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4 years ago

What is the value of z?

Mathematics

2 answers:

mario62 [17]4 years ago

8 0

Hi there!

Your question is mistaken. You must have meant to ask for the value of x.

By definition of a parallelogram, we know that there must be two pairs of parallel sides. We also know that a parallelogram will follow this form:

See attachment.

Therefore, we know that $6x-15=x+15$ . Let's solve:

$6x-15=x+15$

$5x-15=15$ Subtract x from both sides.

$5x=30$ Add 15 to both sides. Now the variable is isolated.

$x=6$ Divide both sides by 5.

So as you can see, x = 6. If you tried to solve this and got a negative solution, remember that lengths and distances can never be negative (e.g. I can't go -5 miles; a square can't have a length of -3 feet, etc.).

Hope this helps! :^)

BabaBlast [244]4 years ago

6 0

Answer:

x=6

Step-by-step explanation:since the opposite triangles are congruent, they are equal. so 6x-15=x+15. Then i cancelled the negative 15 on the the left by adding 15. So i was left with 6x=x+30. Then you subtract the x on the right from the 6 x and you are left with 5x=30. 30 divided by 5 is 6. X=6

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Find an equation for the plane tangent to the surface given by z = x^2 + y^4 + e^xy

aivan3 [116]

Answer:

z = 2x + y - 2

Step-by-step explanation:

To find an equation for a plane tangent to a surface, we need two things:

1) A surface Z = f(x,y)

2) A point P(x0,y0,z0)

The equation for the plane tangent to the surface Z at the point P is given by the equation a)

a) Zx(x0,y0,z0)*(x-x0) + Zy(x0,y0,z0)*(y-y0) -(z-z0) = 0

Where Zx is the partial derivative of Z in relation to x and Zy is the partial derivative of Z in relation to y

In your problem, we have that Z = x^2 + y^4 + e^(xy)

So Zx(x,y,z) = 2x + ye^(xy)

We have that (x0,y0,z0) = (1,0,2), so Zx(1,0,2) = 2

Zy(x,y,z) = 4y^3 + xe^(xy)

Zy(1,0,2) = 1

According to equation a), we have

Zx(1,0,2)*(x-2) + Zy(1,0,2)*(y-0) -(z-2) = 0

2*(x-2) + y - z + 2 = 0

z = 2x + y - 2 is the equation for the plane tangent to this surface at this point.

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4 years ago

There were m boys and n girls in a parade . Each person carried 2 balloons which of these experssions represemt the total number

andreyandreev [35.5K]

Answer:

2(m + n)

Step-by-step explanation:

Number of boys = m

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3 years ago

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Ahat [919]

That's not correct. The terms 2a and 3b are not like terms, so we cannot combine them to get 5ab. We simply leave it as 2a+3b.

If you had 2a+3a, then it would simplify to 5a

Similarly, 2b+3b = 5b

Or you could have 2ab+3ab = 5ab

The key is that the variable portions must match up to be able to add them.

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4 years ago

Read 2 more answers

an office supply company sells two types of printers. they charge $95 for one of the printers and $125 for the other. if the com

Ivenika [448]

Answer:

22 of the 95$ ones and 10 of the 125

Step-by-step explanation:

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3 years ago

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3 years ago