Answer:
(a + 4)(a + 6)
Step-by-step explanation:
f(a) = a² + 10a + 24
I think you are asking us to factor the quadratic.
1. Multiply the leading coefficient and the constant
1 × 24 = 24
2. Find two numbers that multiply to give 24 and add to give 10.
Possible pairs are 1, 24; 2, 12; 3, 8; 4, 6
Start with the numbers near the end of the list.
By trial and error, you will find that 4 and 6 work:
4 × 6 = 24 and 4 + 6 = 10
3. Rewrite 10a as 4a + 6a
a² +4a + 6a +24
4. Factor by grouping the first two and the last two terms
a(a + 4) + 6(a + 4)
5. Distribute the a + 4
(a + 4)(a + 6)
a² + 10a + 24 = (a + 4)(a + 6)
The answer is D. meter, second
You would want to measure the speed with distance/time, and D is the only answer with both a distance measurement and a time measurement
Answer:
Step-by-step explanation:
Triangle BCD is a right angle triangle.
From the given right angle triangle
BC represents the hypotenuse of the right angle triangle.
Taking 45 degrees as the reference angle,
BC represents the adjacent side of the right angle triangle.
BD represents the opposite side of the right angle triangle.
To determine BC, we would apply trigonometric ratio
Cos θ = adjacent side/hypotenuse side. Therefore,
Cos 45 = BC/2√2
√2/2 = BC/2√2
BC = 2√2 × √2/2
BC = 2
Answer:
101
Step-by-step explanation:
Find the area of the left triangle
11 -8 = 3
A = l*w = 15*3 = 45
Then find the area of the right triangle
A = l*w = 8*7 = 56
Add the areas together
45+56 =101
The range would be D is the answer
