Answer:
6
Step-by-step explanation:
5% of 120 were late
= × 120
= 0.05 × 120
= 6
roberts mom gave him $9 to buy groceries. she told him to buy a loaf of bread and as many quarts of milk as he could with the mo
1 answer:
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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 .
Answer:
Which expression is equal to ?
The correct answer is B.
Step-by-step explanation:
Inside of the radical you have . If you find the cube root of that, you get 4a^2. Go ahead and write that outside of the parenthesis:
If you re-write what is inside of the radical, you get:
Basically I expanded what was inside of the radical so I could find the cube roots of b^7 and c^9.
Now, take the cube root of b^7:
Notice how I could only factor out the two "b^3" that were inside the radical symbol, and how I left the b^1 inside the radical symbol because I couldn't factor it out.
Let's now get the cube root of c^9. Since it's a perfect cube, there won't be any "c"s left inside of the radical symbol: