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2 years ago

Find the measurement of KL (round your answer to the nearest one hundredth. Which theorem did you use?

Mathematics

2 answers:

VMariaS [17]2 years ago

8 0

9.434, Pythagorean theorem

katrin2010 [14]2 years ago

8 0

Using the Pythagorean theorem:

KL = sqrt( 8^2 + 5^2)

KL = sqrt( 64 + 25)

KL = sqrt(89)

KL = 9.43

The answer is 9.43

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Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9

densk [106]

Answer:

y= CC-4.5x^2

Step-by-step explanation:

To find the general solution to the differential equation

dy + 9x dx = 0, we employ the method of separating variable as follows:

Note: { will represent the integral sign here.

Separating the variables and integrating, we have

{dy = -{9x dx

y = -(9/2)(x^2) + CC,

where CC is the given constant of integration.

This can be rearranged/simplified to yield

y= CC-4.5x^2

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3 years ago

What is the solution to the system of equations?

Mashcka [7]

Answer: (-2, 5/3)

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2 years ago

Is 1.7 greater than 1 7/9

Simora [160]

17 = 1 7/10

1.7 < 1 7/9

1.7 is less than 1 7/9

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3 years ago

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What is the answer for number 8 and pls give step by step

Pie

Answer:

Trapezoid 1 (left side):

Base 1 = 2

Base 2 = 5

Trapezoid 2 (right side):

Base 1 = 6

Base 2 = 8

Step-by-step explanation:

1st trapezoid:

b_1 = x

b_2 = x + 3

h = 4

Hence, area (from formula) would be:

$A=\frac{h}{2}(b_1+b_2)\\A=\frac{4}{2}(x+x+3)\\A=2(2x+3)\\A=4x+6$

2nd trapezoid:

b_1 = 3x

b_2 = 4x

h = 2

Putting into formula, we get:

$A=\frac{h}{2}(b_1+b_2)\\A=\frac{2}{2}(3x+4x)\\A=1(7x)\\A=7x$

Let's equate both equations for area and find x first:

$4x+6=7x\\6=7x-4x\\6=3x\\x=\frac{6}{3}\\x=2$

We can plug in 2 into x and find length of each base of each trapezoid.

Trapezoid 1 (left side):

Base 1 = x = 2

Base 2 = x + 3 = 2 + 3 = 5

Trapezoid 2 (right side):

Base 1 = 3x = 3(2) = 6

Base 2 = 4x = 4(2) = 8

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3 years ago

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levacccp [35]

I think the answer is D

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3 years ago

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