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Effectus [21]
3 years ago
12

Construct the triangle dce using as coordinates of its vertices points d(−4, 0), c(0, −2), and e(5,3). Find the coordinates of i

ntersection of side ce with the x-axis.
Mathematics
1 answer:
Naily [24]3 years ago
4 0

Answer:

So, coordinate of intersection point  = (2,0)

Explanation:

Given a triangle DCE whose coordinate of the vertex are :

D(−4, 0), C(0, −2), and E(5,3)

We will find the equation of CE

Firstly find the slope of CE

Slope (m) = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}}

m = \frac{3-(-2)}{5-0} = 1

Equation of line is :

y - y₁ = m(x - x₁)

y - (-2) = 1(x-0)

y + 2 = x                   equation of CE

Find the intersection point of CE and x-axis

Put y = 0 to find the x-intercept

0 + 2 = x

x = 2

So, coordinate of intersection point  = (2,0)

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A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z%
sergeinik [125]

Answer:

Both statements are sufficient to answer the question

Step-by-step explanation:

Given:

- The paint mixture has following proportions:

 Total volume of paint = T

 Blue:  x*T / 100

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 Red: z*T/100

Find:

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Solution:

Statement 1:

- The amount of blue paint used is:

                    1 gallon = x*T / 100

- x = y,

                    1 gallon = y*T / 100

Hence,

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- The statement is sufficient

Statement 2:

- The amount of red paint used is:

                    3 gallon = z*T / 100

                    T = 300 / z = 300 / 60 = 5 gallons

                    T = R + B + G

                    G = T - R - B

                    G = 5 - 3 - 1

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Hence,

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5 0
3 years ago
Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx
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Given the differential equation

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The solution is as follows:

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3 0
3 years ago
Convert 150 degrees to radian
Dafna1 [17]

Answer:

A

Step-by-step explanation:

To convert degrees to radians

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Hence

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8 0
3 years ago
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