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Gwar [14]
3 years ago
13

The vertices A B C of a triangle are (2,-1,-3) (4,2,3) and (6,3,4) respectively. Show that vector AB=(2,3,6) and AC=9.​

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Try this option:

1) vector AB=(2;3;6).

(X_B-X_A;Y_B-Y_A;Z_B-Z_A); \ => (4-2;2+1;3+3); \ =>(2;3;6).

2) |AC|=9.

|AC|=\sqrt{(X_C-X_A)^2+(Y_C-Y_A)^2+(Z_C-Z_A)^2}=\sqrt{(6-2)^2+(3+1)^2+(4+3)^2}=\sqrt{81}=9.

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Vikki [24]
Your answer would be A. -15/2 < x < 0
6 0
3 years ago
Please Hurry) What is the length of side AC of the triangle? □ units. ​
NARA [144]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

\boxed{\mathrm{AC = 25 \:\: units ~}}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

As we can see in the given figure, Angles A and B are equal. therefore their opposite sides will be equal to one another, that is ~

  • AB = BC

now, let's plug the values of AB and BC in terms of x and equate them to find the value of x ~

  • 5x + 5 = 7x - 1

  • 7x - 5x  = 5 + 1

  • 2x = 6

  • x = 6 \div 2

  • x = 3 \:  \: units

now , let's find the measure of side AC ~

  • AC = 6x + 7

that is ~

  • 6(3) + 7

  • 18 + 7

  • 25 \:  \: units

8 0
3 years ago
Suppose a city with population 900,000 has been growing at a rate of 7% per year. If this rate continues, find the population of
DaniilM [7]

Answer: 1,971,000

Step-by-step explanation:

7% increase per year= 7/100 x 900,000

=63000; population will therefore increase by 63,000 per year.

In 17 years, it will have increased by 63,000 × 17 = 1,071,000

Population in 17 years will be current population + increase

=900,000+ 1,071,000

=1,971,000

8 0
3 years ago
The value of 3^4+5•5=
balandron [24]

Answer:

106

Step-by-step explanation:

3^4=81

5·5=25

81+25=106

5 0
3 years ago
How to find angle measurements
umka21 [38]
If talking about triangles:
Are you given any angle measurements before hand?
If so, if you have two angle measurements, in order to get the last angle measurement, you would add those two angle measurements up then do 180-that answer to get the last measurement.

If you're given the sides, you can do law of cosines or law of sines.

But if you're talking about a regular angle, you use a protractor to measure the degrees of an angle.
3 0
3 years ago
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