Answer:
A parallel y = 3x-1
B perpendicular y = -1/3x+9
Step-by-step explanation:
y = 3x-4 is written in slope intercept form (y=mx+b) so the slope is 3.
A. If the lines are parallel they have the same slope
m parallel is 3
Using point slope form
y-y1 = m(x-x1)
y-8 = 3(x-3)
Distribute
y-8 = 3x-9
Add 8 to each side
y-8+8 = 3x-9+8
y = 3x-1
This is slope intercept form
B If we want perpendicular lines, the slope is the negative reciprocal
m perpendicular is -(1/3) = -1/3
Using point slope form
y-y1 = m(x-x1)
y-8 = -1/3(x-3)
Distribute
y-8 = -1/3x+1
Add 8 to each side
y-8+8 = -1/3x+1+8
y = -1/3x+9
This is slope intercept form
Answer:
1. 63
2. 49°
3. 87°
4. 44°
Step-by-step explanation:
First, I worked out Angle 3 as this angle and 93° are on a straight line:
So I made an equation:
180 = 93 + Angle 3
180-93 = Angle 3
87 = Angle 3
Now we have enough information for Angle 4 as angles in a triangle add up to 180
87 + 49 + Angle 4 = 180
Angle 4 = 180 - 87 - 49
Angle 4 = 44
Using the rule of opposite angles:
I worked out that Angle 2 must be 49 as well.
This is now enough information to work out Angle 1 as angles in a triangle add up to 180
49 + 68 + Angle 1 = 180
Angle 1 = 180-49-68
Angle 1 = 63
Answer:
24 liters
Step-by-step explanation:
We know that j = 4d+4, d represents the number of days Wanda spent making jam, and j represents the amount of jam jarred.
Plug in <em>d</em>
j<em> </em><em>=</em><em> </em>4(5)+4
j = 20+4
j = 24
3* (1 3/4)
= 3* (7/4)
= 21/4
= 5.25
Hope this would help~
