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3 years ago

Prince is 6n years old. jordan is (3n + 10) years older than prince

Mathematics

1 answer:

Tamiku [17]3 years ago

6 0

Answer:

a) 9n + 10 years.

b) 13n + 10 years.

c) 6n - 9 years

d) 19n + 1 years.

e) 77 years.

Step-by-step explanation:

a) Prince is 6n years old. Jordan's age is (3n + 10) years more than Prince.

So, Jordan's age is (6n + 3n + 10) = 9n + 10 years.

b) The total age of Prince and Jordan will be (6n + 9n + 10) = 13n + 10 years.

c) Kimberly's age is 9 years less than Prince.

So, the age of Kimberly will be 6n - 9 years.

d) The total age of the three people will be (6n - 9 + 13n + 10) = 19n + 1 years.

e) If n = 4, then total age of three people will be 19(4) + 1 = 77 years. (Answer)

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Answer:

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Step-by-step explanation:

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3 years ago

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fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

<u>Area of square 1: 81 square inches</u>

$s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9$

<u>Perimeter of square 2: 48 inches</u>

$4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches$

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

$(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15$

Hence,

The length of side of largest square is 15 inches

5 0

3 years ago

The graph of g(x) is a transformation of the graph of f(x)=2x. Enter the equation for g(x) in the box. g(x) =

Lunna [17]

<h3>Answer: $g(x) = 2^x - 3$ </h3>

The -3 is not in the exponent

Explanation:

The parent function is $f(x) = 2^x$ . Plugging in x = 0 leads to y = 1. So the point (0,1) is on the f(x) curve. Going from (0,1) to (0,-2) is a vertical shift of 3 units downward. To represent this shift, we tack on a "-3" at the end of the f(x) function.