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3 years ago

What is the slope-intercept equation for the following line?

Mathematics

2 answers:

babymother [125]3 years ago

3 0

Answer:

y = - x + 1

Step-by-step explanation:

Slope = 2/-2 = -1

y-intercept: 1

y = -x + 1

jok3333 [9.3K]3 years ago

3 0

Answer:

y = -x + 1

Step-by-step explanation:

Given the points (2, -1) and (0, 1):

Let (x1, y1) = (2, -1)

(x2, y2) = (0, 1)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = [1 - (-1)] /(0 - 2)

m = (1 + 1)/ -2

m = 2/-2 = -1

Therefore, the slope, m = -1.

Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.

Therefore, the linear equation of the graph in slope-intercept form is:

y = -x + 1

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A store opens at 8am. From 8 until 10 customers arrive at a Poisson rate of four an hour. Between 10 and 12, they arrive at a Po

SVETLANKA909090 [29]

Answer:

The probability distribution of the number of customers that enter the store on a given day is:

$P(x=k)=\frac{57^ke^{-57}}{k!}$

Step-by-step explanation:

To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.

This can be done with the data given:

1) From 10 to 12, 8 arrival/hour: 16 expected arrivals in this period

2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.

3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.

The total expected arrivals in a day are: 16+20+21=57 arrivals/day.

Then, the probability distribution of the number of customers that enter the store on a given day is:

$P(x=k)=\frac{57^ke^{-57}}{k!}$

5 0

3 years ago

Write the equation of a circle given the center (-4, 4) and raduis r = 5.

Len [333]

Answer:

A) $(x+4)^2+(y-4)^2=25$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. If $(h,k)\rightarrow(-4,4)$ and $r=5$ , then:

$(x-h)^2+(y-k)^2=r^2\\\\(x-(-4))^2+(y-4)^2=5^2\\\\(x+4)^2+(y-4)^2=25$

Therefore, the equation of the circle is $(x+4)^2+(y-4)^2=25$

6 0

3 years ago

Please help find the value of x find value angle of WAY find value angle of XAY

stealth61 [152]

Answer:

(x-10)° + (x + 14)° = 180°

=> x° - 10° + x° + 14 ° = 180°

=> 2x° + 4° = 180°

=> 2x° = 176°

=> x° = 176°/ 2

=> x° = 88°

Therefore the magnitude of x° = 88° (ans)

5 0

3 years ago

Which statements are true about the trigonometric ratios of this triangle

rosijanka [135]

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(30°) = $\frac{AC}{AB}$

= $\frac{11\sqrt{3} }{22}$

= $\frac{\sqrt{3}}{2}$

sin(30°) = $\frac{BC}{AB}$

= $\frac{11}{22}$

= $\frac{1}{2}$

cos(60°) = $\frac{BC}{AB}$

= $\frac{11}{22}$

= $\frac{1}{2}$

sin(60°) = = $\frac{AC}{AB}$

= $\frac{11\sqrt{3} }{22}$

= $\frac{\sqrt{3}}{2}$

Options (1), (2), (3) and (4) are the correct options.

3 0

3 years ago

2a + 4 > 12 qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

nika2105 [10]

Answer:a>4

Step-by-step explanation:

7 0

3 years ago