Answer:
-3/2
(2x-14)/3
(-2,-6)
Step-by-step explanation:
I solved the first one for you already ( -3/2)
To make a line perpindicular to another line they need to intersect at a 90 degree angle. To do this the slope of the lines have to be the negative reciprical (take the fraction, flip it, and apply a negative sign to it)
If you do this to -3/2 you get 2/3
If we follow our y=mx+b equation from before we (so far) have
2/3x+b=y
which means that we just need to solve for b
We also know that it crosses the point (7,0) which means that if we plug in 7 for x and 0 for y we can solve for b
we have
(2/3)*7+b=0
Solve for B
14/3+b=0
b= -14/3
Which means our equation looks like this
(2x-14)/3
our two equations look like this
(-3/2)x-9
(2x-14)/3
We need to find where their coordinates are the same (where they intersect)
We can do this by setting them equal to each other and then solving for x
we have
(-3/2)x-9=(2x-14)/3
solve for x
-4.5x-27=2x-14
-13= 6.5x
x= -2
Now that we know what x equals we can plug this into any of our two beginning equations
(-3/2)*-2-9=y
3-9=y
-6=y
Which means our coordinates are (-2,-6)
if you have any questions let me know
Answer:
No
Step-by-step explanation:
The total number of trains is 287 + 54 + 17 + 5 = 363.
Of these, the number of trains that arrived no more than 10 minutes late is 287 + 54 = 341.
The proportion is p = 341/363 = 0.94.
94% of the trains arrived no more than 10 minutes late, so the company did not meet its target.
Answer:
It's D... Isosceles and right
Step-by-step explanation:
got it right on the quiz.
We let k be the proportionality constant for the relationship between number of hours, h and speed of the walker, s.
h = k/s
Substituting the known values,
12 = k/5
k = 60
For the second scenario,
h = k/s
Substituting the calculated value for k and the given value for speed,
h = (60)(3 miles/hour)
h = 20 hours
h = 20 hours
Therefore, it will take 20 hours to walk with a speed of 3 miles per hour.
Answer:
A
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
- 12 ÷ - 3 = - 48 ÷ - 12 = - 192 ÷ - 48 = 4
this indicates the sequence is geometric with nth term
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = - 3 and r = 4 , then
a₈ = - 3 × 
= - 3 × 16,384 = - 49,152
