the rectangle with a side of length 12cm has a diagonal of 15cm. what is the perimeter of the rectangle?

Answer:

Step-by-step explanation:

given A(-1, 2), B(-3, 4), C(-2, 5)

after translating by (4, 4)

points are A(-1 + 4, 2 + 4),  B(-3 + 4, 4 + 4), C(-2 + 4, 5 + 4)

A(3, 6), B(1, 8), C(2, 9)

to rotate 90° counter clockwise (x, y) ----> (-y, x)

now it is rotated around point A(3, 6).That means A remains same and we need to find new coordinates of B and C.  To find B and C let us make origin as A and find B ,C coordinates from it.

B'(1 - 3, 8 - 6) = (-2, 2)

C'(2 - 3, 9 - 6) = (-1, 3)

now it becomes (-y, x)

B'(-2, -2)

C'(-3, -1)

now we have to move origin from (3,6) to (0,0) again.

so B'(-2 + 3, -2 + 6) = (1, 4)

C'(-3 + 3 , -1 + 6) = (0, 5)

now reflection over y axis means (x, y) --> (-x, y)

A'(-3, 6)

B'(-1, 4)

C'(0, 5)

it is different from the options

but this is the process, tell me if you find any step different from the question

see the figure below

Answer:

A)

6x - y = 8

3x + 2y = 9

(Graph is attached for you⤴⤴⤴)

Step-by-step explanation:

Line m ordered pairs = (-4,-32), (2,4),

(5, 22)

Line n ordered pairs = (-5,12), (1,3), (5,-3)

Use this formula⤵⤵⤵

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

For line m, we'll use (2,4) and (5,22):

22 - 4 = 18

5 - 2 = 3

18 ÷ 3 = 6

Slope of line m = 6

For line n, we'll use (1,3) and (5,-3):

-3 - 3 = -6

5 - 1 = 4

Slope of line n = -6/4 or -3/2

We'll turn all the options to slope-intercept form, so we can tell which has the slopes we need.

A) - Subtract 6x on both sides to get

-y = -6x + 8, then flip all the signs to get y = 6x - 8.

- Subtract 3x on both sides to get 2y = -3x + 9, then divide 2 on both sides to get y = -3/2 x + 9/2.

B)

- Subtract 6x on both sides to get

y = -6x - 8.

- Subtract 3x on both sides to get

-2y = -3x + 9, then divide -2 on both sides to get y = -3/2 x - 9/2.

C)

- Add 6x on both sides to get -y = 6x - 8, then flip all signs to get y = -6x + 8.

- Add 3x on both sides to get 2y = 3x + 9, then divide 2 on both sides to get

y = 3/2 x + 9/2.

D)

- Subtract 6x on both sides to get

-y = -6x - 8, then flip all signs to get

y = 6x + 8.

- Add 3x on both sides to get -2y = 3x + 9, then divide -2 on both sides to get

y = -3/2 x - 9/2.

Hope this helps :)

Answer:

55

Step-by-step explanation:

You multiply 5 on both sides of the ratio, and you get 40 children : 15 adults. Adding that up, you would get 55 people.

Answer:

Step-by-step explanation:

Write and solve an equation of ratios.  The given ratio is 8:3.  The number of children is 40 and that of adults is 40 - c.  Note that c + (40 - c) = 40.

Solve the following equation of ratios for c:         8        40

                                                                               ---- = ----------

                                                                                3          a

Cross multiplying, we get 8a = 120, of 15.  Then a = number of adults = 24.

Here a = 15 and c = 40.  Check the ratio 40/15; does it equal 8/3?  YES

The total number of people at the pool is 40 + 24, or 64

D. x>1 or x<7

all the others don't fit

Answer:

yes the ratio are equivalent

Answer:

yes

Step-by-step explanation:

4 + 3 = 7

6 + 3 = 9

Answer:

g(x) = (x - 1)³

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here g(x) is the graph of f(x) shifted 1 unit to the right , then

g(x) = (x - 1)³

Answer:

kikjnknj

Step-by-step explanation:

Answer:

34.62

Step-by-step explanation:

5 bags of dog food = 18.75

1 bags of dog food = 18.75 / 5 = 5.77

6 bags of dog food

= 6 x 5.77

= 34.62

Answer:

the answer is 22.50$ dollars for 6 bags of dog food.

5 = 6

------ -----

18.75 x

6/5 = 1.2

18.75 x 1.2 = 22.5

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Lines B and C are perpendicular lines, as can be seen from the right angle they've formed.

Part A.)

12.1 / 2.2 = 5.5

So, the elevation of Winston's house is 5.5 times greater than the elevation of the ocean at 2 p.m.

Part B.)

My apologies if any of the following equations is not the right number, I had looked up the equation for the right number.

12.1 x 3.5 = 42.35

So the elevation of Tammy's house is 42.35.

Part C.)

42.35 / 2.2 = 19.25

the elevation of Tammy's house is 19.25 times greater than the elevation of the ocean.

Part D.)

Had to look for the number again. Next time, could you possibly make sure that all of the numbers are here? It makes it a lot easier.

-2.5 x 20.2 = -50.5

Winston reached an elevation of -50.5 feet.

Part E.)

-50.5 / 2 = -25.25

He had stopped at -25.25.

Again, my apologies if some numbers are incorrect. You did not give them, so I went looking for them.

Answer:

y=mx+c.................

Answer:

hot dog= $2.25

juice= $1.50

Step-by-step explanation:

Let the price of a hot dog be $H and that of a juice be $J.

H +J= 3.75 -----(1)

2H +3J= 9 -----(2)

(1) ×2:

2H +2J= 7.5 -----(3)

(2) -(3):

2H +3J -(2H +2J)= 9 -7.5

Expand:

2H +3J -2H -2J= 1.5

J= 1.5

Substitute J= 1.5 into (1):

H +1.5= 3.75

H= 3.75 -1.5

H= 2.25

∴ The price of a hot dog and a juice is $2.25 and $1.50 respectively.

Slope:

M = -1

Slope intercept-form:

y = -x + 1

Answer:

DB = 82

Step-by-step explanation:

3x + 8 + 4x + 10 = 8x

7x + 18 = 8x

18 = 8x - 7x

18 = x

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

DB: 4x + 10

4 (18) + 10 = 82

Answer:

317 is the finally awnser

Answer:

what is it

Step-by-step explanation:

Answer:

C: 16 is a constant

B:3

A: 4

Answer: C: 16 is a constant

B:3

A: 4

Step-by-step explanation:

Answer:

Buy the first car you see.

Step-by-step explanation:

Answer:

2/3 +2/3 = 5/0 THAT'S THE ASSWER

Adjacent angles will be same

[tex]\\ \sf\longmapsto <N=<P[/tex]

[tex]\\ \sf\longmapsto 6y=8y-16[/tex]

[tex]\\ \sf\longmapsto 8y-6y=16[/tex]

[tex]\\ \sf\longmapsto 2y=16[/tex]

[tex]\\ \sf\longmapsto y=8[/tex]

Answer:

[tex]y = 8[/tex]

Step-by-step explanation:

If two sides of a triangle is equal the opposite interior angles are also equal.

Therefore,

[tex]6y = 8y - 16 \\ 16 = 8y - 6y \\ 16 = 2y \\ \frac{16}{2} = \frac{2y}{2} \\ 8 \degree = y[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer: 51/41

Step-by-step explanation:

5

6

÷

41

6

=  

5

6

×

6

41

=  

5 × 6

6 × 41=

30

24=  

30 ÷ 6

246 ÷ 6

=  

5

41

Answer:

$55

Step-by-step explanation:

$36.30 * 3 weeks = $108.90

$108.90 - $53.90 = $55.00

Answer:

around 5 books

Step-by-step explanation:

hope this helpsss :D

Answer:

B

Step-by-step explanation: