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makkiz [27]
3 years ago
10

Based on what you know from the above question: What could be the measurement of the third side of a triangle if two sides are 6

cm and 15m?
A
8cm
B
18cm
C
6cm
D
21cm
Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

Answer:

21 cm

Step-by-step explanation:

2 sides of a triangle must equal to more than the last side of the triangle. So, 6 + 15 is more than 6 cm, also more than 8 cm, and also more than 18 cm. So the answer must be 21 cm. I hope this helped and please mark me brainliest!

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
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Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

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Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

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