Fill in the blanks in the following proof, which shows that the sequence defined by the recurrence relation

P1=(-1,3) and P2=(5,-1) <br><br> Find the distance from p1 to P2

LenaWriter [7]

Answer:

7.21

Step-by-step explanation:

Given that:

P1=(-1,3) and P2=(5,-1)

Distance between two points :

d = Sqrt[(x2 - x1)² + (y2 - y1)²]

x1 = - 1 ; y1 = 3

x2 = 5 ; y2 = - 1

d = Sqrt[(5 - (-1))² + ((-1) - 3)²]

d = Sqrt[(5 + 1)² + (-1 - 3)²]

d = sqrt[(6)^2 + (-4)^2]

d = sqrt(36 + 16)

d = sqrt(52)

d = 7.21

3 0

3 years ago

Which calculation could not be used to find the percentage change

bogdanovich [222]

Answer:

Option (B).

Step-by-step explanation:

Percentage change between two numbers a and b can be calculated by the formula,

% change = $\frac{|b-a|}{a}\times 100$

Where, (b - a) = Change in values

a = Initial value

If a = 16 and b = 20

Percentage change between 16 and 20 will be,

= $(\frac{20-16}{16})\times 100$

= $\frac{4}{16}\times 100$

= 25%

If a = 20 and b = 16,

Percentage change = $\frac{|16-20|}{20}\times 100$

= 20%

Therefore, %change between 16 and 24 may be 16% or 20%.

Option (A),

$\frac{20-16}{16}\times 100$ = 25%

Option (B),

$\frac{20}{16}-1\times 100$ = 1.25 - 1 × 100

= 1.25 - 100

= -98.75%

Option (C),

$100\times \frac{1}{4}$ = 25%

Option (D),

$\frac{(20-16)}{20}\times 100$ = 20%

Therefore, we can not use the calculation used in Option (B).

6 0

3 years ago

Jordan has $275.00 in his bank account the bank will pay jordan 4% interest per year on the value of hois account if jordan does

Sunny_sXe [5.5K]

Answer:

$\$286.00$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=1\ years\\ P=\$275.00\\r=4\%=4/100=0.04$

substitute in the formula above

$A=275.00(1+0.04*1)$

$A=275.00(1.04)$

$A=\$286.00$

8 0

3 years ago

I bought a box from the post office that has a volume of 24 cubic centimeters.

babunello [35]

The complete question in the attached figure

we know that
[volume of the box]=L*W*H
volume=24 cm³

case A) 10 cm long 4 cm wide and 10 cm hight
volume=10*4*10-----> volume=400 cm³
400 cm³ is not 24 cm³

case B) 2 cm long 2 cm wide and 6 cm high
volume=2*2*6-----> volume=24 cm³
24 cm³ is equal to 24 cm³----> could be the dimensions of the box

case C) 8 cm long 3 cm wide and 1 cm high
volume=8*3*1-----> volume=24 cm³
24 cm³ is equal to 24 cm³------> could be the dimensions of the box

the answer is
case B) 2 cm long 2 cm wide and 6 cm high
case C) 8 cm long 3 cm wide and 1 cm high