A triangle has side lengths of (x-8) (4x2 – 3) and (4x2 + 4).
If the perimeter is 650 units, what is the value of x?​

Given:

The three sides of a triangle are:

The perimeter of the triangle 650 units.

To find:

The value of x.

Solution:

Perimeter of a triangle is the sum of all three sides of the triangle. So,

The perimeter of the triangle 650 units.

Splitting the middle term, we get

Using zero product property, we get

For negative value of x, the side will be negative, which is not possible because the side of a triangle cannot be negative.

Therefore, the only value of x is 9.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

cut 138 centimeters off

step-by-step explanation:

250-112 = 138