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4 years ago

14. A triangle ABC is drawn on a coordinate plane. Find the length of the side BC.

Mathematics

1 answer:

Sveta_85 [38]4 years ago

3 0

My best guess would be A

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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

Illusion [34]

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 $-3\text{ and }2$ .

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

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

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

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

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 $x=-2,0,3$ .

7 0

4 years ago

Pleaseee answer asap.. thanks

andreyandreev [35.5K]

Answer:

the answer will be D

Step-by-step explanation:

5 0

3 years ago

Which one is greater explain why. 8/10 and 0.91

BARSIC [14]

Answer:

0.91 because 8/10 as a decimal is 0.8

Step-by-step explanation:

so 0.91 is bigger than 0.8

7 0

3 years ago

Read 2 more answers

144 flowers in a vase the ratio of yellow to pink flowers is 5 to 6 how many yellow flowers are in the vase

azamat

$\frac{5}{11} \times 144 \: is \: the \: amount \: of \: yellow \: flowers \\ \\ \frac{5}{11} \times 144 = 65.45 = 65$
therfore there is 65 yellow flowers

4 0

3 years ago

Find the range. 3 –9 7 –1 5 –4 2

grin007 [14]

Put in order from smallest to largest
–9, –4, –1, 2, 3, 5, 7

Minimum = –9<span>
Maximum = 7

</span>Range = 7 - (-9) = 7 + 9 = 16

Range = the difference between the maximum and minimum data values

hope it helps

7 0

3 years ago