7 friends have a similar cell phone plans. The price of each plan is $x. This means that the basic cost of all the plans is $x. The total basic cost for the 7 plans would be

7 × x = $7x

3 of 7 friends pay an extra $4 per month for unlimited text messaging. The total amount paid by the 3 friends would be

3 × 4 = $12

Therefore, the total cost for the 7 plans would be

7x + 12

6 0

3 years ago

What number should be added to both sides of the equation to complete the square?

omeli [17]

-6. its to make the equation equal

4 0

3 years ago

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The length of a rectangle is 8 feet longer than the width. If the perimeter is 80 feet, find the length and width of the rectang

Klio2033 [76]

perimeter = 2L + 2W

L=8+w

perimeter = 2(8+w) +2w

80 =16+2w+2w

80 = 16 +4w

64 =4w

w=64/4 = 16

l=16+8 =24

length = 24 feet

width = 16 feet

check 2(24) +2(16) = 48 + 32 = 80

7 0

3 years ago

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?<br>

Lostsunrise [7]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

3 0

3 years ago

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