Answer:
The answer to your question is the letter A.
Step-by-step explanation:
Data
Center = (2, 3)
radius = 2
Process
1.- Find the equation of the line
(x - h)² + (y - k)² = r²
-Substitution
(x - 2)² + (y - 3)² = 2²
-Simplification
(x - 2)² + (y - 3)² = 4
-Evaluate the points in the equation
A. (4, 3)
(4 - 2)² + (3 - 3)² = 4
2² + 0 = 4
4 = 4 This point lies in the circle
B (-1, 0)
(-1 - 2)² + (0 - 3)² = 4
-3² + (-3)² = 4
9 + 9 = 4 This point is not part of the circle
C. (1, 3)
(1 - 2)² + (3 - 3)² = 4
(-1)² + (0)² = 4
1 = 4 This point is not part of the circle
D. (3, 4)
(3 - 2)² + (4 - 3)² = 4
1² + 1² = 4
2 = 4 This point is not part of the circle
Answer:
Please see attached graph.
Step-by-step explanation:
The equations for straight lines are given as:
i) y = x +4
ii) y= x-4
Yon can form a table for values of x and y that are true for an equation and use these values as coordinates ( x,y ) to plot the graphs and view the lines to select the correct labels for the equations.
For i)
y= x+4
x y coordinates
-3 1 (-3,1 )
-2 2 (-2,2)
-1 3 (-1,3)
0 4 ( 0,4)
1 5 ( 1,5)
2 6 ( 2,6)
3 7 ( 3,7)
Plot the points on a graph tool and draw the line. Do the same for the second equation to view both graphs as shown in the attached graph.
Answer:
Step-by-step explanation:
new length=15+x
width=19+x
then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²
original area=15×19=285 ft²
then 285+98=x²+34x+285
or
x²+34x-98=0
x²+34x+17²=98+17²
(x+17)²=98+289=387
x+17=√387=3√43
x=3√43-17 ft
It would take 10 hours just like it did for Karl .
Answer:
y = 4x + 6
Step-by-step explanation:
Turn the equation we are given into slope-intercept form.
y - 5 = -1/4(x + 8)
y - 5 = -1/4x - 2
y = -1/4x + 3
The slope of a perpendicular line is the opposite reciprocal of the original line.
-1/4 -> 4/1 -> 4
Find the new y-intercept using the point given.
y = 4x + b
2 = 4(-1) + b
2 = -4 + b
6 = b
Fill in everything we solved for.
y = 4x + 6
Best of Luck!
