Answer:
Step-by-step explanation:
yes....the pair of linear equations has unique solution.....
2x + 3y - 7 = 0 ...... (i)
3x + 2y + 10 = 0 ....... (ii)
on comparing the equation i nd ii with a1x + b1y + c1 = 0
nd a2x + b2y + c2 = 0 reslectively......
a1 = 2 ; b1 = 3 ; c1 = -7
a2 = 3 ; b2 = 2 ; c2 = 10
here....its clear that......
a1 / a2 is not equal to b1 / b2
Therefore the given pair of linear equation have a unique solution........
Explanation
A = C (1 + I)**t
A = 1900( 1+0.045)**7
A= 2585.64£
Answer
2585.64£
Answer:
line L is not parallel to AB
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 4 - 2x ( divide terms by 3 )
y =
-
x ← in slope- intercept form
with slope m = - ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Calculate slope of AB using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = A(1, 3) and (x₂, y₂ ) = B(- 2, - 1)
=
=
= ![\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D)
Parallel lines have equal slopes
Since the slopes are not equal then the lines are not parallel
If I have eight numbers and i am tasked to decide which of the set of given numbers is the smallest comparing 2 numbers at a time, I will have 28 comparisons in all. Trying all combinations for the first number, you have 7. Trying all combinations for the second number nit including its comparison to the first number (because it will be redundant), you will have 6 comparisons an so on. Adding it all up, you have 7+6+5+4+3+2+1=28.
Answer:
![y = 2x - 1](https://tex.z-dn.net/?f=y%20%3D%202x%20-%201)
Step-by-step explanation:
The line shown is a straight line its equation is of the form.
![y = mx + c](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c)
Where m is the slope and c is the y-intercept.
From the graph, the slope is
![m = \frac{rise}{run}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7Brise%7D%7Brun%7D%20)
![m = \frac{2}{1} = 2](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B2%7D%7B1%7D%20%20%3D%202)
The y-intercept from the graph is where the line intersects the y-axis, so c=-1
We substitute the values to get:
![y = 2x - 1](https://tex.z-dn.net/?f=y%20%3D%202x%20-%201)