

28,134 / 47 = 598.6

Step-by-step explanation:

For the division of 28,134 ÷ 47, the quotient is determined as 598.596.

What is the quotient of a number?

Quotient refers to the result obtained when one number (dividend) is divided by another number (divisor).

When you perform division, the quotient is the answer or the result of the division operation.

For the division of 28,134 ÷ 47, the quotient is calculated as;

28,134 ÷ 47

= 28,134 / 47

= 598.596

Therefore, for the division of 28,134 ÷ 47, the quotient is determined as 598.596.

Learn more about quotients here: https://brainly.com/question/33838790

#SPJ3

Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)

Answers

Answer:

g(4) = 12

g(-5) = 48

Step-by-step explanation:

I will assume that you meant g(x)=x^2 - 3x + 8,

A)  To find g(4), substitute 4 for each instance of 'x' in this function:

g(4) = (4)^2 - 3(4) + 8, or

g(4) = 16 - 12 + 8, or

g(4) = 12

Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48

g(-5) = 48

Answer:

A) 12

B) 18

Step-by-step explanation:

A) 4^2 - 3(4) + 8

16 - 12 + 8 = 12

B) -5^2 - 3(-5) + 8

25 + 15 + 8 = 48

Peter ​says, "If you subtract 14 from my number and multiply the difference by ​-7 , the result is -91 ​." What is Peter​'s ​number?

Answers

Answer:

x = -77

Step-by-step explanation:

based on the given conditions

x - 14 = -91

x = -91 + 14 then calculate the difference between -91 - 14 = -77

thus x which is peters number = -77

158 divided by 37 I don’t get it what is the answer

Answers

Answer:

4.2702702703

=

4 Remainder 10

Step-by-step explanation:

158 divided by 37 = 4.270

The result of 158/37 is a non-terminating, repeating decimal.

The repeating pattern above, 270, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 158/37 = 4.(270): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 158 / 37 = 4.270… .

158 divided by 37 in decimal = 4.270

158 divided by 37 in fraction = 158/37

158 divided by 37 in percentage = 427.02702703%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 158 and 37, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 158, and the denominator, e.g. 37, have been inserted.  

Answer:

4.2703

Step-by-step explanation:

Eighth grade Y.14 Solve equations with the distributive property SRP Solve for u. -9.6u - 6.96 = -3(2.4u – 4.72) – = U = Submit​

Answers

Answer:

2.93 repeating

Step-by-step explanation:

Janelle's family earns about $60,000 per year. She has been accepted to State U and
Greenlawn College and is comparing their financial aid packages.
State U:
.
Sticker price = $28,000
• Net price = $12,000
Greenlawn College:
• Sticker price = $60,000
• Net price = $9,000
Which statement below is TRUE?

Answers

I don’t know but 9,000

Based on the evaluation of information given, the true statements for the option are ;

state university has a lower sticker price than greenlawn.

greenlawn college is providing janelle more grants and scholarships.

one factor that impacts net price is family income.

Given the packages for State University and Greenlawn College :

Grants and scholarships = Sticaker price - net price

Green lawn scholarship = $60000 - $9000 = $51000

State university = $28000 - $12000 = $18000

The net price is the amount which the student actually pays for entry. Hence, Green lawn College is the best option for Janelle if decison is strictly based on cost.

A sticker price of $28000 is lesser than $60000. Hence, State University has a lower sticker price.

In determining, net price, the family income is a strong factor which is usually considered.

Hence, the false statement is ; if making a decision strictly based on cost, janelle's' best option is state university

Learn more : https://brainly.com/question/20265319

What is the equation of the line in point slope form with a slope of m=-2/3 passing through the point (-5,-2)

Answers

Answer:

[tex]m=− 32​ ≈−0.666666667[/tex]

Step-by-step explanation:

Convert 47/16 to a decimal using long division.

Answers

2.9375 is the answer

3 is the rounded up answer

i cant show steps cuz :p

sorry

anyway hope tis helps

Answer:

47/16

is basically dividing  

47÷16  

Long Division for 47 divided by 16  

=2.9375

help rn please!! I’ll mark as brainliest for the first person to answer

Answers

Answer:

c is the answer for this hope it helps

Answer:

Option D

Step-by-step explanation:

The first two options don't make sense as absolute value is always positive.

The third option requires the answer to be within one interval but our answer is the combination of two intervals.

Let's verify if the last option is correct:

|2x - 3| - 1 > 4|2x - 3| > 51) 2x - 3 > 5 ⇒ 2x > 8 ⇒ x > 42) 2x - 3 < - 5 ⇒ 2x - 3 < -2 ⇒ x < - 1

So this option is matching the graph

There were 768 towels on sale at the local store. 24 women purchased equal amounts of towels and left the shelf empty. How many towels did each woman purchase?

Answers

Answer:

Each women purchased 32 towels.

Step-by-step explanation:

Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.

If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 120t. How long will it take the rocket to return to the ground?
A) 7.5 seconds
B) 16 seconds
C) 3.75 seconds
D) 120 seconds

Answers

Answer:

A) 7.5 seconds

Step-by-step explanation:

Height of the ground is zero

-16t^2 + 120t = 0

Divide both sides by 16

-t^2 + 7.5t = 0

Factor out t

t(-t + 7.5) = 0

From the zero product rule

t = {0, 7.5}

0 would be time of launch

7.5 is time back to the ground

The ratio of students who wear glasses to the total class is 2:5
a. What is the ratio of student who wear glasses to those who don't in simplest form?
b. If there are 15 students who don't wear glasses, how many students are in the class?
students
c. If 5 of the students who didn't wear glasses now do, what is the ratio of students who wear glasses
to those who don't in simplest form?

Answers

Answer:

a. 2:3, b. 25 students, c. 3:2

Step-by-step explanation:

a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.

b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.

c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.

Please help with showing the points in the table

Answers

Answer:

attached

Step-by-step explanation:

Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc

Please Help Me I Will Give You The Brain Thing And Extra Points.
Write the equation of the line that has a slope of 2 and passes through the point (-3,4)
A)y = 2x - 2
B)y = 2x + 2
C)y = 2x + 7
D)y = 2x + 10

Answers

Y = mx + b
4 = (2)(-3) + b
4 = -6 + b
10 = b

Answer is choice D

Patulong naman po need kona po ngayun to

Just zoom if you don't clearly see it
THANK YOU ​​

Answers

1.d

2.d

hope it helps

...............

translate seven minus three times a number into an algebraic expression

Answers

7 - 3 x X
Key: x is times and X is “a number”
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