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xz_007 [3.2K]
3 years ago
11

Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1,5).

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

Step-by-step explanation:

y=a(x-0)(x-2)

=a(x^2-2x)

=a(x^2-2x+1-1)

or y=a(x-1)^2-a

(1,5) lies on it.

5=a(1-1)^2-a

5=0-a

or a=-5

so y=-5(x-1)^2+5

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A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?
Sladkaya [172]

Answer:

36 tiles

Step-by-step explanation:

Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:

81 = x²

So to find x, we must square root both sides of the equation:

\sqrt{81} = \sqrt{x^2}

x = 9

So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:

9 * 4 = 36

So there are 36 tiles along the edge of the room.

Hope this helps!

4 0
3 years ago
PLZ help me this is hard
Assoli18 [71]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
Lauryn has128 marbles. kristin has 118 marble. who has more marbles?
Vlad1618 [11]
Lauryn has more marbles because 128 is greater than 118
6 0
2 years ago
Read 2 more answers
Find the Sine of angle A<br> 8/17<br> 8/15<br> 15/8<br> 15/17
Vlad [161]

Given:

In triangle ABC, AB = 30, BC = 16, AC = 34 and measure of angle B is 90 degrees.

To find:

The value of Sine of angle A.

Solution:

In a right angle triangle,

\sin\theta=\dfrac{Perpendicular}{Hypotenuse}

In the given triangle ABC,

\sin A=\dfrac{BC}{AC}

\sin A=\dfrac{16}{34}

\sin A=\dfrac{8}{27}

Therefore, the correct option is A.

7 0
3 years ago
What is the image of the point (-7, 4) after a rotation of 180° counterclockwise about the origin?​
tia_tia [17]

Answer: (7, -4)

Concept:

For each rotation angle, there is a specified rule that could be applied. Please refer to the attachment below for the list of rotation rules.

Solve:

Given point = (-7, 4)

Given rotation rule = (x , y) ⇒ (-x, -y)

(-7, 4) ⇒ (7, -4)

Hope this helps!! :)

Please let me know if you have any questions

7 0
2 years ago
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