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max2010maxim [7]
3 years ago
12

Solve the system of equations by substitution 5x +y = 36 y = 4x

Mathematics
2 answers:
natali 33 [55]3 years ago
7 0

Step-by-step explanation:

The answer is mentioned above.

Eduardwww [97]3 years ago
3 0
To start off your going to plug in 4x into the equation. Which will turn into 5x + 4x = 36. You will add 5 and 4 since they both have an x in it. Which would leave you to 9x = 36. Only thing left to do is divide 36 by 9. Which would equal to 4 and that will be your answer. X=4
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Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)
viktelen [127]
\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}

The first line segment can be parameterized by \mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle with 0\le t\le1. Denote this first segment by C_1. Then

\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt
=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt
=108

The second line segment (C_2) can be described by \mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle, again with 0\le t\le1. Then

\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt
=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt
=-\dfrac{229}3

Finally,

\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3
5 0
3 years ago
Use the box method to distribute and simplify (-5x-2)(-2x^2+6x).
Mkey [24]

Answer:

10x^{3} - 26x^{2} - 12x

Step-by-step explanation:

1)  Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.

10x^{3} - 30x^{2} + 4x^{2} -12x

2)  Collect like terms.

10x^{3} + (-30x^{2} +4x^{2} )-12x

3) Simplify.

10x^{3} - 26x^{2} -12x

Therefor, the answer is, 10x^3 - 26x^2 - 12x.

3 0
2 years ago
I would like some assistance pls​
nasty-shy [4]

Answer:

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7 0
3 years ago
An equation is shown 120÷ __ =1.20
devlian [24]

an equation is shown 120÷ __ =1.20

120 / x = 1.2

120/100 = 1.2

check:

1.2* 100 = 120

3 0
3 years ago
Read 2 more answers
furniture maker used 1/2 of a can of paint to paint some chairs. She used 1/6 of a can of paint for each chair. How many chairs
dezoksy [38]

Answer:

3 chairs

Step-by-step explanation:

1/2 is the same as 3/6

There are three 1/6 in 3/6.

(3/6) ÷ (1/6) = 3

6 0
3 years ago
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