Answer:

Step-by-step explanation:
Probability is found by dividing the number of favorable outcomes by the total number of outcomes.

For this problem, the favorable outcome is selecting a blue or green marble. There are 8 outcomes for this because there are 6 outcomes for blue and 2 fr green.
The total outcomes are all the marbles. Each marble could be an outcome, so there are 13 outcomes (1 for each marble).

This fraction cannot be reduced, so the probability of selecting a blue or green marble is <u>8/13.</u>
Answer:

Step-by-step explanation:

-1 horizontally = 1 units left (the x-axis)
9 vertically = 9 units up (y-axis)
*Black line: is the preimage
*Red line is the translation
Hope this helps!
D :)
Because the y values are the same, all we need to take into account is the difference in the length of the x values.
Answer:
3 1/2
Step-by-step explanation:
Given that:
Angel lives 3 3/4 blocks to the east of school
Tyrone lives 7 1/4 blocks to the west of Tyrone
Nadeem lives 8 blocks to the east of Tyrone.
Determining each of their homes in terms of distance from school :
Angel = 3 3/4 blocks from school
Tyrone = 7 1/4 blocks to the west of angel
Hence, distance from school will be :
7 1/4 - 3 3/4 = 3 1/2 blocks to the west of school
Nadeem = 8 blocks to the east of Tyrone :
Distance from school will be:
8 - 3 1/2 = 4 1/2 to the east of school.
Hence, 3 1/2 to the west of school is the closet distance of the three.
Hence, Tyrone lives closest to school
Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):

Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2