Answer:
y = -2 when x = 0
Step-by-step explanation:
We are given points on the line such as ( 2, 2) and (6, 10) so we can find the equation of the line then find point (x=0, y=?).
General equation of the line is y = mx +b, where m is the slope and
b is y-intercept (where the line crosses the y-axis)
The slope m = (y2-y1)/ (x2-x1) = (10-2)/(6-2) = 8/4 = 2
Now the equation is y = 2x +b
To find b we substitute any of the points that are on the line, for example
(x=2, y=2) in the equation 2=2*2+b; 2-4 =b; -2 = b
The equation is y=2x -2
If x= 0 then y=2*0 -2; y = -2
Answer: The equation of the circle is

Step-by-step explanation: We are given to write the equation of the circle with radius √13 units and center at the point (-9.3, 4.1).
We know that
the standard equation of a circle with radius r units and center at the point (h, k) is given by

In the given circle,
radius, r = √13 units and center, (h, k) = (-9.3, 4.1).
Therefore, the equation of the circle will be

Thus, the equation of the circle is

Answer: written below
Step-by-step explanation:
1 hour time 40 miles/ hour =1*40=40miles
0.5 *70=0.5*70=35 miles
40+35=75 miles
60 minutes+30 minutes= 90 minutes or 1 1/2hours
Given:

To find:
The function
.
Solution:
we have,

Put g(x)=y.

Interchange x and y.

Isolate y.



Substitute
.



Therefore, the correct option is (3).
Answer:
B) 4
Step-by-step explanation:
(f-g)(x) = x² - 4x - 1
5² - 4(5) - 1 = 4