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Inessa [10]
3 years ago
11

Please help for solve this question

Mathematics
1 answer:
Schach [20]3 years ago
5 0
You set up the problem correctly, just keep going.

Expand out your expression:

2x(3x-9) + 4x(x+13)
= 6x^2 -18x + 4x^2 + 52x 
= 10x^2 +34x

Remember that the above expression is the area, so it is equal to 24.

10x^2 + 34x = 24
10x^2 + 34x - 24 = 0     (divide by 2)
5x^2 + 17x - 12 = 0

Done.
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How do I solve 2m + n = 2 and 3m - 2n = 3 using substitution?
Leona [35]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Solve 2m + n = 2 and 3m - 2n = 3 using substitution.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

We can use the substitution method to solve linear equations of this form. Let's solve for m & n.

\left. \begin{array}  { l  }  { 2 m + n = 2 } \\ { 3 m - 2 n = 3 } \end{array} \right.

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

2m+n=2, \: 3m-2n=3

Choose one of the equations and solve it for m by isolating m on the left-hand side of the equal sign.

2m+n=2

Subtract n from both sides of the equation.

2m=-n+2

Divide both sides by 2.

m=\frac{1}{2}\left(-n+2\right)  \\

Multiply 1/2 times -n+2.

m=-\frac{1}{2}n+1  \\

Substitute -\frac{n}{2}+1\\ for m in the other equation, 3m-2n=3.

3\left(-\frac{1}{2}n+1\right)-2n=3  \\

Multiply 3 times -\frac{n}{2}+1\\.

-\frac{3}{2}n+3-2n=3  \\

Add -\frac{3n}{2}\\ to -2n.

-\frac{7}{2}n+3=3  \\

Subtract 3 from both sides of the equation.

-\frac{7}{2}n=0  \\

Divide both sides of the equation by -\frac{7}{2}\\, which is the same as multiplying both sides by the reciprocal of the fraction.

\large \underline{\underline{ \bf \: n=0 }}

Substitute 0 for n in m=-\frac{1}{2}n+1\\. Because the resulting equation contains only one variable, you can solve for m directly.

\large \underline{ \underline{\bf \: m=1 }}

The system is now solved.

\huge \boxed{ \boxed{ \bf \: m=1, \: n=0 }}

4 0
3 years ago
Solve each system of equations <br> X^2+y^2+18x+29=0<br> X+y=1
tatyana61 [14]

Answer:

two solutions : (-3;4)  and (-5;6)

Step-by-step explanation:

hello :

X²+y²+18x+29=0    ..(1)

X+y=1 ...(2)

by (2) : y = 1 - x

put this value in (1) : x² +(1-x)² +18x+29 = 0

x² +1 +x² -2x+18x +29 =0

2x²+16x +30 = 0

x²+8x+15 =0

delta = b²-4ac     a=1   b=8   c = 15

delta = (8)²-4(1)(15)=64-60 =4 = 2²

X1=(-8+2)/2 = - 3

X2=(-8-2)/2 = - 5

case 1 : x = -3    y = 1 - (-3) = 4

case 2 : x = -5    y = 1 - (-5) = 6

8 0
3 years ago
( BRAINLIEST AND THANKS! )
Kamila [148]

Answer:

Step-by-step explanation:

X Y

--------

1 0.50

2 0.25

3 0.13

4 0.06

5 0.03

3 0
2 years ago
What is the lest common denominator of 1/12 and 5/8
Sonja [21]
The LCM is 24.
1/12=2/24
5/8=15/24
6 0
3 years ago
What is 14145 divided by 23?
Kobotan [32]

Answer:

615

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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