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Mice21 [21]
3 years ago
12

write the equation for the line that is perpendicular to given line that passes through the given point -3x-6y=17; (6,3)

Mathematics
2 answers:
irga5000 [103]3 years ago
8 0
Slope of the given line = -1/2
the equation is
(y-3)/(x-6)=2
y-3=2x-12
y=2x-9

maxonik [38]3 years ago
6 0

Answer:

y=2x-9

Step-by-step explanation:

you have the line

-3x-6y=17

clearing for y:

-6y=17+3x\\y=\frac{17}{-6} +\frac{3}{-6} x\\y=-\frac{1}{2} x-\frac{17}{6}

we have an equation of the form

y=mx+b

the number that accompanies the x is the slope, and the number alone is the intercept with the y-axis

the slope m is:

m=-\frac{1}{2}

i will call the slope of the new line m_{2}

so for two perpendiculares lines we must have:m*m_{2}=-1

and from this we can find the new slope:

m_{2}=\frac{-1}{m} \\\\m_{2}=\frac{-1}{\frac{-1}{2} } \\m_{2}=2

the new slope is 2,

so far we have that the new line is:

y=2x+b

so now we have to find the intercept with the y axis (b) of the new line, since it passes trough (6,3) ---> x = 6 when y = 3

substituting these x and y values in y=2x+b:

3=2(6)+b\\3=12+b\\b=3-12\\b=-9

and finally, the equation of the new line that is perpendicular to the original line is:

y=2x-9

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A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and
USPshnik [31]

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse  with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

e=\sqrt{1-(\frac{b}{a})^2}

e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}

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8 0
3 years ago
In the figure,what’s is m
Sergeeva-Olga [200]

Answer:

∠ DBE = 25.5°

Step-by-step explanation:

Given ∠ DBC = 90° and ∠ DBE + ∠ EBC = ∠ DBC, then

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7 0
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A planning board in Elm County is interested in estimating the proportion of its residents that are in favor of offering incenti
Viktor [21]

Answer:

Given confidence interval is 0.54+or-0.05

0.54-0.05,0.54+0.05 =

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AleksandrR [38]
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Find the product of (3.7 • 10^4) and 2.
Serga [27]

Answer:

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Step-by-step explanation:

For scientific notation, multiplication is pretty simple.

In this case, you would only multiply the "regular" number by 2.

(3.7 · 2) · 10^4

= 7.4 · 10^4

However, if it were asking about multiplying the number with something else in scientific notation, in addition to what we did above, you'd add together the exponents.

I hope this helped!

6 0
3 years ago
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