Answer:
4 in
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides. Solve this problem by writing that relationship using the given information, then solving the equation for the missing side.
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5² = 3² + ?²
25 = 9 + ?² . . . . . simplify
16 = ?² . . . . . . . . . subtract 9
4 = ? . . . . . . . . . . . take the square root
The missing length is 4 inches.
Answer:
B. 6
Step-by-step explanation:
have a good rest of ur day :)
Answer:
f(x) = |x| - 7
Step-by-step explanation:
The given equation is g(x) = |x|......... (1)
The vertical translation by 7 units down will not change the value of x, the only change will be in the value of g(x).
The vertical translation by 7 units down will change the value of g(x) by [g(x) + 7] in the left-hand side of the equation (1).
Therefore, the equation will become g(x) + 7 = |x|
⇒ g(x) = |x| - 7.
Otherwise we can represent the function as some other name say f(x).
So, f(x) = |x| - 7. (Answer)
Answer:
$ 4.75
Step-by-step explanation:
In this case we can solve it using a 2x2 system of equations, like this:
let x: price of drinks
let y: bags of popcorn price
SW:
3 * x + 5 * y = 26.75
9 * x + 2 * y = 18.50 => x = (18.5 - 2 * y) / 9
Replacing, we are left with that:
3 * (18.5 - 2 * y) / 9 + 5 * y = 26.75
6.167- 0.67 * y + 5 * y = 26.75
- 0.67 * y + 5 * y = 26.75 - 6.167
4.33 * y = 20,583
y = 20,583 / 4.33
y = 4.75
Now to calculate x:
x = (18.5 - 2 * 4.75) / 9
x = 1
That is, the value of the drinks is $ 1 and the value of bags of popcorn is $ 4.75
So what you want to do is add 2 to the x-coordinates and subtract 4 from the y coordinates
A(4, -2)
B(1, -3)
C(5, -2)
D(6, -4)
Hope this helps!
