Using the Pythagorean theorem:
a^2 + b^2 = c^2
A and B are the sides and c is the hypotenuse.
4^2 + 5^2 = c^2
Simplify:
16+25 = c^2
41 = c^2
Take the square root of both sides:
c=√41
Answer (numbers needed in boxes, going from top to bottom):
1
-1
-3
3
Step-by-step explanation:
f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.
1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:
So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.
2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:
x = 0
x = -1
x = 2
1. The answer is two because if you factor what you can from the equation and then simplify, you are left with 2v+16=(v+8)(?), and by looking at it, the correct answer is two, or A. Review your work, make sure to check your answers before submitting
2. Since two simple factors of 8 are 4 and 2, and they add up to 6, the correct answer is (x+4)(x+2), or B
3. Again, two simple factors of 12 are -4 and -3, so the correct answer is (x-3)(x-4), or D
4. Basically, just factor the quadratic trinomial g^2-2g-24, which turns out to (G+4)(g-6), which is B
Answer:
60
Step-by-step explanation:
We use unit rate function,
Let h be hours
Let b be baskets
2.5h = 150b
We divide both sides by 2.5
2.5h/2.5 = 150b/2.5
Which will give us
h = 60
