Answer:
(1, 2 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (1, 2 ) ← solution
Lines that are perpendicular to another line has an opposite reciprocal slope. (opposite meaning to negate the number).
Lines that are parallel have the same slope.
But the line you provided is a vertical line, and vertical lines are undefined. There is no possible perpendicular or parallel line. Maybe you gave the wrong equation and didn't put it in <em>y=mx+b</em> form. If so, you can correct it in the comments, and if not, that's you answer!
:)
Answer:
7 8/21, 7.6, 7 2/3, 7.71, 7 4/5
Step-by-step explanation:
none
Answer:
The height of water in the second tank is 2ft
Step-by-step explanation:
In this question, we are asked to calculate the height of water in a second tank if the content of a first tank is poured into the second tank.
The plot twist to answering this question is that we need to note the volume of water in the first tank. Although the first tank has dimensions of 2ft by 3ft by 2ft height, the water in the tank only rose to a height of 1 feet.
Hence, to calculate the volume of the water in the first tank, the width and the length of the tank still remain the same, the only difference here is that we work with a height of 1 feet since the Water is not full.
Mathematically, the volume of water present in the tank will be;
V = l * b * h
V = 4 * 3 * 1 = 12 cubic feet
Now, this content is emptied into a second tank. Since the volume of water here is the same; this means;
12 cubic feet = 3 * 2 * h
We ignore the 4ft height as it is just the height of the tank and not the height of the water in the tank
6h = 12 cubic feet
h = 12/6 = 2 ft
<h3>Answer: Check out the screenshots below.</h3>
=========================================
Explanations:
Part 1
For the first box, we use the log rule that log(A)+log(B) = log(A*B)
Then in the second box, we'll convert to exponential form. The logs are assumed to be base 10.
The third box then factors and uses the zero product property.
----------------------------
Part 2
We check each solution generated in part 1.
Plugging x = 5/3 will lead to the same number on each side. Therefore, x = 5/3 is a true solution.
In contrast, plugging x = -2 leads to a false equation. Recall that the domain of y = log(x) is x > 0. This means we cannot replace x with negative numbers. The value x = -2 is extraneous.
----------------------------
Part 3
There's not much to explain here that isn't already done so on the screenshot below.
