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Misha Larkins [42]
2 years ago
12

. Find the sum of the first 20 terms of the arithmetic sequence 27, 22, 17, ....

Mathematics
1 answer:
valkas [14]2 years ago
8 0

Answer:

Step-by-step explanation:

a = 27

n = 20

d = -5

L20 = 27 + (n - 1)*d

L20 = 27 + (20-1)*_5

L20 = 27 + 19*-5

L20 = -68

Sum = (a + L)*n/2

Sum = (27 - 68)*20/2

Sum = -41 * 10

Sum = - 410

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Simplify 6x + 8 / 4x + 4
Mars2501 [29]

(6x + 8) / (4x + 4)
(3x +4)   2(x  1)

2(3x + 4)  4(x +1) 
3 0
3 years ago
2x+3y+2=0<br> 2x+y=-1<br> Want answer
ch4aika [34]

The value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The two linear equations:

2x+3y+2=0

2x+y=-1

Solving by elimination method.

2x + 3y = -2

2x + y = -1

Subtract the equation first to second:

2y = -1

y = -1/2

Plug the above value in the equation second:

2x - 1/2 = -1

2x = -1 + 1/2

2x = -1/2

x = -1/4

Thus, the value of the x and y are -1/4 and -1/2 if the system of equations are 2x + 3y = -2 and 2x + y = -1.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

7 0
1 year ago
2.8t+5.7t= answer plsss
Arte-miy333 [17]

Answer:7.15t

Step-by-step explanation:

You have to add 2.8t plus 5.7t together

6 0
3 years ago
Read 2 more answers
In a circle of diameter 30 cm a chord of 10cm is drawn. To 2 decimal places, how far is the chord from the center of the circle?
Romashka-Z-Leto [24]

<u>Given:</u>

The circle has a diameter of 30 cm and a chord of 10 cm is drawn.

Radius of the circle = 15 cm

Half of the chord = 5 cm

We need to determine the distance of chord from the center of the circle.

<u>Distance of chord from the center of the circle:</u>

Let us use the Pythagorean theorem, to find the distance between the center and the chord.

Let d denote the distance between the center and the chord of the circle.

Thus, we get;

15^2=d^2+5^2

225=d^2+25

200=d^2

Taking square root on both sides, we get;

14.14=d

Thus, the distance between the center and the chord of the circle is 14.14 cm.

Hence, Option A is the correct answer.

4 0
3 years ago
it says "use the given information to write an equation for each line" but I don't understand what to do, please help.
Gwar [14]
USe the points and slope to write in y=mx+b!
7 0
3 years ago
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