9.
By the Segment Addition Postulate, SAP, we have
XY + YZ = XZ
so
YZ = XZ - XY = 5 cm - 2 cm = 3 cm
10.
M is the midpoint of XZ=5 cm so
XM = 5 cm / 2 = 2.5 cm
11.
XY + YM = XM
YM = XM - XY = 2.5 cm - 2 cm = 0.5 cm
12.
The midpoint is just the average of the coordinate A(-3,2), B(5,-4)
Answer: M is (1,-1)
You'll have to plot it yourself.
13.
For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.
Answer: AB=10
M is the midpoint of AB so
Answer: AM=MB=5
14.
B is the midpoint of AC. We have A(-3,2), B(5,-4)
B = (A+C)/2
2B = A + C
C = 2B - A
C = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)
Check the midpoint of AC:
(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, good
Answer: C is (13, -10)
Again I'll leave the plotting to you.
Answer:
6.3 mm
Step-by-step explanation:
The Pythagorean theorem tells you ...
c^2 = a^2 + b^2
Solving for "a", you get
a = √(c^2 -b^2)
a = √(8.3^2 -5.4^2) = √39.73
a ≈ 6.3 . . . . mm
The length of "a" is about 6.3 mm.
Answer:
Vertex is (-1/3, -13/3)
Axis of symmetry is x = -1/3
Step-by-step explanation:
For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k
Vertex form for this equation is:
Y = -6(x + 1/3)^3 - 13/3
To find the vertex, the formula is (h,k)
So, ( -1/3, -13/3)
<span>2 11/100 you cannot simplify that anymore</span>The first, decimal place is the tenths place and the second is the hundredths place. Since the decimal goes out to two decimal places, the fraction must be over one hundred. To find the numerator, simply look at the value of the decimal, in this case, 11.
<span>That is your final answer, since 11 and 100 have no common factors besides 1, as 11 is a prime number.
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