Can someone please answer this quickly and correctly? 20 points!

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

The missing side is 7 in

Explanation:
The information we have to know in order to solve this is that the formula of area of trapezoid is
a = 1/2h (b1 + b2)

We can fill in the information we know from the picture into the equation
15 = 1/2(3.4) (1.8 + b2)

The dimension we are solving for is b2, or base 2. To make it easier, let's replace b2 with n. Now we can solve this equation

1) Multiply 1/2 by 3.4, which is 1.7
15 = 1.7 (1.8 + n)

2) Distribute by doing 1.7 x 1.8 + 1.7 x n
15 = 17n + 3.06

3) Subtract 3.06 from both sides of the equation
15 - 3.06 = 17n + 3.06 - 3.06
11.94 = 17n

4) To isolate n, since we want one n instead of 17, we divide both sides by 17
11.94/17 = 17n/17
7 = n

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Find all the zeros of x^3-5x^2-x+5

AnnyKZ [126]

The fact that the coefficients are pairwise identical (except for sign) tells you that x^2 -1 is a factor (and x-5 is the other factor). Of course, you recognize x^2-1 as a special form (the difference of squares) that is factored as (x +1)(x -1).

The zeros are x = -1, +1, +5.

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A graphing calculator confirms this.