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3 years ago

2. f(x) = 3(x - 2)2 + 6a. Standard Form:

Mathematics

1 answer:

Alexandra [31]3 years ago

6 0

Answer:

${3x}^{2} - 4x + 10 = 0$

Step-by-step explanation:

$3(x - 2) {}^{2} + 6 \\ 3 \times x {}^{2} - 4x + {2}^{2} + 6 \\ 3x {}^{2} - 4x + 4 + 6 \\ {3x}^{2} - 4x + 10 = 0$

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LenaWriter [7]

Answer:

Option 4, 64 cm^2

Step-by-step explanation:

The polygon in the shape of a star can be made to be easier to find the area of by cutting it into triangle. For all the "point edges" of the star, we can cut them in half from the vertex to create two right-angled triangles at each edge.

The formula of the area of a triangle is bh/2: the height is given as 6cm, the base is 4cm /2 (after you cut it in half) and so is 2 cm. Since the edges can be cut into two, there are 8 right angled triangles at the edges in total.

To find the area of them:

A=8(bh/2)=8(2*6/2)=48 cm^2

However, we are still missing the part at the centre we haven't found the area of, the square. The area of a square is given by the square of the side length(4cm). Thus, A=4*4=16cm^2

Adding the areas of all the edges and the square:

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3 years ago

Read 2 more answers

The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.

Alecsey [184]

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

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Option (C) will be the answer.

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3 years ago

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Dmitrij [34]

Answer:

<M = <S

Step-by-step explanation:

If ΔMNO ≅ Δ SQR then

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3 years ago

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40%less You take 36/60 That equals 60% This means that 36 is 60% of 60 So in 24 is 40% of 60 or 36 is 40% less than 60

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3 years ago

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Katarina [22]

Well lets see. You have a total of 52 marbles. So all you would have to do would be to find the percent of 52 out of 60. This sounds confusing and I may not be completely right but I hope you give it a shot!

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3 years ago

2. f(x) = 3(x - 2)2 + 6a. Standard Form:​

2. f(x) = 3(x - 2)2 + 6a. Standard Form: