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3 years ago

Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3

Mathematics

1 answer:

Ket [755]3 years ago

7 0

Answer:

y = -0.2(x) + 3

Step-by-step explanation:

One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.

Our two points are then (5, 2) and (0,3)

To find the slope, we can use

$\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2$

Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get

2 = -0.2 (5) +b

2 = -1 + b

add 1 to both sides to isolate the b

b = 3

Our formula is thus

y = -0.2(x) + 3

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A house is on a 60,000-squarefoot lot. rounded to the nearest tenth, approximately how many acres are in the lot? note: there ar

bagirrra123 [75]

The computation shows that the acres that are in the lot will be 1.38 acres.

<h3>How to compute the value?</h3>

It should be noted that the information is that the house is on a 60,000-squarefoot and the there are 43,560 square feet in an acre.

Therefore, the acres in the lot will be:

= 60000/43560

= 1.38 acres

Therefore, the computation shows that the acres that are in the lot will be 1.38 acres.

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1 year ago

Car price $118,191

Alik [6]

Answer:

3410.64

Step-by-step explanation:

Gonna assume that the 2.49 is the APR

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effective rate: .0249/12= .002075

x= payment

$118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317$

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3 years ago

The average commute time to work (one way) is 25 minutes according to the 2005 american community survey. if we assume that comm

brilliants [131]

Given that t<span>he average commute time to work (one way) is 25 minutes according to the 2005 american community survey. if we assume that commute times are normally distributed and that the standard deviation is 6.1 minutes, what is the probability that a randomly selected commuter spends less than 18 minutes commuting one way

The probability that a randomly selected number from a normally distributed dataset with a mean of μ and a standard deviation of σ is less than a value, x, is given by:

</span><span> $P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)$

Given that the average </span><span>commute time to work (one way) is 25 minutes and that the standard deviation is 6.1 minutes,

the probability that a randomly selected commuter spends less than 18 minutes commuting one way is given by:

$P(X\ \textless \ 18)=P\left(z\ \textless \ \frac{18-25}{6.1} \right) \\ \\ =P(z\ \textless \ -1.148)=\bold{0.1256}$ </span>

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4 years ago

What type of transformation does Shape A undergo to form Shape B a

Elis [28]

the answer is the last one: a 90° clockwise rotation

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3 years ago

BRAINLIEST ANSWER WINS! A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is sh

bekas [8.4K]

Answer:

D. x²/1953² + y²/ 1466² = 1

Step-by-step explanation:

==>Given:

Radius of spherical moon = 1000km

Distance of satellite from moon surface = 953km to 466km

==>Required:

Derived equation of ellipse

==>Solution:

The formula for driving an equation of ellipse is given as:

x²/a² + y²/b² = 1

Where,

a = length of the semi-major axis, while,

b = length of the semi-major axis

Since we are told that the satellite distance to the surface of the moon varies from 953km to 466km, values of a and b is calculated by summing each length to the radius of the moon as follows:

a = radius of moon + the larger distance of the satellite = 1000+953 = 1,953km

b = radius of moon + the smaller distance of the satellite = 1000+466 = 1,466km

Thus, the equation of the ellipse would be:

x²/1953² + y²/ 1466² = 1

8 0

3 years ago