20. parallel lines will have the same slope, but different y intercepts
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.
So y = 3x + 4 and y = 3x + 6 are parallel lines
21. perpendicular lines will have negative reciprocal slopes.
lets say u have a line..y = 2/3x + 4....the slope here is 2/3. To find the negative reciprocal, flip the slope and change the sign. So we have 2/3, flip the slope making it 3/2, change the sign making it -3/2. So ur perpendicular line will have a slope of -3/2.
so ur equations can be : y = 2/3x + 4 and y = -3/2x + 4
22. y = 2x + 5...slope here is 2. Parallel lines have the same slope.
y = mx + b
slope(m) = 2
(-3,1)...x = -3 and y = 1
sub and find b, the y int
1 = 2(-3) + b
1 = -6 + b
1 + 6 = b
7 = b
so this equation is : y = 2x + 7
23. 4x + 3y = (I cant see the last number..but we dont need it)
3y = -4x + ?
y = -4/3x + ?.....slope here is -4/3. A perpendicular line will have a negative reciprocal slope. So out perpendicular line will have a slope of 3/4.
y = mx + b
slope(m) = 3/4
(-8,-5)...x = -8 and y = -5
sub and find b, the y int
-5 = 3/4(-8) + b
-5 = - 6 + b
-5 + 6 = b
1 = b
so ur equation is : y = 3/4x + 1
Answer:
c. 25.12
this can just be estimated- 8 x pi- or, to make it easy just do 8 x 3= 24. that gets you in the ballpark, and the only answer close is C
Answer:
x=-20/9
Step-by-step explanation:
4(4x+1)=3x-4(6-x) +8
16x+4=3x-24+4x+8
16x-3x-4x=8-4-24
9x=-20
x=-20/9
The
probability that a student chosen at random from this school will be enrolled
in both a foreign language course and a psychology course can be solve by:
P = F
x Psy
Where
F is the fraction of foreign language
Psy
is fraction in psychology
P =
0.28 x 0.17
<span>P =
0.0476 is the probability </span>
