Answer:
A ≈ 113 in²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
= π × 6²
= 36π
= 36 × 3.14
= 113 in²
Given equations : Equation A: 4y -3x =16 and
Equation B: -x-8y =3.
We are given a<em> point (-5,0.25) plugging it in first equation</em>
4(0.25) -3(-5) =16
1+15 =16.
16 =16 <em>: Satisfies first equation.</em>
Plugging (-5,0.25) it in second equation.
-(-5)-8(0.25) =3.
5 - 2 = 3.
3=3 <em>: Satisfies first equation.</em>
<h3>Therefore, they are the only values that make both equations true.</h3>
To solve this problem, I am going to use the substitution method. To do this, we use our first equation given (s=4r-1) and substitute this given value for s (4r-1) and substitute it into the second equation so that we have an equation with only one variable. This is modeled below:
s = 4r - 1
6r - 5s = -23
6r - 5(4r-1) = -23
Now, we can solve this equation as we would any other equation, using the order of operations outlined by PEMDAS. To begin, we will distribute the factor of -5 through the parentheses on the left side of the equation.
6r - 20r + 5 = -23
Next, we should combine like terms on the left side of the equation:
-14r + 5 = -23
Next, we should subtract 5 from both sides of the equation to get the variable term alone on the the left side of the equation. We get:
-14r = -28
Finally, we should divide both sides by -14 to get the variable r alone on the left side of the equation.
r = 2
Now that we know that value for the variable r, we can substitute this value into one of our original equations (either one will work, but I am choosing to use the first one):
s = 4r - 1
s = 4(2) - 1
Now, we can find the value for s by using multiplication and then subtraction to simplify the right side of the equation.
s = 8-1
s = 7
Therefore, your answer is s = 7 and r = 2.
Hope this helps!
Answer:
8,400
Step-by-step explanation:
