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3 years ago

laura bought a square canvas to paint a picture of her cat. one side measures 22 centimeters. what is the area of canvas.

Mathematics

2 answers:

oksano4ka [1.4K]3 years ago

6 0

Area of a square is s^2 22^2= 484 cm^2 is the area of the canvas hope this helps

Nikitich [7]3 years ago

4 0

If we know that Laura's canvas is square, and one side is 22cm,

area of a square is l*w, with a special case of l=w

the area will be
A= l*w=22*22=484cm^2

also, Asquare is=l^2

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3 years ago

What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

$f(x)=x^2+10x - 3$

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

$f(x)= ax^2+bx +c$

By comparison;

$a = 1\ b = 10\ and\ c = -10$

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

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

Substitute 10 for b and 1 for a

$x = \frac{-10}{2*1}$

$x = \frac{-10}{2}$

$x = -5$

Substitute $x = -5$ in the given function;

$y=x^2+10x - 3$

$y=(-5)^2+10*-5 - 3$

$y=25-50 - 3$

$y=-28$

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

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3 years ago

What is the surface area-to-volume ratio of the spherical barrel cactus

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I can't speak to the cactus specifically, but any sphere has a surface area of $4\pi r^2$ and a volume of $\frac{4}{3} \pi r^3$ , so the area-to-volume ratio wold be

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$= \frac{3\pi r^2}{\pi r^3}\\\\
= \frac{3}{r}$

Where <em>r</em> is the radius of the sphere.

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Hello,
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