Will mark brainliest, need help asap! Build and sketch each expression below as a rectangle if possible. Then write an equation showing that the area is equal to the product of its side length factors. Check by multiplying the factors to get the original expression. If the expression can not be built as a rectangular area, explain why no rectangle exists and thus why the expression cannot be factored.

a. 2x^2 + 7x + 6

b. 6x^2 + 7x + 2

c. x^2 + 4x + 1

d. 2xy + 6x + y^2 + 3y

The amount of money, in dollars, in an account after t years is given by a = 1000(1.03)^t. the initial deposit into the account was $_^a0 and the interest rate was _a1% per year. only enter numbers in the boxes. do not include any commas or decimal points^t. the initial deposit into the account was $__^a0 and the interest rate is % per year.

1. are the corresponding angles congruent 2. find the ratios of the corresponding sides 3. is triangle jkl congruent to triangle rst? if so what is the scale factor

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)