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coldgirl [10]
3 years ago
11

Find the slope of the line contain the given pair of points (-6,4) and (1,0)

Mathematics
2 answers:
EastWind [94]3 years ago
8 0
(-6,4) \\
x_1=-6 \\
y_1=4 \\ \\
(1,0) \\
x_2=1 \\
y_2=0 \\ \\
\hbox{the slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-4}{1-(-6)}=\frac{-4}{1+6}=-\frac{4}{7}

The slope is -4/7.
gulaghasi [49]3 years ago
8 0
m =  \frac{ y_{2} -  y_{1}}{ x_{2} -  x_{1}}
 








m =  \frac{0 - 4}{1 - (-6)}
m =  \frac{0 - 4}{1 + 6}
m =  \frac{-4}{7}
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6 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu.
serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

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

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

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6 0
3 years ago
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An when n=5, the height is

a_5=8\cdot (\frac{1}{2})^{5-1}=8\cdot (\frac{1}{2})^4=\frac{1}{2} =0.5

the anwers is 0.5 inches
4 0
3 years ago
The price per night for a hotel room is different at three different hotels.
ddd [48]

Answer:

B

Step-by-step explanation:

4 0
4 years ago
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