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Mila [183]
3 years ago
11

can someone help me with this? this is algebra 2 question and please show me all work (orderd pair, vertex, graph ect..)

Mathematics
1 answer:
Andrews [41]3 years ago
8 0
To find the maximum height you need to find the vertex:(h,k)  
Your equation is in vertex form a(x-h)+k and the vertex is (h,k) where k is the maximum height and the h is the distance it went to reach the maximum height.
k=6 so the kangaroo's maximum height is 6 feet.

To find how long is the kangaroo's jump, take a look at the graph. You will notice that the parabola ends at the distance the kangaroo jumped. You will also see that it is the one of the x-intercepts. 

 
 -.03(x-14)^2+6=0
-.03(x-14)^2+6-6=0-6
-.03(x-14)^2=-6
-.03/-.03(x-14)=-6/-.03
(x-14)^2=200
[(x-14)^2]^.5=200^.5
x-14=(200)^.5
x-14+14=(200)^.5+14
x≈28.14 feet
The kangaroo jumped a distance of 28.14 feet.

You will notice that the square root of a number gives you two solutions a positive and a negative one. The other solution is -.14, which we know distance is not negative so we do not use that solution. Also, I used the ^.5 instead of using the square root. It is the same. 


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-- No two sides of a right <u>triangle</u> ... or any other triangle ...can be parallel.


8 0
3 years ago
I need help please?!!!!!!
Vadim26 [7]

Answer:

simplified is

x ^5 y ^15 z ^10

Step-by-step explanation:

3 0
3 years ago
What is 10y ^1/2 in radical form
monitta
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5 0
3 years ago
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Use a trigonometric identity to find the indicated value in the specified quadrant.
aleksandr82 [10.1K]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2782751

_______________


Cosine and secant functions are reciprocal, which means

\mathsf{sec\,\theta=\dfrac{1}{cos\,\theta}}


So, if  \mathsf{cos\,\theta=\dfrac{3}{8},}  then

\mathsf{sec\,\theta=\dfrac{1}{~\frac{3}{8}~}}\\\\\\&#10;\mathsf{sec\,\theta=\dfrac{8}{3}\qquad\quad\checkmark}


I hope this helps. =)


Tags:   <em>cosine secant cos sec relation reciprocal trig trigonometry</em>

7 0
3 years ago
Solve for x:<br> 2(3x + 4) + 2 = 4 + 3x
Anton [14]

Answer:

-2

Step-by-step explanation:

Distribute

2

(

3

+

4

)

+

2

=

4

+

3

{\color{#c92786}{2(3x+4)}}+2=4+3x

2(3x+4)+2=4+3x

6

+

8

+

2

=

4

+

3

{\color{#c92786}{6x+8}}+2=4+3x

6x+8+2=4+3x

2

Add the numbers

6

+

8

+

2

=

4

+

3

6x+{\color{#c92786}{8}}+{\color{#c92786}{2}}=4+3x

6x+8+2=4+3x

6

+

1

0

=

4

+

3

6x+{\color{#c92786}{10}}=4+3x

6x+10=4+3x

3

Rearrange terms

6

+

1

0

=

4

+

3

6x+10={\color{#c92786}{4+3x}}

6x+10=4+3x

6

+

1

0

=

3

+

4

6x+10={\color{#c92786}{3x+4}}

6x+10=3x+4

4

Subtract  

1

0

10

10

from both sides of the equation

6

+

1

0

=

3

+

4

6x+10=3x+4

6x+10=3x+4

6

+

1

0

−

1

0

=

3

+

4

−

1

0

6x+10{\color{#c92786}{-10}}=3x+4{\color{#c92786}{-10}}

6x+10−10=3x+4−10

5

Simplify

Subtract the numbers

Subtract the numbers

6

=

3

−

6

6x=3x-6

6x=3x−6

6

Subtract  

3

3x

3x

from both sides of the equation

6

=

3

−

6

6x=3x-6

6x=3x−6

6

−

3

=

3

−

6

−

3

6x{\color{#c92786}{-3x}}=3x-6{\color{#c92786}{-3x}}

6x−3x=3x−6−3x

7

Simplify

Combine like terms

Combine like terms

3

=

−

6

3x=-6

3x=−6

8

Divide both sides of the equation by the same term

3

=

−

6

3x=-6

3x=−6

3

3

=

−

6

3

\frac{3x}{{\color{#c92786}{3}}}=\frac{-6}{{\color{#c92786}{3}}}

33x​=3−6​

9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

−

2

3 0
2 years ago
Read 2 more answers
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