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notka56 [123]
3 years ago
6

A photograph is reduced by a scale factor of 2/3. If the original length of the photograph was 6 inches, what is the length of t

he reduced photo?
A. 2 inches
B. 3 inches
C. 4 inches
D. 5 1/3 inches
Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0
The answer is c, 4 inches
6 x (2/3) = 4
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Use completing the square to solve for x in the equation (x-12)(x+4)= 9.
iragen [17]

Answer:

x = 4 + sqrt(73) or x = 4 - sqrt(73)

Step-by-step explanation by completing the square:

Solve for x:

(x - 12) (x + 4) = 9

Expand out terms of the left hand side:

x^2 - 8 x - 48 = 9

Add 48 to both sides:

x^2 - 8 x = 57

Add 16 to both sides:

x^2 - 8 x + 16 = 73

Write the left hand side as a square:

(x - 4)^2 = 73

Take the square root of both sides:

x - 4 = sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

x = 4 + sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

Answer:  x = 4 + sqrt(73) or x = 4 - sqrt(73)

4 0
3 years ago
Someone be as kind as to offer some help?
RideAnS [48]

Answer:

x = 4 and y = 0

Step-by-step explanation:

Using the elimination method:

4(-x + 5y=-4) --> -4x + 20y = -16.

Now we add -4x + 20y = 016 and 4x + 3y = 16. This gives us 23y = 0 or just y =0.

Now we can find x by plugging in y.

-4x + 0 = -16.

Divide by -4 on both sides -> x = 4.

If you want to double check you can plug your values into -4x + 20y = -16.

-4(4) +20(0) = -16.

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3 years ago
Given that HOP is similar to TAG, which of the following statements must be true? Check all that apply. A. sin T = sin H B. cos
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Pls. see attachment.

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3 years ago
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Find the equation of the line passing through the points (5,21) and (-5,-29)
Assoli18 [71]

Answer:

Look below

Step-by-step explanation:

lets have -29 be y2 and -5 be x2

21 - (-)29

5 - (-)5

Subtracting a negative is just adding it so

21 + 29   50
5 + 5       10

50/10

this simplified, is 5/1 or 5

y=5x+b

now we need to find b, so we substitute  y and y

x = 5

y = 21

21=5*5=b

5*5 is 25

now we need to get to 21


25 -4 is 21

b = -4

y=5x-4

3 0
2 years ago
A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?
Sladkaya [172]

Answer:

36 tiles

Step-by-step explanation:

Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:

81 = x²

So to find x, we must square root both sides of the equation:

\sqrt{81} = \sqrt{x^2}

x = 9

So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:

9 * 4 = 36

So there are 36 tiles along the edge of the room.

Hope this helps!

4 0
3 years ago
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