Answer:
4
Step-by-step explanation:
The y-coordinate of the point where both lines intersect will give us the same solution for x.
At y = 4, both equations will have a corresponding x-value of 1.
Therefore, the value of y that that will make both equations have the same solution of x is 4.
The ratio in simplest form would be 1:2:2.
Hello from MrBillDoesMath!
Answer:
x = 2 and 10
Discussion:
Approach 1:
20 = (-10)*(-2) and (-10) + (-2) = -12 the coefficients of the polynomial. Hence
x^2 -12x + 20 = ( x- 2) * ( x-10)
Approach 2:
From the quadratic formula ( a = 1, b = -12, c = 20)
x = ( -(-12) +\- sqrt( ((-12)^2 - 4*1*20) ) / (2 * 1)
= ( 12 +\- sqrt( 144-80) ) /2
= (12 +\- sqrt(64) ) /2
= (12 +\- 8 ) /2
x = ( 12 + 8) /2 = 20/2 = 10
or
x = ( 12 - 8)/ 2 = 4/2 = 2
Thank you,
MrB
Answer:
m = 1/3, c = 2
Step-by-step explanation:
Explained in the paper
Answer:
(a) Circle Q is 9.4 units to the center of circle P
(b) Circle Q has a smaller radius
Step-by-step explanation:
Given
Solving (a): The distance between both
The equation of a circle is:
Where
P and Q can be rewritten as:
So, for P:
For Q:
The distance between them is:
Where:
--- 
--- 
So:
Solving (b): The radius;
In (a), we have:
--- circle P
--- circle Q
By comparison
<em>Hence, circle Q has a smaller radius</em>
