A representative from the zoo decided to interview teenagers at the horse show to determine the favorite type of animal among te
2 answers:
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Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.
To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.
, where, a, b and c represent base sides of prism and h represents height of the prism.
Upon substituting our given values in above formula we will get,
Therefore, lateral surface area of our given container is 270 square cm.
7)
Given the line
We know that the slope-intercept form of the line equation is
here
m is the slope and b is the intercept
Thus, the slope = -1
We know that the parallel lines have the same. Thus, the slope of the parallel line is: -1
Using point-slope of the line equation
substituting the values m = -1 and the point (4, 0)
Writing in the slope-intercept form
Thus, the slope-intercept form of the equation of the line equation parallel to y=-x+ 2 will be:
8)
<em>Note: </em><em>Your line is a little bit unclear. But, I am assuming the</em>
<em>ine is: </em>y = -x-1
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Given the assumed line
y = -x-1
We know that the slope-intercept form of the line equation is
here
m is the slope and b is the intercept
Thus, the slope = m = -1
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -1
perpendicular slope = – 1/m = -1/-1 = 1
Using point-slope of the line equation
substituting the values m = 1 and the point (4, 3)
Writing in the slope-intercept form
y-3 = x-4
y = x-4+3
y = x - 1
Thus, the slope-intercept form of the equation of the line equation perpendicular to y = -x-1 will be:
- y = x - 1
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Answer:
(a) f(x) = √x -2
Step-by-step explanation:
The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.