Which set of data has the same mode and median?

Mathematics

2 answers:

BabaBlast [244]3 years ago

5 0

C both median and mode are 7

Fittoniya [83]3 years ago

3 0

Answer:

Step-by-step explanation:

the middle number was 7 and so was the most common number

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A line passes through the points (–6, 4) and (–2, 2). Which is the equation of the line?

insens350 [35]

Answer:

y=-1/2x+1

Step-by-step explanation:

We can use the points to find the slope of the line.

Equation: y₂-y₁/x₂-x₁

2-4/-2-(-6)

2-4/-2+6

-2/4

-1/2 is the slope of the line

So the equation is y=-1/2x+b

We can substitute one of the x-coordinates and the matching y-coordinate into this equation:

2=-1/2*(-2)+b

2=1+b

1=b

b=1

Therefore, the equation is y=-1/2x+1

5 0

3 years ago

Convert the polar equation r = 2 secØ to a Cartesian equation.y = 2x = 2x^2 = 2

ss7ja [257]

Polar and cartesian equation<h2>Initial explanation</h2>

Let's analyze the relation between r and x and y:

We have that between the indicated value of r (of the polar coordinates) and x and y (of the cartesian coordinates) there is a relation because they form a triangle. If r changes, then the value of x and y will change.

<h2>STEP 1: given equation</h2>

Using the given equation

r = 2 secØ

we have that

$\begin{gathered} r=2secØ \\ \downarrow \\ \frac{r}{2}=secØ \end{gathered}$ <h2>STEP 2: secØ equation</h2>

Observing the image of the initial explanation we have a right triangle, we know that the equation of

secØ for any right triangle is given by:

$\sec Ø=\frac{\text{hypotenuse}}{\text{adjacent side}}$

In this case,

hypotenuse = r

adjacent side = x

then,

$\begin{gathered} \sec Ø=\frac{\text{hypotenuse}}{\text{adjacent side}}=\frac{r}{x} \\ \sec Ø=\frac{r}{x} \end{gathered}$ <h2>STEP 3: comparison between given equation and secØ equation</h2>

Then, we have that: