Answer:
y = 4/3
x = 2
Step-by-step explanation:
2x − 3y = 2
x = 6y − 5
x - 6y = -5
2x − 3y = 2 | ×1 |
x - 6y = -5 | ×2 |
2x − 3y = 2
2x - 12y = -10
____________--
9y = 12
y = 12/9
y = 4/3
2x − 3y = 2
2x - 3(4/3) = 2
2x - 4 = 2
2x = 2 + 4
2x = 6
x = 6/3
x = 2
6 1/4 because 9 1/2 - 3 1/4= 6 1/4
You can also use the distance formula
Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-8)^2=5^2
(x-3)^2+(y-8)^2=25
General for of the equation for the circle:
(x)^2-2(x)(3)+(3)^2+(y)^2-2(y)(8)+(8)^2=25
x^2-6x+9+y^2-16y+64=25
x^2+y^2-6x-16y+73=25
x^2+y^2-6x-16y+73-25=25-25
x^2+y^2-6x-16y+48=0
Answer: The general form of the equation for the circle is:
x^2+y^2-6x-16y+48=0
Answer:
See Attachment for graph
Step-by-step explanation:
Given
Point C
Required
Plot C when dilated by 1/2
First, we have to determine the coordinates of point C
From the attached graph;
Next, is to determine the new point when dilated;
This is calculated as thus;
Expand the bracket
This implies that C' will be plotted at x =0 and y = 3
<em>(See attached for point C')</em>
Answer:
A. (-2, 1)
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.
