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2 years ago

Find the area of a polygon with the given vertices J(-3,4) K(4,4) L(3,-3)

Mathematics

1 answer:

DiKsa [7]2 years ago

3 0

Answer:

A = 24.5 square units

Step-by-step explanation:

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How to solve -2(x+3)=8

Shtirlitz [24]

-2(x + 3) = 8

Multiply -2 with x and 3

-2x -6 = 8

Now add 6 to both sides

-2x -6 = 8
+6 +8

-2x = 16

Lastly divide -2 from both sides to find x

-2x = 16
—— —-
-2x -2x

X = -8

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2 years ago

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A particle moves so that r(t) = ati + b sin atj. Show that the magnitude of the acceleration of the particle is proportional to

ValentinkaMS [17]

Answer:

Step-by-step explanation:

Given

Position of particle is $r(t)=at\hat{i}+b\sin (at)\hat{j}$

i.e. distance from x axis is $b\sin (at)---1$

Distance from y axis at

velocity is given by $v=\frac{\mathrm{d} r}{\mathrm{d} t}$

$v=a\hat{i}+ba\cos (at)\hat{j}$

Similarly acceleration is given by

$a=\frac{\mathrm{d} v}{\mathrm{d} t}$

$a=0\hat{i}-a^2b\sin (at)\hat{j}$

Magnitude of acceleration is $=\sqrt{(-a^2b\sin (at))^2}$

$=a^2b\sin (at)----2$

From 1 and 2 we can see that

Magnitude of acceleration is proportional to distance from x axis

$a\propto distance\ from\ x-axis$

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2 years ago

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Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.

Elina [12.6K]

A sequence is a set of numbers constant, it is all regular -
The outputs have a pattern,

Hope that helps, I can't do much without seeing the set of numbers

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3 years ago

Divide. Express each answer as a decimal.

dem82 [27]

1: 2.5 2:0.4 3:12.5 4:0.08 hope this helps

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2 years ago

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Write a linear equation in point slope form for the line that goes through (-1, 1) and (1, -3)

exis [7]

Answer:

y - 1 = -2(x + 1).

Step-by-step explanation:

The slope = (-3-1)/(1 - -1)

= -4 / 2

= -2.

In point slope form:

y - y1 = m(x - x1)

Using m = -2 and the point (-1, 1):

y - 1 = -2(x + 1).

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2 years ago

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