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3 years ago

Y is inversely proportional to (x+2)² when x=1, y=2

Mathematics

1 answer:

REY [17]3 years ago

6 0

Answer:

y = 18 / (x + 2)²

Step-by-step explanation:

Inversely proportional

y * (x + 2)² = k

when x=1, y=2

k = 2 * (1 + 2)²

k = 18

-----------------------

y * (x + 2)² = 18

Divide both sides by (x + 2)²

y = 18 / (x + 2)²

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What is the base of a triangle with a height of 14 cm and an area of 42 square cm?

sasho [114]

Answer:

$6cm$

Step-by-step explanation:

$area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm$

hope this helps

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3 years ago

Read 2 more answers

Find the surface area of the prism

Anastasy [175]

slated surface

17 × 20 = 340

2 triangle sides

2 × 8 × 15 ÷ 2 = 120

backside

8 × 20 = 160

bottom

15 × 20 = 300

sum all of it

340 + 120 + 160 + 300 = 920

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3 years ago

A bag contains blue marbles and red marbles, 107 in total. The number of blue marbles is 7 more than 4 times the number of red m

Alecsey [184]

Answer: blue= 93.625

Step-by-step explanation:

Let the red ball be y

Four times of red is 4y

And blue is seven times of red which means 7(4y)

4y+7(4y)=107

Open the bracket

4y+28y=107

32y=107

y=107/32

Make y the subject of formula

y=3.34

Therefore,blue is

7(4(3.34))

Blue= 93.625

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3 years ago

×^4+×^3-7×^2+8×+1/×^2+3×-2

puteri [66]

X^4+ x^3 - 6x^2+8x-1

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3 years ago

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Leya [2.2K]

Answer:

Step-by-step explanation:

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3 years ago