Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
Answer:
74°
Step-by-step explanation:
A supplementary angle is when two angles add up to 180°, so 180° - 106° = 74°
pls love me and have a great day <3
Use the Pythagorean theorem:
Let x = the height.
2^2 + x^2 = 7.5^2
Simplify:
4 + x^2 = 56.25
Subtract 4 from both sides:
x^2 = 52.25
Take the square root of both sides:
x = 7.2284 m Round the answer as needed.
Answer:
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Answer:
x=10, x=-10
Step-by-step explanation:
8|x| + 6 = 86
8|x| = 86 - 6
8|x| = 80
|x| = 80/8
|x| = 10
∴ x=10, x=-10
Remember that the absolute symbol turns all number inside of it positive, so |-10| = 10 and |10|=10 too.
