Answer: −1−3k
Step-by-step explanation:
Distribute:
(−3+4k)−1(−2+7k)
(-3+4k)+{2-7k}
Eliminate redundant parentheses:
(−3+4k)+2−7k
-3+4k+2-7k
Add the numbers:
−3+4k+2−7k
−1+4k−7k
Add the same term to both sides of the equation:
−1+4k−7k
−1−3k
Answer:
Multiply the whole numbers by their denominators and then add the product to their numerators. You will notice that they equal the same improper fraction.
Step-by-step explanation:
4 * 6 = 24.
24 + 2 = 26.
4 2/6 as an improper fraction equals 26/6.
3 * 6 = 18.
18 + 8 = 26.
3 8/6 as in improper fraction equals 26/6 as well.
So that is how they are equivalent.
Answer:
55°
Step-by-step explanation:
35°+ 90° + ? =180°
? = 180° - 125°
= 55°
Answer:

Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

Solve for <em>r: </em>
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Simplify. Thus:

Finally, add:

We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:
