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
Andrew [12]
3 years ago
6

Find the values of t6 and d for the arithmetic sequence with t6= 4 and t10= -4​

Mathematics
2 answers:
algol133 years ago
7 0

Answer:

t1 = 14  d= -2

Step-by-step explanation:

tn = t1 + d ( n-1)

t6 = t1 + d(6-1)

4 = t1+ 5d

t10 = t1 +d (10-1)

-4 = t1 +d9

Take the two equations and subtract to eliminate a1

4 = t1+ 5d

- (-4 = t1 +d9)

-------------------------

4 = t1+ 5d

+4 =- t1 -d9

-------------------------

8  =   -4d

Divide each side by -4

8/-4 = -4d/-4

-2 =d

Now we can find t1

4 = t1+ 5d

4 = t1 + 5(-2)

4 = t1 -10

Add 10 to each side

4+10 = t1

14 = t1

brilliants [131]3 years ago
6 0

Answer:

A

Step-by-step explanation:

t1 = a

tn = a + (n-1)d

t6 = a + 5d = 4

a = 4 - 5d

t10 = a + 9d = -4

4 - 5d + 9d = -4

-8 = 4d

d = -2

a = 4 - 5(-2)

= 4 + 10

= 14

You might be interested in
It takes 8 cups of chicken broth to make a chicken soup recipe. How much is this in quarts?
irakobra [83]
There are 4 cups per 1 quart...

4/1 × 2/2 = 8/2

There are 8 cups in 2 quarts.
7 0
3 years ago
Solve the system of equations <br><br> Y= -7x+3<br> Y= -x -3<br><br> What is X<br> What is Y
Len [333]
The answer is X = 1 and Y = -4.
7 0
2 years ago
What mathematical term describes both 5.3 and 8.2 in the expression 5.3x-8.2y+11.1?
kiruha [24]

Answer:

Step-by-step explanation:

Coefficients

5 0
3 years ago
You choose a marble at random from a bag containing 8 brown marbles 6 yellow marbles and one purple marble. You replace the marb
Andrej [43]
Pick 1: 6 yellow out of 15 total marbles = 6/15 = 2/5
Pick 2: 6 yellow out of 15 total marbles = 6/15 = 2/5

Pick 1 AND Pick 2
   2/5     x       2/5    = 4/25
5 0
3 years ago
(look at image) can i get help with these two?
serg [7]

Answer:

1. x = 2, AC = 30, AB - 4

2. y = 4, AB = 34, BC = 34

Step-by-step explanation:

1. AB + BC = AC so 26 + (10 - 3x) = 14x +2 and then add 3x to both sides and subtract 2 from both sides to get x on one side and an integer on the other side which is 34 = 17x and then divide 17 from both sides to get x = 2 and then substitute x into the AC and AB equations to find the values its equal to.

2. The symbol in the given means that the two lengths are congruent which means they are equal to each other so you put the two equations equal to each other and solve for y. 9y -2 = 14 + 5y, so subtract 5y from both sides and add two to both sides to get 4y = 16 and then divide both sides by 4 to get y = 4 and then substitute in the answer to find the lengths of AB and BC.

6 0
3 years ago
Other questions:
  • Tep 1: –10 + 8x &lt; 6x – 4 Step 2: –10 &lt; –2x – 4 Step 3: –6 &lt; –2x Step 4: ________
    8·1 answer
  • 2 divided by 1 6/7 in simplest form
    9·2 answers
  • What do you call it when someone pays back a loan quickly
    11·2 answers
  • What does 45 - 4x equal
    12·1 answer
  • 4 men and 6 women are ranked according to their scores on an exam. Assume that no two scores are alike, and that all 10! 10 ! po
    7·1 answer
  • What value of x makes this equation true? HELP ASAP PLZ PLZ PLZ PLZ
    14·2 answers
  • How to find the roots of 3x^3 + 11x^2 +5x-3
    12·1 answer
  • You want to buy a $59 xbox game. How much tax will you pay with 5.5% sales tax? asap besties &lt;3
    8·2 answers
  • I need help please ):
    14·1 answer
  • How can you show your work for 8800 divided by 4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!