Find VT

If RT = 5x - 14 and US = 2x + 10 find VT

The length of the segment VT is 13 and this can be determined by using the properties of a rectangle and the given data.

Given :

The following steps can be used in order to determine the length of the segment VT:

Step 1 - The diagonals of the given rectangle are equal.

Step 2 - So, the value of 'x' can be calculated as:

Step 3 - Simplify the above expression.

Step 4 - So, the length of the segment VT can be calculated as:

The length of the segment VT is 13.

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VT = 13 units

Step-by-step explanation:

The diagonals are congruent and bisect each other, that is

RT = US , substitute values

5x - 14 = 2x + 10 ( subtract 2x from both sides )

3x - 14 = 10 ( add 14 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

Thus

RT = 5x - 14 = 5(8) - 14 = 40 - 14 = 26

VT = 0.5 × RT = 0.5 × 26 = 13

1) is right

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.