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
You might be interested in
Answer:
<h2>The right answer is 415.4 cubic feet.</h2>Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.
Recall that
There are three cases to consider:
(1) When
, we have 
and 
, so
(2) When
and 
, we get 
and , so
(3) When
, we have and 
, so
So
There are three cases to consider:
(1) When
(2) When
(3) When
So