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Roman55 [17]
3 years ago
12

In right-angled ∆ ABC, ∟B=90⁰. ∆ ABC is in the first and second quadrant on the graph paper. The coordinates of the points A and

C are (2,5) and (-2,3). How do you find the possible pairs of coordinates of B?​
Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

The given coordinates of the points A and C of the right triangle ABC are (2, 5) and (-2, 3) respectively

The possible pairs of the coordinates of the point B are found as follows;

1) Draw a horizontal line from the point C to the right and a vertical line down from the point A to get the point B at (2, 3) which is the point of the perpendicular intersection of the two constructed lines above

2) Draw a vertical line from the point C upwards and a horizontal line to the left from the point A to get the point B at (-2, 5) which is the point of the  perpendicular intersection of the two newly constructed lines here

Step-by-step explanation:

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Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year
musickatia [10]

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

6 0
2 years ago
What is 7+10x-2x-2=-3
Ivahew [28]
7+10x-2x-2=-3

—-Combine like terms...10x-2x=8x and 7-2=5

8x+5=-3
——subtract 5 on both sides.. the 5’s will cancel each other and -3-5=-8

8x=-8
——Divide 8 on both sides...the 8’s will cancel out and -8 divided by 8 = -1

Answer: x = -1
6 0
3 years ago
Evaluate the following integral in cylindrical coordinates triple integral 1/(1+x^2+y^2) dzdxdy z=0..2 y=0..square root(1-x^2) x
sertanlavr [38]

In cylindrical coordinates, we take

x=r\cos\theta

y=r\sin\theta

z=z

so that \mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz.

We have

1+x^2+y^2=1+r^2

and the integral is

\displaystyle\int_0^2\int_0^\pi\int_0^1\frac r{1+r^2}\,\mathrm dr\,\mathrm d\theta\,\mathrm dz=\frac{\ln2}2\int_0^2\int_0^\pi\mathrm d\theta\,\mathrm dz=\boxed{\pi\ln2}

8 0
3 years ago
Solve the equations PLEASEE<br><br> -1=3x-2<br><br> -3x=9<br><br> -10=-5x
Ilia_Sergeevich [38]

Answers are in bold:

-1=3x-2

add 2 to both sides

-1+2=3x-2+2

1=3x

divide both sides by 3

1÷3=3x÷3

1/3=x

-3x=9

divide both sides by -3

-3x÷-3=9÷-3

x=-3

-10=-5x

divide both sides by -5

-10÷-5=-5x÷-5

2=x

I hope this is good enough:

6 0
3 years ago
5TH GRADE LEVEL QUESTION. PLEASE LOOK AT PHOTO AND ANSWER AND PLEASE LIST STEP BY 1,2,3 GIVING BRAINLIEST.
Andrej [43]

Answer:

Step 1: 3*4=12

Step 2: 12+3=15

Step 3: 15-10=5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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