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3 years ago

Find the slope of the line

Mathematics

2 answers:

lakkis [162]3 years ago

8 0

Answer:

Step-by-step explanation:

Rise / Run

= 4/2

= 2

antiseptic1488 [7]3 years ago

8 0

Answer:

Picture is corrupt, DM me.

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What’s the square root of 9,801?

Butoxors [25]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is $6.00 and a small lem

yuradex [85]

Answer:

Step-by-step explanation:

Given data

We are given that

Large lemonade= $6

Small lemonade= $4

Total amount = 6+4= $10

He keeps 50% of the total

= 50/100*10

=0.5*10

= $5

Hence he will keep $5

8 0

2 years ago

Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg

n200080 [17]

$\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k$

is conservative if there is a scalar function $f(x,y,z)$ such that $\nabla f=\vec F$ . This would require

$\dfrac{\partial f}{\partial x}=y$

$\dfrac{\partial f}{\partial y}=x$

$\dfrac{\partial f}{\partial z}=3$

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

$f(x,y,z)=xy+g(y,z)$

$\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$f(x,y,z)=xy+h(z)$

$\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C$

$f(x,y,z)=xy+3z+C$

so $\vec F$ is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

$\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r$

$=f(5,7,-2)-f(1,2,3)=\boxed{18}$

8 0

3 years ago

How do u do this please help!!

aev [14]

Answer:

Step-by-step explanation:

1 gallon = 4 quarts

5 gallons 2 quarts 1 pint = 4 gallons 6 quarts 1 pint

(5 gallons 2 quarts 1 pint) - (1 gallon 3 quarts)

= (4 gallons 6 quarts 1 pint) - (1 gallon 3 quarts)

= 3 gallons 3 quarts 1 pint

7 0

3 years ago

A little stuck on this problem help

KatRina [158]

Answer:

∠N = 31

Step-by-step explanation:

MN = MP

∠N = ∠P = x+3

∠M + ∠N + ∠P = 180

4x+6 + x+3 + x+3 = 6x + 12 = 180

x = 28

∠N = 28 + 3 = 31

5 0

3 years ago