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amm1812
3 years ago
15

What are the measurements rounded to the nearest hundredth.

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

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consider the graph of the following qudratic equation. y= -x^2 -10x + 24.What is the y-value of the vertex?
3241004551 [841]

Given that the quadratic equation is y=-x^{2}-10 x+24

We need to determine the y - value of the vertex.

<u>The x - value of the vertex:</u>

The x - value of the vertex can be determined using the formula,

x=-\frac{b}{2 a}

where a=-1, b=-10, c=24

Substituting these values, we get;

x=-\frac{(-10)}{2(-1)}

Simplifying the terms, we get;

x=-\frac{-10}{-2}

x=-5

Thus, the x - value of the vertex is -5.

<u>The y - value of the vertex:</u>

The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation y=-x^{2}-10 x+24

Thus, we get;

y=-(-5)^{2}-10(-5)+24

Simplifying the values, we have;

y=-25+50+24

y=49

Thus, the y - value of the vertex is 49.

8 0
2 years ago
5&lt;b-3. whats the answer????
9966 [12]

Answer:

5<b-3

Add 3 on both sides

8<b

The variable will always go on the left side of the equation. To flip the equation, you must also flip the less than sign to a greater than sign.

b>8

Hope I helped!

8 0
3 years ago
Read 2 more answers
Find the difference of g(x) and j(x).
andrew-mc [135]
To find the answer, subtract j(x) from g(x):

g(x) - j(x)

Plug in the expressions that each function is equal to:

(x^2 - 2x + 11) - (-x^3 - 4x^2 + 5)

Distribute the negative, get rid of parentheses:

x^2 - 2x + 11 + x^3 + 4x^2 - 5

Combine like terms:

x^3 + 5x^2 - 2x + 6
6 0
3 years ago
Please help me with this.
kompoz [17]

Answer:

75\sqrt{2}(\sqrt{3}-1)

Step-by-step explanation:

In every right triangle, a leg is given by the multiplication of the sine of its opposite angle and the hypothenuse.

In this case, the opposite angle of x is 15°, and the hypothenuse is 300. So, we have

x = 300\sin(15) = 75\sqrt{2}(\sqrt{3}-1)

3 0
3 years ago
Three members of a 5 - person committee must be chosen to form a subcommittee. How many different subcommittees could be formed?
kenny6666 [7]

Answer:i have no idea

Step-by-step explanation:

4 0
3 years ago
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