A point P(3, k) is first transformed by E¹[0, 2] and then by E²[0,3/2] so that the final image is (9, 12), find the value of k.​​

Answer:

A.

Step-by-step explanation:

4y = 12x + 16

3x = y - 4

=>

y = 3x + 4

using that in the first equation

4(3x+4) = 12x + 16

12x + 16 = 12x + 16

=> both lines/equations are identical, so they have infinitely many solutions.

Option B

Yes, because every value of x corresponds to exactly one y-value .

Answer:

step 1

3/4+5/4

step 2

dinominator is same so we have to put 4

step 3

3+5/4

step 4

7/4

answer is 7/4

Answer:

2

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] + [tex]\frac{5}{4}[/tex]

Since the denominators are common, both 4 then add the numerators leaving the denominator

= [tex]\frac{3+5}{4}[/tex]

= [tex]\frac{8}{4}[/tex]

= 2

Answer:

40

Step-by-step explanation:

A = base x height

8 is base

5 is height (the height has to be perpendicular to the base. That's what the little square denotes. Along with the angle being 90°.

A = 8 x 5

A = 40

Answer:your answer should be 2

Step-by-step explanation:

Answer:

9,6,8 but if you mean like all the numbers its infinite because you can add decimals and the number will never end

To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.

Answer: 1st one and last one

Step-by-step explanation:

Answer:

0 zero

Step-by-step explanation:

you must find gf(x) first

g[ f(x) ] = g [ 2 + 1 ]

= 3-2+x which is you sub fx tu g

g [ f (-1) ] = 3-2-1

=0

Answer:

(6x-7y)(6x-7y).

Step-by-step explanation:

.

Answer:  

36x² - 84xy + 49y² =

6²x² - 2 (6x) (7y) + 7²y² =

(6x - 7y) ²

Answer.

(6x - 7y) ²

Answer:

√65

Step-by-step explanation:

The distance formula can be represented as

[tex]\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}[/tex]

Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have

[tex]\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}[/tex]

as our answer

Given:

[tex]u=(-1,4)[/tex]

[tex]v=(3,-2)[/tex]

The equation is:

[tex]t=u+v[/tex]

To find:

The ordered pair to represent t in the given equation.

Solution:

We have,

[tex]t=u+v[/tex]

Substituting the given values, we get

[tex]t=(-1,4)+(3,-2)[/tex]

[tex]t=((-1)+3,4+(-2))[/tex]

[tex]t=(-1+3,4-2)[/tex]

[tex]t=(2,2)[/tex]

Therefore, the ordered pair to represent t in the given equation is (2,2).

Answer:

49

Step-by-step explanation:

The probability of choosing a red marble is equal to the number of red marbles over the number of total marbles there are.

Therefore, let the number of red marbles be [tex]x[/tex].

We have the following equation:

[tex]\frac{x}{84}=\frac{7}{12}[/tex]

Cross-multiplying, we get:

[tex]12x=7\cdot 84,\\x=\frac{84\cdot 7}{12},\\x=\boxed{49}[/tex]

Therefore, there are 49 red marbles in the bag.

Answer: Personally I would do option "B" 2 1/3 because it sounds right.

Answer:

ewan ask mo kay ma'am para alam mo po

Answer:

8 more players

Step-by-step explanation:

There are already 4 players including Jeff, so in order to have more players, they need from 1-8 more players.

Have a good day!!!!

Answer:

c = (E/m)^1/2

Step-by-step explanation:

Here, we want to solve for c in the given equation

what we have here is that;

E = m•c^2

Thus;

c^2 = E/m

So we have

c^2(*1/2) = (E/m)^1/2

c = (E/m)^1/2

Answer:

Systematic Sampling

Step-by-step explanation:

According to the Question,

So, systematic sampling is right Answer.

Answer:

Systematic Sampling

Step-by-step explanation:

What type of sampling did the daycare operator use Systematic Sampling.

Answer:

option e

Step-by-step explanation:

It should be arranged in table form

Row ------> Classes

Column  -----> Courses

                     Sophomores           Juniors          Seniors

Biology                 110                        60                 20

Chemistry              50                        140               85

Physics                    17                         70                107

Answer:

"85.7%" is the right answer.

Step-by-step explanation:

According to the question,

The total capacity of water tank will be:

⇒ [tex]v_1=A\times 14[/tex]

The total volume of water will be:

⇒ [tex]v_2=A\times 12[/tex]

Now,

The percentage of total capacity will be:

= [tex]\frac{100\times v_2}{v_1}[/tex]

= [tex]\frac{v_2}{v_1}\times 100[/tex]

By putting the values, we get

= [tex]\frac{A\times 12}{A\times 14}\times 100[/tex]

= [tex]85.7[/tex]%

Answer:

A, 0.13 mph.

Step-by-step explanation:

To get that, divide the cm/sec by 44.704.

6/44.704 ≈ 0.13

We have l = 20 * 20 * 20 = 8000 cm3

One cube will have l = 5 * 5 * 5 = 125 cm3

-> The maximum number of cubes that need to use to fill the container with water is 8000 / 125 = 64

Answer:

Expected value =0.9

Standard deviation = 0.4359

Step-by-step explanation:

Let's use the formula to find expected value or mean.

Expected value =Σ x *P(x)

  x    0    1     2

P(x) ) .15  .8  .05

So, expected value = (0)(0.15) +1(0.8)+2(0.05)

                                = 0 +0.8 +0.1

                                =0.9

Expected value =0.9

Now, let's find standard deviation

x           [tex](x- E(x))^{2}[/tex]         [tex](x-E(x))^{2} *p(x)[/tex]

0           [tex](0-0.9)^{2}[/tex]            [tex](0-0.9)^{2} *0.15[/tex]  =0.1215

1            [tex](1-0.9)^{2}[/tex]            [tex](1-0.9)^{2} *0.8[/tex]    =0.008

2           [tex](2-0.9)^{2}[/tex]             [tex](2-0.9)^{2} *0.05[/tex]  =0.0605

Now, add the last column together and then take square root to find standard deviation.

Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]

Simplify it, so standard deviation =0.4358898...

Round the answer to nearest four decimal places

Standard deviation = 0.4359

[tex]\displaystyle\ S=Vt=> V=\frac{S}{t }[/tex]        in our case, S is d(h) ; and t is t (x), then                      [tex]\displaystyle\ V=\frac{d(x)}{t(h)}=\bigg(\frac{d}{t} \bigg )(h)=\frac{6h^2-h-1}{2h-1} =\frac{2h^2-h+4h^2-1}{2h-1} =\\\\\\\\\frac{h\underline{(2h-1)}+\underline{(2h-1)}(2h+1)}{2h-1} =\frac{(3h+1)(2h-1)}{2h-1} =\boxed{3h+1}\\\\\\Answer: \boxed{V=3h+1}[/tex]                                      

Answer:

Step-by-step explanation:

Let's call the number x. The statement "...2 times a number" if the number is x looks like this:

2x

"8 less than" that looks like this:

... - 8

Putting the whole thing together:

2x - 8

Answer:

[tex]y=5x-12[/tex]

Step-by-step explanation:

This is in slope-intercept form, [tex]y=mx+b[/tex] where [tex]m[/tex] stands for the slope and [tex]b[/tex] stands for the y-intercept.

Hope this is helpful.

Step-by-step explanation:

equation of the line is given by the equation

y=mx+c

in this question you are given the slope (m) as 5 and the y intercept (c) as -12

therefore the equation will be

y=5x+(-12)

y=5x-12

Answer:

the 4th option

Step-by-step explanation:

the 4th one

Answer:

D. 2.99x + 12.99y = 43.92

Step-by-step explanation:

1 pair of socks costs $2.99

x pairs of socks cost 2.99x

1 blouse costs $12.99

y blouses cost 12.99y

The total cost is the sum of the two costs

2.99x + 12.99y

We are told the total cost is $43.92

2.99x + 12.99y = 43.92

Answer: D. 2.99x + 12.99y = 43.92

Answer:

The helicopter costs 54 dollars and 9% of 54 is 4.86.

Step-by-step explanation:

9% of what number = 4.86

... is equivalent to:

9% × ? = 4.86

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

- Percent (%) means 'out of one hundred'-

(100 × 4.86) ÷ 9 =

486 ÷ 9 =

54

Answer:

use system of equations

Step-by-step explanation:

Set one up for the Smith family and one for the Jones family