Answer:
k = 2
Step-by-step explanation:
Fill in the given point values and solve for k.
y = (1/2)x + k
1 = (1/2)(-2) +k . . . . . . for x = -2, y = 1
1 = -1 +k . . . . simplify; next, add 1
2 = k
Answer:
a and d
Step-by-step explanation:
Answer:
The area of Ralph's dog pen is 2.05 times larger than the area of Ruth's dog pen.
Step-by-step explanation:
Given that the dog pen for Ruth's dog is 7 feet long and 6 / 1.3 feet wide, while her friend Ralph's dog pen is 14 feet long and 6 / 1.2 feet wide, to determine how many times larger is the area of Ralph's dog pen, the following calculation must be performed:
1/3 = 0.333
1/2 = 0.5
7 x 6.333 = X
44,333 = X
14 x 6.5 = X
91 = X
44,333 = 100
91 = X
91 x 100 / 44.333 = X
9,100 / 44,333 = X
205.26 = X
100 = 1
205.26 = X
205.26 / 100 = X
2.05 = X
Thus, the area of Ralph's dog pen is 2.05 times larger than the area of Ruth's dog pen.
Answer:
Step-by-step explanation:
Eliminate the y terms by adding the equations together:
-10y+9x = -9
10y+5x = -5
——————-
14x = -14
x = -1
y = 0
