Answer:
d. 15
Step-by-step explanation:
List the exponents of each of the prime factors. Here, they are 3, 1, 1.
Add 1 to each of these values and form the product of these sums:
(4)(2)(2) = 16
This is the number of divisors of the number. Since 1 is included in this count, 15 of the divisors are greater than 1.
A reflection over the line y=x implies exchanging the x and y coordinates of a point. For example if you take a generic point (a,b) then its reflection over y=x is (b,a). Our point is (-1,3) so its reflection over y=x is the point (3,-1).
Then we have to translate it two units left. Translating a point left means that we are moving towards negative x values so we need to substract 2 from the x coordinate:
Finally we have to translate it 1 unit up towards positive y values so we have to add 1 to its y coordinate:
And these are the final coordinates. In the following picture you have the points you get after each step (from A to D) with the y=x line in blue:
two points are (0,0) and (100, -800)
m = (y2-y1)/(x2-x1) = (-800-0)/(100-0) = -8
point slope form of the line is
y-y1 = m(x-x1)
y-0 = -8 (x-0)
y=-8x
this is in slope intercept form now
y=-8x
the answer to your question is B.) 12x
Answer:
1.) The point (24,30) would not be on the line
2.) The point (12,13) would not be on the line either
4.) The slope is a fraction of 2/1
Bonus: y = (2/1)x - 2
Step-by-step explanation:
For question three, I looked at the (6,10) point on the graph and compared it with the (a,8) point. That showed me that the y coordinate always moves by 2. Then I looked at the (6,10) coordinate and the (a,8) coordinate and the (4,b) coordinate and saw that there was one x coordinate between 6 and 4 so it must be five. That means the x coordinate moves by 1.
Let me know if you need more help!
:)
