A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?

y - 1 = -4 (x + 2)

y - 4 = -2 (x - 1)

y - 1 = 4 (x - 2)

y - 2 = -4 (x - 1)​

Step-by-step explanation:

Infinity means that it has no end to something

And undefined means something can't be defined

Answer:

Undefined means, it is impossible to solve.

Infinity means, it is without bound.

Attaching ropes to the midsegment of the triangle formed ensures that the

zipline can more safely cross the family and friends to safety.

Reasons:

The coordinates of the endpoints of the redline = A(4, 3), and B(-8, -2)

The point selected, P = (4, -3)

[tex]\displaystyle Mid \ point \ of AB, \ D = \left(\frac{4 + (-8)}{2}, \ \frac{3 + (-2)}{2} \right) = \left(-2, \, 0.5\right)[/tex]

[tex]\displaystyle Mid \ point \ of AP, \ E = \left(\frac{4 +4}{2}, \ \frac{3 + (-3}{2} \right) = \left(4, \ 0 \right)[/tex]

[tex]\displaystyle Mid \ point \ of\, BP, \ F = \left(\frac{-8 +4}{2}, \ \frac{-2+ (-3}{2} \right) = \left(-2, \ -2.5\right)[/tex]

The lengths of the midsegments are found as follows

Length of DE = √((4 - (-2))² + (0 - (0.5))²) = 0.5·√(145)

Length of DF = √(((-2) - (-2))² + ((-2.5) - (0.5))²) = 3

Length of EF = √(((-2) - 4)² + ((-2.5) -0)²) = 6.5

(b) The length of side AB = √((4 - (-8))² + (3 - (-2))²) = 13

The length of side BP = √((4 - (-8))² + (-3 - (-2))²) = √(145)

The length of side AP = √((4 - 4)² + (-3 - 3)²) = 6

The perimeter of the triangle ΔABP = 13 + 6 + √(145) = 19 + √(145)

The amount of rope needed to create a lifeline to safety is therefore;

19 + √(145) + 0.5·√(145) + 3 + 6.5 = 28.5 + 1.5·√(145) ≈ 46.56

The amount of rope needed to create a lifeline to safety = 46.56

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Answer:     3 :3 :3

                 $8.88

Step-by-step explanation:

Answer:

SAS theorem >This is the correct

Answer:

Step-by-step explanation:

[tex] \huge\colorbox{pink}{hope \: its \: help}[/tex]

Answer:

3.75

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

Hope this helps

Have a great and blessed day :)

Answer:

Step-by-step explanation:

Given function:

Zero of the function:

Vertical asymptotes:

Horizontal asymptotes:

The graph with asymptotes and zero is attached

Answer:

Step-by-step explanation:

Answer:

4000

Step-by-step explanation: First multiply the first two equations and will give you 1200000000 divided by 300000. Now logically 12/3is 4  so u do the same in the equation and it gives you 4000. Pls give brainly if i was right

Answer:

Step-by-step explanation:

(1.2•10^9) divided by (3•10^5)

(1.2 * 10^9) : (3 * 10^5) =

(1.2 * 1000000000) : (3 * 100000) =

1200000000 : 300000 =

4000

============================================================

Explanation:

The order of a matrix is a way of describing its size. Specifically, the order is represented in the form [tex]m \times n[/tex], where,

The rows are laid out horizontally, and the columns are vertical.

In this case, we have 5 rows and 3 columns. Therefore, the answer is 5 x 3. The order is important because a 5 x 3 matrix is different from a 3 x 5 matrix.

Answer:

708 times 34 = 24,072

estimated = 710 times 30 = 21,300

Step-by-step explanation:

hope this helped!

mark me brainliest :D

Answer:

Estimate: 21,000 or 21,300 (the answer depends on what your teacher is looking for. you didnt give a lot of information so i apologise if its wrong)

Exact: 24,072

Step-by-step explanation:

Estimate -

700 x 30 = 21,000

or

710 x 30 = 21,300

Exact -

708 x 34 = 24,072

Hope this helps!! :)

Answer:

Step-by-step explanation:

Today only, a sofa is being sold at a 32% discount. The sale price is $289.

What was the price yesterday?

289 is 68%                          (100% - 32% = 68%)

289 : 68 * 100 =

425

--------------------------

check

425 - 32% = 289

the answer is good

Answer:63

Step-by-step explanation:

Took the test

Using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.

The line of best fit for a scatter plot is modelled as y = mx = 2, where m is the slope and b is the initial value.

Given the equation of the line of best fit as, y = x + 2, to find the predicted arm span, y, for a girl who is 61 in. tall (x), substitute x = 61 into y = x = 2.

y = 61 + 2

y = 63

Therefore, using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.

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-4<x>/=5

Answer:

b,d,c

Step-by-step explanation:

y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs

For 60 creps, 15 eggs will be needed.

Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served

Now, for 20 creps, 5 eggs are needed.

Then for 1 crep, (5/20) eggs are needed.

For 60 creps, (5/20) x 60 = 15 eggs will be needed.

Therefore, For 60 creps, 15 eggs will be needed.

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Answer:

The answer is 101100

Answer:

54%

Step-by-step explanation:

freetime total in 1 week

7=5*7=35

(videogames+internet)/totaltimeperweek=(8+11)/35=19/35≈.542857143≈54%

the answer is 54%

Answer:

1500

Step-by-step explanation:

112500/75=answer

answer=1500

Answer: 1 towel cost 1,500

Step-by-step explanation: When you divide $112,500 by 75 you get 1,500.

Answer:

I'm really sorry, but I only know that d=8

Answer:

Y = -3 and with x as 3.9 y equals 2.8

Step-by-step explanation:

Answer:

Associative property

Step-by-step explanation:

The associative property states that, in addition, pairs of parentheses can be moved without changing the value of the expression. This means that (a+b)+c=a+(b+c). That same rule can be seen in the equation above because the parentheses move from the first 2 terms to the 3rd and 4th terms. Either way, both sides of the equation remain equal.

Answer:

63

Step-by-step explanation:

Answer:

4th side is 8a-2

Step-by-step explanation:

P = 39a-7 - ((17a-6) + (9a) + (5a+1))

P = 39a-7 - (31a-5)

P = 8a-2

Answer:

9:29pm

Step-by-step explanation:

Answer:

  19 cups

Step-by-step explanation:

Let c represent the number of cups of tea. The total cost will be ...

  10c +3(45) ≤ 332

  10c ≤ 197 . . . . . . . . . . . subtract 135

  c ≤ 19.7

Bidula can buy up to 19 cups of tea with ₹332.

Answer:

xy

Step-by-step explanation:

The sample mean of the random sample is 50

The margin of error (E) is the amount of error allowed in the random sample.

The confidence interval (CI) is given by:

CI = μ ± E = (μ - E, μ + E)

Given a confidence interval of (38.02, 61.98), hence:

μ - E = 38.02     (1)

μ + E = 61.98     (2)

Hence solving equations 1 and 2 simultaneously gives:

μ = 50, E = 11.98

Hence the sample mean of the random sample is 50

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Answer: 30

Step-by-step explanation:

25% of forty is 10 so we minus 40 by 10 to see the remaining 75% which is our answer.

40 - 10 = 30

30 people came

The number of people attend the party is 30.

Given that, Abena invited 40 people to a party.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 25% of 40

= 25/100 × 40

= 0.25 × 40

= 10

Number of people didn't come = 10

So, number of people came = 40-10=30

Therefore, the number of people attend the party is 30.

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