$General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52$

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

5 0

3 years ago

A coin was flipped 150 times. The results of the experiment are shown in the following table:

Zolol [24]

Answer:

A it is 10% higher than the theoretical probability

Step-by-step explanation:

6 0

4 years ago

const2013 [10]

The equation in the given standard form is $(x+10)^2+(y+6)^2=5^2$

<h3>Equation of a circle</h3>

The standard equation of a circle is expressed as:

$(x-a)^2+(y-b)^2=r^2$

Given the equation $x^2 + y^2 + 20x + 12y + 111 =0$

Group the function to have:

$(x^2 +20x)+(y^2+ 12y) + 111 =0$

Complete the squares to have:

$(x^2 +20x)+(y^2+ 12y) + 111 =0\\(x^2+20x+10^2-10^2)+(y^2+12y+6^2-6^2)+111=0\\(x+10)^2+(y+6)^2 -100-36+111=0\\(x+10)^2+(y+6)^2-25=0\\(x+10)^2+(y+6)^2=25\\(x+10)^2+(y+6)^2=5^2$

Hence the equation in the given standard form is $(x+10)^2+(y+6)^2=5^2$

Learn more on equation of a circle here: brainly.com/question/1506955

4 0

3 years ago

Which value is needed in the expression below to create a perfect square trinomial?

Alchen [17]

Answer:

<h3>The value which is needed to be added to transform the quadratic expression as a perfect square Trinomial is 16.</h3>

5 0

3 years ago