<h3>
Answer: 9</h3>
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Work Shown:
a = unknown = leg #1
b = 12 = leg #2
c = 15 = hypotenuse
Plug those values into the pythagorean theorem and solve for 'a'
a^2 + b^2 = c^2
a^2 + (12)^2 = (15)^2 .... substitution
a^2 + 144 = 225
a^2 = 225 - 144 ... subtracting 144 from both sides
a^2 = 81
a = sqrt(81) .... applying square root to both sides
a = 9
Answer:
Step-by-step explanation:
1). Coordinates of Art → (1, -5).
Coordinates of Library → (1, 9)
Coordinates of Science → (-5, -5)
Distance between Art and Library = 
= 
= 14 units
Distance between Art and Science = 
= 6 units
Since 14 > 6,
Art is closer to Science than Library.
Answer is False.
2). Coordinates of Cafeteria → (-7, 9)
True.
Answer:
-1/3
Step-by-step explanation:
If you divide rise over run you will do the equation -1 divided by 3 which is equal to -1/3
Answer:
7/3 is constant of proportionality and, 3/7 of a cup of red paint should be added to 1 cup of white paint.
Step-by-step explanation:
Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
To make color pink,
for every 3 cups of red , we need 7 cups of white.
Let 'r' be the cups of red required
let 'w' be the cups of white required
so , as per the question
for 3 r we need = 7 w
r = 7/3 w
so, 7/3 is constant of proportionality and, 3/7 of a cup of red paint should be added to 1 cup of white paint.
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