If you are finding the y-intercept of the values, it would be D no solution because the slopes are the same. Since the lines are parallel, there would not be a solution.
Step-by-step explanation:
we find the average height of each height first,
t¹= (120+124)/2
=244/2
=122
t²= (124+128)/2
t²= 252/2
t²= 126
t³= (128+132)/2
t³= 260/2
t³= 130
t⁴= (132+136)/2
t⁴= 268/2
t⁴ =134
t⁵= (136+140)/2
t⁵= 276/2
t⁵= 138
so multiplying each height by its frequency we can find the total height, so we have..
total height= (122*7)+(126*8)+(130*13)+(134*9)+(138*3)
= 854+1008+1690+1206+414
= 5172
mean height = total height/total frequency
= 5172/40
=129.3
Answer:
4 visits.
Step-by-step explanation:
First make an equation to represent the cost of the museum stuff using the formula y=mx+b
y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)
Now we need to figure out how many visits a bill of $31 would represent.
We plug in 31 for y because y represents the total cost.
31=5x+11
Now solve for x.
Subtract 11 from both sides: 20=5x
Divide each side by 5: 4=x
Since x=4, it means that a bill of $31 would represent four visits.
The 6 angles with vertex P are:
- Angle APB
- Angle APC
- Angle APD
- Angle BPC
- Angle BPD
- Angle CPD
The letter P must be in the middle since this location is the vertex. Something like angle BPA is the same as angle APB. We can swap the order of the outer letters without any change to the angle itself. Effectively, this means each angle has two possible names.
Answer:
B. reflection over the y-axis and translation 2 units down
Step-by-step explanation:
