Answer:
slope = -3; y-intercept = 1/2
Step-by-step explanation:
A way to solve this problem would be to write equations based off of the answer choices on the right, plug the x and y values from the chart into those equations, and see if they are true.
Let's look at the third option choice. Given that the slope = -3 and the y-intercept is 1/2, we can write an equation using the slope-intercept format, y= mx + b, where m is the slope and b is the y-intercept. So, the equation for that would be y= -3x + 1/2.
Let's try plugging in some x and y values and testing if they are true. Let's take the point
from the chart for example:

So, since
does equal to
, it is true, making that the correct answer. You could plug in any other point from the chart to check, too - it's good to check multiple, but for the sake of brevity, I just put that as one example.
You could say angle 4 is congruent to angle 1 reason: alternate angles
(2.3*10^-3) / (4.6*10^-7)
(2.3*0.001) / (4.6*0.0000001) *10^-3=0.001 & 10^-7=0.0000001*
(0.0023) / (0.00000046) *2.3*0.001=0.0023 & 4.6*0.0000001=0.00000046*
5000 *0.0023/0.00000046*
So the answer is 5000
100 pages a hour
This is a fraction equal to
300 Pages ÷ 3 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3
300 Pages ÷ 3
3 hours ÷ 3
=
100 Pages
1 hour
=
100 Pages
hour
= 100 Pages per hour
Answer:
Option d
Step-by-step explanation:
⁴√(9x⁴)•⁴√(16x⁴)
= x√3•2x
= 2√3x² ≠ 12x⁴