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mrs_skeptik [129]
2 years ago
15

If A=(-1,-3) and B=(11,-8) what is the length of AB

Mathematics
2 answers:
Digiron [165]2 years ago
8 0
Distance formula = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-1,-3)...x1 = -1 and y1 = -3
(11,-8)...x2 = 11 and y2 = -8
now we sub
d = sqrt (11 - (-1)^2 + (-8 - (-3)^2
d = sqrt (12^2) + (-5^2)
d = sqrt (144 + 25)
d = sqrt 169
d = 13 <=====length of AB
scZoUnD [109]2 years ago
4 0

The answer is 13 units

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6x+10=2x+14

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find two consecutive odd integers such as 65 more than the lesser is four times the greater. The lesser consecutive odd integer
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The highest temperature recorded in Greensburg was 35C. Write the opposite temperature.
hichkok12 [17]

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a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l
GrogVix [38]

Answer:

\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}

Step-by-step explanation:

The equation of a line:

y=mx+b

We have

m=\dfrac{2}{3}

substitute:

y=\dfrac{2}{3}x+b

The formula of a distance between a point and a line:

General form of a line:

Ax+By+C=0

Point:

(x_0,\ y_0)

Distance:

d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}

Convert the equation:

y=\dfrac{2}{3}x+b     |<em>subtract y from both sides</em>

\dfrac{2}{3}x-y+b=0    |<em>multiply both sides by 3</em>

2x-3y+3b=0\to A=2,\ B=-3,\ C=3b

Coordinates of the point:

(0,\ 0)\to x_0=0,\ y_0=0

substitute:

d=4

4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}

4=\dfrac{|3b|}{\sqrt{13}}\qquad|    |<em>multiply both sides by \sqrt{13}</em>

4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}   |<em>divide both  sides by 3</em>

b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}

Finally:

y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}

4 0
2 years ago
Please help I don’t understand
mihalych1998 [28]

Answer:

the ASA similarity theorem

Step-by-step explanation:

As seen in the picture, the similarities are 2 sides and the angle between them

So the similarity is ASA, second answer choice

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3 years ago
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