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3 years ago

A right triangle has legs with lengths 20 cm and 21 cm.

Mathematics

1 answer:

uranmaximum [27]3 years ago

3 0

C²=a²+b²
c²=20²+21²=400+441=841
c²=841
c=√841
c=29
Answer: 29 cm

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Which of these are expressions?

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Answer:

a/9

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1. How could you figure out the coordinates of a reflection over the x-axis? What would the coordinates of that reflected point

zzz [600]

The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>reflection, translation, rotation and dilation.</em>

The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

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2 years ago

Joshua and Caleb work at a furniture store. Joshua is paid $175 per week plus 5% of his total sales in dollars, x, which can be

Agata [3.3K]

Answer: x = $11,900

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Joshua’s earnings: g(x)=175+0.05x

Caleb's earnings: f(x)=532+0.02x.

So, if both earnings are equal:

g(x) =f (x)

175+0.05x =532+0.02x

Solving for x:

0.05x-0.02x = 532-175

0.03x= 357

x = 357 /0.03

x = $11,900

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

Marty and Ethan both wrote a function, but in different ways.

NNADVOKAT [17]

Answer:

Marty's with a slope of 1/3

Step-by-step explanation:

The functions Marty and Ethan wrote are analyzed the find the slope of each of the function

The equation Marty wrote is presented here as follows;

$y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right)$

Marty's equation can be written in slope and intercept form, <em>y = m·x + c</em>, as follows;

$y = \dfrac{1}{3} \cdot\left (x + 9 \right) - 3$

$y = \dfrac{1}{3} \cdot x + \dfrac{9}{3} \right) - 3 = \dfrac{1}{3} \cdot x + 0$

$y = \dfrac{1}{3} \cdot x$

By comparison, the slope of the function, m = 1/3

$\therefore \ the \ slope \ of \ Marty's \ function, \ y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right), \ m =\dfrac{1}{3}$

Marty's function has a slope of m = 1/3

Ethan has the following two column table;

$\begin{array}{rl}x&y\\-4&9.2\\-2&9.6\\0&10\\2&10.4\end{array}$

The slope, <em>m,</em> of the data in the above table is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;

$Slope, \, m =\dfrac{10.4-9.2}{2-(-4)} = \dfrac{1.2}{6} = \dfrac{1}{5}$

Ethan's function has a slope of m = 1/5

Therefore;

Marty's slope of 1/3 is larger, given that 1/3 > 1/5.

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3 years ago