Answer:
Step-by-step explanation:
Graph a triangle (ABC) and reflect it over the x-axis to create triangle A'B'C. Describe the transformation using words. Make su
1 answer:
Following the image of the reflection and the lines drawn, it is clear that the two lines are parallels but NOT equal in length.
<h3>Is it possible to see the same characteristic if one drew the line segment connecting B with the reflecting line and then B' with the reflecting line?</h3>After drawing the reflecting line, it so happens that in this case the reflecting line fall exactly on the x-axis hence, it does not share the same characteristics.
It is key to recall that a flip is a term used in geometry to describe a reflection. A mirror image of a shape is called a reflection. The line of reflection is a line along which an image reflects.
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I have 2 answers in mind
Answer #1:
Step-by-step explanation:
quotient means the answer to 2 things being divided so the quotient of y and z would be because there is no numerical value.
Answer #2:
1
Step-by-step explanation:
Usually, when a letter is left by itself in an equation it usually has an invisible one in front of it. so when dividing y by z it would equal 1/1 which is equal to one.
Hope this helps :)
Answer: The length is 13cm and the width is 7cm
Step-by-step explanation:
For a rectangle of length L and width W, the area is:
A = W*L
In this case we have:
L = (2*x + 9) cm
W=(3*x + 1) cm
Then the area of the rectangle is:
A = (2*x + 9)*(3*x + 1) cm^2
A = (6*x^2 + 2*x + 27*x + 9) cm^2
A = (6*x^2 + 29*x + 9) cm^2
now we remove two squares with sides of x cm
The area of each one of these squares is (x cm)*(x cm) = x^2 cm^2
Then the area of the figure will be:
area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2
area = (4*x^2 + 29*x + 9) cm^2
Now we know that the area of this shape is 83 cm^2, then we need to solve:
83 cm^2 = (4*x^2 + 29*x + 9) cm^2
0 = (4*x^2 + 29*x + 9) cm^2 - 83 cm^2
0 = (4*x^2 + 29*x - 74) cm^2
Then we need to solve:
0 = 4*x^2 + 29*x - 74
Here we can use Bhaskara's equation, the solutions of this equation are given by:
Then the two solutions are:
x = (-29 - 45)/8 = -9.25 (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).
The other solution is:
x = (-29 + 45)/8 = 2
x = 2
Then the length and width of the rectangle are:
Length = (2*2 + 9)cm = 13 cm
Width = (3*2 + 1)cm = 7cm