9514 1404 393
Answer:
3. 7
Step-by-step explanation:
The distance formula applies in 3 dimensions as well as 2.
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)
d = √((-2)² +6² +3²) = √(4 +36 +9) = √49
d = 7
The distance between the two points is 7 units.
If Two Angles in a Triangle are Equal, Then Sides Corresponding to those Angles are also Equal
From the Figure, We can Notice that ∠C = ∠B
⇒ Length of AC = Length of AB
⇒ 2x - 24 = x - 2
⇒ x = 24 - 2
⇒ x = 22
We have that This equation simply state that P as a Function of A is equal to 0.97
From the question we are told that
P(A) = 0.97.
Generally
This equation simply state that P as a Function of A is equal to 0.97
i.e P is a Constant equation and A is a variable that changes P to 0.97
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Answer:
5/2
Step-by-step explanation:
Convert both fractions into improper fractions:
- To convert these fractions into an improper fraction you need to multiple the denominator with the mixed numeral/whole number. Then add that amount to the numerator. Do this for both fractions. This is what it should look like.
38/6 - 23/6.
The you subtract it
- 38/6 - 23/6 = 15/6
15/6 is your answer
If you want to simplify it the fraction it will be :
- 5/2
Answer: 4*sqrt(66)
This is the same as saying 
===========================================================
Explanation:
x = length of segment BD
Because BD is an altitude of triangle ABC, this means the triangle is split into two smaller right triangles which are similar to the original. All three right triangles are similar to one another.
What this leads to is the proportion
CD/BD = BD/AD
Apply substitution and solve for x.
24/x = x/44
24*44 = x*x .... cross multiply
1056 = x^2
x = sqrt(1056)
x = sqrt(16*66)
x = sqrt(16)*sqrt(66)
x = 4*sqrt(66)
Notice how I factored 1056 in such a way that I pulled out the largest perfect square factor (16). Then I used the rule 
to break up the root.
