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2 years ago

K = 2LM + 2LN. Solve for L

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

7 0

First, factor out an L to get K=L(2M+2N). Then divide both sides by (2M+2N).

Andreas93 [3]2 years ago

6 0

L is 0 because it cancels itself out

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The scale on a map shows that 200 miles is represented by 5 inches on a map which proportion can be used to find the distance of

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Answer:

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Step-by-step explanation:

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2 years ago

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AURORKA [14]

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3 years ago

(-2,9) and (-2,-5)<br> Slope:

Oliga [24]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (- 2, - 5 )

m = $\frac{-5-9}{-2-(-2)}$ = $\frac{-14}{-2+2}$ = $\frac{-14}{0}$

Since division by zero is undefined then the slope is undefined

6 0

2 years ago

Read 2 more answers

Consider the equation below.

Korvikt [17]

Answer:

Equation in square form:

$y=3(x+5)^2-4$

Extreme value:

$(h,k)=(-5,-4)$

Step-by-step explanation:

We are given

$y=3x^2+30x+71$

we can complete square

$y=3(x^2+10x)+71$

we can use formula

$a^2+2ab+b^2=(a+b)^2$

$y=3(x^2+2\times x\times 5)+71$

now, we can add and subtract 5^2

$y=3(x^2+2\times x\times 5+5^2-5^2)+71$

$y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71$

$y=3(x+5)^2-75+71$

So, we get equation as

$y=3(x+5)^2-4$

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

$y=a(x-h)^2+k$

where

vertex=(h,k)

now, we can compare and find h and k

$y=3(x+5)^2-4$

we get

h=-5

k=-4

so, extreme value of this equation is

$(h,k)=(-5,-4)$

6 0

3 years ago

Read 2 more answers

An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec

SVETLANKA909090 [29]

Answer:

The probability mass function is given by

P(X = 0) = 0.003, P(X = 1) = 0.164, P(X = 2) = 0.833

Step-by-step explanation:

Given to us are two mechanical components.

The probability of the first component meeting the given specifications are 0.98.

The probability that the second component meets the given specifications = 0.85.

In the information given the components are said to be independent.

The probability mass function will be calculated in the following way

i.) P(X=0) which is the probability that neither of the components meet the specifications.

ii) P(X=1) which is the probability when either of the components will meet the specifications and the other will not.

iii) P(X=2) which is the probability that both components meet the specification.

Therefore P(X = 0) = ( 1 - 0.98) × ( 1 - 0.85) = 0.02 × 0.15 = 0.003

and, P(X = 1) = (0.98 × ( 1 - 0.85)) + (( 1 - 0.98) × 0.85)

= (0.98 × 0.15) + (0.02 × 0.85)

= 0.147 + 0.017

= 0.164

and finally, P(X=2) = (0.98 × 0.85)

= 0.833

4 0

3 years ago