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Alisiya [41]
3 years ago
9

What is the equation of the line that passes through the points (−2, 3) and (2, 7)?

Mathematics
1 answer:
vichka [17]3 years ago
6 0
The slope = (y2-y1) / (x2-x1) 
=  (7-3) / (2- -2)
= 4/4
= 1
using the point/slope form of a line:-
y - y1 =  m(x - x1)
y -  3 = 1(x -  -2)
y = x + 2 + 3
y = x + 5  (answer)
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3. Jim invests $3500, compounded annually at 12% for 3 years. What is the total
irga5000 [103]

Answer:

None of the above, it should be $4760

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 12%/100 = 0.12 per year,

then, solving our equation

I = 3500 × 0.12 × 3 = 1260

I = $ 1,260.00

The simple interest accumulated

on a principal of $ 3,500.00

at a rate of 12% per year

for 3 years is $ 1,260.00

3 0
3 years ago
the perimeter of a square is equal to the perimeter of an equilateral triangle the length of a side of the square is given by th
diamong [38]

Answer:

x = 3

Step-by-step explanation:

We are told that the length of a side of the square is x.

Now, perimeter of square = 4 × side length

Perimeter of square = 4x

Also,we are told that the triangle is equilateral and a side is (x + 1).

Thus, perimeter of triangle = 3(x + 1)

Since we are told that the perimeter of the square is equal to that of the equilateral triangle. Thus;

4x = 3(x + 1)

4x = 3x + 3

Subtract 3x from both sides to get;

4x - 3x = 3

x = 3

5 0
3 years ago
What is the area occupied by the castle below Quadir built from wooden blocks?
Firlakuza [10]

Answer:

4x6x12x5x4x4x5=

115200

6 0
3 years ago
A wireless phone company charges a monthly fee of $39.99 plus $0.49 per minute for usage that exceeds the included minutes. Writ
Marizza181 [45]

Answer:

$54.20

Step-by-step explanation:

minute=m

total monthly cost = p

39.99 + .49m = p

39.99 + .49(29) =p

39.99 + 14.21 =p

54.2 =p

3 0
3 years ago
If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, t
xenn [34]

Answer:

\frac{3}{5}

Step-by-step explanation:

  • Let the denominator be x
  • So, numerator = x - 2
  • According to the given condition: when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is \frac{1}{2}

  • \implies \frac{x-2-1}{x-1}=\frac{1}{2}

  • \implies \frac{x-3}{x-1}=\frac{1}{2}

  • \implies 2(x-3)=x -1

  • \implies 2x-6=x -1

  • \implies 2x-x=6-1

  • \implies x=5

  • \implies x-2=-5-2= 3

  • Required \: rational\: number = \frac{3}{5}
6 0
2 years ago
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