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Olegator [25]
3 years ago
5

Answer the following questions (a) Given point P(3, −2, 7) in R 3 , find the distance of point P from (i) x−axis Answer: (ii) y−

axis Answer: (iii) z−axis Answer:
Mathematics
1 answer:
hoa [83]3 years ago
4 0

Answer:

(i) Distance of point P from x-axis is 3 units.

(ii) Distance of point P from y-axis is 2 units.

(iii) Distance of point P from z-axis is 7 units.

Step-by-step explanation:

Given points is P(3, −2, 7).

Coordinate plane is a plane containing both x-axis and y-axis.

x-axis is the horizontal line and y-axis is the vertical line.

The axes divide the coordinate plane divide into four quadrants.

The axes are perpendicular to each other.

To find:distance of point P from (i) x−axis, (ii) y−axis,  (iii) z−axis

Solution:

(i) Distance of point P from x-axis is 3 units.

(ii) Distance of point P from y-axis is 2 units.

(iii) Distance of point P from z-axis is 7 units.

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zepelin [54]

Answer:

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of y=mx+b

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: Slope=\frac{y_2-y_1}{x_2-x_1}

From the table we have: x_1=3, y_1=-5, x_2=7, y_2=-2

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}

So, we get slope m=\frac{3}{4}

Now, finding y-intercept

Using the slope m=\frac{3}{4} and point (3,-5) we can find y-intercept

y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}

The y-intercept is b=\frac{-29}{4}

So, the equation having slope m=\frac{3}{4} and y-intercept b=\frac{-29}{4} will be:

y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

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​ Commemorative coins come in packs of 15, while coin holders come in packs of 25. What are the least numbers of packs you shoul
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Answer:

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Step-by-step explanation:

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What is 7/10 divided by 12 simplified
defon

Answer:

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Step-by-step explanation:

7/10 ÷ 12

Copy dot flip

7/10 * 1/12

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Step-by-step explanation:

Given g'(x) = g^{-2}, x> 0\ g(1) = 0 \ and \ g(2) = 0

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Step-by-step explanation:

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