Answer:
The equation of the line we want to write is 4y = -x + 22
Step-by-step explanation:
Here, we want to write the equation of a line
.
The standard equation of a straight line is given as:
y = mx + c
where m is the slope and c represents the y-intercept
Now, let’s look at the line y = 4x + 16
The slope of this line is 4
Now, the equation of the line we want to write is perpendicular to this line
When two lines are perpendicular, the product of their slopes = -1
Hence;
m * 4 = -1
m = -1/4
So the slope of the line we want to write is -1/4
Now, using the point-slope form for the new equation;
y-y1/x-x1 = m
From the point given (x1,y1) = (10,3)
Thus;
y-3/x-10 = -1/4
4(y-3) = -1(x - 10)
4y - 12 = -x + 10
4y = - x + 10 + 12
4y = -x + 22
The LCD of 24 and 23 is 552, so 276/552 - 240/552 = 36. After simplifying 36/552, you get 3/46 and that is your answer.
The same way you divide normal numbers, 0.5/0.5 = 1
What's the problem?
I don't see it
The volume of water that the rectangular prism will hold when it is full is: 874.35 ft³.
<h3>What is the Volume of Rectangular Prism?</h3>
Volume = length × width × height
Given:
- Length = 13.4 ft
- Width = 8.7 ft
- Height = 7.5 ft
Thus:
Volume of water = 13.4 × 8.7 × 7.5
Volume of water = 874.35 ft³
Thus, the volume of water that the rectangular prism will hold when it is full is: 874.35 ft³.
Learn more about volume of rectangular prism on:
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