1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Illusion [34]
3 years ago
7

A2 = -8 and a5 = -512 Find a10

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Answer:

The value of a₁₀ is -1352

Step-by-step explanation:

a₂ = -8

a₅ = -512

Now,

a₂ = -8 can be written as

a + d = -8 ...(1) and

a₅ = -512 can be written as

a + 4d = -512 ...(2)

Now, from equation (2) we get,

a + 4d = - 512

a + d + 3d = - 512

(-8) + 3d = - 512 (.°. <u>a + d = </u><u>-8</u><u>)</u>

3d = - 512 + 8

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + d = -8

a + (-168) = -8

a - 168 = -8

a = 168 - 8

a = 160

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 160 + 9(-168)

a₁₀ = 160 - 1512

a₁₀ = -1352

Thus, The value of a₁₀ is -1352

<u>-TheUnknownScientist</u>

You might be interested in
8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let D(5, 7) = (x_2, y_2)

C(?, ?) = (x_1, y_1)

M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})

Rewrite the equation to find the coordinates of C

2 = \frac{x_1 + 5}{2} and 4 = \frac{y_1 + 7}{2}

Solve for each:

2 = \frac{x_1 + 5}{2}

2*2 = \frac{x_1 + 5}{2}*2

4 = x_1 + 5

4 - 5 = x_1 + 5 - 5

-1 = x_1

x_1 = -1

4 = \frac{y_1 + 7}{2}

4*2 = \frac{y_1 + 7}{2}*2

8 = y_1 + 7

8 - 7 = y_1 + 7 - 7

1 = y_1

y_1 = 1

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let A(-2, -9) = (x_2, y_2)

B(?, ?) = (x_1, y_1)

M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})

-4 = \frac{x_1 - 2}{2} and -5 = \frac{y_1 - 9}{2}

Solve for each:

-4 = \frac{x_1 - 2}{2}

-4*2 = \frac{x_1 - 2}{2}*2

-8 = x_1 - 2

-8 + 2 = x_1 - 2 + 2

-6 = x_1

x_1 = -6

-5 = \frac{y_1 - 9}{2}

-5*2 = \frac{y_1 - 9}{2}*2

-10 = y_1 - 9

-10 + 9 = y_1 - 9 + 9

-1 = y_1

y_1 = -1

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0
4 years ago
Refer to the figure below to complete the following problem.
IRINA_888 [86]

Answer:

38

Step-by-step explanation:

5x-7=3x+ll

5x=3x+18

2x/2=18/2

x    =9

5 x 9 -7 = 36

3 x 9 + 11=36

m D =36

3 0
3 years ago
Will mark brainli if you give explanation
dmitriy555 [2]

Answer:

960 ft²

Since you are doing volume, your multiplication sentence would look like

Length * Width * Height

Now, if you multiply 10 * 8 * 12, your answer will be 960 ft²

5 0
3 years ago
Read 2 more answers
Evaluate 7 + (-3x^2) For x = 0<br><br>A. -2<br>B. 0<br>C. 4<br>D. 7​
Goryan [66]

Answer:  D. 7

Step-by-step explanation:

The problem tells you that x = 0 so replace everything that is x in the equation with 0 so the problem becomes

7 + (-3(0)^2)

Now we just solve the problem normally.

solve the problem in the parenthesis first, we must multiply -3 times 0^2 is 0

so now our problem is 7 + 0 which is 7

8 0
3 years ago
Round the number to one decimal place. 67.638
valkas [14]

jjoheisjivownydnofkioo

6 0
3 years ago
Read 2 more answers
Other questions:
  • If the radius of a circle is increased by a factor of 3, how will the area of the object be affected?
    6·1 answer
  • How do you round the numbers 33 and 89 to estimate there sum
    5·1 answer
  • In a​ circle, a 225 degrees sector has area 490pi in2. What is the radius of the​ circle?
    12·1 answer
  • May someone please help! BTW im new to brainly! Both questions please!!!
    11·1 answer
  • Sele
    12·1 answer
  • Lmk.................
    13·1 answer
  • Teresa has made 124 bags of treats. Each person was able to take 2 bags home. If there were 40 people, how many extra bags were
    10·2 answers
  • Read the question and answer. Ignore the c please, its incorrect.
    11·1 answer
  • Jamal is a door to door vacuum salesman. His weekly salary, S , is $250 plus $50 for each vacuum he sells. This can be written a
    9·1 answer
  • Help me solve for x<br><br>​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!