Y=mx+b where m=slope which is change in y divided by change in x m=(-8-7)/(4-9)=-15/-5=3 so we have y=3x+b now we can use either point, I'll use (9,7), to solve for b or the y-intercept... 7=3(9)+b 7=27+b b=-20so our line is: y=3x-20
The sum of the angles equal 180 degrees, so we plug the angle values into an equation:
3a + 2a - 25 = 180.
By combining like terms, this becomes:
5a - 25 = 180
Now, if we add 25 to both sides to isolate a, we get:
5a = 205
Finally, we need to divide both sides by 5 to find a, and we get:
a = 41
Yay! Now we have a. Now we just plug them into the original values! So:
2(41) - 25
Multiply out:
82 - 25
The first angle is equal to 57.
Then we use the second angle:
3(41)
Multiply out:
123
The second angle is equal to 123.
Hope this helps!
~Chrys
Answer:
one
Step-by-step explanation:
Answer:
Find the minimum and maximum values of the objective function subject to the given constrants. Objective function: C= 2x + 3y
Constraints:
x>0
y>0
Comment: These two conditions tell you the answers are in the 1st Quadrant.
-----------------------------
x +y < 9
Graph the boundary line: y = -x+9
Solutions points are below the boundary line and in the 1st Quadrant.
Answer:
106
Step-by-step explanation:
The diameter of the wheel is 15 cm or 0.15 m.
The circumference of the wheel is 0.15π m ≈ 0.47 m.
So the wheel moves 0.47 m with each revolution.
The wheel travels 50 m, so the number of revolutions is:
(50 m) / (0.47 m/rev) ≈ 106 revolutions.
