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Aleks04 [339]
3 years ago
8

Can someone please help solve these simultaneous equations?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

a) x = 2, y = 1

b) x = 9, y = -9

Step-by-step explanation:

a)     2^{x+y} = 8

   ⇒ 2^{x+y} = 2^{3}

   ⇒ x+y = 3

and

      3^{2x-y} = 27

  ⇒ 3^{2x-y} = 3^{3\\

  ⇒ 2x-y = 3

By solving the above two equations, we get;

x = 2 and y = 1

b)     3^{y+x} = 9^{y+x}

   ⇒ 3^{y+x} = 3^{2y+2x}

   ⇒ x=-y

and

       2^{x-y} = 8^{x-3}

   ⇒ 2^{x-y} = 2^{3x-9}

   ⇒ 2x + y=9

By solving the above two equations, we get;

x = 9 and y = -9

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nika2105 [10]
263.27 m^2

rectangle : 15 x 10 = 150 m^2
the half circle at the top has a diameter of 6m. therefore, it’s radius is 3m. if it is cut in half, the part removed from the triangle height is 3m. therefore, the height of the triangle is 35 -15 = 20; 20 - 3 = 17. the height of the triangle is 17. the triangle area formula is a = 1/2(bh).
a = 1/2 (10)(17)
a = 1/2 (170)
a = 85 m^2
the circle would be a = πr^2 but divided by 2 bc it’s a half circle
a = π(3)^2
a = π9
a = 28.27 m^2
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3 0
3 years ago
Which method will determine the volume of the prism with dimensions 2 times 2 1/4 times 4 shown below
Tems11 [23]
Was increased by 1 inch, the new measure of each side would be 4 inches.
5 0
3 years ago
The perimeter of a rectangle is 62 m. The length is four more than two times the width. What is the length?
Travka [436]
--------------------------------------------------
Define length and width
--------------------------------------------------
Let x be the width
width = x
Length = 2x + 4

--------------------------------------------------
Formula
--------------------------------------------------
Perimeter = 2(length + width)

--------------------------------------------------
Find Length and width
--------------------------------------------------
62 = 2(2x + 4 + x)
62 = 2(3x + 4)            <em> ← combine like terms  </em> 
62 = 6x + 8                 <em>← remove bracket </em>  
62 - 8 = 6x                  <em>← minus 8 on both sides </em>
6x = 54                      <em> ← swap sides  </em>
x = 54 ÷ 6                   <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>

--------------------------------------------------
Find Length and Width
--------------------------------------------------
Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m

--------------------------------------------------
Answer: Length = 22m
--------------------------------------------------
3 0
3 years ago
Read 2 more answers
Help me please, thank you.
Ivan
The correct answer is -2
4 0
3 years ago
How you know that the values of the digit in the numbers 1500,000 and 100,500 ate not the same
Sliva [168]

In this number 1500,000,

1 is at million place and 5 is at hundred thousand place

So, the value of 1 = 1 (1,000,000) = 1 million

And the value of 5  = 5 (100,000 ) = 500,000 = Five hundred thousand

In the second number 100,500

1 is at hundred thousand place and 5 is at hundred place

The value of 1 = 1 (100,000) = 100,000 = Hundred thousand

And the value of 5  = 5 (100 ) = 500 = Five hundred

Since the digits 1 and 5 both are at different places in both the numbers so 1,500,000 and 100,500 are not the same.

6 0
3 years ago
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