Consider this option:
1. rule: Circle is the locus of the points which are on the same distance from the given point. Common view of the equation is: (x-a)²+(y-b)²=r², where r - the distance from the given point to the described locus, a&b - coordinates of the given point.
2. using item 1:
(x+2)²+(y-1)²=3² or (x+2)²+(y-1)²=9.
Answer: f(x)= 2x -3
Step-by-step explanation:
Using the given information we can come up with two points that will be use to find the slope and y-intercept.
If you input 0 you get -3 so the point will be (0,-3)
If you input 7 you get 11 so the point will be (7,11)
Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.
y coordinates: -3 - 11 = -14
x coordinates: 0 - 7 = -7
-14/-7 = 2
Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.
Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.
-3= 2(0) +b
-3 = 0 + b
b = -3
f(x) is the same as y in the formula, meaning that the equation will be
f(x) = 2x -3
Answer:
90 mallards
Step-by-step explanation:
No. of ducks = 200
Mallards = 45%
45% of 200 = 45/100 × 200
=90
Answer:
A
Step-by-step explanation:
Substitute the given values into the expression
2a² + cb
= 2(5)² + 3(11)
= 2(25) + 33
= 50 + 33
= 83 → A
(x,y)
sub given points and see if true
A, (0,-13)
x=0
y=-13
3(-13)=5(0)-13
-39=0-13
-39=-13
false (other user was just guessing)
B. (3,1)
x=3,
y=1
3(1)=5(3)-13
3=15-13
3=2
false
C. (7,7)
x=7
y=7
3(7)=5(7)-13
21=35-13
21=22
false
D. (-6,-1)
3(-1)=5(-6)-13
-3=-30-13
-3=-43
false
answer is none of them
