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dalvyx [7]
3 years ago
8

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

Mathematics
1 answer:
Elden [556K]3 years ago
5 0
Slope =   (y₂- y₁) / (x₂- x₁)

Points  C( 3, -5) and D (6, 0)  compare to (x₁, y₁) and  (x₂, y₂)

Slope = (0 - -5) / (6- 3)  =   (0+5) / (3) =  5/3

Slope = 5/3

Equation of line given a slope and point,   y - y₁ = m(x - x₁)

m = 5/3,    let point C( 3, -5) = (x₁, y₁)

  y -  - 5 =  (5/3) (x - 3)
 
  y + 5  = (5/3)(x - 3)

   3(y + 5) = 5(x - 3)
  
    3y + 15 = 5x - 15

     3y =  5x - 15 - 15

     3y = 5x - 30

Hence the equation of the line is 3y = 5x - 30
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Juliette [100K]
You need to calculate 12% of 800.

To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)

12% of 800 =

= 12% * 800

= 0.12 * 800

= 96

Answer: 96 students
6 0
3 years ago
I need to factor 2x squared plus 6X minus 80
hjlf
2x*2 + 6x + 80

First we have to use distribution property

2(x*2 + 3x + 40)=0
Divide 2 to both sides

X*2 + 3x + 40=0

Multiply -1
-x*2 -3x-40=0
Add two numbers to get 3x
Multiply same two numbers that you add to get 40x*2

Add
-8x+5x= -3x


Multiply
-8x . 5x= -40x*2


-x*2-8x+5x-40

(X*2-8x) + (5x-40)

X(x-8)+ 5(X-8)

Common factor

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This would help you!
8 0
3 years ago
17.5% commission 1,500
snow_tiger [21]

Answer:

i think you have to take the

17.5

------ × 1500

100

Step-by-step explanation:

i guess.

3 0
3 years ago
Help please i need answer ASAP
Juli2301 [7.4K]

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

<h3>Transformation of functions</h3>

Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as

f(x) = x^2

If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

Learn more on translation here: brainly.com/question/12861087

#SPJ1

8 0
1 year ago
Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle? Explain how you found
SCORPION-xisa [38]

Answer:

r = 5 inches

Step-by-step explanation:

Area of circle, A=78.5\ in^2

It is required to find the radius of the circle. The area of a circle is given by the formula :

A=\pi r^2

r is radius of the circle

r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{78.5}{3.14}} \\\\r=5\ \text{inch}

So, the radius of the circle is 5 inches.

5 0
2 years ago
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