We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x
use the pythagorean theorem (a^2+b^2 = c^2) and solve for x
a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7
Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35
Toss out the negative length as it makes no sense.
The only value of x is x = 7
Therefore the final answer is x = 7
Answer: (-28,-4)
Step-by-step explanation:
Multiply the x and y coordinate values by the scale factor to find the image.
-7 * 4 = -28
-1 * 4 = -4
(-28,-4)
Answer:
Dimensions of photo excluding border:
x = 11 inches
y = 6 inches
Step-by-step explanation:
Let the length be 'x' and width be 'y'.
The width of a photo is 5 inches less than its length, that is:
x-5 = y
let 'X' be length of photo including border and 'Y' be the width of photo including border:
Where X = x+2 and Y = y+2
Now , we have X-5 = Y
and X*Y = 104 square inches
*putting Y = X-5*
X(X-5) = 104



⇒ X-13 = 0 or X+8 = 0
Hence X = 13 or X = -8
As length can not be negative, X = 13 inches
Y = X-5 = 13-5 = 8 inches
Dimensions of photo excluding border:
x = X - 2 = 13-2 = 11 inches
y = Y-2 = 8-2 = 6 inches
Answer:
3 cups of sugar and 6 cups of sugar
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Step-by-step explanation: