The slope intercept form of equation of required line is y = 3x + 9
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If 
is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = 
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope = 3
The line passes through (8, 33)
Equation of required line
y - 33 = 3(x - 8)
y - 33 = 3x - 24
y = 3x - 24 + 33
y = 3x + 9
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Answer:
10 more students chose purple than red as their favorite color
Step-by-step explanation:
Step 1
Determine the proportion of students that chose each color
purple=26%
red=22%
Step 2
Use the expression for the number of students per color as follows;
Number of students per color=proportion per color×total number of students
for purple;
proportion that chose purple=26%
total number of students=250
replacing;
Number of students that chose purple=(26/100)×250=65 students
for red;
proportion that chose red=22%
total number of students=250
replacing;
Number of students that chose purple=(22/100)×250=55 students
Step 3
Difference=65-55=10
10 more students chose purple than red as their favorite color
Answer:
1/2
Step-by-step explanation:
According to pythagoras theorem;
(sinx)²+(cosx)² = 1
Given that sinФ = √3/2
Substitute into the formula
(√3/2)²+(cosx)² = 1
3/4+(cosx)² = 1
(cosx)² = 1 - 3/4
(cosx)² = 1/4
cos x = √1/4
cos x = 1/2
Hence the value of cosФ is 1/2
I think x = 5, because you need to find the ratio between the two triangles.
Answer:
its a.
Step-by-step explanation:
