The legs of an isosceles triangle are (3x^2+4x+2) inches and the base is (4x-5) inches. Find the perimeter.

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides (legs) and two equal interior angles

The perimeter of triangle is equal to  the sum of its three length sides

so

----> remember that the two legs are equal

Eliminate parenthesis

Combine like terms

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!