Answer:
3 ft
Step-by-step explanation:
Ladder = 12 ft
Distance between base of the ladder and the building = 5 ft
a² + b² = c²
a² + 5² = 12²
a² = 12² - 5²
a² = 144 - 25
a² = 119
a = √119
a = 3.3 ft
a = 3 ft (nearest ft)
Answer:
y= -10
Step-by-step explanation:
y=3x-4
y=3*(-2)-4
y= -6-4
y= -10
Answer:
20,365.7 seconds
Step-by-step explanation:
First, we need to know how to convert yards to miles, as the question is in miles. We know that 1 mile is equivalent to 1760 yards. So we have:
1 mi = 1760 yards
If we multiply both sides by 81:
81 mi = 142,560 yards
And we know that the sprinter needs 8 second to run 56 yards:
8 s = 56 yards
If we divide both sides by 56 we get the time he needs for 1 yard:
8/56 s = 56/56 yards
1/7 s = 1 yard
So, takes him 1/7 seconds to run one yard. At this rate he runs 142,560 yards in:
(1/7) * 142,560 = 20,365.7
So, he needs 20,365.7 seconds to run 81 miles (142,560 yards)
If Frank is planting <em>b</em> seeds in one and <em>5b + 10</em> in the other, the expression showing the total is b + (5b + 10), or 6b + 10 seeds.
Answer:
f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -5x⁹ - x⁸ + 3x³ - 8
g(x) = -5x⁹ - 5x³ - 5x² + 5
<u>Step 2: Find f(x) - g(x)</u>
- Substitute: f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 - (-5x⁹ - 5x³ - 5x² + 5)
- Distribute -1: f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 + 5x⁹ + 5x³ + 5x² - 5
- CBT (x⁹): f(x) - g(x) = -x⁸ + 3x³ - 8 + 5x³ + 5x² - 5
- CBT (x³): f(x) - g(x) = -x⁸ + 8x³ - 8 + 5x² - 5
- CBT (Z): f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13
And we have our final answer!