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2 years ago

The slope and a point on a line are given. Use the information to locate three additional points on the line.

Mathematics

2 answers:

Vsevolod [243]2 years ago

8 0

C is the right answer , the equation of the line y=-4x-7

TiliK225 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

the typical form of line equation is

y = ax + b

a = the slope of the line (expressed as y/x ratio telling us how many units y changes when x changes a certain number of units).

b = the intercept on the y-axis (when x = 0).

we know, a = -4

and we use the point (x = -2, y = 1) to get b

y = -4x + b

1 = -4×-2 + b = 8 + b

b = -7

y = -4x - 7

only the points of option C are all fulfilling this equation.

e.g. x = 0, y = -7

-7 = -4×0 - 7 = -7, true, -7 = -7

and so on.

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The probability that a plane departs on time at a certain airport is .87 The probability that a plane arrives on time given it d

sleet_krkn [62]

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

P(B|A) = P(B nA)/P(A)

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places

7 0

2 years ago

3/8 rounded to the nearest thousand

ioda

19/50

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5 0

2 years ago

4-58. Lisa plans to retire on her 61st birthday. On her

mojhsa [17]

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒ $A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0$

⇒ $A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0$

⇒ $A = 10000\times 16.4436\times \frac{0.3066}{23.1148}$

⇒ $= 10000\times 16.4436\times 0.0132$

⇒ $=2180.81$ ($)

4 0

2 years ago

HELP HELP HELP Quick algebra 1 questions

beks73 [17]

Hello:

Okay, this problem should be taken in a series of steps:

What is the slope's formula?

$\rm\hookrightarrow \frac{y_2-y_1}{x_2-x_1}$

(x₁,y₁) -- first point
(x₂,y₂) -- second point

Okay, now let's use this knowledge

10. (5,-19) and (-5,21)

$Slope = \frac{21--19}{-5-5} =\frac{40}{-10}=-4$

11. (12,1) and (12, -1)

$Slope = \frac{-1-1}{12-12} =\frac{-2}{0}$

12. (8,7) and (4,7)

$Slope = \frac{7-7}{4-7} =0$

Answer:

Question 10: -4
Question 11: undefined
Question 12: 0

Hopefully that helps!

5 0

1 year ago

What is a verbal expression for 2m

avanturin [10]

The verbal expression for 2m is two meters

7 0

2 years ago