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svlad2 [7]
3 years ago
9

JK=4x+7 and KL=3x+14 find JL

Mathematics
1 answer:
Lena [83]3 years ago
5 0

Answer:

Step-by-step explanation:

4x + 7 = 3x + 14

x + 7 = 14

x = 7

4(7) + 7 + 3(7) + 14

28 + 7 + 21 + 14

35 + 35 = 70

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5.1 kilometers to meters and centermeters
DIA [1.3K]
510,000 centimeters and 5,100 meters
4 0
3 years ago
Read 2 more answers
Find the coordinates of the point on a circle with radius 4 at an angle of 2pi/3
dmitriy555 [2]

Answer:

The coordinates of the point on a circle with radius 4 at an angle of \frac{2\pi}{3} radians are x = -2 and y = 3.464.

Step-by-step explanation:

This problem ask us to determine the rectangular coordinates from polar coordinates. The polar coordinates of the point in rectangular form is expressed by the following expression:

(x,y) = (r\cdot \cos \theta, r\cdot \sin \theta)

Where r and \theta are the radius of the circle and the angle of inclination of the point with respect to horizontal, measured in radians. If r = 4 and \theta = \frac{2\pi}{3}\,rad, the coordinates of the point are:

(x,y) = \left(4\cdot \cos \frac{2\pi}{3},4\cdot \sin \frac{2\pi}{3}  \right)

(x,y) = (-2, 3.464)

The coordinates of the point on a circle with radius 4 at an angle of \frac{2\pi}{3} radians are x = -2 and y = 3.464.

4 0
4 years ago
Find how many years it would take for an investment of $3700 to grow to $6000 at an annual interest rate of 6.2% compounded semi
lorasvet [3.4K]

Answer:

  7 years 11 months

Step-by-step explanation:

The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...

  FV = P(1 +r/n)^(nt)

For the given numbers, we want to find t:

  6000 = 3700(1 +.062/2)^(2t)

Dividing by 3700 and taking the logarithm, we get ...

  6000/3700 = 1.031^(2t)

  log(60/37) = 2t·log(1.031)

Dividing by the coefficient of t gives ...

  t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years

It will take about 7 years 11 months for the investment to grow to $6000.

7 0
3 years ago
Please help!
Kobotan [32]

Answer:

You have three card : 3, 4, and 5.

You first pick one card randomly, the probability of picking a 3 is:

P = 1/3

You then pick a second card without putting the first card back, the probability of picking a 5 is:

P = 1/2

=> The probability of picking a 3 and then picking a 5:

P = (1/3) x (1/2) = 1/6

Hope this helps!

:)

8 0
3 years ago
Line contains the points (0,4) and (2,0). Show that the points (-25,81) does or does not lie on line
Annette [7]

Answer:

(- 25, 81) does not lie on the line

Step-by-step explanation:

We can use the slope m to determine if (- 25, 81) lies on the line or not

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 0)

m = \frac{0-4}{2-0} = \frac{-4}{2} = - 2

now if (- 25, 81) lies on the line then the slope between (- 25, 81) and either of the 2 points on the line should equal - 2

(x₁, y₁ ) = (- 25, 81) and (x₂, y₂ ) = (2, 0)

m = \frac{0-81}{2+25} = \frac{-81}{27} = - 3

The slopes are not equal hence (-25, 81) does not lie on the line



5 0
4 years ago
Read 2 more answers
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