Answer:
y = -51 ÷ x
Step-by-step explanation:
The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.
So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x
K = constant, we have to work this out
-3 = k ÷ 17
-3 × 17 = k
k = -3 × 17
k = -51
k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x
Answer:
"She lost her whey"
Step-by-step explanation:
Answer:
7x²+6x-6
Step-by-step explanation:
1 Combine similar terms
x²+5x+6x²+x-6
7x²+5x+x-6
2 Combine similar terms
7x²+5x+x-6
7x²+6x-6
Answer:
a.
perimeter of rectangular = 2 times length + 2 times wide = 2L + 2W = 2 (L + W)
since L is x m and W is y meter, then
perimeter = 2 (L + W) = 2 (x + y)
p = 2(x + y)
<em>(the correct is actually this one</em>
<em>70 ≤ 2(x+y) ≤ 96</em>
b. minimum perimeter
to find minimum perimeter, use the minimum length (which is 20) and minimum wide (which is 15)
p(min) = 2 * ( x(min) + y(min))
p(min) = 2 * (20 + 15)
p(min) = 2 * (35) = 70
c. maximum perimeter
to find maximum perimeter, use the maximum length (which is 30) and maximum wide (which is 18)
p(miax) = 2 * ( x(max) + y(max))
p(max) = 2 * (30 + 18)
p(max) = 2 * (48) = 96 m
Answer:
x =8
y = 4sqrt(2)
z = 4sqrt(2)
Step-by-step explanation:
The easiest one to calculate is x
If it is a 45 -45-90 degree triangle then AB = BC=x
Since AB =8 then BC =8 and x=8
The next easiest to calculate is z
If it is a 45 -45-90 degree triangle then AD = BD=z
Using the Pythagorean theorem
z^2 +z^2 = 8^2
2z^2 =64
Divide by 2
x^2 = 32
Taking the square root of each side
z = sqrt(16)sqrt(2)
z=4sqrt(2)
Finally, we can find y
If it is a 45 -45-90 degree triangle then BD = DC
BD =z =4 sqrt(2) = DC = y
Therefore y =4 sqrt(2)
