The value of z if x = 36 and y = 6 is 42
<h3>Direct and inverse variation</h3>
Suppose that y varies directly with x and inversely with z, hence the required expression will be:
y = kx/z
If y = 4 when x = 8 and z = 14 then;
4 = k(8)/14
8k = 56
k = 7
To find z when x = 36 and y = 6, we will have:
6 = 7(36)/z
1 = 7(6)/z
z = 42
Hence the value of z if x = 36 and y = 6 is 42
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Hello!
We know what the base and area of the parallelogram are, but the height is still unknown. We also know that the formula for the area is:
A = bh
Meaning we multiply the base by the height to find the area. The opposite of multiplication is division, so we must divide the area by the base to find the height. (We work in the opposite way).
B = a / h
B = 700 cm² / 35 cm
B = 20
We can double check by multiplying 20 by 35, and the product should result in 700.
20 * 35 = 700
Therefore, the height of the parallelogram is 20 centimetres.
Answer:
hope it helps you..,.....,..........
The answer is <span>(-1, -6)
</span>
Let's go through all choices:
1. (x, y) = (-10, 17)
x + y = 7
-10 + 17 = 7
17 - 10 = 7
7 = 7
So, these points lie on the line.
2. (x, y) = (<span>13/3, 8/3)
</span>x + y = 7<span>
13/3 + 8/3 = 7
(13 + 8)/3 = 7
21/3 = 7
7 = 7
</span>So, these points lie on the line, too.
3. (x, y) = <span>(-1, -6)
</span>x + y = 7
-1 + (-6) = 7
-1 - 6 = 7
-7 ≠ 7
So, these points DO NOT lie on the line.
C
Explanation:
That’s where the vertex of the slope will be
