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bonufazy [111]
3 years ago
11

Consider the point​ (x,y) lying on the graph of the line 6x + 4y = 7. Let L be the distance from the point​ (x,y) to the origin​

(0,0). Write L as a function of x.
Urgent!!! Please help fast !!!!!!!!!!

Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Try this solution, note, the shown way is not the shortest one.

The answer is marked with red colour.

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What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?
Mandarinka [93]

Answer:

center: (-5,6)

Radius: 7

Step-by-step explanation:

5 0
2 years ago
The graph of y = f(x) is graphed below. What is the end behavior of f(x)?
pogonyaev

Answer:

A

Step-by-step explanation:

As the graphs goes really far to the left or really far to the right you can see that the Y value is only going up

5 0
3 years ago
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting
luda_lava [24]

Answer:

2, 0.135, 0.270, 0.270, 0.180, 0.145

Step-by-step explanation:

1. To calculate the mean of people arriving in 5 minute period:

We know the arrival rate of minute is 0.4, so people arriving in 5 minutes will be

0.4 x 5 = 2

2. From part 1 it is known thay mean arrival time=2

For this we will use poisson's probability formula that is

P(X=x) = (2^x) x Exp^(-2/x!)

For X=0

P(X=0) = (2^0) x Exp^(-2/0!) = 0.135

For X = 1

P(X=1) = (2^1) x Exp^(-2/1!) = 0.270

For X = 2

P(X=2) = (2^2) x Exp^(-2/2!) = 0.270

For X = 3

P(X=3) = (2^3) x Exp^(-2/3!) = 0.180

3. For delay expected if more than 3 customer arrive in 5 minutes.

P(X>3) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3)

P(X>3) = 1-0.135-0.270-0.270-0.180

P(X>3) = 0.145

5 0
3 years ago
Find x in the triangle below. Round your answer to the nearest tenth.
jonny [76]

Answer:

Step-by-step explanation:

Remark

  • x is opposite the 90 degree angle. It is the hypotenuse.
  • 13 makes up the 57 degree angle. It is the side adjacent.
  • The adjacent side and the hypotenuse define the cos(theta).

Formula

cos(theta) = adjacent side / hypotenuse

Givens

Theta = 57 degrees

Hypotenuse = x

Side adjacent = 13

Solution

  • Cos(57) = 13 / x         Multiply both sides by x
  • x*cos(57) = 13           Divide by cos(theta)
  • x = 13/cos(57)
  • x = 13 / cos(57)
  • cos(57) = 0.5446
  • x = 13/ 0.5446
  • x = 23.87
6 0
3 years ago
In 2001 the mint indoor pool vault record was 20 and 1/6 the women’s record for the indoor pool vault was 15 and 5/12 FT what is
blondinia [14]

Answer:

35 and 7/12 feet is the combined height of the two records.

Step-by-step explanation:

Height of the indoor pool vault record for men = 20 and 1/6 ft =\frac{121}{6} ft

Height of indoor pool vault record for women = 15and 5/12 ft =\frac{185}{12} ft

The combined height of the two records :

\frac{121}{6} ft+\frac{185}{12} ft

\frac{121\times 2}{6\times 2} ft+\frac{185}{12} ft

\frac{242}{12} ft+\frac{185}{12} ft

\frac{242+185}{12} ft=\frac{427}{12}=35\frac{7}{12}

35 and 7/12 feet is the combined height of the two records.

5 0
3 years ago
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