All categories

2 years ago

M is the midpoint of the segment below. Find AM.

Mathematics

1 answer:

Snezhnost [94]2 years ago

6 0

Xshissooshdospwpwmz mlspapqla

You might be interested in

Solve the differential. This was in the 2016 VCE Specialist Maths Paper 1 and i'm a bit stuck

Nimfa-mama [501]

$\sqrt{2 - x^{2}} \cdot \frac{dy}{dx} = \frac{1}{2 - y}$
$\frac{dy}{dx} = \frac{1}{(2 - y)\sqrt{2 - x^{2}}}$

Now, isolate the variables, so you can integrate.
$(2 - y)dy = \frac{dx}{\sqrt{2 - x^{2}}}$
$\int (2 - y)\,dy = \int\frac{dx}{\sqrt{2 - x^{2}}}$
$2y - \frac{y^{2}}{2} = sin^{-1}\frac{x}{\sqrt{2}} + \frac{1}{2}C$

$4y - y^{2} = 2sin^{-1}\frac{x}{\sqrt{2}} + C$
$y^{2} - 4y = -2sin^{-1}\frac{x}{\sqrt{2}} - C$
$(y - 2)^{2} - 4 = -2sin^{-1}\frac{x}{\sqrt{2}} - C$
$(y - 2)^{2} = 4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C$

$y - 2 = \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}$
$y = 2 \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}$

At x = 1, y = 0.
$0 = 2 \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}$
$-2 = \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}$

$4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C > 0$
$\therefore 2 = \sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}$

$4 = 4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C$
$0 = -2sin^{-1}\frac{1}{\sqrt{2}} - C$
$C = -2sin^{-1}\frac{1}{\sqrt{2}} = -2\frac{\pi}{4}$
$C = -\frac{\pi}{2}$

$\therefore y = 2 - \sqrt{4 + \frac{\pi}{2} - 2sin^{-1}\frac{x}{\sqrt{2}}}$

6 0

3 years ago

For brainiest:):):):):):):):):)

Bond [772]

Answer: $7,488

Step-by-step explanation:

For answer B:

The formula for the new balance would be A=P(1 + r)t

A = new balance

P = principal balance -> $900

r = rate (in decimal form)

t = time in years -> 8 years

To find the rate, convert 4% to decimal

4/100 = 0.04

A=P(1+ r)t

A=900(1+0.04)8

A=900(1.04)8

A=$7,488

5 0

3 years ago

Read 2 more answers

1What is 1-1(0)-55+67

saveliy_v [14]

Answer:

Step-by-step explanation:

Questions with multiple signs are solved using the rule of BODMAS. Which means, Bracket Of Division, Multiplication, Addition and Subtraction.

In the question, we have Bracket, Addition and Subtraction, and will be answered in that order

1-1(0)-55+67

1-0-55+67

1-0+(-55+67)

1-0+(12)

1+12

7 0

3 years ago

Find the mean of the data: 14, 9, 2, 13, 16, 3, 13, 10

svp [43]

<span>14+ 9 + 2+ 13+ 16+3+ 13+ 10 = 80
80/8 = 10

answer
mean = 10

</span>

7 0

3 years ago

A used car is priced at $5250. If the price is dropped to $4500, what is the percent of change in the price of the car? Round yo

saw5 [17]

85.7%
4500/5250=.857
move decimal 2 places to the right to convert a decimal to a percentage

8 0

3 years ago

Read 2 more answers