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Citrus2011 [14]
3 years ago
5

What is the volume of the walls of the igloo?

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
Volume= 2pie R^3
—————
3
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What is the y value of the vertex of the function f(x)=-(x-3)(x+11)
AnnyKZ [126]

Answer:

49

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

-x + 3

Which gives us:

(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

3 * x = 3x

3 * 11 = 33

-x² - 11x + 3x + 33

-x² - 8x + 33

The formula for finding the x coordinate of a vertex in a quadratic equation is:

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

Plug known variables in:

x = \frac{-(-8)}{2(-1)}

x = \frac{8}{-2}

x = -4

Now, to find the y coordinate, plug this variable back into the quadratic equation:

-x² - 8x + 33

y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\

y = 49

So the y coordinate of the vertex is 49.

Hope this helps!

4 0
3 years ago
Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 100
marissa [1.9K]

The mean is the average of the numbers.

It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Let the number of sit-ups you have to do Sunday be x. Then the sum of all sit-ups is

100+65+120+150+90+0+x=525+x.

The number of days is 7.

Thus, the mean is

\text{mean}=\dfrac{525+x}{7}.

You know that the mean number of sit-ups per day is 100, equate these two means and solve the equation:

\dfrac{525+x}{7}=100,\\ \\525+x=700,\\ \\x=700-525,\\ \\x=175.

Answer: 175 sit-ups

5 0
2 years ago
What is the range of the function y=3/x+8?<br> O -00 O -8 Oosy&lt;<br> 2sy
mestny [16]

Answer:

22

Step-by-step explanation:

7 0
3 years ago
The sum of 2fifteens and 10 fifteens​
Mkey [24]

Answer:4/5

Step-by-step explanation:

2/15 + 10/15=12/15=4/5

easy right?

5 0
3 years ago
Please help me asap im on timed homework please help
Murrr4er [49]

Answer:

x=111

Step-by-step explanation:

the sum of angles of triangle is 180

find te missing angle in the triangle first :

180-29-82=69

find x now: the measure of straight angle is 180:

x+69=180

x=180-69=111

this one way to find x

another way is that x=82+29=111

5 0
3 years ago
Read 2 more answers
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