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Bad White [126]
2 years ago
9

Find the length of the third side. If necessary, write in simplest radical form.

Mathematics
1 answer:
Furkat [3]2 years ago
3 0

Answer:

7

Step-by-step explanation:

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4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
Natalka [10]

The zeros of

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

are

x=0,x=-2,x=-5x=0,x=−2,x=−5

EXPLANATION

The given function is

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

To find the zeros of the above function, we just have to equate the function to zero and solve for x.

x(x + 2)(x + 5) = 0x(x+2)(x+5)=0

This implies that,

x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0

x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5

To graph the above function, we need to consider the multiplicity.

We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.

We also need to consider the position of the graph on the following intervals,

x < - 5x<−5

When

x = - 10x=−10

y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0

The graph is below the x-axis.

- 5 \: < \: x \: < \: - 2−5<x<−2

When

x = - 3x=−3

y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0

The graph is above the x-axis.

- 2 \: < \: x < \: 0−2<x<0

when

x = - 1x=−1

y = -1(1)(4) \: < \: 0y=−1(1)(4)<0

The graph is below the x-axis.

Finally the interval,

x \: > \: 0x>0

when

x = 1x=1

y = 1(3)(6) \: > \: 0y=1(3)(6)>0

The graph is above the x-axis.

We can now use the above information to sketch graph as shown in the diagram above

3 0
3 years ago
Simplify this expression using the distributive property.
Kruka [31]

the answer is c: .... 72+8w

6 0
3 years ago
Read 2 more answers
Please help this is a 30 60 90 triangle
natka813 [3]

Answer:

See below

Step-by-step explanation:

x =  \frac{1}{2}  \times  \sqrt{6}  \\  \\ x =  \frac{ \sqrt{6} }{2}  \\  \\ y =  \frac{ \sqrt{3} }{2}  \times  \sqrt{6}  \\  \\ y =  \frac{ \sqrt{3 \times 6} }{2}  \\  \\ y =  \frac{ \sqrt{18} }{2}   \\  \\ y =  \frac{ 3\sqrt{2} }{2}

8 0
3 years ago
Read 2 more answers
Can someone help me with this
Marizza181 [45]

Answer:

ree

Step-by-step explanation:

7 0
2 years ago
F(x) = 2/x, g(x) = |x| -1 <br><br><br> What is the domain of (fog) (x)?<br><br> will mark brainliest
brilliants [131]

Answer:

x≠-1,1

Step-by-step explanation:

f(g(x)) is a composition where g(x) is is substituted for x in f(x).

Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.

|x|-1=0

|x|=1

x=1,-1

3 0
3 years ago
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