Answer:
(5,6) , (5,-2)
Step-by-step explanation:
Let the required point be P(5,y).
Its distance from (2,2) is 5 units.
So, + = 25.
So, + = 25.
9 + = 25.
= 16
Two cases are possible for now
case 1 : y-2 = 4 .
y = 6
required point will be (5,6)
case 2 : y - 2 = -4.
y = -2.
required point will be (5,-2).
Two points are possible : (5,6) , (5,-2).
Answer:
( - , - )
Step-by-step explanation:
Given the 2 equations
8x = 2y + 5 → (1)
3x = y + 7 → (2)
Rearrange (2) expressing y in terms of x by subtracting 7 from both sides.
y = 3x - 7 → (3)
Substitute y = 3x - 7 into (1)
8x = 2(3x - 7) + 5 ← distribute and simplify right side
8x = 6x - 14 + 5
8x = 6x - 9 ( subtract 6x from both sides )
2x = - 9 ( divide both sides by 2 )
x = -
Substitute this value into (3) for corresponding value of y
y = 3 × - - 7 = - - = -
Solution is (- , - )
Answer:
From x = 0 to 3, f(x) = x^2.
From x = 3 to 6, f(x) = -x + 10
From x = 6 to 10, f(x) = x - 2
Step-by-step explanation:
The first part of the graph is a parabola that opens up with vertex at (0, 0). We check a few points, such as (0, 0), (1, 1), (2, 4), and (3, 9). The graph is f(x) = x^2.
The second part of a graph is a straight line with negative slope. The slope is -1. Prolong the line to the y-axis to get a y-intercept of 10. The equation is f(x) = -x + 10.
The third part of a graph is a straight line with positive slope. The slope is 1. Prolong the line to the y-axis to get a y-intercept of -2. The equation is f(x) = x - 2.
From x = 0 to 3, f(x) = x^2.
From x = 3 to 6, f(x) = -x + 10
From x = 6 to 10, f(x) = x - 2
Answer: =−nx+3n+x−5
Step-by-step explanation: