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Svetllana [295]
3 years ago
10

On a number line suppose point E has a coordinate of -2 and EG =10 what are the possible coordinates of point G ?

Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

| E - G | = EG

| -2 - G | = 10

-2 - G = 10                 -2 - G = -10

   - G = 12                      - G = -8

     G = -12                       G = 8

Answer: -12 or 8

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Esther cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches.
Studentka2010 [4]

Answer:

Side of the square paper = 21 inches

Step-by-step explanation:

Let the square paper is having measure of each side = a inches

Esther cut this square piece into two pieces.

Let the other side of one rectangle piece = x inches

Perimeter of this piece = 2(a + x) inches

Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches

Perimeter of this piece = 2[a + (a - x)]

Since both the rectangular pieces have the same perimeter = 63

So, 2(a + x) = 2[a + (a - x)] = 63

2(a + x) = 2(2x - x)

a + x = 2a - x

2a - a = 2x

a = 2x

x = \frac{a}{2}

Therefore, Perimeter = 2(a + x) = 2(a + \frac{a}{2}) = 63

2\times \frac{3a}{2} = 63

3a = 63

a = 21

Therefore, measure of the sides of the square is 21 inches.

5 0
3 years ago
$18, P = $200, r = ?, t = 1.5 years. Find the annual interest rate.
faust18 [17]

                                                  Question 1)

Given

Interest I = $18

Principle P = $200

t = 1.5 years

To determine

Interest rate r = ?

Using the formula

P = Irt

r=\frac{I}{Pt}

susbtituting I = 18, t = 1.5 and P = 200

r=\frac{18}{\left(200\times 1.5\right)}

r = 0.06

or

r = 6%       ∵ 0.06 × 100 = 6%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $18.00  from a principal of $200 over 1.5 years is 6% per year.

                                                    Question 2)

Given

Interest I = $60

Principle P = $750

Interest rate = 4% = 0.04

To determine

Time period t = ?

Using the formula to calculate the time period

P = Irt

t\:=\:\frac{P}{Ir}

t=\frac{60}{\left(750\times 0.04\right)}

t = 2 years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750 at an interest rate of 4% per year  is 2 years.

7 0
3 years ago
Can someone please help with this!
Sever21 [200]

mathpapa should n could help

8 0
3 years ago
Read 2 more answers
What is the approximate length of VU? What is the length of the midsegment parallel to VU?
anastassius [24]

u is at (1,-2)

V is at (-6,-6)

 using distance formula it is about 8.06 long

 so Answer is C

6 0
3 years ago
Which table and graph represents y=3x
LekaFEV [45]

Answer:

Table A and Graph B

Step-by-step explanation:

It is Graph B because of the equation's slope which is 3. This 3 is represented as \frac{3}{1} as a slope or as a "rise over run", this means that the graph goes up by 3 units while going right by 1 unit.

It is Table A because the points in the graph match with the points which Graph B goes through.

7 0
3 years ago
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