Answer:
x =
y = -11
Explanation:
Given that a line segment BY. O is the point lies between B & Y.
Ratio is BO:OY = 5:8
Coordinate of point B = (4,2)
Coordinate of point O = (7,-3)
We will find the coordinate of Y (x,y)
Here we use the section formula.
Internal section formula is :
(7,-3) =
(7,-3) =
Now
7 =
5x+32 = 91
x =
and
5y + 16 = -39
y = -11
That's the final answer.
Answer:
She should make a rectangle with dimensions 14.4 cm by 4.2 cm.
Step-by-step explanation:
Assume x be the width of the rectangle.
The length of the rectangle is to be 6 cm more than twice the width.
The length of the rectangle is= (2x+6) cm
Then the diagonal of the rectangle is
cm
According to the problem,
Squaring both sides
⇒5x²+45x-21x-189=0
⇒5x(x+9)-21(x+9)=0
⇒(x+9)(5x-21)=0
⇒x+9=0 or, 5x-21=0
⇒x= -9, 4.2
Since the width of a rectangle can not negative.
So, x=4.2 cm
The width of rectangle is = 4.2 cm
The length of the rectangle is =(2×4.2+6)
=14.4 cm
She should make a rectangle with dimensions 14.4 cm by 4.2 cm.
Answer:
The relation represents a growth when b>1 and a decay when 0<b<1
Step-by-step explanation:
Any function in the form , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b. If 0 < b < 1. It is an example of an exponential decay. The general shape of an exponential with b > 1 is an example of exponential growth. An exponential function is expressed in the form
The relation represents a growth when b >1 and a decay when 0<b<1.