Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Step 1
Find the length of MD
we know that
The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle
so
In this problem
------> is the radius of a circle inscribed inside the triangle
we have that
therefore
Step 2
Find the length of DC
we know that
In the right triangle MDC
Applying the Pythagoras theorem
we have
substitute
Answer: 
<u>Step-by-step explanation:</u>
The vertex form of a parabola is: y = a(x - h)² + k where
- (h, k) is the vertex
NOTE: p is the distance from the vertex to the focus
The vertex (h, k) is (2, -3)
Insert those values into the vertex formula to get:
#66 Dimensions of matrix: The dimensions of a matrix are
[number of rows (across) x number of columns (up and down)]
There is 1 row and 4 columns, hence the dimensions of [1 x 4]
#71: use factor/label conversion method.
480 minutes 1 hour 480 hours 8 hours
* -------------- = -------------- =
60 minutes 60 minutes
#72: common difference is how you get from one number to the next in the sequence. So from 42 to 38, you subtract 4, and the pattern is subtract 4 for the whole sequence. So the common difference <em></em>is -4
#38: The midpoint is the middle of the two coordinates, so imagine when used to find mean by drawing a number line like 1 to 10 and the mean would be 5. What did you do? You added 1 and 10 and divided by 2.
You can use the same method for finding midpoints on the coordinate plane.
The formula for midpoint is <span><span>(<span><span>x1+x</span>2</span>)</span>,<span>(<span><span>y1+y</span>2</span>). So it's (5 + 2) , (8 + 7) which equals (7, 15).
#35: This is the same 3* x^(9*1/5) = 3*x^9/5
Remember square root of a number is the same as that number to the 1/2, and the same with all other roots. The fifth root of x is the same as x to the power of 1/5
#36: This is the same as 36*( x^5*3/2 * y^3*3/2), since you can put the power to each of the numbers almost like the distributive property.
= 36 * (x^15/2 * y^9/2)
Well #20 is <em>extremely</em><em> </em>easy. The solutions are anything that is shaded in the blue
The rightmost question is the same thing as #20. Anything not shaded is not a solution.
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#64: Just like you learned in elementary school, the median is the middle number. The middle number is 10<span>
</span>
Answer:
z = -6
Step-by-step explanation:
5z + 2 = 3z - 10
Subtract 3z from both sides
2z + 2 = -10
Subtract 2 from both sides
2z = -12
Divide each side by 2
z = -6
So, the answer is z = -6
