Answer:
x intercept is 4 and the y intercept is -6
Step-by-step explanation:
x-int:
6x=24
x=4
y-int:
-4y=24
y=-6
Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn tomorrow if she works 10 hours at the same hourly rate. Answer:
Step-by-step explanation:
The solution to the problem is as follows:
<span>
cot θ = cos θ / sin θ </span>
<span>So sinθ * cot θ = cos θ after cancelling sin θ </span>
<span>Now cosθ + sin θ cot θ = cos θ + cos θ = 2 cos θ
</span>
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I believe you should try to plug in the ordered pair to see if the solutions work.
The ordered pair is (x,y) because x is on the x-axis and y is on the y-axis, therefore in (16,-3) the x=16 and y=-3.
Now substitute, meaning plug in those numbers into the equation.
For x+2y=10 would be 16+2(-3)=10
Now you just need to solve one side and see if it equals the other side.
16+2(-3)
First you use order of operations to solve this. PEMDAS. So you multiply 2(-3) first because of the parenthesis and it being multiplication.
16+(-6) and when you have a positive number adding a negative number it’s going backwards of the number line, basically meaning subtraction in a way. Sorry if this confuses you, if you already know how to do negatives and such nevermind this part.
But 16+(-6)=10
So now you look at both side of the equation, does the left side equal to the right? 10=10, so yes. It is a solution for that equation.
Now for the next equation, 7y=-21
Again, plug in the ordered pair (16,-3) into the equation. Remember that it’s (x,y).
There is no x in this equation so no need to worry about that; you only plug in y for this one.
7(-3) Now you multiply. Whenever you multiply a positive number and a negative number, the answer will always be negative. So 7(-3) is -21.
Now look if the left side is equivalent to the right. Does -21=-21? Yes. The ordered pair is a solution.
(16,-3) is a solution to both equations.
Hope this helps!
