Find the y-intercept of the function 3x + 4y = 12
2 answers:
Answer:
( 0 , 3 )
Step-by-step explanation:
1. Way one of solving this problem
This equation is in standard form, one must get it to slope-intercept form to find the answer. In other words, one must solve for "y"
3x + 4y = 12
Manipulate the literal equation with inverse operations;
3x + 4y = 12
4y = 12 - 3x
/4 /4
y = - x + 4
2. Way two of solving this equation
The y-intercept is when this line intercepts the y-axis, so "x" is zero. Substitute "0" in for "x", and solve to find the y-intercept
3x + 4y = 12
x = 0
3 (0) + 4y = 12
0 + 4y = 12
Inverse operations;
4y = 12
/4 /4
y = 3
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Answer and work down below
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.
It seems to be a good idea to start with the formula for the volume.
Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).
Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.
Evaluating it gives the volume in cubic units.
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<em>Additional comment</em>
If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).
However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.
