F(x) = 2x^2 + 2
f(5) = 2(5^2) + 2
f(5) = 2(25) + 2
f(5) = 50 + 2
f(5) = 52
Answer:
I think the answer is ten
Answer: C is the correct statement " In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent"which completes the proof .
Step-by-step explanation:
Given: A figure shows a rectangle ABCD having diagonals AC and DB.
Anastasia wrote the proof given in picture to show that diagonals of rectangle ABCD are congruent.
We can see the Statement 2 which tells that AB=CD, opposite sides of a rectangle are congruent. In Statement 3 she used Pythagoras theorem to show AC²= BD² by using Statement 1 and 2.
Thus we can see she need to introduce two triangles named as ACD and BCD and the remaining sides to write the proof is AD=BC with correct reason i.e. opposite sides of a rectangle are congruent.
Therefore Statement 1 would be In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent.
Answer: Probability = 44%
Step-by-step explanation:
To find the probability of finding 2 black balls in a row, we first need to find the probability of finding 1 black ball at a time.
To do that, we need to divide the amount of total black balls by the number of total balls.
Black balls = 6
Total balls = 3 + 6 = 9
6 divided by 9 = 0.(6)
If you multiply 0,(6) by 100%, it will give you 66% (rounded) of getting a black ball.
Now, to find the chances of getting 2 black balls in a row, we need to multiply
by
. What we are doing is squaring the chances of getting one black ball, by the number of times we want to get it.
That is equal to 0,(4)
Multiply 0,(4) by 100%, and it will give you 44%(rounded) chances to get a black ball 2 times in a row.
Probability = 44%
Hope I Helped!