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3 years ago

Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4

Mathematics

1 answer:

fomenos3 years ago

6 0

Answer:

x g(x)

1 −10

2 −12

3 −14

Step-by-step explanation:

Substitute the values and do the arithmetic.

Table values for x are 1, 2, 3. We only need to find g(1) to determine which table is the correct choice.

f(1) = 1 +4 = 5 . . . . . . . . . put 1 where x is and do the arithmetic

g(1) = -2·f(1) = -2·5 = -10 . . . . . matches the 3rd choice

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find the area of the trapezium whose parallel sides are 25 cm and 13 cm The Other sides of a Trapezium are 15 cm and 15 CM

Snezhnost [94]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - A trapezium ABCD with non parallel sides of measure 15 cm each ! along , the parallel sides are of measure 13 cm and 25 cm

To find - Area of trapezium

Refer the figure attached ~

In the given figure ,

AB = 25 cm

BC = AD = 15 cm

CD = 13 cm

Construction -

$draw \: CE \: \parallel \: AD \: \\ and \: CD \: \perp \: AE$

Now , we can clearly see that AECD is a parallelogram !

$\therefore$ AE = CD = 13 cm

Now ,

$AB = AE + BE \\\implies \: BE =AB - AE \\ \implies \: BE = 25 - 13 \\ \implies \: BE = 12 \: cm$

Now , In ∆ BCE ,

$semi \: perimeter \: (s) = \frac{15 + 15 + 12}{2} \\ \\ \implies \: s = \frac{42}{2} = 21 \: cm$

Now , by Heron's formula

$area \: of \: \triangle \: BCE = \sqrt{s(s - a)(s - b)(s - c)} \\ \implies \sqrt{21(21 - 15)(21 - 15)(21 - 12)} \\ \implies \: 21 \times 6 \times 6 \times 9 \\ \implies \: 12 \sqrt{21} \: cm {}^{2}$

Also ,

$area \: of \: \triangle \: = \frac{1}{2} \times base \times height \\ \\\implies 18 \sqrt{21} = \: \frac{1}{\cancel2} \times \cancel12 \times height \\ \\ \implies \: 18 \sqrt{21} = 6 \times height \\ \\ \implies \: height = \frac{\cancel{18} \sqrt{21} }{ \cancel 6} \\ \\ \implies \: height = 3 \sqrt{21} \: cm {}^{2}$

Since we've obtained the height now , we can easily find out the area of trapezium !

$Area \: of \: trapezium = \frac{1}{2} \times(sum \: of \:parallel \: sides) \times height \\ \\ \implies \: \frac{1}{2} \times (25 + 13) \times 3 \sqrt{21} \\ \\ \implies \: \frac{1}{\cancel2} \times \cancel{38 }\times 3 \sqrt{21} \\ \\ \implies \: 19 \times 3 \sqrt{21} \: cm {}^{2} \\ \\ \implies \: 57 \sqrt{21} \: cm {}^{2}$

hope helpful :D

6 0

1 year ago

Xét tính đồng biến nghịch biến của hàm số: y=-x^4-2x^2+5

lana66690 [7]

Answer:

x=77

Step-by-step explanation:

5 0

3 years ago

Please help I WILL GIVE ROBUX

igomit [66]

Answer:

57.1 mm^2

Step-by-step explanation:

AREA OF TOP and BOTTOM = 8+8 = 16 mm^2

AREA OF SIDES = 12+12+17.1 = 41.1 mm^2

TOTAL SURFACE AREA = 16 + 41.1 = 57.1 mm^2

And I don't need your Robux. Brainliest will suffice.

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3 years ago

Read 2 more answers

I need help on number 18

vladimir2022 [97]

Answer:

Plan C

Step-by-step explanation:

Complete the table first:

To find the number of weeks for each amount of $ to save, divide $500 by the amount.

Plan B: $500/$30 = 16.7 weeks, rounded to 17 weeks

Plan C: $500/$40 = 12.5 weeks, rounded to 13 weeks

Plan D: $500/$50 = 10 weeks

Save $500 in less than 16 weeks with $20 extra:

Which plans need less than 16 weeks?

Plans C and D.

Check the amount of money Plan C gives:

In 13 weeks, how much extra money does this plan give?

Extra money = Total - $500

The total money is 13 weeks * $40 = $520

$520 - $500 = $20 in extra money

Therefore Plan C gives Todd $500 in less than 16 weeks, with $20 extra.

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3 years ago

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Choose the best term from the box vocabulary 1. An ....------

Alexus [3.1K]

1. expanded form
2. round

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2 years ago