The answers to this questions would be:
1. A-> (1.5, 1.5) 5. A and B-> 7 units
2. B-> (-2, -1.5) 6. C and D-> 3 units
3. C-> (-3.5, 2) 7. B and D-> 1 unit
4. D-> (0.5, 0) 8. A and D-> 8 units
-------------------------------- WORD PROBLEMS------------------------------------------
9. 8 feet
10a. (-4, -1) 10b. (4, 1)
Step-by-step explanation:
Line segment = EG
point on a line segment = F
EG = 100
EF = 4x - 20
FG = 2x + 30
a/q, EF + FG = EG
the equation is
4x - 20 + 2x + 30 = 100
now solution for x is
→ 4x - 20 + 2x + 30 = 100
→ 6x + 10 = 100
→ 6x = 100 - 10 = 90
→ x = 90/6 = 15
therefore, value of x is 15.
and according to given information
EF = 4x - 20 = 4(15) - 20 = 60 - 20 = 40
FG = 2x + 30 = 2(15) + 30 = 30 + 30 = 60
hope this answer helps you dear..take care and may u have a great day ahead!
Answer:
x=3 and y=4
Step-by-step explanation:
Answer:
Only the 3rd table shows a proportional relation between x and y.
Step-by-step explanation:
The first table is
x 2 3 5 6
y 3 4 7 9
Here y is not increasing in uniform rate with x. So, the relation is not proportional.
The second table is
x 4 6 8 10
y 6 8 10 12
Here y is increasing in uniform rate with x, but at x = 0, y ≠ 0, Hence, the relationship is not proportional.
The third table is
x 1 5 8 10
y 15 75 120 150
Here, y is increasing in uniform rate with x, and at x = 0, y = 0, Hence, the relationship is proportional.
The fourth table shows
x 3 9 10 15
y 1 3 4 5
Here also y is not increasing in uniform rate with x. So, the relation is not proportional.
Therefore, only the 3rd table shows a proportional relation between x and y. (Answer)
