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3 years ago

The slope of a line that passes through (-2,5) and (1,-7) in simplest form is

Mathematics

1 answer:

Masja [62]3 years ago

8 0

Answer:

-4

Step-by-step explanation:

Use slope intercept form: $\frac{y_2-y_1}{x_2-x_1}$

$\frac{-7-5}{1-(-2)}$ = $\frac{-12}{3}$ = -4

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Write the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5).

lys-0071 [83]

Answer:

$(x+1)^2 + (y- 3.5)^2 =64$

Step-by-step explanation:

We are given that endpoints of a diameter at the points (7,2) and (-9,5).

Center of the circle is the mid point of diameter

So, first find the mid point of diameter

Formula : $x=\frac{x_1+x_2}{2} , y=\frac{y_1+y_2}{2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

Substitute the values in formula

$x=\frac{7-9}{2} , y=\frac{2+5}{2}$

$x=-1 , y=3.5$

So, center of circle = (h,k )=(-1,3.5)

To find length of diameter :

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

$d=\sqrt{(-9-7)^2+(5-2)^2}$

$d=\sqrt{265}$

Length of radius = r = $\frac{Diameter}{2}=\frac{\sqrt{256}}{2}$

Standard form of the equation of the circle : $(x -h)^2 + (y- k)^2 = r^2$

(h,k )=(-1,3.5)

$r=\frac{\sqrt{256}}{2}$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =(\frac{\sqrt{256}}{2})^2$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =64$

Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is $(x+1)^2 + (y- 3.5)^2 =64$

5 0

3 years ago

Alberto runs 1 3/4 miles each day. which of the following can be used to find n, the number of miles he will run in a week?

tino4ka555 [31]

You would do 1 3/4x7=N. Your answer is C

6 0

3 years ago

Read 2 more answers

Find the distance from point A to the given line.

VMariaS [17]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

To find the distance between the line which formed like :

$ax + by + c = 0$

and the point which is like :

$h = \binom{m}{n} \\$

we use following equation :

$d = \frac{ |a(m) + b(n) + c| }{ \sqrt{ {a}^{2} + {b}^{2} } } \\$

_________________________________ Step (2)

$y = - x + 4$

$x + y - 4 = 0$

So ;

$a = 1$

$b = 1$

$c = - 4$

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

A = ( 2 , - 1 )

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

$d = \frac{ | \: 1(2) + 1( - 1) - 4| }{ \sqrt{ {1}^{2} + {1}^{2} } } = \\$

$d = \frac{ |2 - 1 - 4| }{ \sqrt{1 + 1} } = \frac{ | - 3| }{ \sqrt{2} } \\$

$d = \frac{3}{ \sqrt{2} } \\$

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

5 0

3 years ago

Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the

Citrus2011 [14]

Answer:

h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.

Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.

Step-by-step explanation:

Regina: 6.5h

Phil: 3(2.5h+5)

When you plug in the number of hours, you get the weekly pay. In order to get the same weekly pay, set the equations equal to each other.

6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.

6.5h=7.5h+15

-h=15

h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.

Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.

7 0

3 years ago

Pls help this is factoring... 100 points

Natali [406]

Answer:

here's how you can factor it:)

Step-by-step explanation:

$x^{2}$ =6x+9

=(x+3)(x+3)

x= -3

8 0

3 years ago

Read 2 more answers