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Zinaida [17]
3 years ago
8

Suppose you know a certain parabola has a vertex of (2, 1) and a y-intercept of 4. By symmetry, you can conclude that the parabo

la contains which of the following points?
a) (4,4)
b) (-2,4)
c) (-2,1)
d) (4,1)
Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

We are given a parabola with a vertex point of (2, 1) and a <em>y-</em>intercept of <em>y</em> = 4.

And we want to determine another point on the parabola.

Recall that a parabola is symmetric along the axis of symmetry, which is the <em>x-</em>coordinate of the vertex.

Note that since the <em>y-</em>intercept of the parabola is <em>y</em> = 4, this means that a point on our parabola is (0, 4).

To get from (2, 1) to (0, 4), we move two units left and three units up.

Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).

Our answer is A.

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Wewaii [24]

Solution :

2a + 2b = 7    ...1)

4a + 3b = 12   ...2)

In equation, 1)

a = (7 - 2b)/2   ...3)

Putting value of a in equation 2) we get :

4 × (7 - 2b)/2  + 3b = 12

2( 7 - 2b ) + 3b = 12

14 - 4b + 3b = 12

b = 2

Putting value of b in 3) we get :

a = ( 7 - 2×2)/2

a = 3/2 = 1.5

Now,

2x - 3y = 16   ...5)

x + 2y = -6    ...6)

x = -6 - 2y

Putting above value of x in eq 5) , we get :

2( -6 - 2y ) - 3y = 16

-12 - 4y - 3y = 16

7y = -28

y = -4

x = -6 - ( 2× -4 )

x = 2

Hence, this is the required solution.

6 0
3 years ago
Please solve for me it's urgent. A rectangle has 10 and 6cm each. find the area of a square with the same perimeter as that of t
elena55 [62]

Answer:

64 cm²

Step-by-step explanation:

Firstly,let us lay down the clues;

So, we have been given the Length and Width of the rectangle.

Rectangle;

<em>Length</em><em>=</em><em> </em><em>10</em><em> </em><em>cm</em>

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We know that

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Perimeter= 10+10+6+6

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In the questionnaire, it is mentioned that a square has the same perimeter as the rectangle. That means, the perimeter of the square is similar to the one of the rectangle which is 32 cm.

So,

Perimeter of square =32 cm

Length of one side of the square =32÷4

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Hope it helps.

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creativ13 [48]

Answer:

Y= 2x+10

Step-by-step explanation:

(-2, 6), (-1, 8), (0, 10), (1, 12), (2, 14)

You add 2 every time

6 0
2 years ago
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posledela

Answer:

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