Answer: x = 4
Step-by-step explanation: 4x^2−32x+64=0
4(x−4)(x−4)=0
x−4=0 x−4=0
x=4
the answer is A.336
Explanation:
There are 8 choices for awarding first prize.Then there are 7 choices for awarding second prize.And there are 6 choices for awarding third prize.
Therefore, there are: 8 *7 *6 =336 ways.
645 feet.
Explanation:
We know that are 3 feet in a yard, so let's set up a proportion to solve this
x215
3 feet n
-------- = -----------
1 yard 215 yards
x 215
We are solving for n. To get from 1 to 215, we multiply by 215. So to get from 3 to the answer, we must multiply by 215 as well. 3 x 215 = 645, therefore that is the answer.
Answer:
Area of the triangle is 10 square units
Step-by-step explanation:
Recall that the formula for the area of a triangle is: "base x height / 2", and in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:
Area = 4 x 5 / 2 = 10 square units.
