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Sav [38]
2 years ago
14

Graph the result of the following transformation on f(x)​

Mathematics
1 answer:
pshichka [43]2 years ago
7 0

The graph would be the normal parent function of f(x) but all points would be 6 units up.

There's an upward vertical shift of 6. To graph this, you need to graph the function f(x) and then add 6 units to all the y values.

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The composite figure shown has a surface area of 844 square centimeters.
kolezko [41]

Given the surface area of the composite figure, the height of the rectangular prism is approximately 8 centimeters.

<h3>What is the height of the rectangular prism?</h3>

First we calculate the surface area of the rectangular pyramid;

S.A = lw + (1/2)w√(4h²+l²) + (1/2)l√(4h²+w²)

Given that;

  • w = 10cm
  • l = 18cm
  • h = 12cm

S.A = lw + (1/2)w√(4h²+l²) + (1/2)l√(4h²+w²)

S.A = (18cm×10cm) + (1/2)10cm√(4(12cm)²+18cm²) + (1/2)18cm√(4(12cm)²+(10cm)²)

S.A = (180cm²) + 5cm√(576cm² + 324cm²) + 9cm√(576² + 100cm²)

S.A = (180cm²) + 5cm(30cm) + 9cm(26cm)

S.A = 180cm² + 150cm² + 234cm²

S.A = 180cm² + 150cm² + 234cm²

S.A = 564cm²

Now, surface Area of the rectangular prism will be;

= Area of composite figure - surface area of the rectangular pyramid

= 1844cm² - 564cm²

= 1280cm²

Now surface area of rectangular prism is expressed as;

SA = 2lw + 2lh + 2hw

  • w = 10cm
  • l = 18cm
  • h = x

SA=2lw + 2lh + 2hw

SA - 2lw  =  h( 2l + 2w)

h = (SA - 2lw) / ( 2l + 2w)

h = (1280cm² - ( 2×18cm×10cm)) / ( 2×18cm + 2×10cm)

h = (1280cm² - 360cm²) / ( 36cm + 20cm)

h = 1020cm² / 56cm

h = 8cm

Given the surface area of the composite figure, the height of the rectangular prism is approximately 8 centimeters.

Learn more about Prism and Pyramid here: brainly.com/question/9796090

#SPJ1

8 0
2 years ago
An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 390 feet of antiqu
Ksenya-84 [330]

Length (L): L

width (w): (2/3)L

Perimeter (P) = 2L + 2w

               390 = 2(L) + 2(2/3)(L)

               1170 = 6L + 4L

               1170 = 10L

                  117 = L

width (w): (2/3)L   = (2/3)(117) = 2(39)   = 78

Answer: width = 78 ft, length = 117 ft


3 0
3 years ago
What is the exponent for 61,204
melamori03 [73]
Help me I forgot what an exponent is help me pls.
8 0
3 years ago
There are five blue colored balls, 3 red colored balls, and two black colored balls in a container. Another container has one pi
galina1969 [7]

Answer:

Option 3

Step-by-step explanation: I think it is option 3

6 0
2 years ago
What is 23 over 18 in simplest form
tatuchka [14]
\frac{23}{18} is already in simplest form because 23 is a prime number, which means that it is only divisible by 1 and itself (23). Hope this helps! :)
6 0
3 years ago
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