The perimeter of a right triangle is 60 feet and the area is 150 square feet. if the lengths of the sides of the triangle are each multiplied by 10, what is the perimeter of the new right triangle?

Step-by-step explanation:

We know that the perimeter of the triangle is 60 feet, that is, the sum of all three sides is 60 feet.

Now, if each triangle is multiply by 10, that means the perimeter would be increased ten time also.

Therefore, the perimeter would be 600 feet.

If you wanna use formulas, we have

Where represents the ares and represents the perimeter.

The area of a triangle is

Where and represent the legs of the right triangle.

Where represents the hypothenuse of the right triangle.

After increasing sides by a scale factor of 10, the perimeter would be

Which shows the increasing scaling factor, then we extract this common scale factor.

Which means that the perimeter increased is just the old perimeter multiplied by 10, as follows

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."