2x + 3y = 9
x + 5y = 8....multiply by -2
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2x + 3y = 9
-2x - 10y = -16 (result of multiplying by -2)
---------------add
-7y = - 7
y = -7/-7
y = 1
x + 5y = 8
x + 5(1) = 8
x + 5 = 8
x = 8 - 5
x = 3
solution is (3,1)
Answer:
Step-by-step explanation:
Given
x + 9 = 16
x = 16 - 9
x = 7
hope it will help :)
Answer:
Distance is
Step-by-step explanation:
<u><em>Use the distance formula:</em></u>
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Q1. Flip counts numbers that are in the sequence ...
777 - 8n . . . . . for some positive integer n
This expression can be factored as ...
8(97 -n) +1
which is to say that the numbers in Flip's sequence are 1 more than a multiple of 8. The number among the answer choices that matches that description is ...
129 = 16·8 +1 . . . . . corresponding to 97-n = 16, or n = 81
Flip counted the number 129.
___
Q2. Let a and p represent the costs of an apple and a pear, respectively. Then we have ...
Substituting the expression for "a" in the second equation into the first equation, we get
5(p +0.15) = 6p
5p + 0.75 = 6p
0.75 = p
Then 12p = 12·$0.75 = $9.00 is the cost of 6 pears and 5 apples (since 5 apples cost the same as 6 pears).
The cost of interest is $9.00.
Answer:
Verify the following identity:
sec(x) sin(x) + csc(x) cos(x) = tan(x) + cot(x)
Write cotangent as cosine/sine, cosecant as 1/sine, secant as 1/cosine and tangent as sine/cosine:
1/cos(x) sin(x) + 1/sin(x) cos(x) = ^?cos(x)/sin(x) + sin(x)/cos(x)
Put cos(x)/sin(x) + sin(x)/cos(x) over the common denominator sin(x) cos(x): cos(x)/sin(x) + sin(x)/cos(x) = (cos(x)^2 + sin(x)^2)/(cos(x) sin(x)):
(cos(x)^2 + sin(x)^2)/(cos(x) sin(x)) = ^?cos(x)/sin(x) + sin(x)/cos(x)
Put cos(x)/sin(x) + sin(x)/cos(x) over the common denominator sin(x) cos(x): cos(x)/sin(x) + sin(x)/cos(x) = (cos(x)^2 + sin(x)^2)/(cos(x) sin(x)):
((cos(x)^2 + sin(x)^2)/sin(x))/cos(x) = ^?(cos(x)^2 + sin(x)^2)/(cos(x) sin(x))
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Step-by-step explanation: