Answer:
See explanation
Step-by-step explanation:
Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).
Find the slopes of all sides:
- horizontal line
- slope undefined, so the line is vertical
- horizontal line
- slope undefined, so the line is vertical
Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle
Answer:
here's your answer
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Answer:
m= -1/2, (0,5), (10,0)
Step-by-step explanation:
Let us write it in slope intercept form, y=mx +b where m is the slope:
2x+4y=20
4y= -2x+20
y= -1/2x+5
Therefore, the slope is -1/2
The y intercept can be found when we substitue 0 as x.
y= -1/2*0 +5
y=0+5
y=5
(0,5)
The x intercept can be found when we substitute 0 as y.
0=-1/2x+5
-5 =-1/2x
x= 10
(10, 0)
<em>I hope this helped! :)</em>
Answer:
19.5
Step-by-step explanation:
78÷4
=39÷2
=19.5
The Answer is 19.5
Question:
A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x )dollars per tie, where
MP(x) =1.85 + 0.12x - 0.0024x². Also, the shop will lose $65 per day at a sales level of x= 0. Find the profit from operating the shop at a sales level of x ties per day.
Answer:
P(x) = 1.85x + 0.06x^2 - 0.0008x^3 - 65
Step-by-step explanation:
MP(x) = 1.85 + 0.12(x) - 0.0024(x^2)
At sales level, x=0, loss = $65
P(0) = - $65
Integrating MP(x) with respect to x
P(x) = ∫MP(x) dx = ∫ 1.85 + 0.12(x) - 0.0024(x^2)
P(x) = 1.85x + 0.06x^2 - 0.0008x^3 + C
Therefore :
P(x) = 1.85x + 0.06x^2 - 0.0008x^3 - 65
