A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form? A) 2x + y = 7 B) y = -2x + 7 C) y - 3 = -2(x - 2) Eliminate D) y = - 1 2 x + 5
Answers
In point slope form, y - y1 = m(x - x1)
i.e. y - 3 = -2(x - 2)
What is the approximate volume of a cylinder with a diameter of 10 meters and a height of 5 meters
What is the solution set of {x | x < -3} ∪ {x | x > 5}
Answers
The union of two sets is defined as all elements that are members of both sets.
The first set evaluuates to (...,...,...-7,-6,-5,-4) and the second eveluates to (6,7,8,9,...,...).
There are no elements that belong to both sets so the solution is the empty set. {∅}
Another way is to think about it in words: "What number(s) are less than -3 and also greater than 5?" There are no numbers that fit both of these.
Explain how can you use base ten blocks to find 2.16 divided by 3
Answers
For this question, let's move the decimal number 2 spaces to the right. 2.16-->216 You need 21 ten rods and 6 cubes. Why: I wouldn't do 2 hundred flats because 2 isn't divisible by 3. Put the ten rods into 3 equal group, then do the same with the cubes. You should end up with 7 in each group since 21 divided by 3 is 7. You should also end up with 2 cubes in each group. So in one group you have 72. Now move the decimal back to where it came from, 2 spaces to the left. Now you have 0.72.
The answer is 0.72 because you divide 2.18 by 3 OR You can set the amount of blocks (2.16) out 3 times and count all of them up and that's your answer