Answer:
- slope: 1
- equation: y = x +3
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
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The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3
Answer:
20 miles with an error margin of ± 8 miles
Step-by-step explanation:
The margin of error of a result is the range in which an error can vary. To find the margin of error between both distances we have to
28-12 = 16, that is, the variation of the result has a range of 16 miles. So we will look for the midpoint of both distances
(X2-X1)/2+X1=(28-12)/2+12=16/2+12=8+12=20
So from this midpoint the value can vary between 8 points below and 8 points above that would cover the difference of 16 miles that we observed at the beginning
In this way, the correct answer is 20 miles with an error margin of ± 8 miles
Done
Answer:
a). y = 4.5
b) Scale factor = 
Step-by-step explanation:
a). Since, polygon Q is the scaled copy of polygon P
Both the figures will be similar.
Therefore, their corresponding sides will be proportional.
If x = 6,
y = 
y = 4.5
b). Since, polygon Q is the scaled copy of polygon P,
Polygon Q will be the image of preimage polygon P.
Scale factor = 
=
Since there are 6 sides to a cube we can divide the total surface area by 6 to find the area of a single side
384 / 6 = 64
since the side of a cube is a square the sides are the same length, so we need a number, that when multiplied by itself is 64. The answer is 8
