Answer is –4/5
Rearrange the equation to make y the subject
5y = –4x – 35
y = –4/5 x – 7
If the line is parallel to the other line, they both have the same gradients but different y-intercepts, so the gradient is just as is.
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!
Answer:
x=2.66
Step-by-step explanation:
6x=60-10y-8z
x=(60-10*2-8*3)÷6
x=(60-20-24)/6=16/6=2.66
Answer:
<u>-289 degrees</u>
Step-by-step explanation:
You are looking for what is called <u>Coterminal Angles</u>.
To find a coterminal angle between 0 and 360 you <u>add or subtract</u> 360.
- In this case, we subtracted 360 from 71
- 71 - 360 = -289
- tan(-289) = 2.90
- If TAN 71 = 2.90 and TAN -289 = 2.90, you know -289 is your answer.
Hope this helps!! Please mark Brainliest!!!