Step-by-step explanation:
a.) the given term can be written as
=
=
=
hence the given term is
where b = 3
b.)
=
=
=
=
hence the given term is 12
Parallel lines have the same slope, so since you want a line that is parallel to a line with slope -8, your line will also have slope -8.
The slope-intercept form of the equation of a line is
y = mx + b
where m is the slope, and b is the y-intercept.
You already know you have a slope of -8, so m = -8, and you have
y = -8x + b
Now you need to find the value of b.
Use the point you know and substitute it in for x and y, and solve for b.
y = -8x + b
Use x = -8, and y = 2.
2 = -8(-8) + b
2 = 64 + b
-62 = b
b = -62
Now replace b with -62.
y = -8x + b
y = -8x - 62
Answer:
I believe it would be (1,0)
Step-by-step explanation:
<u>It has been a while since I took geometry</u>, but I believe the function rule would be to add 4 to the Y value of all points and negate the X value.
That being said, C has an x value of 0, and a y value of -3.
-3 + 4 = 1
-(0) = 0
Therefore, the x value would remain unaffected, and the y value becomes 1.
Hope this helps! Keep in mind this is not a 100% definitely correct answer, but from what I remember this would be the new value.
2x + 5 = 0.5x - 1
(Multiplying by 2 cause I hate fractions/decimals)
4x + 10 = x - 2
3x + 10 = -2
3x = -12
x = -4
Y = 2x + 5
Y = 2(-4) + 5
Y = -8 + 5
Y = -3
Y = 0.5x - 1
Y = 0.5(-4) - 1
Y = -2 - 1
Y = -3
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40 minutes is 2/3 of an hour.
30 miles per hour x 2/3 hour = 20 miles.
30 minutes = 1/2 hour.
60 miles per hour x 1/2 hour = 30 miles.
Total = 20 + 30 = 50 miles.
