Answer:
14 miles
Step-by-step explanation:
1) D
2)
3) B
4 ) F
5)C
6) F
7) D
8) C
I'm not sure about questions 4 and 7, but they may be correct.
I couldn't because I couldn't see the 2nd question
Answer:
15th term =29/3
16th term = 31/3
Step-by-step explanation:
Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .
First we find the 15th term
n=15
a1=1/3
d=1 - 1/3 = 2/3
Solution
1/3+(15-1)2/3
1/3+28/3
(1+28)/3
29/3
Lets find the 16th term
1/3+(16-1)2/3
1/3+30/3
(1+30)/3
31/3
Answer:
√85
Step-by-step explanation:
for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)
// use the pythagoream theorem to find the length
the distance of the leg on the x-axis is 6 (calculate 0-(-6))
the distance of the leg that is dropping down is -7 (calculate 0-(-7))
then we have 2 legs and need to find the hypotenuse.
Pythagorean theorem a^2 + b^2 = c^2
substitute :
6^2 + 7^2 = c^2
36+49 = 85
c= √85
We can find the value of x through a proportion. Since these two triangles are similar, their sides are in proportion.
4 is to 12 as 5 is to x
Remember to say 12, not 8! 8 is only part of the whole side. We can also simplify 4 is to 12 to 1 is to 3.
1/3 = 5/x
Cross multiply
x = 15
Hope this helps!
