Write in standard form the equation of a line with a slope of -3/5 and a y intercept of -3
1 answer:
Answer:
5y+3x=-9
Step-by-step explanation:
Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the <u>slope-intercept form</u> of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.
From this problem, we are given both the slope and the y intercept. We know have the equation:
Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.
This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.
<em>I hope this helps! Please let me know if you have any questions :)</em>
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Answer:
Step-by-step explanation:
For the surface area we need to add up all the areas in the pyramid:
- area of the base
- area of the triangle sides (there are 4 triangles)
Area of the base:
the base is a square, and the area of a square is given by:
where is the length of the side:
, thus:
Area of the triangles:
one triangle has the area given by the formula:
where is the base of the triangle:
and is the height of the triangle:
, thus we have the following:
the expression that represents the surface area of the pyramid is:
substituting our values:
which is option B