Answer:
The equation of the line is: 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
Then
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
The equation of the line is:
Hey so we would collect like terms: 5m+8
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The answer is 9 you have to multiply 1/4 three times which gives you 1/64 then you take 576 and multiply it by 1/64 which gives you 9. Hope this helps.
<h3>Answers:</h3>
The probability of not drawing a red marble is 7/10
The probability of drawing a red marble is 3/10
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Explanation:
We have 3 red marbles out of 5+2+3 = 10 total. Therefore, the probability of selecting a red marble is 3/10.
The probability of not selecting a red marble is 7/10 because 3/10+7/10 = 1. Put another way, we have 7 marbles that aren't red (the 5 blue and 2 black ones) out of 10 total.
Answer:
L' = 26cm
W' = 39cm
Step-by-step explanation:
a) Given the dimension of the shape;
length L = 10cm
Width W = 15cm
After dilating by a scale factor os 2.6
New length L' = 2.6(10) = 26cm
New width = W' = 2.6(15) = 39cm
Hence the length of each sides of the dilated image are 26cm and 39cm
b) The new image will be similar to the given image but of with the resulting length gotten in (a).
