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Kisachek [45]
2 years ago
6

Solve the system of equations by substitution.

Mathematics
1 answer:
german2 years ago
5 0

Answer:A

Step-by-step explanation: Hope this helped. Let me know if it did.

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Please choose the correct rhyme scheme for the following words (Michelson): fire- lyre- spread- head- me- free *
Tcecarenko [31]

Answer:

the answer is c

Step-by-step explanation:

1=fire

1=lyre

2=spread

2=head

3=me

3=free

8 0
3 years ago
The sum of two numbers is 12, their product is 96. Compute these two numbers. Explain.​
Anni [7]

Answer:

The numbers are

6+2\sqrt{15}i   and  6-2\sqrt{15}i

Step-by-step explanation:

Let

x and y -----> the numbers

we know that

x+y=12 -----> y=12-x ------> equation A

xy=96 ----> equation B

substitute equation A in equation B and solve for x

x(12-x)=96\\12x-x^{2}=96\\x^{2} -12x+96=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} -12x+96=0  

so

a=1\\b=-12\\c=96

substitute

x=\frac{-(-12)(+/-)\sqrt{-12^{2}-4(1)(96)}} {2(1)}

x=\frac{12(+/-)\sqrt{-240}} {2}

Remember that

i^{2}=\sqrt{-1}

x=\frac{12(+/-)\sqrt{240}i} {2}

x=\frac{12(+/-)4\sqrt{15}i} {2}

Simplify

x=6(+/-)2\sqrt{15}i

x1=6+2\sqrt{15}i

x2=6-2\sqrt{15}i

we have two solutions

<u><em>Find the value of y for the first solution</em></u>

For x1=6+2\sqrt{15}i

y=12-x

substitute

y1=12-(6+2\sqrt{15}i)

y1=6-2\sqrt{15}i

<u><em>Find the value of y for the second solution</em></u>

For x2=6-2\sqrt{15}i

y2=12-x

substitute

y2=12-(6-2\sqrt{15}i)

y2=6+2\sqrt{15}i

therefore

The numbers are

6+2\sqrt{15}i   and  6-2\sqrt{15}i

8 0
4 years ago
Julio paid $9 for a pizza. He now has $26.
Anni [7]

Answer:

35

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which of the following are algebraic equations?
Y_Kistochka [10]

Answer:

The equation (i) is the only algebraic equations.

Step-by-step explanation:

From the given examples of equations the equation (i) is the only algebraic equations.

(i) 3.1x - 11.2 = 2.5x + 2.3.

This is an example of algebraic equation with single variable x.

(ii) ???? + ???? = 2????

This could be an equation with variable ???? but both the sides being equal they cancel each other and no equation remains.

(iii) 1/2 +1/2 = 2/4

This is not an algebraic equation since there is no variable. (Answer)

6 0
3 years ago
Please can u answer this fast and correct Will mark brainiest
dexar [7]

Answer:

x=7,y=8

Step-by-step explanation:

4+6+7+8+10= 35/5=7 (MEAN)

4 6 7 8 10: the median is 7 (value in the middle, in this case, 3rd value)

7 0
4 years ago
Read 2 more answers
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