Answer:
<h2>4</h2>
Step-by-step explanation:
From first piece -6 < x ≤ 0.
From second piece 0 < x ≤ 4.
Therefore -6 < x ≤ 4 → x ∈ (-6, 4]
-7 ∉ (-6, 4]
-6 ∉ (-6, 4]
4 ∈ (-6, 4]
5 ∉ (-6, 4]
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)
Do 62 minus 3x-1. Whatever you get for that is the answer
Answer:
Step-by-step explanation: IDK
Given that Phil traveled with his family by car. They started their trip from Lexington to Louisville, driving directly west for 60 miles.
So AB=60
They then turned North, driving to Indianapolis which is 100 miles from Lexington.
So AC=100
Then, they turned to the West again, and drove to Decatur which which is 170 straight miles from Louisville.
so BD=170
Now we have to find about how many miles did they cover in total driving from Lexington to Decatur.
That means we have to find length of (AB+BC+CD)
We can use Pythogorean theorem to find the values of BC and CD.


then (AB+BC+CD)=60+80+150= 290
Hence final answer is miles.