Let
x-------> one number
y--------> another number
we know that
x=6y--------> equation 1
(1/x)+(1/y)=14/3-----> (x+y)/xy=14/3-----> 3*(x+y)=14xy-----> equation 2
<span>I substitute 1 in 2
</span>3*(6y+y)=14(6y)y------> 21y=84y²-----> y=0.25
x=6y-----> x=6*0.25-----> x=1.5
the answer is
the numbers are 1.5 and 0.25
You can find the inverse of an equation by swapping the x and y, then solving for y.
f(x) = 4x - 12 f(x) is the equivalent of y in this case, so change it to a y
y = 4x - 12 Swap the x and y variables
x = 4y - 12
Solve for y
x = 4y - 12 Add 12 to both sides
x + 12 = 4y Divide both sides by 4
+ 3 = y Switch the sides to make it easier to read
y =
+ 3 Change y back into f(x) to match what you were given
f(x) =
+ 3
Answer:
1.64×10⁷ km
Step-by-step explanation:
We know this is a triangle rectangle, so we apply the Pythagorean Theorem
QR=sqrt(PR²+PQ²)
Solving it, we will encounter in
sqrt(2.56×10¹⁴+1.296×10¹³)
to solve it, we need to bring the two numbers at the same power of ten, so we move 1.296 of one place to the left:
sqrt(2.56×10¹⁴+0.1296×10¹⁴)
we can now add the two numbers:
sqrt(2.6896×10¹⁴)
to solve this, we do the square root of 2.6896 and divide 14 by two (the index of the root is 2, so for roots' properties we can divide 14 by 2 - the index)
which gives us
1.64×10⁷
.00045-2.5×10^-5
= 4.5 x10^-3 - 2.5 x10^-5
= 4.25 x10^-4