<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
~Hello There!~
The formula to find the area of a circle is:
We already know this answer, so we write it as:
We need to calculate the radius (r) from this so divide both sides by 
Square root this to get r
r = 3.949327085
The formula for circumference is 
(d is the diameter )
Double the radius to get the diameter:
d = 7.89865417
Multiply this value by to get the answer
The circumference is 24.81435391
Hope This Helps You!
Good Luck :)
Have A Great Day ^_^
- Hannah ❤
Median = 75 because that is where the middle line of the box is.
First quartile = 70 because that is what the left edge of the box represents.
Third quartile = 85 because the right edge of the box indicates that.
Maximum = 100 because at the far right is the maximum data point of your data set.
The middle 50% of that data is between 70 and 85 because those are the values the box covers. It goes from the first quartile, 70, and stretches all the way to the third quartile 85.
Hi there!
Since ST is a tangent to the circle, we can use the relationship: tangent squared = external secant segment x entire secant segment.
WORK:
(I will be using x in place of ST)
x^2 = 7(23 + 7)
x^2 = 7(30)
x^2 = 210
x = squareroot(210) or approximately 14.5 inches
Hope this helps!! :)
Answer:
6
Step-by-step explanation:
9 ^3 =3^m
(3^2) ^3 =3^m
3 ^(2×3)=3^m
3 ^6 =3 ^m
m =6
