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Butoxors [25]
2 years ago
10

I need help I’m stuck!

Mathematics
1 answer:
Natali5045456 [20]2 years ago
8 0

Part I: Complete the Square

y=-6x^2 + 36x-12\\ \\ y=-6(x^{2}-6x)-12\\\\ y=-6\left((x-3)^{2}-9 \right)-12\\\\y=-6(x-3)^{2}+54-12\\\\\boxed{y=-6(x-3)^{2}+42}

Part II: Graph of the function

See the attached image for the complete graph.

After completing the square, the equation of the quadratic is in vertex form, and so the vertex is at (3, 42).

Also, as the coefficient of x^2 is negative, the graph opens down.

Once you figure this out, find the coordinates of some other points on the graph and connect them in the shape of a parabola.

Part III: Line of symmetry

The axis of symmetry is the vertical line passing through the vertex. In this case, it is <u>x = 3</u>.

Part IV: Maximum/minimum value

The maximum/minimum value is the y-coordinate of the vertex. In this case, it is 42.

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Find the dimensions of an American football field. The length is 200 ft more than the width, and the perimeter is 1,040 ft. Find
natka813 [3]

Answer:

The width of the football field is 160 feet.

The length of the football field is 360 feet.

Step-by-step explanation:

Let w represent width of the football field.

We have been given that the length is 200 ft more than the width, so the length of the field would be w+200.

We are also told that the perimeter is 1,040 ft. We know that football field is in form of rectangle, so perimeter of field would be 1 times the sum of length and width. We can represent this information in an equation as:

2(w+w+200)=1040

Let us solve for w.

2(2w+200)=1040

4w+400=1040

4w+400-400=1040-400

4w=640

\frac{4w}{4}=\frac{640}{4}

w=160

Therefore, the width of the football field is 160 feet.

Upon substituting w=160 in expression w+200, we will get length of field as:

w+200\Rightarrow 160+200=360

Therefore, the length of the football field is 360 feet.

7 0
3 years ago
A new park was designed to contain two circular gardens. Garden A has a diameter of 50 meters and Garden B has a diameter of 70
rjkz [21]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Find next number of 32,1312,11131112,31133112
Ede4ka [16]

Answer:

The next number is 1321232112

Step-by-step explanation:

32 is read off as "one 3, one 2" = 1312

1312 is read off as "one 1, one 3, one 1, one 2" = 11131112

11131112 is read off as "three 1s, one 3, three 1s, one 2" = 31133112

31133112 is read off as "one 3, two 1s, two 3s, two 1s, one 2" = 1321232112

6 0
3 years ago
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NNADVOKAT [17]

Answer:

A

Step-by-step explanation:

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Hope this helps!

4 0
3 years ago
Read 2 more answers
If sinθ =4/5 , then cosθ = _____.
Simora [160]
Cosθ is 3/5 because the cosine is found from the adjacent side of the triangle being divided by the hypotenuse. The sine is found by putting the opposite side from θ over the hypotenuse. If you draw this triangle out, the side across from θ would be 4 and the hypotenuse 5. In order to find the opposite side, you could either solve with the pythagorean theorem (a^2+b^2= c^2) or you could remember the properties of a triangle, therefore the final side is 3. You then put the opposite, 3, over the hypotenuse,5, in order to get 3/5 for the cosθ.
6 0
3 years ago
Read 2 more answers
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