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1 year ago

!PLEASE HELP!Solve for MN. A) 21 B)9 C)6 D)4

Mathematics

1 answer:

Oksanka [162]1 year ago

7 0

The measure of MN from the diagram is 6

<h3>Similarity theorem of triangles</h3>

From the given triangle, the expression below is true;

ML/LK = MN/NO

Given the following parameters

ML = 4

LK = 10

NO= 15

Substitute the given parameters into the formula

4/10 = MN/15

Cross multiply

10MN = 4 * 15

10MN = 60

MN = 6

Hence the measure of MN from the diagram is 6

Learn more on similar triangles here: brainly.com/question/14285697

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The lsrl after an exponential transformation is log yhat=.4785 + 1.468x. What is the exponential form of the regression?

zheka24 [161]

Answer:

$10^{0.4785+1.468x}=y$

Step-by-step explanation:

So I'm assuming when you typed "log yhat=.4785 + 1.468x", you meant to write: $log(y)=0.4785+1.468x$ . And generally a logarithm can be written in the form $log_ba=c$ which can then be rewritten as $b^c=a$ , but since the log has no base, it's assumed to be 10. So in this case you have the equation:

$log_{10}y=0.4785+1.468x$ , which can then be written in exponential form as:

$10^{0.4785+1.468x}=y$

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1 year ago

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$