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ozzi
3 years ago
8

Mr. Brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. He has drawn a sketch on a coordinate grid.

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

<em>(9,2) and (-6,2).</em>

Step-by-step explanation:

<u>Rectangular Coordinates</u>

The lower vertices of a rectangular welcome sign in Mr. Brettler's gym are (9,-3) and (-6,-3).

Note these two vertices are 3 units below the x-axis. We know the sign is 5-foot tall, so the y-coordinates of the two upper vertices should be -3+5=2.

The upper vertices of the sign on the grid are (9,2) and (-6,2).

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Given the equation, y=1/2x-2, determine the value for x when y=8
Olegator [25]
The answer is x= 20.
Plug 8 in for y and then add 2 to both sides. You'll get 10= 1/2x so divide both sides by 1/2 to get your answer of 20.
5 0
3 years ago
Which expression is equivalent to ( 4mn / m^-2n^6)^-2
inn [45]

Here are a few rules with exponents that apply here:

  1. Raising a power to a power: (x^m)^n=x^{m*n}
  2. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  3. Converting negative exponents to positive ones: x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m

Firstly, solve the outer exponent:

(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}

Next, divide:

\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}

Next, convert the negative exponents:

4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}

<u>Your final answer is n^10/16m^6 , or B.</u>

8 0
3 years ago
I need answer please​
Assoli18 [71]

It is centered at (h,k) --> (0,0) and has a radius 9

The equation of the circle is

           (x-h)^{2} +(y-k)^{2} =r^{2} \\(x-0)^{2} +(y-0)^{2} =r^{2}\\x^{2} +y^{2} = 9^{2}

Hope that helps!

4 0
3 years ago
How many rectangular faces does a pentagonal pyramid have?
Evgen [1.6K]
My best answer 5 faces.
7 0
3 years ago
Read 2 more answers
PLEASE HELP
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

intersection = { } no common elements.

union = { b,d,f,a,c,k}

6 0
3 years ago
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