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4 years ago

Children play a form of hopscotch called jumby. the pattern for the game is as given below.

Mathematics

1 answer:

zaharov [31]4 years ago

5 0

Answer:

7t^2 + 21t

Step-by-step explanation:

You have 7 tiles of each t by t+3.

One tile has an area of

t * (t+3) = t^2 + 3t

So in total the area is

7* (t^2 + 3t)

7t^2 + 21t

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A house costs 36% more today than when it built.if the cost of the house today is $333200,find its cost when it was built

Brrunno [24]

Answer:

The cost of house was $245000 when it was built.

Step-by-step explanation:

Given that:

Cost of the house today = $333200

Percent increase in today's price = 36%

Let,

x be the cost of house when it was built.

100 be the percentage when the house was built.

Percentage of house price today = (100+36)% = 136%

136% of x = 333200

$\frac{136}{100}*x=333200\\1.36x=333200$

Dividing both sides by 1.36

$\frac{1.36x}{1.36}=\frac{333200}{1.36}\\x=245000$

Hence,

The cost of house was $245000 when it was built.

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3 years ago

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2 years ago

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ivann1987 [24]

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4 years ago

What is the image of (7,8) after a reflection over the line y = x?

IgorLugansk [536]

Answer:

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3 years ago

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Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0

antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y: y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

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3 years ago

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