Answer:
y = x - 13
Step-by-step explanation:
The larger number is represented by x
The other umber is represented by y
y = x - 13
Answer:
2.2 seconds.
Step-by-step explanation:
We have been given that an astronaut on the moon drops a tool from the door of the landing ship. The quadratic function 
models the height of the tool, in meters, after x seconds.
To find the time, it will take for the tool to hit the surface of moon, we will set 
and solve for x as:
Divide both sides by negative 2:
Now, we will take square root of both sides:
Since time cannot be negative therefore, it will take 2.2 seconds for the tool to hit the surface of the moon.
Answer:
<u>k = 1.5</u>
Step-by-step explanation:
To find the value of k, at first we will find the point of intersection of the lines
y =2x –5 and y = –x+1
Solve the equations to together by equating the values of y
So, 2x - 5 = -x + 1
Solve for x
3x = 6 ⇒ x = 6/3 = 2
So, y = -x + 1 = -2 + 1 = -1
So, the point of intersection of the lines ⇒ (2,-1)
line y = kx –4 pass through the point of intersection of the lines
so, line y = kx –4 pass through the point (2,-1)
So, at x = 2 , y = -1
∴ -1 = 2k - 4
Solve for k
-1 + 4 = 2k
2k = 3
k = 3/2 = 1.5
<u>So, the value of k is 1.5</u>
Answer:
use geogebra app you can install it on your pc
Answer:
8t^3-36t^2+54t-27
Step-by-step explanation:
(2t-3)^3
(2t-3)(2t-3)(2t-3)
Multiply the first two terms
(4t^2 -6t -6t+9)(2t-3)
Combine like terms
( 4t^2 -12t +9) ( 2t-3)
Multiply
2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)
Distribute
8t^3 -24t^2 +18t-12t^2 +36t-27
Combine like terms
8t^3-36t^2+54t-27
