Answer:
- The y-intercept is (0, -37/7).
Explanation:
When you have one point and the slope of a line you can find its equation by using the point-slope form of the linear function:
- m = slope
- point = (a, b)
- point-slope equation: (y - b) = m (x - a).
Now substitute m = -1/7 and (a,b) = (5, - 6)
Solve for y:
- y = -(1/7)x - 37/7 ← this is the slope-intercept form of the equation.
The y-intercept is the point when x = 0. So, the corresponding y-coordinate is the constant term in the last equation:
And the y-intercept is the point (0, -37/7).
The sum of all interior angles in a polygon, regular or not, is
18(n - 2)
where "n" is how many sides are there in the polygon, now, notice, this polygon has 7 sides, so is a heptagon, so the sum of its interior angles will be 18(7 - 2) or 900.
now, subtract all other angles from 900, and what's leftover is "x".
Answer:
m = 21, b = 28
Step-by-step explanation:
1. The equation is written in slope-intercept form, meaning it follows this equation: y = mx + b.
2. As you can see, 21 is the value plugged in where m is, and 28 is the value plugged in where b is.
Therefore, m = 21, and b = 28.
Answer:
A solution set is solving equations and plugging in the values.
<h3>
Answer: </h3><h3>Fred has <u>20 students</u> and Lee has <u>22 students</u></h3>
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Work Shown:
L = number of students in Lee's class
F = number of students in Fred's class
Lee has 1.1 times as many students compared to Fred
This means we have this equation
L = 1.1F
Whatever the value of F is, we multiply that by 1.1 to get the value of L
The two amounts L and F add to 42 total students
L+F = 42
1.1F + F = 42 .... replace L with 1.1F
2.1F = 42
F = 42/(2.1)
F = 20 .... Fred has 20 students
L = 1.1*F
L = 1.1*20
L = 22 .... Lee has 22 students
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Check:
L+F = 22+20 = 42
this confirms the answer