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3 years ago

Please help! With steps included :)

Mathematics

1 answer:

Len [333]3 years ago

8 0

Answer:

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Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −3, 7) and

tia_tia [17]

Answer:

$\vec{r}(t)=\left$

In parametric form:

$x=-1, y=\displaystyle\frac{1}{2}, z=4+t$

Step-by-step explanation:

We first find the mid point:

$\displaystyle\left(\frac{0+(-2)}{2},\frac{-3+4}{2},\frac{7+1}{2}\right)=\left(-1,\frac{1}{2},4\right)$

Then, a vector parallel to the z-axis is:

$\vec{v}=\left< 0,0,1 \right>$

Then remember the equation of a line passing through point $(x_o,y_o,z_o)$ and parallel to the vector $\vec{v}=\left$ is:

$\vec{r}(t)=\left+t\left$

So, in this problem we get:

$\vec{r}(t)=\left+t\left$

After combining the two vectors:

$\vec{r}(t)=\left$

In parametric form:

$x=-1, y=\displaystyle\frac{1}{2}, z=4+t$

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3 years ago

Solve the following proportion problem for x: 14/3x=20/x-5

Butoxors [25]

14 20

---- = ----- cross multiply

3x x-5

14(x-5) = 3x (20)

14x - 70 = 60x

-14x -14x

-70 = 36x

/36 /36

-70/36 = x

-35/18 = x

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3 years ago

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12 m/min equals how many cm/s?

victus00 [196]

Equals meter minute 20 cm/s

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3 years ago

This is quation number 1

SCORPION-xisa [38]

Tamer earns <em>0.5 AED</em> per newspaper, since the slope of this line is 0.5/1

Question for ya.... what is AED? American Express Dollars?

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3 years ago

Your fitness tracker overestimates the number of steps you take by 5%. The trackers indicates that you took 7350 steps today. Wr

ivolga24 [154]

Answer:

7,000

Step-by-step explanation:

The number of actual steps is x.

x + x(.05) = 7350 This is actual steps plus the extra 5% equals the number shown on the tracker.

Pull out x

x (1+.05) = 7350

x (1.05) = 7350 Divide by 1.05

(x (1.05))/1.05 = 7350/1.05

x = 7,000

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3 years ago

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