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1 year ago

Express the perimeter of the following

Mathematics

1 answer:

sammy [17]1 year ago

8 0

The perimeter would be

2(3n - 7) + 2(n + 5)

6n - 14 + 2n + 10

Simplify

8n - 4

So the answer would be C

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Find the mean of the data.<br><br> 9, 56, 24, 59, 2

timurjin [86]

Answer:

24 because it is the middle number

Step-by-step explanation:

5 0

1 year ago

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

Anastasy [175]

Answer:

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

Step-by-step explanation:

An equation in the vertex form is written as

$y = a (x-h) + k$

Where the point (h, k) is the vertex of the equation.

For an equation in the form $ax ^ 2 + bx + c$ the x coordinate of the vertex is defined as

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

In this case we have the equation $y = 9x^2 + 9x - 1$ .

Where

$a = 9\\\\b = 9\\\\c = -1$

Then the x coordinate of the vertex is:

$x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}$

The y coordinate of the vertex is replacing the value of $x = -\frac{1}{2}$ in the function

$y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}$

Then the vertex is:

$(-\frac{1}{2}, -\frac{13}{4})$

Therefore The encuacion excrita in the form of vertice is:

$y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

To find the coefficient a we substitute a point that belongs to the function $y = 9x^2 + 9x - 1$

The point (0, -1) belongs to the function. Thus.

$-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}$

$-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9$

<em>Then the written function in the form of vertice is</em>

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

7 0

2 years ago

The total surface area of a cube is 600

schepotkina [342]

Answer:

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces.

600 / 6 = 100

10 x 10 = 100

7 0

2 years ago

Questions and answers are below plz help ASAP (As Soon As Possible) Reward for helping is to be brainlyest and 15 pts

Alenkasestr [34]

So what are you trying to answer ?

6 0

2 years ago

Your friend rolled a number cube and got number 5. On his next turn he says he won’t be able to get another 5 because his chance

Sophie [7]

Answer:

he can still get a 5 but he is equally likely to get any other number 1 to 6

Step-by-step explanation:

he has a 1/6 chance of rolling 5 the first turn and it becomes more and more rare to roll lots of 5s in a row

1/6

1/36

1/216

etc

each time the denominator is multiplied by 6 because it is less likely he will roll a 5 so many times in a row

8 0

1 year ago