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zepelin [54]
3 years ago
7

X to the 2nd + 8x + 12 equals 0

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

x^2 + 8x + 12 = 0

(x + 2)(x + 6)

x + 2=0    x + 6=0

x= -2,-6

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What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
Arisa [49]

Answer:

1608.5 cm³

Step-by-step explanation:

Use the cylinder volume formula, V = \pir²h

If the diameter is 16 cm, then the radius is 8 cm.

Plug in the radius and height into the formula, and solve:

V = \pir²h

V = \pi(8)²(8)

V = \pi(64)(8)

V = 1608.5

So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³

6 0
3 years ago
The school auditorium has 80 rows of seats. There are 50 seats in each row. What is the total number of seats in the chhool audi
Snezhnost [94]
The number of rows = 80

number of seats in 1 row = 50

total number of seats is the product of the number of rows and number of seats per row = 80*50 = 4000
6 0
3 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Alekssandra [29.7K]

In the given figure we can determine the coordinate of point M from the graph, we get:

M=(\frac{d}{2},\frac{c}{2})

We can also determine the coordinates of point N as:

N=(\frac{a+b}{2},\frac{c}{2})

Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:

MN=\frac{a+b}{2}-\frac{d}{2}

Subtracting the fractions we get:

MN=\frac{a+b-d}{2}

Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.

The coordinates of A are determined from the graph:

A=(0,0)

The coordinates of B are:

B=(a,0)

Therefore, the length of segment AB is:

AB=a

Now we do the same procedure to determine the segment of CD. The coordinates of C are:

C=(b,c)

The coordinates of D are:

D=(d,c)

Therefore, CD is:

CD=b-d

Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:

MN=\frac{1}{2}(a+b-d)

Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.

8 0
1 year ago
John earns $25 per hour as a part-time firefighter. If John works 30 hours per week, how much does he earn that week?
Tanzania [10]

Answer: $750

Step-by-step explanation:

So we know that he earns $25 per hour, and we want to know how much he earns if he worked for 30 hours which is a week.

25=1

?=30

then we can cross multiply which is

\frac{25(30)}{1}=750

so the answer is John earns $750 a week.

8 0
3 years ago
Mia currently has 10 email subscribers to her blog and gains an average of 10 new subscribers per day. Julie currently has 100 e
user100 [1]

Answer:

Equations:

<u>Mia: 10 + 10x = y</u>

<u>Julie: 100 - 5x = y</u>

Solved: <u>(6, 70)</u>

Step-by-step explanation:

Mia: 10 + 10x = y

She already has 10 (<u>10</u>) and gains 10 (<u>+10</u>) per day (<u>x</u>). Total is y gained.

Julie: 100 - 5x = y

She already has 100 (<u>100</u>) and loses 5 (<u>-5</u>) per day (<u>x</u>). Total is y gained.

Then I simply solve

10 + 10x = y

100 - 5x = y

Resulting in (6, 70)

6 0
3 years ago
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