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IRISSAK [1]
3 years ago
13

How are the graphs of f(x) = x2 and g(x) = -(x + 2)2 - 4 related?

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

g(x) is f(x) shifted 4 units down and 2 units to the left and flipped over the x-axis.

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A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the
Oliga [24]

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

                                       width = 5 feet

                                       height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

x^{2} = 6^{2} + 5^{2}

x^{2} = 36 + 25

   = 61

x = \sqrt{61}

  = 7.81

let the length of the diagonal support be represented by l. So that;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

l^{2} = x^{2} + 8^{2}

  = \sqrt{61} + 64

l  = \sqrt{\sqrt{61} + 64 }

  = 61 + 8

  = 69

Thus, the length of the diagonal support is 69 feet.

6 0
3 years ago
Simplify 32q^9r^4 / 4q^3r
Over [174]

Step-by-step explanation:

the answer is 8q^6r^3 and here are the steps in pic.

7 0
2 years ago
Read 2 more answers
What is the volume of a cylinder with a radius of 10cm and a height of 30cm
lys-0071 [83]

Answer:

9,424.8 cm^3

Step-by-step explanation:

V = A of circle x h

= πr^2 x h

=(3.1416)(10)^2 x 30

=(3.1416)(100) x 30

=314.16 x 30

=9429.8

4 0
3 years ago
100,000 less then560,000+313.00
Ymorist [56]
560,000+313 = 560,313

560,313-100,000= 460,313

answer is 460,313
4 0
3 years ago
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I started cooking at4:55 PM I finish cooking at 6:18 PM how long did I cook
Mars2501 [29]
5 minutes until 5, 60 minutes until 6, and 18 minutes until 6:18. that means it is 83 minutes
3 0
2 years ago
Read 2 more answers
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