Answer:
7.5 unit square
Step-by-step explanation:
7.5 unit²
Step-by-step explanation:
Refer to attached
Find the y-intercept:
x = 0 ⇒ y = 4*0 - 8*0 - 5 = - 5
Find the x-intercepts:
y = 0 ⇒ 4x² - 8x - 5 = 0
4x² - 8x + 4 - 9 = 0
4(x - 1)² = 9
(x - 1)² = 9/4
x - 1 = 3/2 ⇒ x = 2.5
x - 1 = - 3/2 ⇒ x = - 0.5
We have vertices of the triangle at:
(- 0.5, 0), (2.5, 0) and (0, -5)
Base of the triangle is:
2.5 - (-0.5) = 3
Height of triangle:
0 - (-5) = 5
The area is:
A = 1/2bh
A = 1/2*3*5 = 7.5
Answer:
7.5 unit²
Step-by-step explanation:
find x and y intercepts
x = 0 ⇒ y = 4*0 - 8*0 - 5 = - 5
y = 0 ⇒ 4x² - 8x - 5 = 0
4x² - 8x + 4 - 9 = 0
4(x - 1)² = 9
(x - 1)² = 9/4
x - 1 = 3/2 ⇒ x = 2.5
x - 1 = - 3/2 ⇒ x = - 0.5
We have vertices of the triangle at:
(- 0.5, 0), (2.5, 0) and (0, -5)
Base of the triangle is:
2.5 - (-0.5) = 3
Height of triangle:
0 - (-5) = 5
The area is:
A = 1/2bh
A = 1/2*3*5 = 7.5
