The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions.
1 answer:
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Answer:
The center is (-3,2) and the radius is r=2
Step-by-step explanation:
The general equation of the given circle is
Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;
The quadratic trinomials in x and y on the left side of the equations are perfect squares.
We factor to obtain;
Comparing to:
The center is (-3,2) and the radius is r=2
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.
And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
By substitution:
Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:
Zero Product Property:
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.
Hence, our answer is A.
Answer:
The area of the shape (trapezoid) is 55 square feet.
Step-by-step explanation:
The formula to get the area of a trapezoid is . b1 is one of the bases, b2 is the other and h is the height.
First, you need to find the average of the bases:
(15+7=22)/2=11
Then, you multiply that by the height.
11*5=55
Lastly, you add the units.
55 square feet is the answer