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Katarina [22]
4 years ago
7

What is the equation of the line that has a slope of –4 and passes through the point (2, 3)?

Mathematics
1 answer:
irinina [24]4 years ago
6 0

Answer:

y=-4x+11

Step-by-step explanation:

We can use the point-slope form of a line to solve this, which is

y - y₁ = m (x - x₁), where (x₁ , y₁) is a point and m is the slope.

We have:

y - 3 = -4(x - 2)

y - 3 = -4x + 8

y = -4x + 11

Hope this helps!

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The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. If the length of the garden is 24ft long
ArbitrLikvidat [17]

Answer: the area of the garden is 297 ft^2

Step-by-step explanation:

The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. This means that the total distance around the restaurant is 84ft.

Perimeter of a rectangle is expressed as 2(L + W)

L = length of the rectangle

W = width of rectangle.

Since the perimeter is 84ft

2(L + W) = 84

If the length of the garden is 24ft longer than the width of the garden, this means that

L = W + 24

Therefore

2(W +24 + W) = 84

2(2W +24) = 84

4W + 48 = 84

4W =84 - 48 = 36

W = 36/4 = 9

L = W + 24 = 9+24

L = 33 feet

Area if a rectangle is expressed as

Area = L× W

Area = 33 × 9 = 297 ft^2

5 0
4 years ago
A scale drawing of a square object has a scale of 1 in. : 5 mm. The scale drawing has a length of 2.5 inches. Find the perimeter
luda_lava [24]

Answer:

Perimeter and area of drawing

Perimeter= 10 In

Area = 6.25 In²

Perimeter and area of object

Perimeter = 51.836 mm

Area = 167.936 mm²

Step-by-step explanation:

We are dealing with a square object, so let's talk about the drawing first.

The length of one side = 2.5 In

Perimeter of square= 4L

Perimeter = 4*2.5

Perimeter= 10 In

Area = L*L

Area = 2.5*2.5

Area = 6.25 In²

Letd note that 1 inch =

25.4 millimetres

So 2.5 Inch = 2.5 * 25.4

2.5 In = 63.5 mm.

25.4 mm is to 5mm

63.5 mm is to (63.5*5)/24.5

63.5mm is to 12.959 mm

So the length of actual object is 12.959mm

The perimeter = 4*12.959

Perimeter = 51.836 mm

Area = 12.959²

Area = 167.936 mm²

7 0
3 years ago
Read 2 more answers
Find the equation of the linear function represented by the table below
Mariana [72]

Answer:

X-3=Y

Step-by-step explanation:

-3-3=-6

1-3=-2

5-3=2

9-3=6

4 0
3 years ago
Please don’t skip me i really need this answer<br><br> show all work
kotykmax [81]

Answer: The answer is b

Step-by-step explanation:

3 0
3 years ago
suppose you toss 3 coins at one time. what is the probability that exactly two land with heads facing up?
mezya [45]

The probability of getting heads is 3/8.

<u>Probability:</u>

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

Since 3 is a small number, let's list out all possible combinations.

H represents a head while T represents a tail.

3 Heads

HHH

2 Heads

HHT

HTH

THH

1 Head

HTT

THT

TTH

0 Head

TTT

The answer is

3/1+3+3+1=3/8

                                            OR

In general, we will find that the list resembles a particular row of the pascal's triangle.

If you want to know the probability of getting r heads (or tails) from n flips, it is the sum of the rth  elements in the n + 1 line. All elements of the series n+1.

\left[\begin{array}{ccc}N\\\\R\end{array}\right]/ 2ⁿ = \frac{n!}{r! * (n - r)!* 2^{n} }

n this case,

N =3andR= 2

   3!/ 2!×1! × 2³

= 6/ 2× 1 × 8

= 3/8

Learn more about Probability:

brainly.com/question/11234923

#SPJ4

5 0
1 year ago
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