This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
1/2 + 3/4 =
1/2 = 2/4
2/4 + 3/4 = 5/4 = 1 1/4
Answer = 1 1/4
Hope this helped☺☺
Answer:
Step-by-step explanation:
The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.
<h3>What is function?</h3>
A expressions defining a connection between the independent variable and dependent variable is known as the functions.
A feature that:
The domain is defined as the set of all real numbers.
a single x-intercept
The amplitude is four.
The y-intercept is defined as (0,0)
Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:
Hence y = -4sin (x) and y = 4sin (x) has the given properties.
To learn more about the function refer to the link;
brainly.com/question/5245372
Option A is correct. The range of the function 
given above expressed as an interval notation is (–∞, ∞)
Given the function
- We are to find the range of the function.
- First, we can see that the value of x² inside the square root will always be a positive value no matter the domain values of x.
- Since the input value exists on all real numbers, hence<em> the output values will also exist on all real numbers since the </em><em>range</em><em> is dependent on the values of the </em><em>domain.</em>
Hence the range of the function given above expressed as an interval notation is (–∞, ∞)
Learn more here: brainly.com/question/16724504
