All categories

3 years ago

Find the equation of the following sets of data:find the slop:(-2,-2)and(2,0)

Mathematics

1 answer:

aleksklad [387]3 years ago

5 0

Slope (m) = (y2-y1)/(x2-x1) = (0-(-2))/(2-(-2)) = 2/4 = 1/2
Final answer:
M = 1/2

You might be interested in

An exterior angle at the base of an isosceles triangle is always

In-s [12.5K]

Obtuse angle
180-90=90
90/2=45
180-45
125

7 0

4 years ago

Looking to recieve help on this practice question, thank you!

dimaraw [331]

In general, the standard form of an ellipse is

$\begin{gathered} \frac{(x-h){}^2}{a^2}+\frac{(y-k)^2}{b^2}=1 \\ a,b,h,k\rightarrow\text{ constants} \\ (h,k)\rightarrow\text{ center} \end{gathered}$

Thus, in our case, complete the squares for x and y, as shown below

$\begin{gathered} 3x^2-12x=3(x^2-4x) \\ and \\ x^2-4x+c^2=(x-c)^2 \end{gathered}$

Finding c,

$\begin{gathered} \Rightarrow x^2-4x+c^2=x^2-2cx+c^2 \\ \Rightarrow-4x=-2cx \\ \Rightarrow c=2 \\ \Rightarrow3x^2-12x+3*4=3(x^2-4x+4)=3(x-2)^2 \end{gathered}$

Therefore, after adding +12 to both sides of the initial equation, we get,

$\begin{gathered} 3x^2+5y^2-12x+30y+42+12=12 \\ \Rightarrow3(x-2)^2+5y^2+30y+42=12 \end{gathered}$

Similarly, completing the square for the variable y,

$\begin{gathered} 5y^2+30y=5(y^2+6y) \\ \Rightarrow y^2+6y+c^2=(y-c)^2 \\ \Rightarrow y^2+6y+c^2=y^2-2cy+c^2 \\ \Rightarrow6=-2c \\ \Rightarrow c=-3 \end{gathered}$

Thus,

$\begin{gathered} \Rightarrow5y^2+30y+5*(-3)^2=5(y+3)^2 \\ \Rightarrow5y^2+30y+45=5(y+3)^2 \end{gathered}$

Therefore, after adding +45 to the initial expression

$\begin{gathered} \Rightarrow3(x-2)^2+5y^2+30y+42+45=12+45 \\ \Rightarrow3(x-2)^2+5(y+3)^2+42=57 \end{gathered}$

Then,

$\begin{gathered} \Rightarrow3(x-2)^2+5(y+3)^2=15 \\ \Rightarrow\frac{3(x-2)^2}{15}+\frac{5(y+3)^2}{15}=1 \\ \Rightarrow\frac{(x-2)^2}{5}+\frac{(y+3)^2}{3}=1 \end{gathered}$ <h2>The answer is the expression immediately above this line.</h2>

The center of the ellipse, its minor axis, and major axis are

$\begin{gathered} center\rightarrow(h,k)=(2,-3) \\ semi-minor\text{ axis}\rightarrow\sqrt{3} \\ semi-major\text{ axis}\rightarrow\sqrt{5} \end{gathered}$

7 0

1 year ago

2000+5446454+45445645+90=

vodomira [7]

Answer:

the answer is 50894189

Step-by-step explanation:

pls give me brainliest

6 0

3 years ago

URGANT!!! find the coordinates of where the line 2x+3y=12

bezimeni [28]

This has infinitely many solutions if that is all that the question asked...

2x+3y=12

3y=-2x+12

y=(-2x+12)/3

So for any value of x you choose it will give you the corresponding y value that makes your original equation true.

4 0

4 years ago

Read 2 more answers

Marty ate ⅔ of his pizza. kellen ate ⅚ of his pizza. marty ate more pizza. how is this possible?

erastovalidia [21]

2/3<5/6
4/6<5/6

...............

7 0

3 years ago