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3 years ago

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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JulsSmile [24]

Answer:

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Step-by-step explanation:

it says the sides a are 3 times larger so you are trying to find the perimeter of b so you do 144 divided by 3 since it is 3 times larger.

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3 years ago

Read 2 more answers

Need help ASAP!!!!!!

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

Equate each factor to zero and solve for x ( zero product rule )

x + 2 = 0 → x = - 2

x + 1 = 0 ⇒ x = - 1

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

x² - 2 = - 2x² + 5x ( subtract - 2x² + 5x from both sides )

3x² - 5x - 2 = 0 ← in standard form

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

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - $\frac{1}{3}$

x - 2 = 0 ⇒ x = 2

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

x² + 6x + 9 + 4x = 0

x² + 10x + 9 = 0 ← in standard form

(x + 9)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

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4 0

3 years ago

Here’s question 2 once again I’ll give brainlest

andreev551 [17]

Answer:

Step-by-step explanation:

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

24²+45²=c²

576+2,025=√2,601

√2,601=51

6 0

3 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

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

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]

y=3x+8
if it's parallel to this line, then the slope will also be 3.

slope = 3
x₁ = -4
y₁ = 6

for this question, we use point-slope
y - y₁ = m(x - x₁)

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

y = 3x - 14
this is your equation

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3 years ago