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n200080 [17]
3 years ago
15

How much does Manuela earn for each hour of tutoring? Explain

Mathematics
2 answers:
ki77a [65]3 years ago
6 0

Answer:

$10 an hour.

Step-by-step explanation:

The x-axis is the hour and the y-axis is the money. When the line is above the 1 hour line, it is on the $10 line.

aksik [14]3 years ago
6 0

Answer:

Manuela earns $10 for each hour of tutoring.

Step-by-step explanation:

We can get our answer by looking at an ordered pair in the graph below.

(2,20)

The x-value 2 means 2 hours worked and the y-value 20 means $20 earned. We can find out how much she earned in 1 hour by dividing,

$20 / 2 hours = $10

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Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0
antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

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3 years ago
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A piano has 52 white keys. Write and use an equation to find the number of octaves on a piano keyboard.
Firdavs [7]
There are 7 keys in each octave (C,D,E,F,G,A and B) so it would make sense to divide 52 to 7.
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3 years ago
Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'
Virty [35]

Scale factor is a ratio. The correct option is C.

<h3>How are scale drawings formed?</h3>

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

\rm 1\:  ft : \dfrac{s}{k}\:  in.

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

The length of AB can be written as,

AB = √[(1-4)²+ (1-1)²]

AB = 3

Since the length A'B' is 6 units, therefore, the scale factor will be,

Scale factor = (Length after transformation)/(Length before transformation)

Scale factor = 6 /3 = 2

Hence, the correct option is C.

Learn more about Scale factors:

brainly.com/question/8765466

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When lines meet or cross at the same point they are called
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I don’t know tbhhh .
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Answer:

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