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Veseljchak [2.6K]
3 years ago
6

What is the first term of an AP whose common difference is 2 and 31st term begin -88

Mathematics
2 answers:
castortr0y [4]3 years ago
4 0

Answer:

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

a_{n = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

lisabon 2012 [21]3 years ago
3 0

 

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

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55x^2 + 62y^2 + 38 − 63x^2 + 8<br> Combine like terms
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3 years ago
a stand was selling 8 mangos for $10 at a farmers market. Keisha said,"that means we can write the ratio 10:8 or $1.25 per mango
andrey2020 [161]

Answer:

  • Keisha  is right.
  • No, only 1 ratio works

Step-by-step explanation:

  • You want the units to be dollars / mango.
  • You have 10 dollars. How many mangos can you buy and at what price. They are selling mangoes for more than a dollar each.
  • The answer should be $1.25 per mango. Think of it this way:
  • If the cost of a mango was $1.00 you would be able to get 10 of them. Do you agree? Since you can only get 8, they must be more than a dollar each.
  • The ratio can only be written in one way. 10/8 = 1.25

Answer

  • Keisha  is right.
  • No, only 1 ratio works
5 0
4 years ago
Which is the value of the expression?<br><br> (-5)2<br> a. -25<br> b. -10<br> c. 10<br> d. 25
Ymorist [56]

Step-by-step explanation:

option d is correct

as the exponent is even so the required ans. will be positive.

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8 0
3 years ago
Read 2 more answers
Find the equation in terms of x of the line through the points (-4,-6) and (1,9)
Annette [7]

Answer:

y = 3x + 6

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - (-6) / 1 - (-4)

15/5

= 3

y = 3x + b

9 = 3(1) + b

9 = 3 + b

6 = b

4 0
3 years ago
If anyone knows this I will give them brainiest
statuscvo [17]

Answer:

x = 12

m(QS) = 52°

m(PD) = 152°

Step-by-step explanation:

Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)

Thus:

m<R = ½[m(PD) - m(QS)]

50° = ½[(12x + 8) - (4x + 4)] => substitution

Solve for x

Multiply both sides by 2

2*50 = (12x + 8) - (4x + 4)

100 = (12x + 8) - (4x + 4)

100 = 12x + 8 - 4x - 4 (distributive property)

Add like terms

100 = 8x + 4

100 - 4 = 8x

96 = 8x

96/8 = x

12 = x

x = 12

✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°

✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°

3 0
3 years ago
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