Answer:
21. The slope is 50.
22. 0
23. y=50x
24. $2600
Step-by-step explanation:
21. The slope of the line is 50. Slope is defined as "rise over run". As the line increases, each segment moves up the y-axis by $50, and to the right on the x-axis 1 segment. (Work: 50 divided by 1)
22. The y-intercept is (0, 0), or simply 0. If you look at the graph you can see that the line crosses the y-axis at the origin. This makes the y-intercept equal to 0.
23. The slope tells you that the student makes $50 every week. The y-intercept is 0. Using the formula y=mx+b, an appropriate equation would be y=50x.
24. The equation found in problem 23 can me used to determine how much a student makes (y) after "x" weeks. Substitute 52 for x to solve for y. This becomes y=50(52). This can be simplified to y=2600. This means that after 52 weeks, the student will have made $2,600.
For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.
Using the Pythagorean theorem we can calculate the diagonal of the square:
X = SQRT(5^2 + 5^2)
X = SQRT(25 + 25)
X = SQRT(50)
X = 7.07
The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .
how about this maybe hai♥️
Step-by-step explanation:
first we need to find the slope of the line.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.
we see here
x changes by -4 (from -4 to -8).
y changes by +3 (from -5 to -2).
so, the slope is +3/-4 = -3/4
there are two main forms for the equation of a line :
the slope-intercept form
y = ax + b
and the point-slope form
y - y1 = a(x - x1)
where "a" is the slope, and (x1, y1) is a point on the line.
we can pick any point, and I would pick (-4, -5).
so we get as point-slope form
y + 5 = -3/4 × (x + 4)
or for the slope intercept form we simplify the point-slope form
y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3
y = -3/4 x - 8
