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choli [55]
3 years ago
12

Y=-x^2-10x+24 What is the y value of the vertex?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

Answer:

Step-by-step explanation:

1.) Get the equation in the form y = ax^2 + bx + c.

2.) Calculate -b / 2a. This is the x-coordinate of the vertex.

3.) To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

1.) y = -x^2 - 10x + 24

2.) -(-10) / 2(-1) = -5

3.) y = -(-5)^2 - 10(-5) + 24

    y = -25 + 50 + 24

    y = 49

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alukav5142 [94]

Answer:

1350 grains

Step-by-step explanation:

Since he needs 450 grains for 6 people, he would need three times that for three times the amount of people.

Therefore, for 6\cdot3=18 people, he would need 450\cdot3=1350 grains.

8 0
2 years ago
A blimp provides aerial tv views of a soccer game. The camera sights the stadium at a 7 degree angle of depression. The altitude
maria [59]

Given that,

The camera sights the stadium at a 7 degree angle of depression.

The altitude of the blimp i slide 300 m.

To find,

The line of sight distance from the camera to the stadium.

Solution,

If we consider a right angled triangle. Let x is its hypotenuse i.e. the line of sight distance from the camera to the stadium. Using trigonometry :

\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\=\dfrac{300}{\sin7}\\\\=2461.65\ m

So, the line of sight is at a distance of 2461.65 m from the camera to the stadium.

6 0
2 years ago
Find the area of a polygon with the given vertices A(2,2) B(5,2) C(3,-1) D(0,-1)<br><br> Number 21
Bogdan [553]

Answer:

Je pense que je ne sais pas vraiment

6 0
3 years ago
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Gnoma [55]

There would be 12 people at the party!

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

Hope this helps!

3 0
2 years ago
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F(x)=
muminat

Answer:

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Step-by-step explanation:

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