Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
x = 5 x = 4
Step-by-step explanation:
Kite Area = (Diagonal 1 * Diagonal 2) / 2
Diagonal 2 = 2 * Kite Area / Diagonal 1
Diagonal 2 =2 * 60 / 15
Diagonal 2 = 120 / 15
Height = 8 inches
Answer:
Explanation:
The statement is expressed as
y
∝
1
x
inverse means
1
variable
To convert to an equation introduce k, the constant of variation.
y
=
k
×
1
x
⇒
y
=
k
x
To find k use the given condition that y = 8 when x = 4
8
=
k
4
⇒
k
=
4
×
8
=
32
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
32
x
2
2
∣
∣
∣
−−−−−−−−−−−−
x
=
16
→
y
=
32
16
⇒
y
=
2
when
x
=
16
The answer to the missing value is X = 3
<em>Denote x2 by y.
</em>
<em> </em>
<em>(x2-3)7=(y-3)7
</em>
<em> </em>
<em>This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8
</em>
<em> </em>
<em>You have 7 terms of (y-3) in (y-3)7. To get the fourth power of y, you need to choose y from four of the terms. The number of ways you can do this is the combinations of 7 things taken 4 at a time. This is:
</em>
<em> </em>
<em>7!/(4!3!)=35</em>
<em />
<em>So, the coefficient of x8 in the given expansion will be 210.</em>
<em>HOPE IT HELPS</em>
<em>THANK YOU </em>
