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3 years ago

Write an equation in point slope form that passes through (3,-1) and has a slope of 2?

Mathematics

1 answer:

dusya [7]3 years ago

7 0

Answer:

y+1 = 2 (x -3)

Step-by-step explanation:

The formula for point slope form is --

Y - Y1 = m ( x - x1)

M being slope, y1 and x1 being the values.

since the y value is negative, double negative is positive so instead of minus 1 it would be plus 1

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HELP PLEASE! I'll give you the most stars for explaining and giving the answer

never [62]

1. Because each element in the domain is matched exactly with one element I. The range.

3 0

3 years ago

The number of windows on each floor form an arithmetic sequence; 124 windows on the first floor, 116 windows on the second floor

zubka84 [21]

Answer:

Formula is 132 - 8n, and there are 52 windows on 10th floor.

Step-by-step explanation:

difference = 116-124 = -8 ( 8 less windows for every floor you go up)

the first fllor has 124 windows

Formula:

$a_{1} = 124$

$a_{n} = 124 + (-8)(n - 1)$ = 132 - 8n

10th Floor:

$a_{10} = 124 + (-8)(10 - 1) = 124 + (-8)(9) = 124 - 72 = 52 windows$

6 0

2 years ago

A coin is tossed twice. What is the probability of getting a tail in the first toss and a tail in the second toss?

skelet666 [1.2K]

Answer:

<h2>1/4 Chances</h2><h2>25% Chances</h2><h2>0.25 Chances (out of 1)</h2>

Step-by-step explanation:

Two methods to answer the question.

Here are presented to show the advantage in using the product rule given above.

<h2>Method 1:Using the sample space</h2>

The sample space S of the experiment of tossing a coin twice is given by the tree diagram shown below

The first toss gives two possible outcomes: T or H ( in blue)

The second toss gives two possible outcomes: T or H (in red)

From the three diagrams, we can deduce the sample space S set as follows

S={(H,H),(H,T),(T,H),(T,T)}

with n(S)=4 where n(S) is the number of elements in the set S

tree diagram in tossing a coin twice

The event E : " tossing a coin twice and getting two tails " as a set is given by

E={(T,T)}

with n(E)=1 where n(E) is the number of elements in the set E

Use the classical probability formula to find P(E) as:

P(E)=n(E)n(S)=14

<h2>Method 2: Use the product rule of two independent event</h2>

Event E " tossing a coin twice and getting a tail in each toss " may be considered as two events

Event A " toss a coin once and get a tail " and event B "toss the coin a second time and get a tail "

with the probabilities of each event A and B given by

P(A)=12 and P(B)=12

Event E occurring may now be considered as events A and B occurring. Events A and B are independent and therefore the product rule may be used as follows

P(E)=P(A and B)=P(A∩B)=P(A)⋅P(B)=12⋅12=14

NOTE If you toss a coin a large number of times, the sample space will have a large number of elements and therefore method 2 is much more practical to use than method 1 where you have a large number of outcomes.

We now present more examples and questions on how the product rule of independent events is used to solve probability questions.

8 0

2 years ago

Read 2 more answers

The diameter of a circle that has an area of 452.16 mm

irinina [24]

The diameter is 24 since if you ÷ it by 2 you get 12 to get area it is radius squared so 12 × 12= 144×pi which is 3.14= 452.16 mm you can even check in a calculator

3 0

3 years ago

The weight of an object on mars varies directly is proportional as the weight of the object on earth a 75 pound object on earth

dedylja [7]

Answer:

It weighs 40 pounds on mars

Step-by-step explanation:

Direct proportion is the relationship between two variables when their ratio is equal to a constant value

It can be expressed as y = k x, where y varies directly as x and k is constant of variation
It can be expressed as $\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k$

∵ The weight of an object on mars varies directly as the weight

of the object on earth

∴ w(m) = k × w(e)

∵ The weight of the object on earth is 75 pound

∴ w(e) = 75

∵ The weight of this object on mars is 25 pounds

∴ w(m) = 25

- Substitute them in the equation of variation

∵ 25 = k × 75

- Divide both sides by 75

∴ $\frac{1}{3}$ = k

∴ w(m) = $\frac{1}{3}$ × w(e)

∵ An object weighs 120 pounds on earth

∴ w(e) = 120

- Substitute it in the equation of variation

∴ w(m) = $\frac{1}{3}$ × 120

∴ w(m) = 40

∴ It weighs 40 pounds on mars

5 0

3 years ago