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DerKrebs [107]
3 years ago
13

Solve the system of equations algebraically: x^2 +y^2 =25, y=x^2 +3

Mathematics
1 answer:
aalyn [17]3 years ago
8 0

Answer:

{ \tt{ {x}^{2} +  {y}^{2}  = 25 -  -  -  \{eqn(a) \}}} \\ { \tt{y =  {x}^{2} + 3 -  -  -  \{eqn(b) \} }}

» substitute y in eqn(a) with y in eqn(b)

{ \tt{ {x}^{2} + ( {x}^{2}  + 3) {}^{2}   = 25}}  \\ { \tt{ {x}^{2}  + ( {x}^{2}  + 6x + 9) = 25}} \\ { \tt{2 {x}^{2} + 6x + 9 = 25 }} \\ { \tt{2 {x}^{2}  + 6x - 16 = 0}} \\ { \tt{x = 1.7 \:  \: and \:  \:  - 4.7}}

» Find y in eqn(b)

{ \tt{y =  {x}^{2} + 3 }} \\ { \tt{y = 5.89 \:  \: and \:  \: 25.09}}

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The height of the parallelogram is 6.4 m.

<h3>What is a parallelogram?</h3>

A parallelogram is a quadrilateral. Let us recall that a quadrilateral is a four sided figure. It is also important to recall that the opposite sides of a parallelogram are equal.

Let us now try to find the height of the parallelogram;

Given that;

/DE/ = /AC/

10 = /BC/ + /AB/

/AB/ = 10 -  /BC/

/AB/ = 10 - 6

/AB/ = 4 cm

Then;

/AE/= /CD/ = 5 cm

Using the Pythagoras theorem;

/EB/^2 = /AE/^2 + /AB/^2

/EB/ = √/AE/^2 + /AB/^2

/EB/ = √(5)^2 + (4)^2

/EB/ = √ 25 + 16

/EB/ = 6.4 m

Learn more about parallelogram:brainly.com/question/1563728

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8 0
2 years ago
Help brainliest plzzz
erastovalidia [21]
The answer would be 1,300 I think I don’t know tbh
3 0
3 years ago
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Choose all that correctly graph the exponential function.
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Answer:

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7 0
2 years ago
The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup f
Helga [31]

The cost of each t-shirt is <u>$7</u>, using the equation formed from the given conditions.

In the question, we are given that the drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of $40.

We are aske to find the cost of each t-shirt if there are 21 students in the club and the t-shirt order costs a total of $187.

We assume the cost of one t-shirt to be $x.

Thus, the cost of printing 21 t-shirts = $21x.

The setup fee is given to be $40.

Thus, the total cost of printing 21 t-shirts for the dram club = $21x + 40.

But, we are given that the total cost is $187.

Thus, we get an equation,

21x + 40 = 187.

This equation can be solved as follows:

21x + 40 = 187,

or, 21x = 187 - 40,

or, 21x = 147,

or, x = 147/21,

or, x = 7.

Thus, the cost of each t-shirt is <u>$7</u>, using the equation formed from the given conditions.

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7 0
2 years ago
Can someone help explain this to me? I’d appreciate it a lot.
gregori [183]
When you put + - and x in the spaces, no matter the order, the answer will be a multiple of 4. Therefore you have to use ÷ to get 2 for the answer. The answer is 4÷4+4÷4=2.
7 0
3 years ago
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