Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

Answers

Answer 1

Answer: To answer the problem above, we can start with the formation of the point-slope form of a line. The slope is solved through,

m = (y2 - y1)/(x2 - x1)
m = (0 - -5)/ (6 - 3) = 5/3

The point - slope form of the equation of the line is,

y - y2 = m(x - x2)

Substituting the known data,

y - 0 = (5/3)(x - 6)
This simplifies into,

y = 5x/3 - 10

Thus, the standard form of the equation is,

5x - 3y = 30

Answer 2

Answer:

Answer: $5x-3y=30$

Step-by-step explanation:

We know that the equation a line in point-slope form passing through points (a,b) and (c,d) is given by :-

$(y-b)=(d-b)/(c-a)(x-a)$

Then , the equation a line in point-slope form passing through points C(3, –5) and D(6, 0) is given by :-

$(y-(0))=(0-(-5))/(6-3)(x-6)\n\n\Righarrow\ y=(5)/(3)(x-6)\n\n\Rightarrow\ 3y=5x-30\n\n\Rightarrow\ 5x-3y=30$

Hence, the equation of line CD in standard form : $5x-3y=30$

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A.80
B.144
C.96
D.160

Answers

a prism, like those two in the example in the picture below, will have two bases, one at the bottom and one atop, and then the sides.

now, this prism has two bases each of which is 16, and the sides are 64 altogether, so the surface area is simply 16 + 16 + 64 = 96.

Five and one half less than 3 times a number

Answers

3x - 5 1/2 is the expression

Put in number in order 439.216 439.126 439.261 439.261

Answers

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What is the final balance for the investment? $1500 for 3 years at 10% compounded annually A.$1625.00 B.$1875.00 C.$1996.50 D.$2110.50

Answers

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A CD store sold 3,467 CD's in 7 days. About the same number of CD's were sold each day. About how many CD's did the store sell each day

Answers

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As part of a competition Diego must spin around in a circle six times and then run to a tree. The time he spends on each spin is represented by s and the time he spends running is r. He gets to the tree 21 seconds after he starts spinning. Write an equation showing the relationship between s and r.

Answers

Answer:

6s + 2r = 21

Step-by-step explanation:

Please kindly see the attached file for explanaion

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