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3 years ago

Point P has coordinates P(-3,5).

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

5 0

P starts at (-3,5)

Move to the right 2 units and you'll get to (-1,5). We add 2 to the x coordinate here.

Then shift the point up three units to get to (-1,8). We add 3 to the y coordinate.

Finally, reflect over the x axis to get the answer (-1, -8)

Note how the y coordinate flipped in sign but the x coordinate stays the same

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How many kilometers are in 765 yards? 1 yard = 3 feet 1 mile = 5,280 feet 1 kilometer = 0.621 miles

luda_lava [24]

Answer:

There are 0.70km in 765 yards.

Step-by-step explanation:

This is a problem of conversion of units, that can be solved by multiple rule of three's.

The first step is converting 765 yards to feet. We have that each yard has 3 feet, so

1 yard- 3 feet

765 yards - x feet

x = 765*3

x = 2295

So, in 765 yards there are 2295 feet.

Now, we have to convert 2295 feet to miles. Each mile has 5280 feet, so:

1 miles - 5280 feet

x miles - 2295 feet

5280x = 2295

x = 0.435 miles

So, in 765 yards there are 2295 feet which is 0.435 miles

Now, the final step is converting from miles to kilometers. Each km has 0.621 miles, so:

1km - 0.621 miles

xkm - 0.435 miles

0.621x = 0.435

x = 0.70km

So, there are 0.70km in 765 yards.

7 0

3 years ago

3 8<br> - ÷ - what is that<br> 4 9

Komok [63]

The answer would be:

Fraction: 27/32

Decimal: 0.84375

7 0

3 years ago

A. Show

nydimaria [60]

a. Recall the double angle identities:

$\sin^2x=\dfrac{1-\cos2x}2$

$\cos^2x=\dfrac{1+\cos2x}2$

Then

$\sin^2x\cos^2x=\dfrac{(1-\cos2x)(1+\cos2x)}4=\dfrac{1-\cos^22x}4$

Applying the identity again, we have

$\sin^2x\cos^2x=\dfrac{1-\frac{1+\cos4x}2}4=\dfrac{2-(1+\cos4x)}8=\dfrac{1-\cos4x}8$

as required.

b. Using the result from part (a),

$\sin^2x\cos^2x=\dfrac{1-\cos4x}8=\dfrac{2-\sqrt2}{16}$

$\implies\cos4x=\dfrac1{\sqrt2}$

$\implies4x=\dfrac\pi4+2n\pi\text{ or }4x=-\dfrac\pi4+2n\pi$

(where $n$ is any integer)

$\implies\boxed{x=\pm\dfrac\pi{16}+\dfrac{n\pi}2}$

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4 years ago

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ella [17]

-3/2 , -3/7 , 0.75 , 2 i'm pretty sure this is right!

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3 years ago

What is the slope of the line shown?

Papessa [141]

Answer:

The slope of the line shown is 2

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3 years ago