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mariarad [96]
2 years ago
15

Which equation represents the line that passes through points (2, 0) and (6, -8)?

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
4 0

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{-8}{4}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-2}(x-\stackrel{x_1}{2})\implies y=-2x+4

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you are buying wood to build a gate for your backyard. if your car trunk has the following dimensions (47 inches by 33 inches by
riadik2000 [5.3K]

The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

<h3>How to measure diagonal of the cuboid?</h3>

The length of the diagonal of the cuboid is found out using the following formula.

D=\sqrt{l^2+b^2+h^2}

Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.

The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,

  • Length (l)=47 in
  • Width (w)=33 in
  • Height (h)=19.5 in

The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,

D=\sqrt{47^2+33^2+19.5^2}\\D=\sqrt{3678.25}\\D=60.65\rm\; in

Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

Learn more about the cuboid here;

brainly.com/question/22694657

#SPJ1

3 0
2 years ago
Plz help with math thank you
Delicious77 [7]

Answer:

Step-by-step explanation:

Law of Sines  recall   Sin(A) /a  = Sin(B) /b  

does the above make sense?

Next we need to find  the angle of A

notice that 16+75=91  :o

so angle A is only 89° ..(b/c all the way around then inside of a triangle is 180)  so this is NOT a right triangle but that's okay, b/c law of sines still works fine.

then we want to find length of line AB

and if 89 = A  then a = BC

and if  75 = B the  b = AB (note that in the given triangle this is angle C, i'm using B , b/c you can see the difference between capital B and  lower case b much easier than you can with C, & c  :/   )

capitals are the angles while lower case are the length of the sides

then

Sin(89) / 29 = Sin(75) / b

solve the parts that can be put into numbers or solve for 'b' first, that means isolate 'b' all by itself on one side of the equal sign .

0.034477 = 0.965925/ b

b = 0.965925 / 0.034477

b = 28.0165

b = 28.0 ( to the nearest 10th)

we have the parts to plug in now

Sin(75) /

8 0
3 years ago
|-4 + 3| · 8.
Firdavs [7]

Answer:

8

Step-by-step explanation:

-4+3=-1

|-4+3|=1

|-4+3|•8=8

(|) the vertical line represent absolute value if it is a negative number inside the vertical lines it gives a positive number

Examples:

|-1|=1

|-4|=4

Hope you understand

7 0
2 years ago
Read 2 more answers
Help me plz! Thank you!
saw5 [17]

Answer:

the vertical line test proves that it is not a function because there are two y values for 1 x value

Step-by-step explanation:

5 0
3 years ago
Which list of fractions is in order from smallest to largest? 1/6,1/3 ,1/2 ,1/2 ,1/3 ,1/6 ,1/6 ,1/2 ,1/3, 1/2, 1/6, 1/3
Afina-wow [57]

Answer:

u need a tutor because I can help u with that answer its very easy??,

8 0
3 years ago
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