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S_A_V [24]
3 years ago
6

If x+y=7/13 and x-y=1/91, what is the value of x²-y²? Express your answer as a common fraction.

Mathematics
1 answer:
Sonja [21]3 years ago
5 0

Answer:

\frac{1}{169}

Step-by-step explanation:

It is given:

x+y=\frac{7}{13}

and

x-y=\frac{1}{91}

We are asked to find the value of "x^2-y^2"

We remember a rule/formula from algebra:

x^2-y^2=(x+y)(x-y)

Using this formula we can write:

x^2-y^2=(x+y)(x-y)=(\frac{7}{13})(\frac{1}{91})=\frac{1}{13}*\frac{1}{13}=\frac{1}{169}

The answer is:

\frac{1}{169}

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If f(x) = x² - 2x, find:<br> ƒ(6) = [ ? ]
zhannawk [14.2K]

<u>Answer:</u>

24

<u>Step-by-step explanation:</u>

To find ƒ(6), we have to substitute x = 6 into the expression for ƒ(x):

ƒ(6) = (6)² - 2(6)

      = 36 - 12

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7 0
1 year ago
5x-(x+1)=5-2x i dont understand what to do. Plz help
Vlada [557]

Answer:

x=1

Step-by-step explanation:

5x-(x+1)=5-2x

distribute

5x-x-1 = 5-2x

4x-1 = 5-2x

add 2x on each side

4x-1+2x = 5-2x+2x

6x -1 = 5

add 1 on each side

6x-1+2 = 5+1

6x = 6

divide by 6

6x/6 = 6/6

x = 1

6 0
3 years ago
A plumber charges customers a $50 fee for house calls, plus $25 per hour that he stays to work. Which linear function best model
Gala2k [10]
The function is: y= 25x + 50
8 0
3 years ago
Please help !! Use Pythagorean theorem :) and show your work if you can thanks :”) will give b
g100num [7]

Answer:

b=\sqrt{1575} ≈ 39.7ft

Step-by-step explanation:

The Pythagorean theorem:

a^{2}+ b^{2}= c^{2}

(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)

First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.

45^{2}+ b^{2}= 60^{2}

2025+b^{2} =3600

To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:

b^{2} =1575

b=\sqrt{1575} ≈ 39.7ft

7 0
3 years ago
Plz answer asap question in picture
max2010maxim [7]

Answer:

-1 <x < 7

(-1,7)

Step-by-step explanation:

open circle on the left means the number is greater than

-1 <x

Open circle on the right means the number is less than

x < 7

Since both statements are true. we combine them

-1 <x < 7

open circles means parentheses, closed circles mean brackets

6 0
2 years ago
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