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babunello [35]
3 years ago
11

Plz help no guessing

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0


 2x - y = 63 so y = 2x - 63

substitute y = 2x - 63  into 3y = x
3y = x
3(2x - 63) = x
6x - 189 = x 
5x = 189
  x = 189/5

y =  2(189/5) - 63
y = 63/5

answer
(189/5 , 63/5)
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I NEED HELP PLEASE, THANK YOU!
bixtya [17]

Answer:

\sqrt{37}

Step-by-step explanation:

To find the distance between a point (m, n ) and the line

Ax + By + C = 0

d = \frac{|Am +Bn+C|}{\sqrt{A^2+B^2} }

Here (m, n) = (6, 2) and rearranging the line

6x - y + 3 = 0 ← in general form

with A = 6, B = - 1 and C = 3 , then

d = \frac{|6(6)-1(2)+3|}{\sqrt{6^2+(-1)^2} }

   = \frac{|36-2+3|}{\sqrt{36+1} }

   = \frac{37}{\sqrt{37} }  

Rationalise the denominator by multiplying numerator/ denominator by \sqrt{37}

= \frac{37}{\sqrt{37} } × \frac{\sqrt{37} }{\sqrt{37} }

=\frac{37\sqrt{37} }{37} ← cancel 37 on numerator/ denominator

= \sqrt{37}

5 0
3 years ago
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If 12 > -15, which of the following must be true?
Tcecarenko [31]

Answer:

12 is to the right of -15 on a number line.

Step-by-step explanation:

Hope this helps! - CJ

5 0
3 years ago
Anyone can help me with my math homework please?
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

hello,

so we know y in terms of t and x in terms of t and we need to find y in terms of x

x=21t^2\sqrt{x}=\sqrt{21}*t \ \ as \ \ t>=0 \ \ So\\t=\sqrt{\dfrac{x}{21}}

and then

y=f(x)=3\sqrt{\dfrac{x}{21}}+5=\sqrt{\dfrac{9x}{21}}+5=\sqrt{\dfrac{3x}{7}}+5

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Answer:

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Step-by-step explanation:

y = 4x^2 - 9x + 1

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y = (4x^2 - 9x) + 1

y = 4(x^2 - \dfrac{9}{4}x) + 1

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y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - 4 \left( \dfrac{81}{64} \right)

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4.06 Question 6
polet [3.4K]

Answer:

If we are to make x small rugs, each of which takes 2 hours to dye, then the total time taken to dye the small rugs is 2x. Similarly for the y large rugs which each take 3 hours to dye, the total time for dyeing the large rugs is 3y. Therefore the total for all sizes of rugs is 2x + 3y. Finally, we have a maximum of 60 available hours for the dyeing, so the total time cannot exceed 60, and the final inequality is

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Step-by-step explanation:

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