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3 years ago

The slope of a line is the same the entire length of the line

Mathematics

1 answer:

Vinil7 [7]3 years ago

5 0

Answer:

FALSE

Step-by-step explanation:

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two trucks leave a factory at the same time. one travels east 60 miles per hour, and the other travels west at the 39 miles per

Dahasolnce [82]

Answer:

Both trucks are 150 miles after 1.516 hours

Solution:

Given, Two trucks leave a factory at the same time.

one travels east 60 miles per hour, and the other travels west at the 39 miles per hour.

We have to find In how many hours will they be 150 miles apart?

Let the time after which they will be 150 miles apart be t.

Now, we know that, distance = speed x time. 

For 1st truck ⇒ distance from factory = 60 x t

For 2nd truck ⇒ distance from factory = 39 x t

Here, t is same for both trucks as time is seen from common point of view.

Now, according to the given information,

distance of 1st truck from factory + distance of 2nd truck from factory = 150 miles.

60t + 39t = 150

99t = 150

t = 1.516 approximately.

Hence, both trucks are 150 miles after 1.516 hours.

3 0

4 years ago

Read 2 more answers

(X^1/8 y^1/4 z^1/2)^8

adell [148]

(x^1/8 y^1/4 z^1/2)^8
(8 √x 4 √y √z^8)
(8 √x 8 √y^2 8 √z^4)^8
8 √xy^2z^4^8
Solution: xy^2 z^4

6 0

3 years ago

Find the flux of F = x^3 i + y^3 j + z^3k through the closed surface bounding the solid region x^2 + y^2 ≤ 4, 0 ≤ z ≤ 4

givi [52]

Use the divergence theorem. Let $R$ be the cylindrical region, then

$\displaystyle\iint_{\partial R}\mathbf F\cdot\mathbf n\,\mathrm dS=\iiint_R\nabla\cdot\mathbf F\,\mathrm dV$

(where $\mathbf n$ denotes the unit normal vector to $\partial R$ , but we don't need to worry about it now)

We have

$\mathrm{div }\mathbf F=(\nabla\cdot\mathbf F)(x,y,z)=\dfrac{\partial\mathbf F}{\partial x}+\dfrac{\partial\mathbf F}{\partial y}+\dfrac{\partial\mathbf F}{\partial z}$
$\nabla\cdot\mathbf F=3x^2+3y^2+3z^2$

For the solid $R$ with boundary $\partial R$ , we can set up the following volume integral in cylindrical coordinates for ease:

$\displaystyle3\iiint_R(x^2+y^2+z^2)\,\mathrm dV=3\int_{z=0}^{z=4}\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=2}(r^2+z^2)r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$
$=\displaystyle6\pi\int_{z=0}^{z=4}\int_{r=0}^{r=2}(r^3+rz^2)\,\mathrm dr\,\mathrm dz$
$=\displaystyle12\pi\int_{z=0}^{z=4}(2+z^2)\,\mathrm dz$
$=352\pi$

5 0

3 years ago

Addition property of equality: if angle J equals 30 the angle j plus angle k equals?

gulaghasi [49]

The angle j plus angle k would equal
30j+k

5 0

3 years ago

[ Please help ] The graph below plots a function f(x).

Luden [163]

25 (units of distance/units of time)

The first two seconds are determined between points (0,50) and (2,100). Given these points, finding the slope between them gives you the average rate of change:

$\frac{Δy}{Δx} = \frac{(100 - 50)}{(2 - 0)} = \frac{50}{2} = 25$

4 0

4 years ago

The slope of a line is the same the entire length of the line ​

The slope of a line is the same the entire length of the line