Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
So we are using the denominator 20.
1/2 of 20 would be 10.
So, out of 20 we multiply it by 10 since it is our numerator.
Now, we have converted it to 100/200.
Freshman : 100 students
Sophomores : 10 students
Juniors : 20 students
Seniors : 70 students
Answer:
see the explanation
Step-by-step explanation:
we know that
If the absolute value of the scale factor is less than 1, then the dilation produces a contraction of the original image
If the absolute value of the scale factor is greater than 1, then the dilation produces an expansion of the original image
so
<u><em>Verify each value</em></u>
1) -4
therefore
The dilation produces an expansion of the original image
2) 0.25
therefore
The dilation produces a contraction of the original image
3) -2/3
therefore
The dilation produces a contraction of the original image
4) 2.3
therefore
The dilation produces an expansion of the original image
Step-by-step explanation:
15 dollar for each
15*70*12
then 84*70
total amount. the above
The expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)
and 2(-0.5(1.7))
<h3>Distributive law of expansion</h3>
Given the expression below;
-0.5 (1.7 + 1.7)
According to the distributive law;
A(B+C) = AB + AC
Expand
-0.5(1.7) + (-0.5)(1.7)
-0.5(1.7) - 0.5(1.7)
2(-0.5(1.7))
Hence the expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)
and 2(-0.5(1.7))
Learn more on distributive law here: brainly.com/question/25224410
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