Answer:
The area of parallelogram ABCD is
Explanation:
Given:
AD = 12 in
To Find:
The area of parallelogram ABCD=?
Solution:
When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.
The area of the parallelogram can be calculated by 
Substituting the value of a=12 we have
<u>To find the value of b,
</u>
We know that area of a triangle can be expressed as,
So,
Cancelling BD and 2 on both sides we get,
Therefore,
Substituting the value of b,
=78.42
So the area of the parallelogram is
Answer:
x = 3
Step-by-step explanation:
It should NOT be "fight of the origin", rather "right of the origin".
Now let's move on to solve the question...
The x-intercept is found by setting the function equal to 0. Thus:
0 = x^3 - 9x
<em>Let's solve this using algebra:</em>
<em>
</em>
<em />
<em>Hence, x = -3 and x = 3</em>
<em />
The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.
Answer:
3:1
Step-by-step explanation:
If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.
Answer:
The domain is all real numbers. The range is {y|y ≤ 16}
Step-by-step explanation:
we have
This is a the equation of a vertical parabola open downward
The vertex is a maximum
The vertex is the point (-1,16)
see the attached figure
therefore
The domain of the function is all real numbers ----> interval (-∞,∞)
Te range of the function is
All real numbers less than or equal to 16 ----> interval (-∞,16]
The LCM is: <span>2,7,7,2,0.</span>
