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GREYUIT [131]
3 years ago
15

Find the value of p and the value of q

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0

Answer:

p = 5 and q = -3

Step-by-step explanation:

nth term = pn^2 + qn   where n is the sequence number.

first term = p + q = 2.....................(1)

2nd term = p(2)^2 + 2n = 14

4p + 2q = 14

2p + q = 7  .......................(2)

Subtract equations  (2) -(1) :-

p = 7 - 2 = 5

and q = 2 - 5 = -3

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neonofarm [45]
The hypothenuse is the opposite side of the right angle

so that means that in this triangle the hypotenuse is 7
3 0
3 years ago
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What are the coordinates of the midpoint of GH with endpoints (-2,5) and<br> H(4,1)?
kozerog [31]

Answer:

(1, 3)

Step-by-step explanation:

Given coordinates of 2 endpoints, G(-2, 5) and H(4, 1), midpoint of AB is calculated as shown below:

Midpoint (M) of GH, for G(-2, 5) and H(4, 1) is given as:

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let G(-2, 5) = (x_1, y_1)

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Thus:

M(\frac{-2 + 4}{2}, \frac{5 + 1}{2})

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M(1, 3)

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6 0
3 years ago
Help me please<br> Idk what to do
Ber [7]

Answer:

x=36

Step-by-step explanation:

First rewrite equation then multiply each side by 36. 9x-36=4x+144.

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4 0
3 years ago
The total simple interest on $1600 invested for five years is $224. What is the percentage rate per annum?
mash [69]

Answer:

The percentage rate per annum is 2.8%

Step-by-step explanation:

We need to multiply the principal by the time, then divide the interest by the product of P×T, so:

1,600 × 5 = 8,000

224 ÷ 8,000 = 0.028

Then we convert our final product to a percentage.

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2 years ago
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4 is less than 5 is less than 12
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