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hodyreva [135]
3 years ago
12

Choose the equation below that represents the line passing through the point -3,-1 with the slope of four

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

y+1 = 4(x+3)

Step-by-step explanation:

To write the equation of a line use the point slope form by substituting m = 4 and the point (-3,-1).

y - y_1 =m(x-x_1)\\y --1 = 4(x--3)\\y+1 = 4(x+3)

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A castle is surrounded by a circular moat which is 5 m wide
Elanso [62]

Answer:

  1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

  moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0
1 year ago
Find the absolute maximum value for the function f(x) = x^2 − 4, on the interval [–3, 0) U (0, 2].
Andreyy89

Answer:

5

Step-by-step explanation:

The function y=x^2 -4 is

  • decreasing for all x\in [-3,0);
  • is increasing for all x\in (0,2]

(see attached diagram for details).

The maximum value of the function is at endpoints -3 or 2. find y(-3) and y(2):

y(-3)=(-3)^2-4=9-4=5\\ \\y(2)=4^2-4=0

So, the maximum value is 5.

5 0
3 years ago
Name and describe all the angles in the drawing below
rjkz [21]
Acute is a angle of some sort I believe.
7 0
3 years ago
What is an irrational number
Mademuasel [1]

Answer:

Some numbers cannot be written as a ratio of two integers

Step-by-step explanation:

7 0
3 years ago
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8 1/20 is a fraction in simplest form

805% as a precentage



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3 years ago
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