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wolverine [178]
2 years ago
14

The points A (-3, b), and B (1, 3) are 5 units apart. Find the value of b.

Mathematics
1 answer:
Mazyrski [523]2 years ago
6 0
The value of B is 2. So (-3, 2) and (1, 3)
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The coordinate of centroid of a triangle whose vertices are (1,3,-2), (4,5,0), (6,3,9) is = ……………….
Dominik [7]

Answer:

C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})

Step-by-step explanation:

Given

(x_1,y_1,z_1) = (1,3,-2)

(x_2,y_2,z_2) = (4,5,0)

(x_3,y_3,z_3) = (6,3,9)

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))

Substitute values of x and y in the given equation

C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))

C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))

C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})

<em>The above is the coordinate of the centroid</em>

8 0
2 years ago
What is the final cost of a book priced at $10.00 with a tax rate of 5%?
Sophie [7]

Answer:

10.50

Step-by-step explanation:

5% of 10 is 0.5

0.5+10=10.50

5 0
2 years ago
Read 2 more answers
3(n+4)=21 what does n =?
Brilliant_brown [7]

Answer:

3.

Step-by-step explanation:

3(n + 4) = 21

3n + 12 = 21

3n = 21 - 12 = 9

n = 3.

7 0
3 years ago
Read 2 more answers
PLEASE HELP DUE NOW!!!<br> WILL MARK BRAINLIEST!!!
Ulleksa [173]

Answer: -10, 10

Step-by-step explanation:

first lets add the two equations. add the x's, add the y's, add the constants on the right.

we get

0x - 1y = -10

so then divide --10 by -1 because we do the opposite operations to both sides

and we get y = 10

now substitute y = 10 into the first equation

-10x - 9(10) = 10

and then we get -10x - 90 = 10

now add 90 to both sides

-10x = 100

divide 100 by -10

x = -10

y = 10

checks out

EPIC. STAY EPIC AND AWESOME FRIEND.

3 0
2 years ago
Solve for x:<br><br><br><br> 2 x + 10 + 2 x - 6 = 36
skad [1K]
Group together the like terms (plus 2x with 2x) (subtract 10 by 6)

4x+4=36

Move plus four to the other side as a negative

4x=32

Divide both sides by 4

32 divided by 4 is 8


Therefore, x is equal to 8
7 0
3 years ago
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