All categories

2 years ago

Can you slove this 6=2(y+2)

Mathematics

1 answer:

Lisa [10]2 years ago

6 0

Answer:

y=1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6=2(y+2)

6=(2)(y)+(2)(2)(Distribute)

6=2y+4

Step 2: Flip the equation.

2y+4=6

Step 3: Subtract 4 from both sides.

2y+4−4=6−4

2y=2

Step 4: Divide both sides by 2.

2y/2 2/2

You might be interested in

Complete the missing value in the solution to the equation.<br> (. , -6)

fiasKO [112]

Answer:

What is the equation?

I'll edit the answer once you tell me the equation

4 0

3 years ago

A hiker is hiking in a valley. The height of the valley is h(x,y)=4x2+y2 where x and y are the east-west and north-south distanc

Ainat [17]

Answer:

A. $\frac{\partial{h}}{\partial{t}}=0$

Step-by-step explanation:

A. The problems asked for 2 ways to solve it, expanding the equation with the substitution x(t)=2 cos(t) and y(t)=4 sin(t) to differentiate it . The other way is by chain rule.

Expanding and differentiating:

We start by substituting x(t)=2 cos(t) and y(t)=4 sin(t) in h(x,y)=4x2+y2:

$h(x,y)=4x^{2}+y^{2}= 4(2cos(t))^{2}+(4sin(t))^{2}\\h(x,y)=4(4cos^{2}(t))+(16sen^{2}(t))\\h(x,y)=16cos^{2}(t)+16sen^{2}(t)=16(sen^{2}(t)+cos^{2}(t))\\h(x,y)=16$

So, in the path that the hiker chose:

$\frac{\partial{h}}{\partial{t}}=0$

Chain rule:

We start differentiating h(x,y) using chain rule as follows:

$\frac{\partial{h}}{\partial{t}}= \frac{\partial{h}}{\partial{x}}\frac{\partial{x}}{\partial{t}}+\frac{\partial{h}}{\partial{y}}\frac{\partial{y}}{\partial{t}}$

Now, it´s easy to find all these derivatives:

$\frac{\partial{h}}{\partial{x}}=8x\\\frac{\partial{x}}{\partial{t}}=-2sin(t)\\\frac{\partial{h}}{\partial{y}}=2y\\\frac{\partial{y}}{\partial{t}}=4cos(t)$

Now we replace them in the chain rule, with the replacement x=2cos(t) and y=4sin(t) in the x,y that are left and we operate everything:

$\frac{\partial{h}}{\partial{t}}= 8x(-2sin(t))+2y(4cos(t)$

$\frac{\partial{h}}{\partial{t}}= 8(2cos(t))(-2sin(t))+2(4sin(t))(4cos(t)$

$\frac{\partial{h}}{\partial{t}}= -32cos(t)sin(t)+32sin(t)cos(t)$

$\frac{\partial{h}}{\partial{t}}= 0$

This will be our answer

6 0

3 years ago

I need help with 3) and 4)

ratelena [41]

3) Triangle = 180 degrees
180= 55+90+x
180=145+x
-145 -145
35=x
x=35 degrees

4) 1 liter = 1000 ml
Emilee drink more

6 0

3 years ago

What is 13% of 200?

masya89 [10]

The answer is 26 hope i helped:)

5 0

3 years ago

Read 2 more answers

Why does a negative number times a negative number equal a positive number?

Reil [10]

Let's say good is a positive number and bad is a negative number. Think of it as this, if something bad happens (-2) to a bad guy (-2), that's good. -2 times -2 equals 4. If something good happens to a good guy, that's good. If something bad happens to a good guy, that's bad. If something good happens to a bad guy, that's bad. I know that can be confusing but that has always helped me to remember.

6 0

3 years ago