Answer:
104 units
Step-by-step explanation:
Given
Shape: Rhombus
Required
Determine the perimeter
The given parameter are the diagonals of the rhombus.
The perimeter (from diagonals) is calculated as thus:
Substitute values for JL and KM
<em>Hence, the perimeter is 104 units</em>
Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is
The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):
That's standard form; let's plug in the numbers:
Given:
Consider the given expression is:
To find:
The simplified form of the given expression.
Solution:
We have,
Using distributive property, it can be written as:
Therefore, the correct option is A.
Answer:
volume:
given:
<u>cylinder volume</u>:
After the dilation around the center of dilation (2, -2), our triangle will have coordinates:
First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:
→
Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor . Therefore our second partial rule will be:
→
→
Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)
→
→
Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:
Now we can finally draw our triangle:
