The function of the trapezoid area is:
A(x)=(B+b)*h/2
Where B and b are the bases and h is the height.
With the given data: h=10 B and b =7 and x (it may vary which one is bigger)
-----------
So that function becomes:
A(x)=(7+x)*10/2
A(x)=(7+x)*5
----------
So if you want the inverse function, you have to operate to find x:
A(x)/5=7+x
A(x)/5-7=x
----------
So the new function is:
x(A)=A/5-7
Answer:
A.The scale factor is 0.25 ⇒ <u>True</u>
B.The scale factor is 4 ⇒ <u>False</u>
Step-by-step explanation:
<u>See the attached figure.</u>
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
A dilation that creates a smaller image is called a reduction.
As Shown, two right triangles, The first triangle is dilated to form the second triangle.
We can deduce that the second image is a smaller than the first triangle.
The hypotenuse of the first triangle = 4.4
The hypotenuse of the second triangle = 1.1
So, the scale factor = 1.1/4.4 = 11/44 = 1/4 = 0.25
<u>We will check the options:</u>
A.The scale factor is 0.25 ⇒ True
B.The scale factor is 4 ⇒ False
It should be n+4=3n. Hope this helps
Answers:
So the solution is (x,y) = (4, -1)
=============================================================
Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
------------------------
To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Answer:
2.56 repeating
Step-by-step explanation:
