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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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ExtremeBDS [4]

Answer:

f(x) = ( x + 1 ) ( x - 8 )

Step-by-step explanation:

We have to find a polynomial equation that has double zeros at x = - 1 and at x = 8

Therefore, the polynomial has only two roots and it will be a quadratic polynomial and it has factors ( x + 1 ) and ( x - 8 )

So, the polynomial is y = f(x) = ( x + 1 ) ( x - 8 ) (Answer)

5 0
3 years ago
N employee earns $175 for 15 hours work. assuming he is paid by the hour, how much will this employee earn in 18 hours?
alekssr [168]
First you would divide 175 by 15 and get 11.6666666667, you would then multiply that by 18 amd get 210.0000000001
7 0
3 years ago
The distance between (2, 3) and (1,7) is:
devlian [24]

Answer:

\sqrt{17}\: units

Step-by-step explanation:

d =  \sqrt{ {(2 - 1)}^{2} + {(3 - 7)}^{2}   }   \\  \\ = \sqrt{ {(1)}^{2} + {( - 4)}^{2}   }  \\  \\ = \sqrt{ 1 + 16   }  \\  \\  d=  \sqrt{17}  \\

4 0
3 years ago
Read 2 more answers
Prove that angle W is congruent to angle Y with a two column proof.
iren2701 [21]

Statement 1: WXYZ is a kite

Reason 1: Given

Statement 2: WX = XY and WZ = YZ

Reason 2: Definition of a kite

Statement 3: XZ = XZ

Reason 3: Reflexive property

Statement 4: Triangle WXZ = Triangle YXZ

Reason 4: SSS Congruence

Statement 5: Angle W = Angle Y

Reason 5: CPCTC

-------------------------------------------------------------------------

Extra notes:

* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.

* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.

* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y

* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".

* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"

4 0
3 years ago
1. Which equations represents a quadratic function? A. y = 3 + 2x2
stepladder [879]
B is the answer dude
3 0
3 years ago
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