MATHEMATICS HIGH SCHOOL

2/3 divided 3/8 HELP !!!

Answers

Answer 1

Answer:

Answer:

16/9 or 1 7/9

Step-by-step explanation:

2/3 ÷ 3/8

2/3 * 8/3

16/9

Best of Luck!

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A curve is traced by a point P(x, y) which moves such that its distance from the point A(-1,1) is three times its distance from the point B(2,-1). Determine the equation of the curve.

Answers

Answer:

$8x^2+8y^2+43-38x+20y=0$

Step-by-step explanation:

Let $A\left ( x_1,y_1 \right )$ and $B\left ( x_2,y_2 \right )$ be two points then distance AB is equal to $AB=√(\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2)$

Here, a curve is traced by a point $P(x,y)$ which moves such that its distance from the point $A(-1,1)$ is three times its distance from the point $B(2,-1)$ i.e $AP=3BP$

Using distance formula,

$AP=√((-1-x)^2+(1-y)^2)$

$BP=√((2-x)^2+(-1-y)^2)$

$AP=3BP\n√((-1-x)^2+(1-y)^2)=3√((2-x)^2+(-1-y)^2)$

On squaring both sides, we get

$(-1-x)^2+(1-y)^2=9\left [ (2-x)^2+(-1-y)^2 \right ]\n1+x^2+2x+1+y^2-2y=9\left ( 4 +x^2-4x+1+y^2+2y\right )\n1+x^2+2x+1+y^2-2y=36+9x^2-36x+9+9y^2+18y\n8x^2+8y^2+43-38x+20y=0$

So, equation of curve is $8x^2+8y^2+43-38x+20y=0$

On each of Maggie's bird-watching trips, she has seen at least 24 birds. If she has taken 4 0f these trips each year over the past 16 years, at least how many birds has maggie seen

Answers

24 birds per year for 4 years for the past 16 years would be 24 x 4 x 16 = 1,536

At least 1,536 birds

16 years is unneeded information. So 24 birds*4 trips= 96 birds over the past 16 years

3) Dori created a 2 letter code to get into her waterproof iPad. She only used the letters ABC and D because she was afraid she might forget the combination. Well, Dori forgot anyway and now wants to make a list of all possible combinations so she can get back in A Make a list of all the possible 2 letter codes.

Answers

Answer:

AA, AD, AC, AB (or flipped)

BB, BD, BC, BA (or flipped)

CD, CA, CB, CC (or flipped)

DA, DC, DD, DB (or flipped)

Step-by-step explanation:

Which counterexample shows that the conjecture "all mammals live on land" is false?

Answers

Answer:

B. A whale is a mammal that does not live on land.

Step-by-step explanation:

Self explanitory

What is the smallest division of a cm ruler and a mm ruler? Thank you.

Answers

around 0.1 cm ( or, 1 mm), which is the distance between the smallest divisions.
hope it helps

The smallest visible division is a milimeter.

What is the value of x in the equation 3x – 1/9y = 18, when y = 27?1

Answers

3x-3=18
3x=18+3
3x=21
x=7

Answer:

positive 7

Step-by-step explanation:

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