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Virty [35]
3 years ago
6

The graph of a rational function has local maxima at (-1,0) and (8,0). The complex number 2+3i is a zero of the function. What i

s the least possible degree of this function? (answer choices included)
a. 3
b. 4
c. 5
d. 6
Mathematics
2 answers:
Zina [86]3 years ago
8 0

The answer is 6. That is what I got when I took the quiz

Aneli [31]3 years ago
4 0
Any polynomial's graph cannot have two simultaneous maxima, so they must contain a minima between them. Thus, the total number of turning points of the graph is 3. Generally, when plotting a polynomial, the number of turning points is:
n = d -1; where d is the degree of the polynomial and n is the number of turning points. Thus, this function's degree must be at least 4. The answer is b.
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⦁ To the nearest tenth, find the perimeter of ∆ABC with vertices A(2,4), B(-2,1) and C(2,1). Show your work.
Colt1911 [192]
We need the length of the sides.
AB=√(2-(-2))²+(4-1)²=√16+9=√25=5; BC=√4²+0=4; CA=√0+9=3. AB+BC+CA=5+4+3=12.
5 0
3 years ago
This figure shows △XYZ . MZ¯¯¯¯¯¯ is the angle bisector of ∠YZX . What is XM ? Enter your answer, as a decimal, in the box. unit
astraxan [27]

Answer:

Length of XM is 5.5 units.

Step-by-step explanation:

Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.

A triangle with vertices  X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.

YZ=7 units, XZ=11 units and YM=3.5 units

By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.

Hence, \frac{YM}{MX}=\frac{YZ}{XZ}

⇒ \frac{3.5}{MX}=\frac{7}{11}

⇒ MX=5.5 units.

Hence, length of XM is 5.5 units.


4 0
3 years ago
Read 2 more answers
Please can someone show me how to do this. Thanks
Nadusha1986 [10]

Answer:

x equals 3.00cm

Step-by-step explanation:

Use Pythagoras' Theorem.

a = (14x-45)

b = (16x+27)

c = (25x)

Plug in the variables above into Pythagoras' Theorem that is, a^2+b^2=c^2.

Solve the resulting quadratic equation and reject the negative answer as length is always positive.

5 0
3 years ago
How i can prove the proofs?
Marianna [84]
You can prove the proofs by showing your work to prove the proofs.
3 0
3 years ago
Kind of lost, can anyone please help me find the answer and explain? Id really appreciate it.
stich3 [128]

Answer:

B. 45

Step-by-step explanation:

do 12×12 which is 144 then Davide it by 2 because it's a triangle then do 9×3 which is 27 then subtract that from 72 and you get 45.

5 0
3 years ago
Read 2 more answers
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