what is the x-intercept of the line with the equation 4x 2y = 12? a. (0, 6) b. (0, 3) c. (6, 0) d. (3, 0)
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ANSWER:
m = -3/4
b = -3
STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:
We calculate the slope as follows:
To calculate the slope we use the intercepts that are (-4, 0) and (0, -3), we replace:
Now, the value of b would be -3, since the y-intercept is (0,-3), therefore, the equation would be:
The distance from the center to where the foci are located exists 8 units.
<h3>How to determine the distance from the center?</h3>The formula associated with the focus of an ellipse exists given as;
c² = a² − b²
Where c exists the distance from the focus to the center.
a exists the distance from the center to a vertex,
the major axis exists 10 units.
b exists the distance from the center to a co-vertex, the minor axis exists 6 units
c² = a² − b²
c² = 10² - 6²
c² = 100 - 36
c² = 64
c = 8
Therefore, the distance from the center to where the foci are located exists 8 units.
To learn more about the Pythagorean theorem here:
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Rationalize the numerator:
where the factors in the numerator and denominator cancel. Then the limit is