Answer: The answer is P'(7, 17.5) and Q'(7, 3.5).
Step-by-step explanation: Given that a line segment PQ is dilated with a scale factor of 3.5 where origin is the centre of dilation.
The end points of segment PQ are P(2, 5) and Q(2, 1).
Therefore, after dilation, the coordinates of the end points become
Thus, the coordinates of P' are (7, 17.5) and the co-ordinates of Q' are (7, 3.5).
Okay so first off the equation of a line is
Y=mx+b
m= the slope
b= the y intercept
The Y intercept of this line is 2 and the slope is 5/3! You know this is the slope because if you start at point a and go up 5 and to the right 3, you end up at point b.
The equation for this line would be y=5/3x+2
Answer:
y = -
x + 8
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 )
Rearrange 3x - y = 9 into this form by subtracting 3x from both sides
- y = - 3x + 9 ( divide all terms by - 1 )
y = 3x - 9 ← in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (6, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = -
x + 8 ← equation of perpendicular line
Answer:
2916 ft³
Step-by-step explanation:
•the diameter of the sphere is 18 ft , to find the radius(r) you have to divide it by 2 ,
•which gives 9ft .
•And they also told you to take the value of pie as 3.
•So, substitute the values into the formula given for V and you will have your answer.
Hope I was able to help:))