Answer:
F
Step-by-step explanation:
Hopefully this helps
When a line is a tangent to a circle then the point of a tangent on a circle is perpendicular and also equal to the radius
So for perpendicular.
4y + 3x - 44 = 0
So, a = 4
b = 3
c = -44
x = 5
y = 1
Putting the values in the formula, we get
P = -4.2
Since the radius of the circle 5 is not equal to P, The line is not a tangent to the circle.
Answer:
y = -½x + 4
Step-by-step explanation:
1 = -½[6] + b
-3
4 = b
2y + x = 4 →2y = -x + 4 >> y = -½x + 2 [parallel to the above equation]
Parallel lines have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>].
I am joyous to assist you anytime.
**I have a video that explains how to find the y-intercept, Perpendicular Equations, and Parallel Equations. I encourage you to watch the video to gain alot more knowledge from it, so you can better understand the concept. It is the second longest.
Answer: 1 song is 1.3 the total cost of 25 songs would be 33.75
Combine the 2nd and 3rd equations. 3x will disappear:
2y + 5z = 7 This is true for any y and z, and is independent of x.
7-5z
Solving for y, 2y = 7 - 5z, so that y = ---------
2
We have to eliminate x again by using the 1st and 2nd equations:
-2x - 6y - 2z = -2. We want the coeff. of x in the first eqn to be -3.
Therefore, mult. all terms of -2x - 6y - 2z = -2 by 3/2:
(3/2)(-2x - 6y - 2z = -2) = -3x -9y -3z =-3
Now add this version of the 1st row to the 2nd row:
-3x -9y -3z =-3
3x +2y +5z = 7
----------------------
-7y + 2z = 4
7 - 5z
We found earlier that y = ----------, and can elim. y by subst. this fraction into
2
-7y + 2z = 4. Then -7y + 2z = 4 becomes -7( (7-5z)/2 ) + 2Z = 4.
Elim. the fraction by mult. all terms by 2:
-7(7-5z) + 4z = 8 which becomes -49 + 35z + 4z = 8
so that 39z = 57, and so z = 57/39.
Subst. this back into -7y + 2z = 4 to calculate y. Make a final subst. to calculate x.
Given the choice, I would solve this system using matrices.
Turns out that the solution, using matrices, does not exist.
