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3 years ago

T he area of a square postage stamp is 81/100 in 2. What is the side length of the stamp?

Mathematics

1 answer:

mixas84 [53]3 years ago

8 0

We have been given that area of a square postage stamp is $\frac{81}{100} \text{ in}^2$

We have to find the side length of the stamp. In order to find the same, we use the formula for area of a square.

The area of a square with side length 'a' is given by

$A=a^2$

Substituting the value of area in this formula, we get

$\frac{81}{100} = a^2\\
\\
a=\frac{9}{10}$

Therefore, the side length of the stamp is given by 9/10 inches.

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3 years ago

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3 years ago

How to solve x=6y-11 and 3x-2y=-1 by substitution

vagabundo [1.1K]

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3 years ago

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vfiekz [6]

What table.

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3 years ago

What is the y value of the vertex of the function f(x)=-(x-3)(x+11)

AnnyKZ [126]

Answer:

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

-x + 3

Which gives us:

(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

3 * x = 3x

3 * 11 = 33

-x² - 11x + 3x + 33

-x² - 8x + 33

The formula for finding the x coordinate of a vertex in a quadratic equation is:

x = $\frac{-b}{2a}$

Plug known variables in:

$x = \frac{-(-8)}{2(-1)}$

$x = \frac{8}{-2}$

$x = -4$

Now, to find the y coordinate, plug this variable back into the quadratic equation:

-x² - 8x + 33

$y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\$

y = 49

So the y coordinate of the vertex is 49.

Hope this helps!

4 0

3 years ago