Answer:
16 runs.
Step-by-step explanation:
We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.
We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.
Since we know that formula for nth term of an arithmetic sequence is: 
, where,
,
,
,
.
Since on the first day Jessie scored 2 runs, so 
and difference between two consecutive terms is 2 (4-2=2), so d will be 2.
Upon substituting our values in arithmetic sequence formula we will get,
Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is .
Let us find the 8th term of sequence by substituting n=8 in our sequence formula.
Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.
Answer:
12
Step-by-step explanation:
A straight line is equal to 180. The line AB is 180 degrees. This means 174 + angle = 180 for the angle between point D and B. It must be 6 degrees. This is the same angle as the angle between point A and C.
Line CD is also straight and equal to 180. On the line are the angles, 4k + 90 + 3k + 6 = 180. Solve for k by combining like terms and then using inverse oeprations.
4k + 90 + 3k + 6 = 180
7k + 96 = 180
7k = 84
k = 12
I'm not sure about my answer,but still writing it...
= ³√4a⁶ - 2/a-³ - (a²)3/2
= a² × ³√4 - 2a³ - 3a²/2
Cann't think that it could be futher more evaluted
Answer:
BD = 12.1 (nearest tenth)
Step-by-step explanation:
∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.
BD divides ∆ABC into two equal parts.
Apply trigonometric ratio to find BD.
Reference angle = <BAD = 60°
Adjacent = AD = 7
Opposite = BD
Thus, we would have:
tan 60 = opp/adj
Tan 60 = BD/7
7*Tan 60 = BD
12.1 = BD
BD = 12.1 (nearest tenth)
When you factor (x^2-4x-5), you get (x+1)(x-5).
