The area of a rectangular school yard is given by the equation x2 + 19x + 90 as measured in square yards. the teacher wants you to run the length. how far will you run if x = 30?

-4 or -15

Step-by-step explanation:

Let's solve your equation step-by-step.

x^2+19x+90=30

Step 1: Subtract 30 from both sides.

x^2+19x+90−30=30−30

x^2+19x+60=0

Step 2: Factor left side of equation.

(x+4)(x+15)=0

Step 3: Set factors equal to 0.

x+4=0 or x+15=0

x=−4 or x=−15

x=−4 or x=−15

1) is right

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet