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Leya [2.2K]
3 years ago
14

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

Mathematics
2 answers:
GrogVix [38]3 years ago
8 0
\bf C(\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquad 
D(\stackrel{x_2}{6}~,~\stackrel{y_2}{0})
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-5)}{6-3}\implies \cfrac{0+5}{6-3}\implies \cfrac{5}{3}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{5}{3}(x-3)\implies y+5=\cfrac{5}{3}x-5
\\\\\\
y=\cfrac{5}{3}x-10\implies \stackrel{standard~form}{-\cfrac{5}{3}x+y=-10}
disa [49]3 years ago
6 0
Just see my atachment.

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b 48

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3 0
3 years ago
Read 2 more answers
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trapecia [35]

Answer:

see explanation

Step-by-step explanation:

x² + 3x + 7 = 5 ( subtract 5 from both sides )

x² + 3x + 2 = 0 ← in standard form

(x + 2)(x + 1) = 0 ← in factored form

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x + 1 = 0 ⇒ x = - 1

--------------------------------------------------------------

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(3x + 1)(x - 2) = 0 ← in factored form

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(x + 3)² + 4x = 0 ← expand left side using FOIL and simplify

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4 0
3 years ago
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andreev551 [17]

Answer:

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Step-by-step explanation:

sum of squares of legs, equal to the square of the hypotenuse.

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6 0
2 years ago
The lengths of two sides of a triangle are given.
azamat

Answer:

Range = 5 - 29

Step-by-step explanation:

a + b > c

a+c > b

c+b > a  

so

17+ 12 > c  ,,,,,,,,,,,,,,,,,,,,,,,,,,,, so it should be lesser than 17+12 which is 29

17 +c > 12    ,,,,,,,,,,,,,,,,,,,,,,,,, and it should be greater than 17- 12 = 5  

c+12 > 17 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, same here,  it should be greater than 17- 12 = 5  

So the range is ,

17 + 12

to

17-12

whcih is -   (5 to 29)

I hope I am right!!!

3 0
3 years ago
The line passing through (-4,6) and parallel to the line y=3x+8
Allisa [31]
<span>y=3x+8
if it's parallel to this line, then the slope will also be 3.

slope = 3
</span><span>x</span>₁ = -4
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<span>
</span><span>for this question, we use point-slope
y - y</span>₁ = m(x - x₁)

y + 4 = 3(x - 6)
y + 4 = 3x - 18

y = 3x - 14
this is your equation
6 0
3 years ago
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