On a coordinate plane, point B(–6, 1) is translated to B prime(–3, –2). Indira uses these steps to find a rule to describe the translation.

Step 1 Substitute the original coordinates and the translated coordinates into (x, y) right-arrow (x + a, y + b):

B (negative 6, 1) right-arrow B prime (negative 6 + a, 1 + b) = B prime (negative 3, negative 2)

Step 2
Write two equations:
Negative 6 + a = negative 2. 1 + b = negative 3.

Step 3
Solve each equation:
Negative 6 + a = negative 2. a = negative 2 + 6. a = 4. 1 + b = 3. b = negative 3 minus 1. b = negative 4.

Step 4
Write the translation rule:
(x, y) right-arrow (x + 4, y minus 4)

Which corrects Indira’s first error?
Indira should have substituted B (negative 6, 1) right-arrow B prime (negative 3 + a, negative 2 + b) = B prime (negative 6, 1) in Step 1.
Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.
Indira should have solved the equations to find that a = negative 8 and b = negative 2 in Step 3.
Indira should have written the translation rule (x, y) right-arrow (x minus 4, y + 4) in Step 4.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Some people usually convert fractions into decimals by DIVIDING}\\\large\text{the TOP number) by the DENOMINATOR (the BOTTOM number)}.[/tex]

[tex]\large\text{Here is an EXAMPLE of what I meant!}[/tex]

[tex]\large\text{Fraction: }\mathsf{\dfrac{5}{6}}[/tex]

[tex]\large\text{Equation: } \mathsf{5\div6}[/tex]

[tex]\large\text{Answer: } \mathsf{0.833333}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

bcd

Step-by-step explanation:

They are two parallel lines, having the same slope, there is no solution since the lines never cross

Answer:

3rd answer

Step-by-step explanation:

its the 3rd answer trust me on it

Answer:

19,792.0mm³

Step-by-step explanation:

π×radius²×height

π×15²×28=19792.03372 rounded to 1dp would ne

19,792.0mm³

the diameter is 30, which is also the base divide by two which makes 15 which will be your radius of your circle.

Answer: 6 cm

Step-by-step explanation:

Let's take the equation for the area of a right triangle

[tex]A=\frac{a*b}{2}\\\\A=\frac{3*4}{2} \\\\A=\frac{12}{2}\\\\A=6cm[/tex]

Answer:

x=2 and y=−1

Step-by-step explanation:

Let's solve your system by substitution.

4x+3y=5;2y=x−4

brainliest please?

Answer:

The answer to the system of equations is x = 2 and y = -1

Step-by-step explanation:

We can substitute the variables and see how they work with the equations.

2 (-1) = (2) - 4

-2 = 2 - 4

-2 = -2

4 (2) + 3 (-1) = 5

8 + (-3) = 5

8 - 3 = 5

5 = 5

Hope This Helps!

Answer:

13x^2+4x-1

Step-by-step explanation:

Answer:

y = -2x - 1

Step-by-step explanation:

If you already know the slope. Just find out the y-intercept. Plug the coordinates into the equation.

y = mx + b

y = -2x + b

1 = -2(1) + b

1 = -2 + b

-1 = b

The number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Given that:

Assume that:

Then we get two equations, as:

[tex]x+y = 318\\x = 76 + y[/tex]

Substituting the variable x in first equation by the expression obtained in second equation for x, we get:

[tex]x + y = 318\\(76 + y) + y = 318\\76 + 2y = 318\\\text{Subtracting 76 from both the sides}\\\\2y = 318 - 76 = 242\\\\\\2y = 242\\\\\text{Dividing both the sides by 2}\\\\y = \dfrac{242}{2} = 121[/tex]

Thus, we got: Number of basketballs  = y = 121

Using this result and the first equation, we get:

[tex]x + 121 = 318\\x = 318 - 121 = 197[/tex] = number of footballs.

Thus, the number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197

Learn more about forming equations here:

https://brainly.com/question/11938672

Learn more about system of linear equations here:

https://brainly.com/question/13722693

#SPJ2

The final question is;

Why is it not appropriate to calculate a two-sample z-interval for a difference in proportions?

Answer:

The normality of the sampling distribution of the difference in sample proportions cannot be established.

Step-by-step explanation:

To use the two-sample z-interval for a difference in proportions, some conditions must be met which help us to know the normality of the distribution.

The conditions are;

- The method of sampling for each population must be simple random sampling.

- The samples must be independent.

- Each sample must include at least 10 successes and 10 failures.

- Each population must be a minimum 20 times its sample.

In this case, we are not given the population size and as such we cannot ascertain the last condition I wrote above since the sample proportion we are given alone isn't sufficient. Also, they both don't include at least 10 failures. Thus the normality of the sample proportions cannot be established.

Answer: the normality of the sampling distribution of the difference in sample proportions cannot be established

Step-by-step explanation:

Answer:

to differential calculus, because I don't know how to answer this question without

using it.

We're told that Jason's height above the water is  H(t) = -16t² + 16t + 480 .

We can observe many things from this equation:

-- Up is the positive direction; down is the negative direction.

-- The acceleration of gravity is 32 ft/sec² .

-- Jason jumps upward from the cliff, at 16 ft/sec .

-- The cliff is 480-ft above the water.

(This tells us why the question is only concerned with his maximum height,

and then it ends ... 480-ft is one serious cliff, and what happens after the

peak of his arc is too gruesome to contemplate.)

In any case, his vertical velocity is the first derivative, with respect to time,

of his height above the water.

        V = -32 t + 16

At the peak of his arc, where gravity takes over, his velocity changes from

upward to downward, and it's momentarily zero.

                                          0 = -32t + 16

Add  32t  to each side:    32t = 16

Divide each side by  32:      t = 1/2 second

His height at that instant is     H(0.5) = -16(0.5)² + 16(0.5) + 480 =

                                          4-ft above the cliff,  484-ft above the water,

and then he begins falling from that altitude.

The duration of his dive is      484 = 16 t²

                                                  t = √(484/16) = 5.5 seconds

and he hits the water at      V = a t = (32) x (5.5) = 176 ft/sec = exactly 120 mph

Step-by-step explanation:

Answer:

its AAAA

Step-by-step explana

plz like and rate plzzz thank you

Answer:

The answer is 3x + 17w - 18

Answer:

Step-by-step explanation:

y+3 = -6(x-2)

Answer:The heck i aint on that im close though

Step-by-step explanation:

Answer:

294

Step-by-step explanation:

We are given the area of 1 face of a cube. The area is 49. Now if their are 6 faces in a cube, and all faces of a cube are the same, then we multiply 49*6 = 294.

P.S. I don't understand the boxes thing but I have the answer :)

Answer:

A. 37, 38, 39, 41, 43, 47, 52, 54

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

Formula is P=2L+2W so 7(2) + 3.2 (2) = 20.4

Answer:

20.4 inches

Step-by-step explanation:

(7x2) + (3.2x2) = 20.4

Have a great day <3

Answer:

Step-by-step explanation:

x=17√3

y= 34√2

z= 34

Answer:

B) 3√2

Step-by-step explanation:

FH = √GH²+FG² = √18 = 3√2

Answer:

19

Step-by-step explanation:

Answer:7.5+20y

Step-by-step explanation:

Answer:

-6 and 5

Step-by-step explanation:

-6 x 5 = -30

-6 + 5 = -1

Answer:

144 in.²

Step-by-step explanation: