Answer:
y = 3/2x-3 vs. y = 2x-3
Step-by-step explanation:
2y=3x-6 ------ y = 3/2x-3
I think it may be 2 but I’m not too sure about it
Answer:
<h2>4</h2>
Step-by-step explanation:
The formula of a distance between two points:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We have the points (4, 5) and (4, 9). Substitute:
![d=\sqrt{(4-4)^2+(9-5)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%284-4%29%5E2%2B%289-5%29%5E2%7D%3D%5Csqrt%7B0%5E2%2B4%5E2%7D%3D%5Csqrt%7B4%5E2%7D%3D4)
Answer:
So length of top of table is 3x-7 inches.
Step-by-step explanation:
Here we are given that the top of the table has a width that is given by 2x inches.
The area of the top is given by:
![Area=6x^{2}-14x](https://tex.z-dn.net/?f=Area%3D6x%5E%7B2%7D-14x%20)
Now the top of the table is of the shape of rectangle and area of rectangle is given by:
![A=l*w](https://tex.z-dn.net/?f=A%3Dl%2Aw)
where l is length of the table and w is width of the table.
Plugging the values of A and w in the formula we have:
![6x^{2}-14x=l*2x](https://tex.z-dn.net/?f=6x%5E%7B2%7D-14x%3Dl%2A2x)
Dividing by 2x,
l=3x-7 inches
So length of top of table is 3x-7 inches.