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VikaD [51]
4 years ago
13

What are the solutions of the following system?

Mathematics
1 answer:
Andreyy894 years ago
3 0
X^2 + y^2 = 25
2x + y = -5.....y = -2x - 5

x^2 + (-2x - 5)^2 = 25
x^2 + (-2x - 5)(-2x - 5) = 25
x^2 + (4x^2 + 20x + 25) = 25
5x^2 + 20x + 25 = 25
5x^2 + 20x = 0
5x(x + 4) = 0

5x = 0         2(0) + y = -5
x = 0            y = -5

x + 4 = 0      2(-4) + y = -5
x = -4           -8 + y = -5
                     y = 3

solutions are : x = 0, y = -5.....and x = -4, y = 3

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the Hamilton eighth-grader took a trip to Myrtle beach. They drove a speed of 60 miles per hour. The trip was 570 miles. Write a
Simora [160]

Answer:

9.5

Step-by-step explanation:

60h = 570

Divide 60 by both sides

h = 9.5

3 0
3 years ago
On a recent day 8 euros were worth $9 and 24 euros were worth $27 write an equation of the form y equals kx to show the relation
attashe74 [19]

Answer:

y=8x/9

Step-by-step explanation:

Given that 8 euros were worth $9 and

24 euros were worth $27.

Let y represent the number of Euros and x no of dollars.

Given that the relation is of the form y = kx+C

When x=0 y =0,

i.e. C =0

Hence equation is of the form y = kx

Substitute x=8 and y =9

We get 9 = 8k

Or k =8/9

Hence relation is y=8x/9 is the relation between x and y.

WE can verify this for 27 dollars worth 24 euros.

24 =8/9(27) is true.

Thus equation is verified.


6 0
4 years ago
Becky has a board that is 2 and 3/4 feet long. She needs to cut the board into 11 pieces of equal length. How long should each p
zzz [600]

Answer:

1/4 feet long should each pieces be.

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1 such as 3 miles per second or 4 km per hour

As per the statement: Becky has a board that is 2 and 3/4 feet long.

⇒ Length of a board = 2\frac{3}{4} =\frac{11}{4} feet

Also, she need to cut the board into 11 pieces.

by unit rate definition:

\text{Unit rate per pieces} = \frac{\frac{11}{4} }{11}

or

\text{Unit rate per pieces} = \frac{11}{4} \times \frac{1}{11} = \frac{1}{4}

Therefore, 1/4 feet long should each pieces be.




4 0
3 years ago
There is no solution to the equation cscx=0.<br> True or False
Svetradugi [14.3K]

Answer:

True

Step-by-step explanation:

First, we need to recognize that

csc(x)=\frac{1}{sin(x)}

Now, we can try to solve

\frac{1}{sin(x)} =0

Multiply each side by sin(x)

1=0*sin(x)\\\\1=0

As we end up with an answer that cannot be true, we know that there is no solution.

Another method to solve this would be graphing the function y=csc(x)

When graphed, it can be seen that there is an asymptote at x=0 meaning that there is no value for x=0.

4 0
3 years ago
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P = PRINCIPAL 
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n = number of periods
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4 years ago
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