Answer:
B. 1.14, -0.77
Step-by-step explanation:
As you know the quadratic formula gives you the solution to
ax² + bx + c = 0
as ...
![x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Here, we have a=8, b=-3, c=-7, so the formula tells us the solution is ...
![x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(8)(-7)}}{2(8)}=\dfrac{3\pm\sqrt{233}}{16}\\\\x\approx \{-0.7665,1.1415\} \qquad\text{matches choice B}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-%28-3%29%5Cpm%5Csqrt%7B%28-3%29%5E2-4%288%29%28-7%29%7D%7D%7B2%288%29%7D%3D%5Cdfrac%7B3%5Cpm%5Csqrt%7B233%7D%7D%7B16%7D%5C%5C%5C%5Cx%5Capprox%20%5C%7B-0.7665%2C1.1415%5C%7D%20%5Cqquad%5Ctext%7Bmatches%20choice%20B%7D)
Answer:
x>12
Step-by-step explanation:
6. Answer:
72.84
Step-by-step explanation:
To find the perimeter of the rectangle, just add the sides together except the one connected to the semicircle
12 + 15 + 15 = 42
The diameter of the semi circle is 12
πr + d = 6 * π + 12 ≈ 30.84
Add them together
42 + 30.85 = 72.84
7. Answer:
78.54
(78.5)
Step-by-step explanation:
The shape is a circle
Radius is 5
Diameter is 10 (diameter is always double of the radius)
π * r^2 = π * 25 cm^2 = 78.54 cm^2
8. Answer:
50.27
Step-by-step explanation:
The shape is a circle
Radius is 4
Diameter is 8 (diameter is always double of the radius)
π * r^2 = π * 16 ft^2 = 50.27 ft^2
(16 = 8 * 2)
Answer:
480 m²
Step-by-step explanation:
A = bh/2
A = 64 m × 15 m / 2
A = 480 m²
Answer:
5 x 2
Step-by-step explanation:
5 x 2 is the answer because it says she ran 5 miles and took 2 hours to complete!