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3 years ago

8

What is the equation for the line that passes through the points (4,2) and (0,6)?

1 answer:

Wewaii [24]3 years ago

3 0

Answer:

The equation is y=-x+6.

Step-by-step explanation:

To find the slope of this equation, we use the equation m=y2-y1/x2-x1, where m is the slope. Take one y coordinate and subtract it from the other and do the same with the x coordinates. Then, divide the difference of the y coordinates by the difference of the x coordinates. For example, 6-2/0-4. This gets us 4/-4. You can also do 2-6/4-0 which gets us -4/4. No matter what, we get -1 for each (we don't include the 1 in front of the x). To find the y-intercept, plug in the coordinates. For example, do 6=0(-1)+b or 2=4(-1)+b. No matter which you use, you get an answer of b=6. This gives you an equation of y=-x+6. Hope this helps :)

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URGENT ANSWER FAST PLEASE

xeze [42]

410.3ft^3. is correct

volume of the sphere with 3ft radius :
$\frac{4 \times \pi \times 3 \times 3 \times 3}{3} = 113$

volume of the sphere with 5ft radius:
$\frac{4 \times \pi \times 5 \times 5 \times 5}{3} = \frac{1570}{3} = 523.3$

difference
$523.3 - 113 = 410.3$

good luck

7 0

3 years ago

Find the perimeter of a square with a side length of 10 meters

Vlad [161]

side length of square=10

Now,

perimeter of square =4l

=4×10

=40m

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3 years ago

X²(2 - 7x) (-x+2)<br> Expand the following exercise

Komok [63]

Answer:

Step-by-step explanation:

Use FOIL method

(2 - 7x)(-x + 2) = 2*(-x) + 2*2 + (-7x)*(-x) + (-7x)*2

= -2x + 4 + 7x² - 14x {Combine like terms}

= 7x² - 14x - 2x + 4

= 7x² - 16x + 4

x²(2-7x)(-x + 2)= x² (7x² - 16x + 4)

= x²*7x² - 16x * x² + 4x²

$7x^{2+2} -16x^{1+2} + 4x^{2}\\\\= 7x^{4} - 16x^{3} + 4x^{2}$

7 0

3 years ago

Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose t

andrezito [222]

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ. $e^{-\lambda.x}$

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - $e^{-\lambda.x}$

(a) <u>Probability</u> of distance at most <u>100m</u>, with λ = 0.0143:

F(100) = 1 - $e^{-0.0143.100}$

F(100) = 0.76

<u>Probability</u> of distance at most <u>200</u>:

F(200) = 1 - $e^{-0.0143.200}$

F(200) = 0.94

<u>Probability</u> of distance between <u>100 and 200</u>:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = $\frac{1}{\lambda}$

E(X) = $\frac{1}{0.0143}$

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = $\sqrt{\frac{1}{\lambda^{2}} }$

σ = $\sqrt{\frac{1}{0.0143^{2}} }$

σ = 69.93

<u>Distance exceeds the mean distance by more than 2σ</u>:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - $e^{-0.0143*209.79}$ )

P(X > 209.79) = 0.0503

(c) Median is a point that divides the value in half. For a probability distribution:

P(X≤m) = 0.5

$\int\limits^m_0 f({x}) \, dx$ = 0.5

$\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx$ = 0.5

$\lambda.\frac{e^{-\lambda.x}}{-\lambda}$ = $-e^{-\lambda.x} + e^{0}$

$1 - e^{-\lambda.m}$ = 0.5

$-e^{-\lambda.m}$ = - 0.5

ln( $e^{-0.0143.m}$ ) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

6 0

3 years ago

You make $8.95 an hour working at a coffee shop. If you earn $107.40 how many hours did you work?

puteri [66]

12 hours (107.40 / 8.95)

7 0

3 years ago

Read 2 more answers