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3 years ago

Three numbers a;b; 9; ... are in geometric sequence. If 1 is subtracted from the first term then

Mathematics

1 answer:

kenny6666 [7]3 years ago

6 0

if a b 9 are in GP

b÷a = 9 ÷ b

b^2 = 9a

if a - 1 b 9 are in AP

2b = a+8

b = a+8÷2

substitute

b is equal to a + 8 by 2 in b square equal to 9 a

(a+8÷2)^2 = 9a

a^2+16a+64 = 36a

a^2 -20a +64 =0

(a-16) (a-4) =0

a= 16 or a=4

when a=16 b= 12

when a=4 b= 6

Value of a and b are given above

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A population of beetles are growing according to a linear growth model. The initial population (week 0) is p0=6 and the populati

wel

Answer:

P(n)= p0 + 11(n)

Where p0= population of week 0

P(n) = population of n weeks

n= number of weeks

Step-by-step explanation:

Population of beetles in Week 0= 6

Population of beetles in Week 7= 83

From week 0 to week 7 there are 8 weeks.

But subtracting population of week 0 from population of week 7 gives

= 83-6

= 77

After the subtraction, we have 7 weeks remaining.

Dividing the remaining population by the number of weeks remaining

=77/7

= 11

For n number of weeks, population p of beetles

P(n)= p0 + 11(n)

Where p0= population of week 0

P(n) = population of n weeks

n= number of weeks

3 0

3 years ago

What the answer to this equation be?

scoray [572]

If you expand the square, you have

$\dfrac{1}{4}x^2-3x=7x+8-10x$

Simplify the right hand side:

$\dfrac{1}{4}x^2-3x=-3x+8$

Cancel the -3x appearing on both sides:

$\dfrac{1}{4}x^2=8$

Multiply both sides by 4:

$x^2=32$

Consider the square root of both terms (using the doubles sign):

$x=\pm\sqrt{32}=\pm4\sqrt{2}$

5 0

3 years ago

In triangle KLM, if K is congruent to L, KL = 9x - 40, LM = 7x - 37, & KM = 3x + 23, find x & the measure of each angle.

timurjin [86]

This is hard to solve when we don't know the visual graph this question is trying to refer from

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3 years ago

Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the o

marin [14]

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

$M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Putting the values we get

$(2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})$

Putting respective elements equal

$\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1$

Hence,

The coordinates of other point are: (5,1)

8 0

2 years ago

What are the solutions of 64x^3 - 1 = 0 by factoring

fenix001 [56]

Answer:

x=1/4

Step-by-step explanation:

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2 years ago