Step-by-step explanation:
Hey there!
The points of line AB are; (-1,-4) and (2,11).
Note:
- Use double point formula and simplify it to get two eqaution.
- Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.
~ Use double point formula.
~ Keep all values.
~ Simplify it.
Therefore this is the equation of line AB.
Now, Finding the equation of line CD.
Given;
The points of line CD are; (1,1) and (4,10).
~ Using formula.
~ Keep all values.
~ Simplify it.
Therefore, 3x - y- 2 = 0 is the eqaution of line CD.
Use condition of parallel lines.
m1= m2
Slope of equation (i)
Therefore, m1 = 5
Slope of second equation.
Therefore, m2 = 3.
Now, m1≠m2.
So, the lies are not parallel.
Check for perpendicular.
m1*m2= -1
3*5≠-1.
Therefore, they aren't perpendicular too.
So, they are neither.
<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Hi there!
Use slope formula to solve for the slope of the line:
Plug in points into the equation. We can use the points (0, -10) and (25, -5):
No solutions- equations never intersect (parallel lines)
Explanation:
First, let's convert our second equation into slope-intercept form
y
=
m
x
+
b
Let's subtract
2
x
from both sides to get
−
y
=
−
2
x
+
2
Next, divide all terms by
−
1
to get
y
=
2
x
−
2
We see that our slope, the coefficient on the
x
term, is
2
. This equation has the same slope as the first.
It is important to realize that when two lines have the same slope, it means they are parallel. This means they never intersect.
Since they never intersect, it means this system has no solution.
Hope this helps!
Answer:
a. Strawberry > Rasberry
6.18 > 6.1
b. required more in strawberry
Step-by-step explanation:
Given that
Strawberry = 6.18 pound
Raspberry = 6.1 pound
Based on the above information
As we can see that the number of pounds in strawberry is more than the number of pounds in Rasberry
So, it would be
a. Strawberry > Rasberry
6.18 > 6.1
b. Here the inequality means that the number of pounds is required more in Strawberry as compared to the Rasberry so that the jam could be made
Answer:
Step-by-step explanation:
1) commutative
2) distributive
3) associative
4) inverse property
5)
6) identity property
7) identity property
8) multiplicative inverse
9) distributive
10)
11) x+n
12) 10(x+1)
13) (9p)m
14) 1/3(1+1/3)
(1/3).(1) +(1/3).(1/3)
15) (x+2)+7
16) 1/4
17) 1
18) -9
19) 0
20) -0.12
