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Alborosie
3 years ago
11

Express: 2+4√5/3√2-√3 in theform of P√2 + q√3wherep and qare rational number​

Mathematics
1 answer:
Lisa [10]3 years ago
4 0

Step-by-step explanation:

the qoustion not avelable

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gladu [14]

Answer:

b = 4

Step-by-step explanation:

5-1=5b-4b

4=b

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A factory sells backpacks for $40. 00 each. The cost to make 1 backpack is $10. 0. In addition to the costs of making backpacks,
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2 years ago
The coordinates G(7,3), H(9, 0), (5, -1) form what type of polygon?
Marrrta [24]

Answer:

Is an acute triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

G(7,3), H(9, 0), I(5, -1)

step 1

Find the distance GH

substitute in the formula

d=\sqrt{(0-3)^{2}+(9-7)^{2}}

d=\sqrt{(-3)^{2}+(2)^{2}}

GH=\sqrt{13}\ units

step 2

Find the distance IH

substitute in the formula

d=\sqrt{(0+1)^{2}+(9-5)^{2}}

d=\sqrt{(1)^{2}+(4)^{2}}

IH=\sqrt{17}\ units

step 3

Find the distance GI

substitute in the formula

d=\sqrt{(-1-3)^{2}+(5-7)^{2}}

d=\sqrt{(-4)^{2}+(-2)^{2}}

GI=\sqrt{20}\ units

step 4

Verify what type of triangle is the polygon

we know that

If applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2} ----> is a right triangle

c^{2}> a^{2}+b^{2} ----> is an obtuse triangle

c^{2}< a^{2}+b^{2} ----> is an acute triangle

where

c is the greater side

we have

c=\sqrt{20}\ units

a=\sqrt{17}\ units

b=\sqrt{13}\ units

substitute

c^{2}= (\sqrt{20})^{2}=20

a^{2}+b^{2}=(\sqrt{17})^{2}+(\sqrt{13})^{2}=30

therefore

c^{2}< a^{2}+b^{2}

Is an acute triangle

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4 years ago
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The displacement (in meters) of a particle moving in a straight line is given by the equation of motion
balu736 [363]

Answer:

Step-by-step explanation:

the displacement of the particle is given by

s=\frac{9}{t^{2}}

The rate of change of position gives the value of velocity.

So, v = ds/dt

Differentiate the position function with respect to time.

v = ds/dt=9(-2)t^{-3}=-18t^{-3}

Now, at t = a

v = -18/a³ m/s

At t = 1

v = - 18 m/s

At t = 2

v = - 18 / 8 = - 2.25 m/s

At t = 3

v = - 18 / 27 = 0.67 m/s

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3 years ago
Slope of y = 5x + 4 ??
Ymorist [56]

Answer:

the slope is m = 5

Step-by-step explanation:

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