which of the following steps were applied to ABCD to obtain A'B'C'D'?

A. shifted 3 units left and 2 units up
B. shifted 2 units left and 4 units up
C. shifted 2 units left and 3 units up
D. shifted 3 units left and 4 units up ​

Using a system of equations, it is found that the correct option is:

A) 1389x+1660y=787x+1121y.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:

A) 1389x+1660y=787x+1121y.

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Answer:

P=300cm

Step-by-step explanation:

P=4a=4.75×4=300cm

[tex]\green{ \underline { \boxed{ \sf{Perimeter \: of \:Square = 4 \times side }}}}[/tex]

Putting Values -

[tex]\begin{gathered}\\\implies\quad \sf Perimeter \:of \:Square = 4 \times 75 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Perimeter \: of \:Square = 300 sq. \:cm \\\end{gathered} [/tex]

>>Therefore, Perimeter of the Square is 300 sq. cm

Answer:

A.

Step-by-step explanation:

The reflexive property (of equality/of congruence) states that a number must always be equal to itself.

Because A is the only statement with an = sign, that's the answer.

Answer:

yes

Step-by-step explanation:

Given:

[tex]\frac{3}{9}[/tex] and [tex]\frac{1}{2}[/tex]

Finding a common denominator:

9 * 2 = 18

       -> If you need to stop here, a common denominator is 18.

Converting [tex]\frac{3}{9}[/tex]:

[tex]\frac{3}{9}[/tex] = [tex]\frac{3*2}{9*2}[/tex] = [tex]\frac{6}{18}[/tex]

Converting [tex]\frac{1}{2}[/tex]:

[tex]\frac{1}{2}[/tex] = [tex]\frac{1*9}{2*9}[/tex] = [tex]\frac{9}{18}[/tex]

       ->  [tex]\frac{6}{18}[/tex] and  [tex]\frac{9}{18}[/tex]

Answer:

£80

Step-by-step explanation:

larger ratio is 15 and smaller ratio is 1

15 + 1 = 16

£5×16=£80

Answer:

y= -x-3

Step-by-step explanation:

The situation IS NOT represented by the tape diagram.

The situation can be represented by the equation:

s + s + s + s + s + 6 = 106

5s + 6 = 106

5s = 106 - 6

5s = 100

s = 100/5

s = 20

Therefore, the amount Noah earned each time he walked the dog is $20

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Answer:

B

Step-by-step explanation:

because in general

(a + b)(a - b) = a² - b²

when the second term is negative, it has to be the product of a positive and a negative number.

positive × positive = positive

negative × negative = positive

Answer:

if you are solving for x, x= 4/3

Step-by-step explanation:

How to solve your problem:

1. Rearrange terms
2. Combine multiplied terms into a single fraction
3. Multiply by 1
4. Multiply all terms by the same value to eliminate fraction denominators
5. Cancel multiplied terms that are in the denominator
6. Multiply the numbers

7. Subtract 4 from both sides

8.Simplify

Answer:

X= 4/3

Hopes this helps! ^^

35% of 120 is :

120 x 0.35 = 42 $ profit

selling cost 120+42=162$

Answer:

82.8

Step-by-step explanation:

multiply the 2

1 2

6.9

9×2=18

9×1=9

10.8

72.0

____

82.8

Answer:

(This is not math)

Step-by-step explanation:

I think that dodgeball should be allowed un our school because it gets our legs moving and lets us extrasice and practice our swiftness

Answer: 615.44 m^3.

Step-by-step explanation: To find the volume of a cone, you need to multiply the radius, pi, and height.  The equation is given below:

π x r^2 x h = V, where π is pi, r is the radius squared, h is the height, and V is the volume.

Now, we need to substitute the values with the information that is given.  π ≈ 3.14:

3.14 x 7^2 x 12 ≈ 1846.32.

We are not finished yet!  A cone's volume is a third of a cylinder's, so you need to split 1846.32 in 1/3:

1/3 x 1846.32 ≈ 615.44 m^3.

Hope this helps! :)

Answer:

Yeah?

Step-by-step explanation:

dunno if this is and actual school related question but to me, yeah thats the only difference cuz the meaning of involuntary manslaughter is death thru recklessness/something close to that

Answer:

Step-by-step explanation:

If you are doing probability with replacement they will all be 1/6 each time.

total there is 6/6. If you draw a yellow card first it's 1/6 then replace it and draw a blue it is still 1/6. so you take those two probabilities and multiply them (1/6)*(1/6)=1/36 1*1=1 and 6*6=36.

Your answer is 1/36

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Hope that helps :)

Answer:

1

Step-by-step explanation:

Only 1 line can pass through two points.

Answer:

x=4.8

I think ur supposed to solve for x. Since the rectangles are similar, we can set a proportion for the sides

5/3 = 8/x (then just solve for x)

24=5x

4.8=x

Answer:

Step-by-step explanation:

x³+23x²+162x+360=0

x³+12x²+11x²+132x+30x+360=0

x²(x+12)+11x(x+12)+30(x+12)=0

(x+12)(x²+11x+30)=0

(x+12)[x²+6x+5x+30]=0

(x+12)[x(x+6)+5(x+6)]=0

(x+12)(x+6)(x+5)=0

x=-12,-6,-5

Answer:

66 degrees

Step-by-step explanation:

All three angles on any given triangle have a sum of 180 degrees.

We know that the measure of angle B is the the same as angle C.

So 57 +57 = 114

180 - 114 = 66

Hope that helps!

Answer:

68

this will be your maximum because of where the dot ends

Answer: The answer should be the 2nd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the volume formula of a right rectangular prism!

V=whl

Just plug the values in and throw them in your calculator.

w stands for width

h stands for height

l stands for length

Hope that helps. Since it is part of a quiz, I can't give you the answer, but I believe in you!

Answer:

bottom one

Step-by-step explanation:

use (x , y)

the top one is -3,2

the bottom one is 2,-3

This graph represents function of y = 3(x−2)²-3.

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

The vertex form of parabola :

y=a(x−h)²+k

(h,k)is the vertex of the parabola, and

Substitute vertex(2,-3), into equation

y = a(x−2)²-3

Substitute a = 3 into equation

y = 3(x−2)²-3

Here is a graph of the y = 3(x−2)²-3

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Answer:

Your answer is D, 11

Step-by-step explanation:

PEMDAS, first you divide, 21/3 is 7

7+8 is 15

15 - 4 is 11

Hope this helps! :)

Answer:

[tex]\boxed{\sf{11}}[/tex]

Step-by-step explanation:

Solving this problem requires an order of operations.

PEMDAS stands for:

First, divide.

[tex]\sf{21\div3+8-4}[/tex]

[tex]\sf{21\div3=7}[/tex]

Then rewrite the problem.

[tex]\sf{7+8-4}[/tex]

Add.

[tex]\sf{7+8=15}[/tex]

Subtract.

[tex]\sf{15-4=\boxed{\sf{11}}[/tex]

11

Therefore, the correct answer is 11.

I hope this helps you! Let me know if my answer is wrong or not.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:12 {x}^{2} - 36x = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:12 x({x}^{} - 3) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:12x = 0 \: \: or \: \: x - 3 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 0 \: \: or \: \: x = 3[/tex]

Therefore, the possible values of x are 0 and 3

Answer:

Units will be   # attendees  for the x axis

Units will be $   for the y axis

the graph should be y = 100 when x = 0   and then for each x increase of one the value of y will increase 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x be necromancers and y be wizards

if you know the amount of wizards and want to find the amount of necromancers. you just use y + 6

but if you know the amount of necromancers and want to find out the amount of wizards you just do x - 6

contact +2348021312463, he can help you

after approximately 137 minutes, there will be 10 bacteria remaining.

To find the time at which there will be 10 bacteria remaining, we can use the half-life model for exponential decay, which is given by:

N(t) = N₀ * [tex](1/2)^{(t / t_{half})[/tex]

where:

N(t) = the number of bacteria at time t

N₀ = the initial number of bacteria

t = time (in minutes)

t_half = the half-life of the bacteria

We are given that the initial number of bacteria (N₀) is 500 and after 17 minutes there are 150 bacteria (N(17) = 150).

Let's use this information to find the value of k (the decay constant):

150 = 500 * [tex](1/2)^{(17 / t_{half})[/tex]

Divide both sides by 500:

[tex](1/2)^{(17 / t_{half})[/tex] = 150 / 500

[tex](1/2)^{(17 / t_{half})[/tex] = 0.3

Now, we can write the equation as an exponent:

17 / t_half = log base (1/2) of 0.3

Using logarithms:

t_half = 17 / log base (1/2) of 0.3

Now, calculate t_half:

t_half = 17 / log base 2 of 0.3 ≈ 38.555

Now, we can find the time at which there will be 10 bacteria remaining (N(t) = 10):

10 = 500 * [tex](1/2)^{(t / 38.555)[/tex]

Divide both sides by 500:

[tex](1/2)^{(t / 38.555)[/tex] = 10 / 500

[tex](1/2)^{(t / 38.555)[/tex] = 0.02

Write the equation as an exponent:

t / 38.555 = log base (1/2) of 0.02

Using logarithms:

t = 38.555 * log base 2 of 0.02 ≈ 137.08

Rounding to the nearest whole number:

t ≈ 137

So, after approximately 137 minutes, there will be 10 bacteria remaining.

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