Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4
Answer:
The distance between their house on the map is 10 inches.
Step-by-step explanation:
In order to calculate the distance from Jeremy's friend house to his we can apply a rule of three in a way that 60 miles is related to "x" inches in the same proportion as "1 1/2" inches is related to 9 miles. Before applying that it'll be for the best if we convert the mixed fraction to a pure fraction as shown below:
Creating the rule of three:
The distance between their house on the map is 10 inches.
Answer:
1. 617.5 cm³
2. 335.6 in³
3. 151.6 m³
4. 3479.1 ft³
Step-by-step explanation:
1.
B1: 19.5 × 9 = 175.5
B2: 6 × 13 = 78
sqrt(B1 ×B2) = 117
h = 5
Volume = ⅓ × 5 × [175.5 + 78 + 117]
617.5
2.
B1: 3.14 × 4.5² = 63.585
B2: 3.14 × 3² = 28.26
sqrt(B1 ×B2) = 42.39
h = 7.5
Volume = ⅓ × 7.5 × [63.585 + 28.26 + 42.39]
335.5875
3.
B1: ½(8+12) × 6 = 60
B2: ½(3+4.5) × 2.25 = 8.4375
sqrt(B1 ×B2) = 22.5
h = 5
Volume = ⅓ × 5 × [60 + 8.4364 + 22.5]
151.5625
4.
B1: 3.14 × 12² = 452.16
B2: 3.14 × 7² = 153.86
sqrt(B1 ×B2) = 263.76
h² = 13² - (12-7)²
h² = 13² - 5²
h² = 144
h = 12
Volume = ⅓ × 12 × [452.16 + 153.86 + 263.76]
3479.12
Answer:
y = -3
Step-by-step explanation:
A horizontal line has all the same y values, but changing x values
y must equal -3 all the time if it goes through (3,-3)
y = -3
Answer:
The answer is A. Check the picture attached.
Step-by-step explanation:
