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3 years ago

13

Use substitution to solve the system.

1 answer:

Andrews [41]3 years ago

3 0

Answer:

its ( 3,5) Equation form is: x = 3 , y = 5

Step-by-step explanation:

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Combining like terms with negative coefficients<br><br> −n+(−4)−(−4n)+6

Serjik [45]

Remember, if you add negative four, you're really subtracting four, or if you take away negative four, you're really adding four.

-n+(-4)-(-4n)+6
-n-4+4n+6 simplify
{-n+4n are like terms, so combine them. -n+4n is exactly the same as 4n-n, so flip them around if it helps. Just remember to keep the sign with the right number. Same thing with -4+6.}

Answer:

3n+2

8 0

3 years ago

Find the area of the following shape. you must show all work to receive credit.

Margaret [11]

Answer:

<h2>A = 57</h2>

Step-by-step explanation:

Use the Pick's theorem

Let P be a polygon in the plane whose vertices have integer coordinates. Then the area of P can be determined just by counting the lattice points on the interior and boundary of the polygon!

In fact, the area is given by

$A=i+\dfrac{b}{2}-1$

where <em>i</em> is the number interior lattice points, and<em> b</em> is the number of boundary lattice points.

Look at the picture.

$i=50,\ b=16$

Substitute:

$A=50+\dfrac{16}{2}-1=50+8-1=57$

3 0

3 years ago

2(10r-7)-2(1+10r)=-r+2r

DerKrebs [107]

Answer:

r = -16

Step-by-step explanation:

We will use "distributive" property and "adding like terms" concepts in solving for the unknown variable "r".

The distributive property is:

a(b+c) = ab + ac

So

2(10r-7) = 20r - 14

also

-2(1+10r) = -2 - 20r

So, our equation becomes:

$2(10r-7)-2(1+10r)=-r+2r\\20r-14-2-20r=-r+2r$

Now we add like terms and move variables (r) to one side and numbers to another. Like terms mean:

3r + 5r = (3+5)r = 8r

So, we have:

$20r-14-2-20r=-r+2r\\-16=r\\r=-16$

So,

the value of r is -16

6 0

3 years ago

6-3(2x-3)=5(6-x) -4x

kenny6666 [7]

Answer:

$x = 5$

Step-by-step explanation:

Given

$6-3(2x-3)=5(6-x) -4x$

Required

Solve

$6-3(2x-3)=5(6-x) -4x$

Open Brackets

$6-3*2x-3*-3=5*6-5*x -4x$

$6-6x+9=30-5x -4x$

Collect Like Terms

$-6x + 5x + 4x = 30 - 6 - 9$

$3x = 15$

Solve for x

$x = \frac{1}{3} * 15$

$x = 5$

7 0

3 years ago

Logarithmic differentiation for<br><br><img src="https://tex.z-dn.net/?f=y%20%3D%20x%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" tit

kirill115 [55]

Answer:

$\boxed {\frac{dy}{dx}= 2x}$

Step-by-step explanation:

<u>Solving</u> :

⇒ log y = log (x²)

⇒ log y = 2 log x

⇒ $\mathsf {\frac{1}{y} \frac{dy}{dx} = \frac{1}{x} \times 2}$

⇒ $\mathsf {\frac{dy}{dx}= 2x}$

5 0

2 years ago

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