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Alex73 [517]
3 years ago
13

Pic attached- If twice a number, n, is 5 less than three times the

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer: F: 2n = 3n - 5

Step-by-step explanation: Subtract 5 from 3n as 2n is 5 less than 3n.

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The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

(x-h)^2+(y-k)^2=r^2

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

5 0
2 years ago
The perimeter of a rectangular swimming pool is 446 centimeters. The width of the pool is 7 centimeters less than the length of
Akimi4 [234]

Answer:

length = 115 cm

width = 108 cm

Step-by-step explanation:

The perimeter of a rectangular swimming pool is 446 centimeters

LEt L be the length of the pool

The width of the pool is 7 centimeters less than the length of the pool.

width = length - 7

W= L-7

Given perimeter = 446

Perimeter of rectangle = 2(length)+2(width)

446 = 2(L) + 2(W)                    we know W = L-7

446 = 2(L) + 2(L-7)    

446 = 2L + 2L - 14

Add 14 on both sides

460 = 4L

divide by 4 on both sides

L= 115

Length L= 115

Width W = L - 7 = 115 - 7= 108



5 0
3 years ago
2/5(6-5p)=? simplify the expression​
beks73 [17]

Answer:

12/5 - 2p

Step-by-step explanation:

Use the distributive property:

2/5 * 6 - 2/5 * 5p = 12 / 5 - 2p

3 0
3 years ago
Read 2 more answers
Plz help me well mark brainliest if correct!!..
zepelin [54]

Answer: A/The LINE graph

Step-by-step explanation:

6 0
3 years ago
Marilyn uses a credit card with a 19.9% APR compounded monthly to pay for car repairs totaling $991.38. She can pay $410 per mon
Leokris [45]
Marilyn's finance charge at the end of the first month will be
  $991.38 × 0.199/12 = $16.44
The balance subject to the next month's finance charge will be
  $991.38 +16.44 -410.00 = $597.82

The finance charge at the end of the second month will be
  $597.82 × 0.199/12 = $9.91
The balance remaining after the second payment will be
  $597.82 +9.91 -410.00 = $197.73

The finance charge applied at the end of the third month is
  $197.73 × .199/12 = $3.28
so Marilyn can make one final payment of
  $197.73 +3.28 = $201.01
to pay off the balance.

In all, Marilyn has paid 2×$410.00 +201.01 = 
  $1021.01 . . . . . . . . corresponds to the first choice

_____
In real life, Marilyn's credit card may not accrue any finance charge until after the first statement on which the charge appears. Thus the total cost of the purchase may be only $1004.02. The attached spreadsheet shows the beginning balance and the finance charges for each month for the two different scenarios.

8 0
2 years ago
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