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kow [346]
2 years ago
14

Please help!!!!

Mathematics
1 answer:
Solnce55 [7]2 years ago
8 0

Answer:

c)  ((6-\sqrt{12} )(6+\sqrt{12} ) = 24

d)    ((3+\sqrt{8} )(3-\sqrt{8} ) = 1

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the binomial expression

          ((6-\sqrt{12} )(6+\sqrt{12} )

Multiply

        ( 36 + 6√12 -6√12 -(√12)²)

    =  ( 36 -12)

   =  24

c)  ((6-\sqrt{12} )(6+\sqrt{12} ) = 24

<u><em>Step(ii):-  </em></u>

Given that the binomial expression

          ((3+\sqrt{8} )(3-\sqrt{8} )

Multiply

 =  9 - 3√8 + 3√8 -(√8)²

=   9 - 8

= 1

d)    ((3+\sqrt{8} )(3-\sqrt{8} ) = 1

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A motorboat travels 220 kilometers in 4 hours going upstream. It travels 260 kilometers going downstream in the same amount of t
aliya0001 [1]

Answer:    The rate of boat is 60 kmh.

                  The rate of current is 5 kmh.

Step-by-step explanation:

Alright, lets get started.

Suppose the rate of boat in still water is : b kmh

Suppose the rate of current is  : c kmh

When the boat is going upstream, the relative speed will be : (b-c)

When the boat is going downstream, the relative speed will be: (b+c)

Boat travels 220 kilometers in 4 hours going upstream.

speed=\frac{distance}{time}

(b-c)=\frac{220}{4}   .................. equation (1)

It travels 260 kilometers going downstream in the same amount of time.

(b+c)=\frac{260}{4}  ................... equation (2)

Adding equation 1 and 2

b-c+b+c=\frac{220}{4}+\frac{260}{4}

2b=\frac{480}{4}

2b=120

b=60

Plugging the value of b as 60 in equation 2

60+c=\frac{260}{4}

60+c=65

c=5

Hence the rate of boat is 60 kmh.

Hence the rate of current is 5 kmh.

Hope it will help :)

6 0
3 years ago
Midpoint of 4 – 3i and –2 + 7i please help!!!!!
GenaCL600 [577]
Hello : 
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