What are the slope and the y-intercept of the linear function that is represented by the equation 8 x minus 2 y = 5?
1 answer:
Answer:
The slope is 4, and the y-intercept is Negative five-halves
Step-by-step explanation:
This is the equation of the line in standard form
8x-2y=5
Convert the equation in slope intercept form where
y=mx+b
m is the slope b is the y-intercept
Isolate the variable y
Subtract 8x both sides
-2y = -8x+5
Divide by -2 both sides
therefore
m=4
b=
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Answer:
250 ft.
Step-by-step explanation:
It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:
Now that we have this equation, we can use the <u>butterfly method</u> to solve for x. We <u>cross multiply</u>:
Now, all we have to do is <u>isolate</u> the variable to find x:
Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
Answer:
∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,
∅8=345°
Step-by-step explanation:
Data
r = 8 sin(2θ), r = 4 and r=4
iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°
according the graph 2, the cut points are:
I quadrant:
0+15° = 15°
90°-15°=75°
II quadrant:
90°+15°=105°
180°-15°=165°
III quadrant:
180°+15°=195°
270°-15°=255°
IV quadrant:
270°+15°=285°
360°-15°=345°
No intersection whit the pole (0)
