Answer: The line is AB and the plane is ABD, the first option is the correct one.
Step-by-step explanation:
Ok, first some definitions.
A line is any line that crosses two colinear points. Particularly, you can see in the graph that the line crosses through A and B, so the line is AB.
A plane needs 3 non-colinear points (if the points where colinear, then the points may define a line). Other definition of plane is "a line and a point that is not in the line"
So, if our line is AB, then the possible planes are:
ABC and ABD.
then the correct option is:
Line AB and plane ABD, so the correct option is the first one.
Answer:
slope = 1/4
Step-by-step explanation:
To find the slope, I chose two points where the line intersected the graph at an exact point.
Points:
(0, -8)
(4, -7)
Slope is the measure of rise over run, so starting at (0, -8) I went up one and to the right 4 times.
To put this as a fraction, we would have: 1/4
The numerator and denominator are positive because we went up and to the right.
Therefore, the slope is 1/4.
Answer:
6
Step-by-step explanation:
Slope intercept form is y=mx+b, with m being the slope and be being the y intercept, so when you look for what b is in the equation for y=-3x+6 then 6 is b.
Answer:
27
Step-by-step explanation:
The rule will be
Ni=(i-1)*5+2
- i=1 → N=(1–1)*5+2=0*5+2=0+2=2
- i=2 → N=(2–1)*5+2=1*5+2=5+2=7
- i=3 → N=(3–1)*5+2=2*5+2=10+2=12
- i=4 → N=(4–1)*5+2=3*5+2=15+2=17
- i=5 → N=(5–1)*5+2=4*5+2=20+2=22
- i=6 → N=(6–1)*5+2=5*5+2=25+2=27
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Learn more about arithmetic sequences:
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One way to understand division is to look at it as repeated
subtraction. When you "divide by" a divisor number, you're
asking "how many times can I subtract this divisor from the
dividend, before the dividend is all used up ?".
Well, if the divisor is ' 1 ', then you're taking ' 1 ' away from the
dividend each time, and the number of times will be exactly
the same as the dividend.
If the divisor is more than ' 1 ', then you subtract more than ' 1 '
from the dividend each time, and the number of times you can
do that is less than the dividend itself.
If the divisor is less than ' 1 ', then you only take away a piece of
' 1 ' each time. You can do that more times than the number in
the dividend, because you only take away a piece each time.