Answer:
Option C √32 is correct
Step-by-step explanation:
Here,
x₁ = 8
x₂ = 4
y₁ = (-3)
y₂ = (-7)
Now,
By Using Distance Formula
<em>D = √(x₂ - x₁)² + (y₂ - y₁)²</em>
<em> </em><em> </em><em> </em><em> </em>= √(4 - 8)² + [(-7) - (-3)]²
= √(-4)² + [(-7) + 3]²
= √16 + (-4)²
= √16 + 16
<u>D = √32</u>
Thus, The distance between (8, -3) and (4, -7) is √32
<u>-TheUnknown</u><u>S</u><u>cientist</u>
(x+2y)(x-5y)
do foil method:
x^2-5xy+2xy-10y^2
simplify x^2-3xy-10y^2,
so d is correct.
Answer:
c. observational study
Step-by-step explanation:
<em>Researchers compare the rates of autism for children who did and did not receive the standard measles-mumps-rubella vaccine, to see if the vaccine might be responsible for autism in some children.</em>
This study design in the above scenario is observational study because the researcher are obviously observing whether the vaccine is affecting the children. Note that Observational study is like experiment which attempts to understand the cause and effect relationships on a subject.
For this case we have the following function:
Where,
g: number of gallons of gas
M (g): number of miles that Danny's truck travels
We know that the maximum capacity is 20 gallons of gas.
Therefore, the maximum distance the truck can travel is given by:
Thus, the domain of the function is:
The range of the function is:
Answer:
A domain and range that are reasonable for the function are:
D. D: 0 ≤ g ≤ 20
R: 0 ≤ M (g) ≤ 340
Answer:
3 of the DVDs were documentaries.
Step-by-step explanation:
We know that at first, there were 15 DVDs in total.
Now, we need to find how much 1/5 of 15 DVDs were equal to.
1/5 of 15 is equal to the number 3.
So, that means our answer is 3 of the DVDs are documentaries.
Hope this helps.
