Answer:
y = -2x - 3
Step-by-step explanation:
Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2
y-intercept: 5 - (-2)(-4) = -3
A=LW
192=(13+x)((9+x)
192=117+22x+x^2 (subtract 192 from both sides)
x^2+22x-75+0 (factor)
(x+25)(x-3)=0
so x=-25 or 3
Check work
since we are adding x it can only be the positive solution so x=3 so the new dimensions are:
L=13+3=16m
W=9+3=12
check: 16*12=192 so the answer is correct hope this helped
Kirsten had to drive 5 miles north, and then turn to the east for 12 miles where she found a nice parking spot at the Movie Theater :)
If the image represents the road she drove, she did travel 5 + 12 miles, thus she finally travelled 17 miles.
Answers:
The second term is 2
The fifth term is 23
The ninth term is 51
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Explanation:
To find the second term, replace every n with 2 and use PEMDAS to simplify
a(n) = -5+(n-1)(7)
a(2) = -5+(2-1)(7)
a(2) = -5+(1)(7)
a(2) = -5+7
a(2) = 2
The second term is 2
Similarly, plug in n = 5 to get the fifth term
a(n) = -5+(n-1)(7)
a(5) = -5+(5-1)(7)
a(5) = -5+(4)(7)
a(5) = -5+28
a(5) = 23
The fifth term is 23
Finally, replace every n with 9 to find the ninth term
a(n) = -5+(n-1)(7)
a(9) = -5+(9-1)(7)
a(9) = -5+(8)(7)
a(9) = -5+56
a(9) = 51
The ninth term is 51