Answer:
<em>(7, 5.25)</em> lies on the graph.
Step-by-step explanation:
We are given the following values
x = 4, 6, 8, 12 and corresponding y values are:
y = 3, 4.5, 6, 9
Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.
Equation of a line passing through two points
and
is given as:

where m is the slope.
(x,y) are the coordinates from where the line passes.
c is the y intercept.
Here,

Formula for slope is:


Now, the equation of line becomes:

Putting the point (4,3) in the above equation to find <em>c</em>:

So, final equation of given function is:

OR

As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.
So correct answer is
.
What you're seeing here is 12 being multiplied by its reciprocal. 12 * 1/12 = 1. This is an example of a multiplicative inverse; a multiplicative inverse is when you multiply a number by its reciprocal (1 over the number).
The answer by the sequence:
Width of the garden = w
Length of the garden = 2w+3
Width of the entire plot = w + 0.5w = 1.5w
Length of the entire plot = (2w + 3) 0.5w = 2.5w + 3
Area of the garden = w (2w + 3)
Area of the entire plot = 1.5w (2.5w + 3)
Area of the garden = 2w² + 3w
Area of the entire plot = 3.75w² + 4.5w
Area of border = area of the entire plot - area of the garden
= 3.75w² + 4.5w - (2w² + 3w)
Area of the border = 3.75w² + 4.5w - 2w² - 3w
Area of the border = 1.75w² + 1.5w
Answer:
caca water
pee water
Step-by-step explanation:
Answer: The area of the enlargement is 315cm.
Step-by-step explanation:
If the picture has 35cm as the area and it has a length of 7cm then we can find the width by dividing the area by the length.
w= 35/7
w = 5
So in this care the width of the picture in 5cm.
Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply by 3.
In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.
w= 5*3 = 15
The width is 15cm and the length is 21cm so multiply them to find the area.
A = 15 * 21
A = 315cm