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3 years ago

What is the slope of a line segment PQ with coordinates P(-2.5) and Q(-1,1)? show your work.

Mathematics

2 answers:

PolarNik [594]3 years ago

8 0

Answer:

-4

Step-by-step explanation:

Given

Line segment PQ with points P(-2.5) and Q(-1,1)
Slope = ?

Slope formula

m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 5)/(-1 - (-2)) = -4/1 = -4
Slope is -4

lisov135 [29]3 years ago

4 0

We can use the given points to solve.

Slope formula: y2-y1/x2-x1

(1-5)/-1-(-2))

-4/1

-4

Best of Luck!

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How many different 5-digit pins are there where none of the digits are repeated?

vazorg [7]

With no digit being repeated: 10*9*8*7*6= 30,240

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tino4ka555 [31]

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3 years ago

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Find the measure of the indicated angle. Round to the nearest degree.

slava [35]

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Adj = 14

Hyp = 26

∠X

so use

CAH

Cos(X) = 14/26

X = arcCos(14/26)

X = 57.421°

X = 57.4 ° ( rounded to nearest 10th )

∠X

Hyp = 46

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use SOH

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X = arcSin(12/46)

X = 15.121°

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∠X

Adj = 29

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X = arcTan( 29 /24)

X = 50.389

X = 50.4 ° ( rounded to nearest 10th )

∠X

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3 years ago

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Vera_Pavlovna [14]

Answer:

14 millimeters

Step-by-step explanation:

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3 years ago

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Find the standard form of the equation for the circle with the following properties.

nataly862011 [7]

Answer:

$(x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}$

Step-by-step explanation:

So, we know that the center of the circle is at (-6, -7/6).

To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.

Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).

So, find our distance by subtracting our x-values:

$d=r=0-(-7/6)$

Subtract:

$d=r=7/6$

So, our distance, which is also our radius, will be 7/6.

Now, we can use the standard form for a circle, which is:

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

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Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:

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We can confirm by graphing (using a calculator):

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