All of the side lenghts of the smaller triangles have been multiplied by 2 which guarantees side side side similarities. (basically similar angles shows congruence when their sides are proportional)
A right angle is a 90 degree angle, and a square by definition has 4 of them
Answer:
undefined
Step-by-step explanation:
To find the slope, we can use the slope formula
m = (y2-y1)/(x2-x1)
= (-9-7)/(5-5)
= (-16)/0
When we divide by zero, the slope is undefined
Answer:
16^2 - y^2
Step-by-step explanation:
First you need to distribute the (4x - y) to the other numbers. So we'll distribute it one by one, to make it easier. So taking the 4x from (4x - y), you need to distribute it to (4x + y). So 4x × 4x is 16^2. That's the first part, now we need to distribute the 4x to the positive y, which is 4xy. Now we work on the negative y from (4x - y). Distribute the -y to (4x + y). So -y × 4x = -4xy, and -y × y = -y^2. So now you should have the numbers, 16x^2 + 4xy - 4xy - y^2. The positive 4xy and negative 4xy cancel out so that would just be 0, so you can take that out. Now you should have 16^2 - y^2, and that's the simplified expression.
Answer
Option C is correct.
Explanation
We are told that the equation of a straight line is
y = 3x + 9
We are then told that if the 9 is replaced with a 3, what does this indicate?
When graphs are shifted upwards or downwards along the y-axis, the effect of this translation is shown in the new equation for the graph.
If a graph, y = f(x) is moved a units upwards on the y-axis, the new graph has an equation of y = f(x) + a
If a graph, y = f(x) is moved b units downwards on the y-axis, the new graph has an equation of y = f(x) - b
So, when a graph of y = 3x + 9 changes to y = 3x + 3, it indicates that 6 units have been subtracted from the original function; showing that the original function has been moved 6 units downwards.
Hope this Helps!!!
