The slope of the line is (4-2) / (3-1) = 2/2 = 1
y - y1 = x - x1
here x1 = 1 and y1 = 2 :-
y - 2 = x - 1
y = x + 1 <---- Answer
Answer:
y = [-½]x + [-5]
Step-by-step explanation:
Equation describing how x and y are related can be written in slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using two pairs of values from the table, (-2, -4) and (0, -5),
Slope (m) = (-5 - (-4))/(0 - (-2)) = -1/2
m = -½
b = y-intercept = the value of y when x is 0 = -5
b = -5
✔️To write the equation, substitute m = -½ and b = -5 into y = mx + b
Thus:
y = [-½]x + [-5]
5Red + 6Blue + 4 Black
Total = 5 + 6 = 4 = 15
Probality of Blue, Blue.
P(Blue) = 6/15 = 2/5
P(Blue, Blue) = (2/5)*(2/5) = 4/25
The average speed of the truck is calculated by dividing the total distance traveled in a span of the total time given. From the given above, the total distance traveled is
total distance = 203 mi + 243 mi = 446 mi
and the total time it took for the whole trip is
total time = 3.5 h + 4.5 h = 8 h
The average speed is therefore,
average speed = 446 mi/8 h = 55.75 mi/h
Thus, the answer is letter A.
Answer:
The general equation following the pattern becomes is 7 + (n - 1)×2
Where, n = The figure number - 1
Step-by-step explanation:
The pattern in the question can be described as follows;
Figure 2 = (5 + 2) squares boxes = 7 squares boxes
Figure 3 = (5 + 2 + 2) squares boxes
Figure 4 = (5 + 2 + 2 + 2) squares boxes
Therefore, the number of squares boxes per figure, form an arithmetic progression (a + (n - 1)d) with the first term a = 7, the common difference d = 2, and the n = the nth term of the series, such that the general equation following the pattern becomes;
7 + (n - 1)×2.
