Answer:
Width of field = 50 yards
Length of Yards = 106 yards
Step-by-step explanation:
Let the width of field be x yards
given that "The length of a new rectangular playing field is 6 yards longer than double the width"
Length of Yards= 2*width of field + 6 = 2x+6 yards
perimeter of the rectangular playing field = 312 yards
We know that perimeter of rectangle is given by 2(length + width ).
Since field is rectangular then
2(length + width ) = 312
2(x+2x+6) = 312
=> 3x+6 = 312/2 = 156
=> 3x = 156 - 6 = 150
=> x = 150/3 = 50
Thus,
Width of field is x = 50 yards
Length of Yards= 2x+6 yards = 2*50+6 yards = 106 yards
General form of the line equation is: y= mx + c
where m is the slope and c is the constant
the slope here is given and equal to 3
so, m= 3
y= 3x +c
to get the constant c, substitute with the point in this equation
y= -2 & x = 1
-2 = 3*1 + c
c = -5
then the equation of the line is y = 3x -5
y = 3x -3 -2
y +2 = 3(x-1)
the answer is (B)
Answer:
12 + 10 + 15,62= 37,62
Step-by-step explanation:
According to the Pythagorean Theorem, you will have this:

* There was an error in the correct answer, so I corrected it, as you can see.
I am joyous to assist you anytime.
Answer:
<em>f(g(2))=7</em>
Step-by-step explanation:
<u>The Composite Function</u>
Given f(x) and g(x) as real functions, the composite function
is defined as:

It can be found by substituting g into f.
The given functions are:


It's required to find f( g( 2 ) )
Find g(2):

Operating:

g(2)=1
Now find f(1):


Thus:
f( g( 2 ) )=7