Answer:
The new points to the triangle will be:

Step-by-step explanation:
Because the reflection point is at
, all x values will subtract their distances from
to get their new values. The y values remain the same.
The starting values are:

Point
is 5 units away from
, so we'll subtract 5 from -1 to get the new x value:
, so
.
Point
is also 5 unit away from
, so we'll subtract 5 from -1 to get the new x value:
, so
.
Point
is 7 units away from
, so we'll subtract 7 from -1 to get the new x value:
, so
.
Answer:
1. 50 is 20% of 250
Step-by-step explanation:
In order to find any of these, use the equation.
Number/Out of = %
Then plug in the values
50/x = .20
Then solve by cross multiplying
50 = .20x
250 = x
Answer:
length = 200 m
width = 400 m
Step-by-step explanation:
Let the length of the plaing area is L and the width of the playing area is W.
Length of fencing around three sides = 2 L + W = 800
W = 800 - 2L ..... (1)
Let A is the area of playing area
A = L x W
A = L (800 - 2L)
A = 800 L - 2L²
Differentiate with respect to L.
dA/dL = 800 - 4 L
It is equal to zero for maxima and minima
800 - 4 L = 0
L = 200 m
W = 800 - 2 x 200 = 400 m
So, the area is maximum if the length is 200 m and the width is 400 m.
Answer:
y = x^(sin(x))
y = e^(SIN(x)*LN(x))
y' = (COS(x)·LN(x) + SIN(x)/x)*e^(SIN(x)*LN(x))
y' = (COS(x)·LN(x) + SIN(x)/x)*x^(SIN(x))