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4 years ago

5

What is the hypotenuse?

2 answers:

Triss [41]4 years ago

6 0

Answer:

It is the longest side of a right angle triangle.

Step-by-step explanation:

Ksenya-84 [330]4 years ago

4 0

the longest side of a right triangle, opposite of the right angle

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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

The price of a pair of shoes increases from $62 to $81. What is the percent increase to the nearest percent?

maksim [4K]

The answer is 30%

Because $62 + 30%= $80.6

4 0

3 years ago

Read 2 more answers

1. Graph the function . Draw a chart to show at least four ordered pairs that are on the graph.

erastova [34]

Simple...

you have: $y= \frac{2}{x}$

Graph is attached.

Some ordered on this line are-->>

Using x y

(-4,-0.5)

(-3,-0.667)

(-2,-1)

(1,2)

(3,0.667)

(4,0.5)

Thus, your answer.

5 0

3 years ago

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Lindsay and Marcello are setting up booths for the school carnival. There are six booths: ring toss, face painting, snacks, tick

nikitadnepr [17]

It is 24 way to arranged the booths

3 0

3 years ago

Santos flipped a coin 300 times. The coin landed heads up 175 times. Find the ratio of heads to total number of coin flips. Expr

artcher [175]

175:300 but it simplifies all the way down to 7:12

6 0

3 years ago

Read 2 more answers