(x^-2/y^-3)^2 / (y/x^2)^-3

Answers

Answer 1
Answer: ( (( x^(-2) )/( y^(-3) ))^2 )/( ((y)/( x^(2) ))^(-3) ) = ( (( x^(-4) )/( y^(-6) )) )/( (( y^(-3) )/( x^(-6) )) )=  ( x^(-4)* x^(-6)  )/( y^(-3)* y^(-6)  ) =  ( x^(-10) )/( y^(-9) )
Answer 2
Answer: (x-²/ y-³)² = (x-²/y-³)(x-²/y-³) = (y/ x²)(y/ x²) = (y²/ x^4) = y² · x^4  =      1     
(y/ x²)-³           (y/x²)(y/x²)       (x²/y³)(x²/y³)    (x^4/ y^6)  x^4 · y^6    y^4

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Fox2110Which quadratic function is represented by the table?o f(x) -3x2 2x 5f(x) 2x2 -2x 5
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Simplify square root of 3 times square root of 21
Will mark brainliest

Find the slope of each line.

Answers

The slope is 4/3.
I hope this helps :)

Jennie makes quilts. She can make 7 quilts with 21 yards . How many yards to make 12 quilts

Answers

If she can make 7 quilts with 21 yards, then you know 21÷7=3, it takes 3 yards to make 1 quilt. To make 12 quilts, you would then multiply the amount needed for each quilt by the total number of quilts: 3 yards/quilt x 12 quilts= 36 yards needed to make 12 quilts.

Ben purchased lunch today at the school cafeteria for $2.75. Before today, Ben owed $9.15 on his lunch account. What is the status of his lunch account after today?

Answers

The status of his lunch account after today will be $11.90

What is mean by Addition?

The process of combining two or more numbers is called the Addition.

Given that;

Ben purchased lunch today at the school cafeteria for $2.75.

And, Before today, Ben owed $9.15 on his lunch account.

Now,

Since, Ben purchased lunch today at the school cafeteria for $2.75.

And, Before today, Ben owed $9.15 on his lunch account.

Hence, The total owed money for lunch = $2.75 + $9.15

                                                              = $11.90

Thus, The status of his lunch account after today will be $11.90.

Learn more about the addition visit:

brainly.com/question/25421984

#SPJ2

Answer:

-$11.90

Step-by-step explanation:

Add the two numbers and make it negative because it is owed money

Patty is 50 mi. due north of Todd. Emma is due east of Todd. The angle between the direction of the shortest distance from Emma and Patty and due east is 40°. To the nearest mile, how far is Emma from each person?

Answers

For this it would be helpful if you draw a diagram of the situation. You will see that a right triangle can be formed from the problem. We use trigonometric functions to solve. We do as follows:

sin 40 = 50/y
tan 40 = 50/x


Solving we obtain,
x = 60 mi
y = 78 mi

Hope this answers the question. Have a nice day.

Answer:

Hence, the distance between Todd and Emma is:41.955 mi.

and the distance between Patty and Emma is:32.14 mi.

Step-by-step explanation:

We will see that we will get a right angled triangle based on our information(The graph is attached to the answer)

Now let x denotes the distance between Emma and Todd.

and y denotes the distance between Emma and Patty.

Now as the triangle is right angled so we can use the trignometric identities to find the distance.

\tan40\degree=(50)/(x)

this means x=\tan40\degree * 50

Now as \tan40\degree=0.8391

Hence, x=41.955 \text{mi.}

Similarly,

\sin40\degree=(50)/(y)

Hence y=32.14 \text{mi.}

Find the solution set. 9x^2+3x-2=0 separate the two values with with a comma.

Answers

Answer:

x = -2/3, 1/3

Step-by-step explanation:

Step 1: Factor

(3x + 2)(3x - 1) = 0

Step 2: Find roots

3x + 2 = 0

3x = -2

x = -2/3

3x - 1 = 0

3x = 1

x = 1/3

Answer:

Step-by-step explanation:

factor ; (3x-1)(3x+2)=0

then make both 3x-1 and 3x+2 equal to 0

(3x-1)=0   solve        3x+2=0

+ 1      +1                        -2   -2

_______                  _______

3x = 1                       3x = -2

x =1/3                       x= -2/3

check for to make sure both solutions work by plugging back into the equation

How many real-number solutions does the equation have? 1. –7x² + 6x + 3 = 0
a.one solution
b.two solutions
c.no solutions
d.infinitely many solutions

2.–8x² – 8x – 2 = 0
a.one solution
b.two solutions
c.no solutions
d. infinitely many solutions

Answers

If the discriminant is negative no real solution exists.
If the discriminant is equal to 0 only one real solution exists.
If the discriminant is positive 2 real solutions exist.
The discriminant:
D = b² - 4 a c
1 ) - 7 x² + 6 x + 3 = 0
D = 6² - 4 · ( - 7 ) · 3 = 36 + 84 = 120  > 0
Answer: b) two solutions
2 ) - 8 x² - 8 x - 2 = 0
D = ( - 8 )² - 4 · ( - 8 ) · ( - 2 ) = 64 - 64 = 0
Answer: a ) one solution