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Hatshy [7]
2 years ago
11

37. The sum of first three terms in an arithmetic progression is 24 and the sum of their squares is 224. Find the first three te

rms of this arithmetic progression.
​
Mathematics
1 answer:
Airida [17]2 years ago
8 0

Answer:

12, 8, and 4

Step-by-step explanation:

  • Given

a + d + a + a - d = 24

3a = 24   ⇒  [ a = 8 ]  

and (a + d)² + a² + (a - d)² = 224

3a² + 2d² = 224

2d² = 224 - 192 = 32

d² = 16

[ d = ±4 ]

∴ The first three terms to A.P are

a + d = 8 + 4 = 12

a  -  = 8

a - d = 8 - 4 = 4

∴ Three terms are 12 , 8, and 4

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HELP ME PLEASE BRAINIEST IF CORRECT BEEN STUCK ON THIS FOR HOURS AND THIS IS DUE AT 11:59pm and it is 11:46pm!!!!
Natasha2012 [34]

Here's the Answer :

  • A. linear equation

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for every linear equation value is 4 and for a non - linear equation value is 12

so, let's solve for the code :

  • \dfrac{12(4+4)+12(12+4-4)}{4}

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8 0
3 years ago
Read 2 more answers
In a zoo, there are 5 times as many monkeys as there are bears, and the number of bears is 2 fewer than the number of elephants.
HACTEHA [7]

m = 5b

b = e - 2

e = 6


first, solve for the number of bears by replacing e with 6.

b = 6 - 2

b = 4


now do the same for the monkeys.

m = 5b

m = 5(4)

m = 20


check the answer if you wish. the zoo has 20 monkeys.

8 0
4 years ago
Find the solution of<br>​
Elina [12.6K]

Answer:

f = - 324

Step-by-step explanation:

Given

\frac{f}{2} = - 162

Multiply both sides by 2 to clear the fraction

f = 2 × - 162 = - 324

8 0
4 years ago
Solve the following:<br> 0 = 5x - 5x
Karo-lina-s [1.5K]

Answer: If we are Solving for X, then the answer would be, 0.

Step-by-step explanation: Both of the X's cancel each other out which then makes it 5 - 5 = 0, or, 0 = 5 - 5.

I hope this helped!

7 0
3 years ago
A line segment BK is an angle bisector of ΔABC. A line KM intersects side BC such, that BM = MK. Prove: KM ∥ AB.
weqwewe [10]

Answer:

∠BKM= ∠ABK

Therefore AB ║KM (∵ ∠BKM= ∠ABK  and lies between AB and KM and BK is the transversal line)

m∠MBK ≅ m∠BKM (Angles opposite to equal side of ΔBMK are equal)

Step-by-step explanation:

Given: BK is an angle bisector of Δ ABC. and line KM intersect BC such that, BM = MK

TO prove: KM ║AB

Now, As given in figure 1,

In Δ ABC, ∠ABK = ∠KBC (∵ BK is angle bisector)

Now in Δ BMK, ∠MBK = ∠BKM (∵ BM = MK and angles opposite to equal sides of a triangle are equal.)

Now ∵ ∠MBK = ∠BKM

and  ∠ABK = ∠KBM

∴ ∠BKM= ∠ABK

Therefore AB ║KM (∵ ∠BKM= ∠ABK and BK is the transversal line)

Hence proved.  

8 0
4 years ago
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