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Roman55 [17]
2 years ago
14

The sum of twice the number x and 25 more than three times the number y

Mathematics
1 answer:
inn [45]2 years ago
6 0

Answer:

Correct expression:

2x + 3y + 25

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Gina started with the circle (x−2)2+y2=16. She translated it 4 units left and 1 unit down. Then she reduced the radius by 1 unit
olchik [2.2K]

Answer:

(x + 2)² + (y + 1)² = 9

Step-by-step explanation:

Gina started with a circle with the given equation as,

(x - 2)² + (y - 0)² = 16

Since, standard equation of a circle is,

(x - a)² + (y - b)² = r²

Here (a, b) is the center of the circle and 'r' is the radius.

Therefore, from the given equation of the circle,

Center of the circle → (2, 0)

Radius of the circle → √16 = 4 units

She translated this circle 4 units left and 1 unit down.

Rule for the new center after translation will be,

(x, y) → (x - 4, y - 1)

(2, 0) → (2 - 4, 0 - 1)

         → (-2, -1)

Coordinates of the new center → (-2, -1)

Then she reduced the radius by 1 units.

Therefore, radius of the new circle = 4 - 1 = 3 units

Now we substitute these values in the standard equation of the circle to get the equation of the new circle.

(x + 2)² + (y + 1)² = 3²

(x + 2)² + (y + 1)² = 9

5 0
3 years ago
Determine which relation is a function.
choli [55]
Hello!

In a function, each input must have only one output. Outputs can have multiple inputs, but each input must have one output. For example, {(4,-1), (4,-2)<span>} is not a function, as 4 has two outputs.

In B, -2 has two outputs, 3 and 1, so it is not the answer.

In C, 3 has two outputs, 5 and 2, so it is not a function.

In D,-1 has two outputs, 1 and 5, so it will not work.

In A, each number has one output, so it is a function.

I hope this helps!</span>
6 0
3 years ago
Read 2 more answers
Guys I need help.....
kolezko [41]

Answer:

.224 / 7  = .032

Step-by-step explanation:

.224 / 7

7 goes into 2    0 times with 2 left over

7 goes into 22   3 times with 1 left over

7 goes into 14    2 times with 0 left over

.224 / 7  = .032

7 0
3 years ago
Read 2 more answers
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cu
serious [3.7K]

Answer:

y=5x+6

Step-by-step explanation:

Please see attached

5 0
3 years ago
Pete works as a door to door vacuum salesman and earns a base salary of $400 per week plus 8% commission on
ololo11 [35]

Answer:

$516.48

Step-by-step explanation:

Base salary is what Pete will be paid whether he makes a sale or not.

Sales commission is the percentage of the value of the sale that Pete makes which is added to his base salary.

Base salary = $400

Total sales last week = $1456

Commission = 8% of total sales

Commission of last week = 8% of $1456

= 0.08*1456 = $116.48

Gross salary = base salary + commission

= 400 + 116.48

= $516.48

5 0
3 years ago
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