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3 years ago

Rewrite in rectangular form: r=5

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

6 0

Answer:

x ^2+ y^ 2 = 25

Step-by-step explanation:

Square both sides:

r ^2 = 5^ 2

Substitute x ^2 + y^ 2 for r ^2 :

x ^2+ y ^2 = 5 ^2

Insert the center -0 into the x and y terms:

( x − 0 )^ 2 + ( y − 0 ) ^2 = 5 ^2

This is the standard form for a circle whose center is ( 0, 0 ) and the radius is 5.

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Kim and Melody are selling popcorn buckets for a school fundraiser. Customers can buy small buckets or large buckets. Kim sold 3

Papessa [141]

Answer:

The cost of

A small bucket = x = $8

A Larger bucket = y = $13

Step-by-step explanation:

Let the cost of

A small bucket = x

A Larger bucket = y

Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.

3x + 14y = 206... Equation 1

Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.

11x + 11y = 231.... Equation 2

What is the cost for a small bucket and a large bucket of popcorn?

3x + 14y = 206... Equation 1

11x + 11y = 231 ....... Equation 2

We solve using Elimination method

Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x

33x + 154y = 2266.... Equation 3

33x + 33y = 693....... Equation 4

We subtract Equation 4 from Equation 3

121y = 1573

y = 1573/121

y = $13

Solving for x

3x + 14y = 206... Equation 1

3x + 14 × 13 = 206

3x + 182 = 206

3x = 206 - 182

3x = 24

x = 24/3

x = $8

Hence, the cost of

A small bucket = x = $8

A Larger bucket = y = $13

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3 years ago

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tia_tia [17]

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Step-by-step explanation:

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gizmo_the_mogwai [7]

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Step-by-step explanation:

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valentinak56 [21]

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Step-by-step explanation:

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Given the parent function f(x)=x^2 describe the graph of y=(0.2x)^2

Yanka [14]

We have the following function:
f (x) = x ^ 2
We have the following transformation:
Expansions and horizontal compressions
The graph of y = f (bx):
If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b.
Applying the transformation:
y = (0.2x) ^ 2
The factor is:
1 / b = 1 / 0.2 = 5
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