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hodyreva [135]
3 years ago
15

What is the value of 11x^-3 y^-1 for x=-1 and y=2

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer:

  -11/2

Step-by-step explanation:

Put the numbers into the expression and do the arithmetic.

  11(-1)^{-3}2^{-1}=\dfrac{11}{(-1)^3}\cdot\dfrac{1}{2^1}=\dfrac{-11}{2}

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Find the equation of the parabola with focus (2, 3) and directrix y = -1.<br> es
Elan Coil [88]

Answer:

Below in bold.

Step-by-step explanation:

Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of  this point from the directrix. So:

√(( x - 2)^2 + (y - 3)^2) = y - (-1)

Squaring both sides:

(x - 2)^2 + (y - 3)^2 = (y + 1)^2

x^2 - 4x + 4 + y^2 - 6y + 9  = y^2 + 2y + 1

x^2 - 4x  + 4 + 9 - 1 = 2y + 6y

8y = x^2 - 4x + 12

y = 1/8(x^2 - 4x + 12)

or we can write it as

y = 1/8x^2 - 1/2 x + 3/2.

4 0
3 years ago
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Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes
nikitadnepr [17]

Answer:

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Step-by-step explanation:

7 0
3 years ago
1. When Mrs. Weeks bought all of the baseballs and softballs, she paid
Lostsunrise [7]

Answer:

1) $104

2) 7(28) + 5(20) + c= 4(100)

3) 21 more balls

4) (135/9) + (48/6)

Step-by-step explanation:

The question is incomplete. The total number of balls wasn't stated neither was the cost of each ball.

To determine the answers to the questions above, Let's look at the following question:

Type of Ball:

football basketball baseball softball

Cost per Ball:

$8.00 $9.00 $7.00 $5.00 respectively

Total Number of Balls: 32 36 28 20 respectively

1. When Mrs. Weeks bought all of the baseballs and softballs, she paid for them using four $100.00 bills. How much change did she receive?

2. Write expressions that include parentheses and order of operations to show how to find the answer. Show your work.

3. After school began, Mrs. Weeks realized that she needed more

basketballs and footballs. If she spent $135.00 on basketballs and

$48.00 on footballs, how many more balls did she purchase?

4. Write expressions the include parentheses and order of operations to show how to find the answer. Show your work.

Solution:

Total number of balls = 32+36+28+20 = 116

Cost per ball for football = $8.00

Cost per ball for basketball =$9.00

Cost per ball for baseball =$7.00

Cost per ball for softball =$5.00

1) number of balls for baseball = 28

number of balls for softball = 20

Cost of 28 baseball = 28(7) = $196

Cost of 20 baseball = 20(5) = $100

She paid with = four $100.00 bills

= 4×100 = 400

Change she received = 400-(100+196) = 400-296

= $104

2) 7(28) + 5(20) + c= 4(100)

Where c = the change she collected

196 + 100 +c = 400

296 + c = 400

c = 400-296

c = $104

3) she spent $135.00 on basketballs

$48.00 on footballs

Number of basketballs bought = 135/9

= 15 basketballs

Number of footballs bought = 48/8

= 6 footballs

Total number of balls purchased = 15+6 = 21

She purchased 21 more balls

4) (135/9) + (48/6)

5 0
3 years ago
What is the volume of a sphere with 5 foot diameter
MatroZZZ [7]
523.6 is the answer hope this helps!
6 0
2 years ago
What is 5/6 turned into a decimal
frozen [14]
0.833333… it goes on forever
6 0
3 years ago
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