At what point(s) do these graphs intercept?
y=x^2 +3x-5
y= 4x+1

(- 2, - 7) and (3, 13)

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 5 → (1)

y = 4x + 1 → (2)

Substitute y = 4x + 1 into (1)

x² + 3x - 5 = 4x + 1 ( subtract 4x + 1 from both sides )

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Substitute these values into (2) for corresponding values of y

x = 3 : y = 4(3) + 1 = 12 + 1 = 13 ⇒ (3, 13)

x = - 2 : y = 4(- 2) + 1 = - 8 + 1 = - 7 ⇒ (- 2, - 7)

The graphs intersect at (- 2, - 7) and (3, 13)

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

p

step-by-step explanation: