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balu736 [363]
3 years ago
13

Simplify:

e="\sqrt{36} - \sqrt{6} + \sqrt{126}" alt="\sqrt{36} - \sqrt{6} + \sqrt{126}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Andrej [43]3 years ago
4 0
The answer is option (A)
Here’s the solution
Hope you understand it!!

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What is the equation of the line shown in the graph?
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The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-3, 1) and (2, -4). Substitute:

m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1

Therefore we have the equation of a line

y=-1x+b\to y=-x+b

Put the coordinates of the point (-3, 1) to the equation:

1=-(-3)+b

1=3+b      <em>subtract 3 from both sides</em>

-2=b\to b=-2

<h3>Answer: y = -x - 2</h3>
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I hope this helps :)

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Step-by-step explanation:

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Find all the missing parts to the triangle below
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Use Law of Cosines                             g^2 = f^2 + h^2 -2fhCosG                     f^2 = g^2 + h^2 -2ghCosF                    h^2 = f^2 + g^2 -2fgCosH

f^2 = 28^2 + 15^2 -2*28*15Cos87        28^2 = 31^2 + 15^2 -2*31*15CosG 
f^2 = 784 + 225 - 43.96                        784 = 961+225 - 930CosG 
f^2 = 965.0378                                    784 - 1186 = -930CosG
f = 31                                                 -402 = -930CosG             Divide by -930
                                                           .432258 = CosG
                                                           Cos^-1(.432258) = G
                                                             G = 64 degrees

Angle H = 180 - 64 - 87 = 29 degrees

Side f =   31                     Angle F =  87 degrees
Side g =  28                     Angle G = 64 degrees
Side h =  15                     Angle H =29  degrees
3 0
3 years ago
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