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Romashka-Z-Leto [24]
3 years ago
11

Write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

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a dance club spent $922 on 40 items.The item include some hats and pairs of shoes.Each hat cost $19 and each pair of shoes cost
Sergio039 [100]

1. H+S=40

2. 19H+25S=922

From 1,

19H+19S=760

Subtract this from 2 to eliminate H,

19H+25S-19H-19S=922-760

6S=162

Solve for S, then use either equation to solve for H.

4 0
3 years ago
a fruit basket contains oranges and grapefruits. one-third of the oranges and one-fourth of the grapefruits were spoiled. you th
Juli2301 [7.4K]
1/3 oranges were spoiled.....u threw away 4 oranges...
1/3 of what = 4....
1/3x = 4
x = 4 * 3
x = 12 oranges

1/4 grapefruits were spoiled....u threw away 7
1/4 of what = 7
1/4x = 7
x = 7 * 4
x = 28

so ur fruit basket contained 12 oranges and 28 grapefruits before u discarded the spoiled ones

6 0
3 years ago
The table shows the balances of two bank accounts for 3 months. In what month will the balance of Account A be equal to the bala
photoshop1234 [79]

Answer:

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3Step-by-step explanation:

7 0
2 years ago
Saji swims 1/3 mi every day. One day he had already swum 1/5 mi. How much further should he swim?
grigory [225]

9514 1404 393

Answer:

  2/15 mi

Step-by-step explanation:

The difference of two fractions can always be computed using the pattern ...

  \dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bd}{bd}

Using this pattern to find the difference of 1/3 and 1/5, we see it is ...

  1/3 -1/5 = (5 -3)/(3·5) = 2/15

Saji must swim 2/15 miles further to complete his 1/3 mile swim.

4 0
3 years ago
The length a rectangle is 2 cm grater than its width .the area is the rectangle is 80 cm square what is the width of the rectang
maw [93]

Answer:

Step-by-step explanation:

If breadth =x

length =x+2

Area =length *breadth

Area =x(x+2)=80

X^2+2x-80=0

X^2 +10x - 8x - 80=0

X(x+10)- 8(x+10)=0

(X-8)(x+10)=0

X=8 or x=-10

X=8(since breadth cannot be a negative value x cannot be negative)

4 0
3 years ago
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