Find the slope intercept form -2/5y = -2
1 answer:
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See picture for solution to your problem.
Answer:
C. 510 cm^2
Step-by-step explanation:
Well to find TSA or Total Surface Area,
We need to find the area of al the triangles and rectangles.
Let's start with the 2 rectangles facing forwards.
They both have dimensions of 5*15 and 12*15,
75 + 180
= 255 cm ^2
Now let's do the back rectangle which has dimensions of 15 and 13.
15*13 = 195 cm^2
Now we can do the top and bottom triangles,
Since we don't have height we can use the following formula,
S is
S= 15
Now with s we can plug that in,
The a b and c are the sides of the triangle.
So let's solve,
15 - 5 = 10
15 - 13 = 2
15 - 12 = 3
10*2*3 = 60
60*15 = 900
= 30 cm^2
Since there is 2 triangles with the same dimensions their areas combined is 60 cm^2
60 + 255 + 195 = <u><em>510 cm^2</em></u>
<em>Thus,</em>
<em>the TSA of the right triangular prism is C. 510 cm^2.</em>
<em>Hope this helps :)</em>
Given:
The equation of a circle is
A tangent line l to the circle touches the circle at point P(1,3).
To find:
The equation of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is
We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
The slope of line l is and it passs through the point P(1,3). So, the equation of line l is
Adding 3 on both sides, we get
Therefore, the equation of line l is .