Answer:
Step-by-step explanation:
f(x) = 2x² + 14x - 4
= 2(x² + 7x) - 4
= 2(x² +7x + 3.5²) - 2(3.5²) - 4
= 2(x+3.5)² - 28.5
vertex (3.5, -28.5) = (7/2, -57/2)
The vertical intercept is the y-intercept, i.e., f(0) = -4.
The x-intercepts are the values of x for which y=0.
2x² + 14x - 4 = 0
x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27
Answer:
0.44
Step-by-step explanation:
Answer:
352
Step-by-step explanation:
8 x 6 x 8 = 384
384- (4 x 1 x 8)
384-32=352
Answer:
505.4 in²
Step-by-step explanation:
½d2= 19×tan 35° = 19×0.7 = 13.3 in
d2 = 2×13.3 = 26.6 in
d1 = 2×19=38 in
the area of Rhombus =
½×38×26.6 = 505.4 in²
Answer: 32.35 cm^2
Step by step:
Find the area of the rectangle first.
A= L • W
A= 11 • 4.2
A= 46.2 cm^2
Then find the area of the circle. The formula is A= pi (r)^2. The diameter of the circle is 4.2 cm because looking at the width of the rectangle it fits into the circle as well.
Half of the diameter is 2.1 cm which is the radius.
A= pi (r)^2
A= pi (2.1)^2
A= pi (4.41)
A= 13.85 cm^2
Then you would subtract 13.85 from 46.2 to find the shaded portion.
Hope this helps :))
