Solving <span>8x-5y=10 for y helps us to identify the y-intercept:
-5y = -8x + 10. Dividing both sides by -5, we get (8/5)x -2. Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).
The equation </span><span>-6x-7y=-6 can be solved for its slope in the same manner.
7y = -6x + 6; then y = (-6/7)x + 6/7. Its slope is -7/6. A line perpendicular to this line has slope equal to the negative reciprocal of -7/6, which is 6/7.
So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>
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Answer:
q - p
Step-by-step explanation:
For complementary angles B and C, ...
cos(C) = sin(B) = p
sin(C) = cos(B) = q
Then the difference is ...
sin(C) -cos(C) = q - p
Answer:
a. Domain - x= all real numbers
b. Domain - x= all real numbers except 0
c. Domain - x= all real numbers
d. Domain - x= All real numbers
Step-by-step explanation:
The domain of a function is all the possible x values. It is easy to solve for domain by graphing the function.
a graph - blue
b graph - red
c graph - green
d graph - purple
Numbers are 5 and 7
Step-by-step explanation:
- Step 1: Let the two consecutive odd integers be x and x + 2. Their sum = 12
x + x + 2 = 12
2x + 2 = 12
2x = 10
x = 5
and x + 2 = 7
Answer: 16, rational
Step-by-step explanation: because its a real number