Answer:
y = ½x - 11
Step-by-step explanation:
The equation of the line that goes through (8, -7) and is parallel to -2x + 4y = 100, will have the same slope as the line, but different y-intercept (b).
Let's find the slope of -2x + 4y = 100 by rewriting in the slope-intercept form.
-2x + 4y = 100
Add 2x to both sides
4y = 2x + 100
Divide both sides by 4
y = 2x/4 + 100/4
y = ½x + 25
The slope of the given line is ½. Since the line that goes through (8, -7) is parallel to -2x + 4y = 100, therefore the slope (m) is also ½.
To find the y-intercept (b), substitute m = ½, x = 8, and y = -7 into y = mx + b.
-7 = ½(8) + b
-7 = 4 + b
-7 - 4 = b
-11 = b
b = -11
Substitute m = ½ and b = -11 into y = mx + b to get the equation of the line that is parallel to -2x + 4y = 100.
y = ½x + (-11)
y = ½x - 11
Answer:
diamond
Step-by-step explanation:
just is bruh
Step-by-step explanation:
1. m(angle A) is 90 degrees............[ tangent drawn from the centre of the circle is always perpendicular to the circle]
2.m(angle C) is also 90 degrees....[ tangent drawn from the centre of the circle is always perpendicular to the circle]
3. m(angle 1) is 57 degrees, angle A is 90 degrees, .....(given)
m(angle 4) + m(angle 1) + angle A = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 4) = 180 - ( 57 + 90)
= 33 degrees
4. m(angle 3 ) is 63 degrees, m(angle C) is 90 degrees, .........[given]
m(angle 3) + m(angle 2) + angle C = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 2) = 180 - ( 63 + 90)
= 27 degrees
The domain of the graph is (0, 20)
<h3>How to find the domain of a graph?</h3>
The domain of a function is the set of all possible inputs for the function.
Domain are all the values that go into a function.
The domain of the graph are the values of the x coordinates.
The domain are called the input or independent variables.
The independent variable does not depend on any variable to get it values.
Therefore, the domain of the graph is (0, 20)
learn more on domain here: brainly.com/question/27242650
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Answer: b. histogram
Step-by-step explanation:
A histogram is a graphical summary of data previously summarized in a frequency distribution. It is an accurate representation of the distribution of numerical data, the height of each bar shows how many fall into each range(the frequency of each range). Data from a frequency distribution table can be easily summarised graphically on a histogram.
An example of histogram is shown in the attachment