Answer:
The correct answer is option C.
The mid point of the line segment.
Step-by-step explanation:
the perpendicular line segment construction twice using paper folding
we have to find the mid point of the given line segment.
We get the midpoint easily when fold the paper correctly
Therefore the correct answer is option C.
The mid point of the line segment.
Step-by-step explanation:
x/3+x/6=7/2
We simplify the equation to the form, which is simple to understand
x/3+x/6=7/2
Simplifying:
+ 0.333333333333x+x/6=7/2
Simplifying:
+ 0.333333333333x + 0.166666666667x=7/2
Simplifying:
+ 0.333333333333x + 0.166666666667x=+3.5
We move all terms containing x to the left and all other terms to the right.
+ 0.333333333333x + 0.166666666667x=+3.5
We simplify left and right side of the equation.
+ 0.5x=+3.5
We divide both sides of the equation by 0.5 to get x.
x=7
Solving #19
<u>Take y-values from the graph</u>
- a) (g·f)(-1) = g(f(-1)) = g(1) = 4
- b) (g·f)(6) = g(f(6)) = g(2) = 2
- c) (f·g)(6) = f(g(6)) = f(5) = 1
- d) (f·g)(4) = f(g(4)) = f(2) = -2
Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
I believe the answer would be: 4+y<15
