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3 years ago

The third term of an arithmetic sequence is -8, and the fourth term is -20. What is the second term?

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

5 0

Answer:

the answer is 6

Step-by-step explanation:

In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. so -20 + 14 is -8 so you just have to add 14 again to -8 to get 6

may I get brainliest please?

hope this helps :)

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Complete the point slope equation of the line through (-5, 7) and (-4, 0).

IgorLugansk [536]

For this case we have that by definition, the point-slope equation of a line is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points:

$(x_ {1}, y_ {1}): (- 5,7)\\(x_ {2}, y_ {2}): (- 4,0)$

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-7} {- 4 - (- 5)} = \frac {-7} {-4 + 5} = \frac {-7} {1} = - 7$

Thus, the equation is of the form:

$y = -7x + b$

We substitute one of the points and find "b":

$0 = -7 (-4) + b\\0 = 28 + b\\b = -28$

Finally, the equation is:

$y = -7x-28$

Answer:

$y = -7x-28$

5 0

3 years ago

If you have two horse pastures, one is. 25 feet by 45 feet and the other is 40 feet by 60 feet, what is the perimeter of the two

svp [43]

One field is 25 + 45 + 25 + 45 = 140 feet
Second field is 40 + 60 + 40 + 60 = 200 feet.
Therefore, all together, the two fields are 340 feet in perimeter together

5 0

3 years ago

Determine the kinetic energy of a 100-kg roller coaster car that is moving with a speed of 20.0/ms.

rjkz [21]

Answer:

The kinetic energy is 20,000\ J

Step-by-step explanation:

The kinetic energy of a body is defined as:

$k = \frac{1}{2}ms ^ 2$

Where m is the mass of the roller coaster car

s is the speed and k is the kinetic energy

We know that $s = 20\ m/s$

$m = 100\ kg$

Then the kinetic energy of the roller coaster car is:

$k = \frac{1}{2}(100)(20) ^ 2\\\\k = 50(20) ^ 2\\\\k = 50 * 400\\\\k = 20,000\ J$

3 0

3 years ago

What is A number divided by 82

lara [203]

Answer:

Hey there, Lets solve this step by step.

A number t divided by 82

Let the number be represented by y.

t divided by 82 = t / 8

Therefore-

In algebraic expressions, "y" is normally used as the dependent variable and "x" is normally used as the independent variable, instead of other variables. So that is why i used the variable y in the equation.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Identify the volume and surface area of the hemisphere in terms of π. HELP ASAP!!

posledela

Answer:

Step-by-step explanation:

Use the formula for the SA of a hemisphere.

$SA=2\pi r^2$

Now we can find the radius of the hemisphere, which is 15.

Then, we can square that and multiply it by 2 to get 450.

Now, let's use the formula for the Volume of a hemisphere.

$V=\frac{2\pi r^3}{3}$

Now we can cube 15 and multiply it by 2 to get 6750.

Then we can divide this number by 3.

2250.

So the answer is D.

4 0

3 years ago