The vase of the triangle would be x because it is unknown and the height would be x+2 because it is 2 more units than the base the formula for the area of a triangle is (base)(height)% 2 =area so (x)(x+2)%2=12 so then you have 1/2x^2+x=12 at this point I would move the 12 to the other side by subtracting to get 1/2x^2+x-12=0 then I would multiply it all by 2 to get x^2 + 2x-24 from there I would factor to get (x+6)(x-4) and your answers would be x= -6 and 4 and because 6 is negative it would not work because distances are always positive so the base would equal 4
Since molly's solution tally's with the given solution, hence <em>Molly's solution is correct.</em>
Given the working on a partial product of 93 and 51 carried out by Molly as shown:

This partial product can also be solved as shown below:

Applying the distributive law:

Since molly's solution tally's with the given solution, hence <em>Molly solution is correct.</em>
Learn more about partial product at: brainly.com/question/24716925
First of all, you add 1/3 and 4/5, so you get:

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:


Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:


That's the sum of 1/3 + 4/5.
Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:


Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15.
Hope this Helps! :D
Answer:
16 meters
Step-by-step explanation:
The height function is given by:

The value of x, in seconds, for which the derivate of the height function is zero, is the time at which the maximum height occurs:

For x = 3 seconds, the height is:

The maximum height that the ball will reach is 16 meters.
Use this rule: <em>(x^a)^b = x^ab</em>
3(x + 2)^3/5 + 2 = 27
Subtract 3 from both sides
3(x + 2)^3/5 = 27 - 3
Simplify 27 - 3 to 24
3(x + 2)^3/5 = 24
Divide both sides by 3
(x + 2)^3/5 = 24/3
Simplify 24/3 to 8
(x + 2)^3/5 = 8
Take the cube root of both sides
x + 2 = 3/5√8
Invert and multiply
x + 2 = 8^5/3
Calculate
x + 2 = 2^5
Simplify 2^5 to 32
x + 2 = 32
Subtract 2 from both sides
x = 32 - 2
Simplify 32 - 3 to 30
<u>x = 30</u>