All categories

3 years ago

Point b has the points (5 -2) is rotated 180 about the origin, its image has coordinates

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

When rotating a point 180 degrees about the origin, you are simply inverting the points.

(5, -2) rotated 180 degrees results in (-5, 2).

You might be interested in

Find the area of the parallelogram.

vodka [1.7K]

Answer:

264 ft²

Step-by-step explanation:

The right triangle shown at the right end of the figure has a missing leg that can be found using the Pythagorean theorem. (If you recognize the triangle as a 5-12-13 triangle, you already know its length is 12 ft.)

a² +b² = c²

5² + b² = 13²

b² = 169 -25 = 144

b = √144 = 12

So, the height of the parallelogram is 12 ft, and its base length is 22 ft. The area is the product of these ...

A = bh = (22 ft)(12 ft) = 264 ft²

4 0

4 years ago

A sand wedge normally costs $65.00. It is on sale for 20% off the regular price. What is the discount of the sand wedge? A) $15.

mina [271]

Answer:

Step-by-step explanation:

20% of 65 is 13

65-13=52

5 0

3 years ago

Read 2 more answers

Help me plz in which situation would it be better to use a ctedit card instedad of cash ?

Umnica [9.8K]

I think i'd be purchasing gasoline

5 0

3 years ago

-13=r/9+8 <br> I suck at maths so if anyone could help with this problem it will help thank you!

otez555 [7]

Answer:

r = -189

Step-by-step explanation:

Let's make it easy,

-13=r/9+8

r/9 = -13-8

r/9 = -21

r = -21 × 9

r = -189

5 0

3 years ago

1/3 x− 1/8 y=3 <br> 7y+9x=−2<br> please solve the system <br> 45 points for who does

photoshop1234 [79]

Answer:

$x=6\\y=-8$

Step-by-step explanation:

$\frac{1}{3}x-\frac{1}{8}y=3\\ 7y+9x=-2$

One method could be rewriting the second equation as x in terms of y and solving by replacing in the first equation.

$7y+9x=-2\\9x=-2-7y\\x=\frac{-7y-2}{9}$

Replace...

$\frac{1}{3}x-\frac{1}{8}y=3$

$\frac{1}{3}(\frac{-7y-2}{9})-\frac{1}{8}y=3$

$\frac{-7y-2}{27}-\frac{1}{8}y=3$

$-\frac{7}{27}y-\frac{2}{27}-\frac{1}{8}y=3$

add $\frac{2}{27}$ on both sides.

$-\frac{7}{27}y-\frac{1}{8}y=3+\frac{2}{27}$

Combine like terms

$\frac{(-7)(8)-(1)(27)}{(27)(8)} y=\frac{(3)(27)+2}{27}$

$\frac{-56-27}{216} y=\frac{81+2}{27}$

$\frac{-83}{216}y =\frac{83}{27}$

Now, to get rid of the fraction and isolate y, multiply by the reciprocal or the inverted fraction.

$(\frac{216}{-83}) \frac{-83}{216}y =\frac{83}{27}(\frac{216}{-83})$

$y=\frac{216}{-27}$

Simplify

$y=-8$

Now replace the value of y in either equation to find x.

$7y+9x=-2\\7(-8)+9x=-2\\-56+9x=-2$

add 56

$56-56+9x=-2+56\\9x=54\\$

Divide by 9

$\frac{9x}{9}=\frac{54}{9}\\ x=6$

To check whether these values are accurate, replace in either equation both values and you should have an equality. In this case I'll do it in both equations.

$\frac{1}{3}x-\frac{1}{8}y=3$

$\frac{1}{3}(6)-\frac{1}{8}(-8)=3$

$2-(-1)=3\\2+1=3\\3=3$

-----------------------------------------------------------------

$7y+9x=-2\\7(-8)+9(6)=-2\\-56+54=-2\\-2=-2$

7 0

3 years ago