Yes (2,5) is a solution to the system of equation
2+2 (5)=12
2+10=12
12=12
2(2)+2(5)=14
4+10=14
14=14
We know that formula for circumference is 2πr
Since we have circumference of 2π, that would means 2π = 2πr.
We need to solve for r. We can divide both sides by 2π:
2π / 2π = 2πr / 2π
1 = r
So radius is 1.
Now the formula for area of circle is πr². So plug in r=1 and that would be
π(1)²
π
So area of circle is π.
Hope this helps.
Let <em>a</em> and <em>b</em> be the two numbers. Then
<em>a</em> + <em>b</em> = -4
<em>a b</em> = -2
Solve the second equation for <em>b</em> :
<em>b</em> = -2/<em>a</em>
Substitute this into the first equation:
<em>a</em> - 2/<em>a</em> = -4
Multiply both sides by <em>a</em> :
<em>a</em>² - 2 = -4<em>a</em>
Move 4<em>a</em> to the left side:
<em>a</em>² + 4<em>a</em> - 2 = 0
Use the quadratic formula to solve for <em>a</em> :
<em>a</em> = (-4 ± √(4² - 4(-2))) / 2
<em>a</em> = -2 ± √6
If <em>a</em> = -2 + √6, then
-2 + √6 + <em>b</em> = -4
<em>b</em> = -2 - √6
In the other case, we end up with the same numbers, but <em>a</em> and <em>b</em> are swapped.
Answer:
y=3/5x+3
Step-by-step explanation:
m=(9-6)/(10-5)=3/5
y=3/5(x-5)+6
y=3/5x+3
I think (0,4) in this problem is weird.
Answer:
<h2>
y = - x </h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -1
(-5, 5) ⇒ x₀ = -5, y₀ = 5
The point-slope form of the equation:
y - 5 = -1(x + 5)
So:
y - 5 = -x - 5 {add 5 to both sides}
y = -x ← the slope-intercept form of the equation
