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JulijaS [17]
3 years ago
15

Find the coordinates of B if A has coordinates (3, 5) and Y(–2, 3) is the midpoint of AB

Mathematics
1 answer:
frez [133]3 years ago
6 0

Answer:

B (-7, 1)

Step-by-step explanation:

All we have to do is set up equations to find coordinate b from midpoint formula.

x-coordinate:

-2 = \frac{3+x}{2}

-4 = 3 + x

x = -7

y-coordinate:

3 = \frac{5+y}{2}

6 = 5 + y

y = 1

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A political gathering in South America was attended by 7,910 people. Each of South America’s 14 countries was equally represente
zheka24 [161]

Answer:

565

Step-by-step explanation:

You would divide the number of people (7910) by the number of countries attending (14).

7910÷14=565

3 0
3 years ago
At the movie theatre, child admission is $6.30 and adult admission is $9.90 . On Monday, 159 tickets were sold for a total sales
frez [133]
C = child tickets
a = adult tickets

Solve this with the substitution method.
Make two equations:

6.30c + 9.90a = 1,246.50
c + a = 159

Solve for c.
Subtract 9.90a from both sides.

6.30c = 1,246.50 - 9.90a
Divide both sides by 6.30.

c = 197.86 - <span>1.57a (rounded to hundredths)
Plug c into second equation.

</span>197.86 - 1.57a + a = 159
Combine like terms.

197.86 - 0.57a = 159
Subtract 197.86 from both sides.

-0.57a = -38.86
Divide both sides by -0.57.

a = <span>68.18
round up to ones: 68

</span>\boxed {68~adult~tickets} were sold.<span>
</span>
8 0
3 years ago
A pedestal for a statue is made with 405 cubic feet of concrete.
Pavlova-9 [17]

Answer:

45 square feet

Step-by-step explanation:

we know that

The volume of the pedestal (rectangular prism) is given by the formula

V=Bh

where

B is the area of the rectangular base of pedestal

we have

V=405\ ft^3\\h=9\ ft

substitute the given values in the formula and solve for B

405=B(9)

B=405/9\\B=45\ ft^2

5 0
3 years ago
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ExtremeBDS [4]

Answer:

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3 0
3 years ago
Find f-1(x), if f(x) = 3x – 6. Justify your
Sergio039 [100]
Answer: 1/3 (x + 6)

Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)
4 0
3 years ago
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