1.
Perpendicular. y=3x+4
Parallel. y=-1/3 x-8/3
2.
Perpendicular. y=-x-1
Parallel. y=x+11
3.
Perpendicular. y=7/4 x+8
Parallel. y=-7/4 x-9/7
4.
Perpendicular. y=4/5 x-3
Parallel. y=-5/4 x+35/2
yeesh, that took a while :) hope I helped!
Answer:
On the y axis
Step-by-step explanation:
If x is zero, it automatically has to be on the y axis because x=0 is where the x and y axis intersect.
5 1/2 + p = 6
subtract 5 /12 from each side
5 1/2 - 5 1/2+ p = 6 - 5 1/2
p = 6 - 5 1/2
borrow from the 6
p = 5 2/2 - 5 1/2
p = 1/2
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
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<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Ok, so remember
the legnth of the longest side must be LESS THAN the sum of the measures of the other 2 sides
if no longest side (becasue it has 2 longest sides or 3 equal sides), then it can form a triangle
so the longest side is 36
36 must be less than the sum of 15 and 20
36<15+20
36<35
false
therfor it cannot form a triangle
try it yourself, you cannot connect them that way
