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Ivahew [28]
3 years ago
10

Given: JK tangent, KH=16, HE=12 Find: JK.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer: JK=8

Step-by-step explanation:

You can observe in the figure that JK is a tangent and KH is a secant and both intersect at the point K. Then, according to the Intersecting secant-tangent Theorem:

JK^2=KE*KH

You know that:

KH=KE+HE

Then KE is:

KE=KH-HE

KE=16-12

KE=4

Now you can substitute the value of KE and the value of KH into  JK^2=KE*KH and solve for JK. Then the result is:

JK^2=4*16\\JK^2=64\\JK=\sqrt{64}\\JK=8

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jon's car can travel an average of 35 miles per gallon. How many gallons will he need for a trip of 656 miles?
I am Lyosha [343]

Answer:

19 gallons

Step-by-step explanation:

We divide the total distance by the distance per gallon: 656/35. We get 18.74..., so Jon would need 19 gallons to travel 656 miles.

3 0
3 years ago
What are the determinants for solving this linear system?<br> 5x + 3y = 17<br> −8x − 3y = 9
Ksivusya [100]
For this case we have the following system of equations:
 5x + 3y = 17
 -8x - 3y = 9
 We can rewrite the system like:
 Ax = b
 Where,
 A = [5   3; -8   -3]
 b = [17; 9]
 x = [x; y]
 The determinant of matrix A is given by:
 lAl = ((5) * (- 3)) - ((3) * (- 8))
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 lAl = 9
 Answer:
 
The determinant for solving this linear system is:
 
lAl = 9
3 0
3 years ago
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Dmitry_Shevchenko [17]

Answer:

m = 3

Step-by-step explanation:

Find the slope of the line connecting (-2,-3) and (-4,-9).  (Note:  you must use those parentheses.)

As we go from x= -4 to x = -2, an increase of 2, y increases by 6 from -9 to -3.  The slope of this line is m = rise / run = 6/2 = 3.

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3 years ago
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Tanya [424]

Answer:

Ok listen here

Step-by-step explanation:

You are like the earth.

On the inside is a bright center and lava. When lava comes to the surface as a volcano, many people think it's ugly and dangerous, but other people think that it's beautiful.

We all know that a lot of people think the surface of the earth is ugly, and they have given up hope that people can change it, but the truth is that, the world is beautiful and we can change it.

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Always remember that :)

7 0
3 years ago
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5.15 divided by 0.24= I need an explanation
abruzzese [7]

Answer:

Step-by-step explanat

5.15=515/100

0.24=24/100

515/24=21.45

4 0
3 years ago
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