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3 years ago

Which system of inequalities is represented by the graph? A) A B) B C) C D) D

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

5 0

Answer:

Step-by-step explanation:

It is not A or B because the line is not dotted.

It is not B or D because y should be greater than x

So it is C

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Deion practiced piano for 5/6 hour on Saturday. On Sunday,practiced 1/2 as long as on Saturday. Which best describes how long De

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I think the answer would be D

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The initial water level of a darn is 35 meters and decreases at a rate of 0.7 meters per day.

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3 years ago

Question 1 Which triangle is NOT similar to the other three?

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Answer: i think its c

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Determine the equation of the circle graphed below. ( please help me )

Brums [2.3K]

Answer:

$Equation : \\(x+3)^2 + ( y -2)^2 = 36$

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: Find the centre

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

$Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) = (-3, 2)$

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : Find radius

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

$Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\$

$= \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12$

Therefore ,

$Radius = \frac{12}{2} = 6$

Step 3 : Equation of the circle

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

$(x - h)^2+(y -k)^2 = r^2$

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

$(x - (-3))^2 + (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36$

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3 years ago

Match each binomial expression with the set of coefficients of the terms obtained by expanding the expression.

user100 [1]

explanation:

(A) $(2x+y)^3=8 x^3 + 12 x^2 y + 6 x y^2 + y^3$

Answer option C) 8, 12, 6, 1

B) $(2x+3y)^4 = 16 x^4 + 96 x^3 y + 216 x^2 y^2 + 216 x y^3 + 81 y^4$

Answer option D) 16, 96, 216, 216, 81

C) $(3x+2y)^3 = 27 x^3 + 54 x^2 y + 36 x y^2 + 8 y^3$

Answer option B) 27, 54, 36, 8

D) $(x+y)^4 = x^4 + 4 x^3 y + 6 x^2 y^2 + 4 x y^3 + y^4$

Answer option A) 1, 4, 6, 4, 1

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