Answer: option d) (1/16) (42 - x)
Explanation:
1) You forgot to include the table.
This is the table:
Rate time distance
(mi / min) (min) (mi)
up the hill 1/12 x (1/12)x
down the hill 1/16 42-x ?
2) You also forgot to include the set of answerchoices. This is it:
a) x
b) -x
c) 42 - x
d) (1/16) (42-x)
3) Solution:
The missing value is the distance of the trip down the hill.
The distance is the rate times the time, i.e.:
distance = rate * time
the rate is given as 1/16, and the time is given as 42 - x, so the distance is:
distance = (1/16) (42 - x), which is the answer.
Answer:
1 2/7
Step-by-step explanation:
Quotient means division
-3/7 ÷-1/3
Copy dot flip
-3/7 * -3/1
9/7
7/7 + 2/7
1 2/7
Answer:
10
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
x + 4 = 3(3x - 4)
Distribute
x+4 = 9x -12
Subtract x from each side
x+4 -x = 9x-x-12
4 = 8x-12
Add 12 to each side
4+12 = 8x-12+12
16 = 8x
Divide by 8
16/8 = 8x/8
2 =x
The equation of a circle is given as:
(x-a)^2 + (y- b)^2 = r^2 where (a, b) is the center.
(x-9)^2 = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4 ------ (ii)
r^2 = 49 ------ (iii)
Adding equation (i) and (iii)
x^2 + y^2 - 18x + 4y + 85 -----(iv)
Equating equation (iv) and (iii)
<span>x^2 + y^2 - 18x + 4y + 85 = 49
Arrange the equation:
</span> <span>x^2 + y^2 - 18x + 4y + 36 = 0
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I hope this helps
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