Check all that apply.
x2 - 4 = 0
A. X = 4
B. X = -2
C. x = 1
D. X = -4
E. X = 2
F. x = -1

The vertices of triangle A''B''C'' are A''(-2, -1), B''(-7, 4), and C''(2, 3).

Thus, option (D) is correct.

1. Translation: The original triangle ABC is translated 2 units to the right and 3 units down to form triangle A'B'C'.

To translate a point (x, y) by (a, b), the new coordinates become

(x + a, y + b).

The coordinates of A' would be:

A' = (-3 + 2, 1 - 3) = (-1, -2)

The coordinates of B' would be:

B' = (2 + 2, -4 - 3) = (4, -7)

The coordinates of C' would be:

C' = (1 + 2, 5 - 3) = (3, 2)

2. Reflection over y = x:

Triangle A'B'C' is reflected over the line y = x to form triangle A''B''C''.

To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).

The coordinates of A'' would be:

A'' = (-2, -1)

The coordinates of B'' would be:

B'' = (-7, 4)

The coordinates of C'' would be:

C'' = (2, 3)

Therefore, the vertices are A''(-2, -1), B''(-7, 4), and C''(2, 3).

Thus, option (D) is correct.

Learn more about Translation here:

https://brainly.com/question/17052587

#SPJ6

Answer:

10 dollars left, four hours of tubing

Step-by-step explanation:

Answer:

he can only buy 3 boxes of candy. then he will be left over with 32.03

Step-by-step explanation:

Answer:

Carlos can buy three boxes of candy, buy his mom her present, and have two dollars and three cents left.

Step-by-step explanation:

50-30=20

20-5.99=14.01

14.01-5.99=8.02

8.02-5.99=2.03

Hope this helps!!

Answer:

The coordinate of the point Z is (4, 5)

Step-by-step explanation:

The given information are;

The coordinates of the endpoints of the directed segment QR are Q(2, 1) and R(8, 13)

The ratio of the partition of the directed line segment QR from Q to R = 1:2

The location of the point at the directed line segment is partitioned = Point Z

Therefore, we have;

The proportion of the partition segment QZ to QR is given as follows;

QZ = 1/(1 + 2) × QR  = 1/3·QR

ZR = 2/(1 + 2) × QR  = 2/3·QR

Which gives the coordinate of the point Z as follows;

The coordinate of the point Z = (2 + (8 - 2)×1/3, 1 + (13 - 1)×1/3)

The coordinate of the point Z = (2 + 2, 1 + 4) = (4, 5)

The coordinate of the point Z = (4, 5).

Answer:

a = 3.09 m/s^2

Step-by-step explanation:

v^2 = Vo^2 +2ax

v= final velocity

Vo = initial velocity

a = acceleration

x = distance

(-10.9)^2 = (-27.7)^2 + 2(a)(-105)

118.81 = 767.29 - 210a

-210a = -648.48

a = 3.09 m/s^2

[tex]( {v})^{2} - ({v(0)} \: )^{2} = 2 \times a \times ∆x[/tex]

[tex]( { - 10.9})^{2} - ({ - 27.7})^{2} = 2 \times a \times - 105 \\ [/tex]

[tex]118.81 - 767.29 = - 210 \times a[/tex]

[tex] - 648.48 = - 210 \times a[/tex]

Negatives simplified :

[tex]648.48 = 210 \times a[/tex]

Divided both sides by 210 :

[tex]a = \frac{648.48}{210} \\ [/tex]

[tex]a = 3.088 \: \: \frac{m}{ {s}^{2} } \\ [/tex]

_________________________________

I think it's the correct answer.

Hope helped.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

y=5-9x

Step-by-step explanation:

y is means y=

5 less than means 5-

product of 9 ans x means 9x

so... y=5-9x

Answer:

y = 9x - 5

Step-by-step explanation:

'is' = equal to

'less than' = difference/subtract

'product' = multiply

y = 9x - 5

Answer:

21.10

Step-by-step explanation:

The numbers before the decimal point represents the whole number so therefore, 21 as a whole number is bigger than 2.

Answer:21.10

Step-by-step explanation:

21.10

2.117

Look at place value.

Answer:

218.4

Step-by-step explanation:

You multiply the numbers together.

The 3 answers are 2,4,8

a. 8 can be written as 2^3== (2^3)^1/3,

would be cancelled and answer is 2

b. (2^3)^(2/3), 3 is cancelled.

2^2= 4

c. 16 can be written as 2^4

(2^4^(3/4), 4 is cancelled,

2^3 = 8

Father is 30 years older than the son.

After 8 years , he will be 4 times as old as his son.

their present ages

Let the son's age be x and age of father be y years

⟹ Father's age = Son's age + 30

⟹ y = x + 30 -- equation (1)

Also,

Son's age after 8 years = (x + 8) years.

Father's age after 8 years = (y + 8) years.

According to the above condition,

⟹ y + 8 = 4(x + 8)

⟹ y + 8 = 4x + 32

Substitute the value of y from equation (1).

⟹ x + 30 + 8 - 32 = 4x

⟹ 6 = 4x - x

⟹ 6 = 3x

⟹ 6/3 = x

⟹ 2 = x

Substitute the value x in equation (1).

⟹ y = 2 + 30

⟹ y = 32

Therefore,

Son's present age = x = 2 years.

Father's present age = y = 30 years.

I hope it will help you.

Regards.

Answer:

→ 11(2 + y) + 11y

→ 22 + 11y + 11y = 154

→ 22y + 22 = 154

→ 22y = 154 - 22

→ 22y = 132

→ y = 132/22

→ y = 6

Step-by-step explanation:

Step-by-step explanation:

let the cost of the options be y

since they are two already we can model the cost as

For the first ticket option

y=5+0.25(2)

y=5+0.5

y=$5.5

For the second ticket option

y=2+0.75(2)

y=2+1.5

y=$3.5

They should go for the second ticket option since it is $2 less than the first option

Answer:

y = 2/3x + 6

Step-by-step explanation:

75m/60=1.25

1.25=1 1/4 hours

So the answer Is 1 1/4 hours.

hope this helps

Answer:

the answer is B cause I just took a test with this question

Answer:

8(x+4)

Step-by-step explanation:

Step-by-step explanation:

40 + 5 - 9x + 4

45 - 9x + 4 = 0

41 - 9x = 0

41 = 9x

41/9 = x

Answer

X= 8 i answered it  as fast as possible

Step-by-step explanation:

Least No. of tickets is 100

Answer:

least number of ticket is 100

Ratio of peanuts to raisins in the first version of a trail mix = 3:2.

Ratio of peanuts to raisins in the second version of a trail mix = 4.5:3.

Divide the ratio by 1.5.

Ratio for second mix = 3:2.

The ratios are equivalent for the two mixtures.

Hopefully this helped.

Answer:

z ≥ 2

Step-by-step explanation:

Step 1: Write inequality

-7z - (-5z - 4) ≤ -3z - 2 + 4z

Step 2: Solve for z

h = 2

[tex]7 + 2h = 3 + 4h[/tex]

You must isolate the variable to solve using the order of operations, or PEMDAS.

[tex]4 = 2h[/tex]

Subtract 3 from both sides of the equation, and subtract 2h from both sides of the equation.

[tex] \frac{4}{2} = h[/tex]

Divide both sides of the equation by 2.

[tex]h = 2[/tex]

Answer:

Consecutive interior angles

Step-by-step explanation:

This chart may also help

Answer:

it depends where your y-intercept is at

if you dont have a y-intercept then just start anywhere on the y-intercept line then u go up one then over three

Step-by-step explanation:

Answer:

148degrees

Step-by-step explanation:

add 180 plus 32 which is 212 subtract that from 360 which is 148

Answer:

25%

Step-by-step explanation:

94°F-100%

70°F-x%

x%=70°F*100%/94°F=74.5%~75%

100%-75%=25%

Answer: y=3x-3

Step-by-step explanation: Formula: y=mx+b The slope is m which is 3, rise over run, and b is the y-intercept which is -3.

Answer:

y=3x+-3

Step-by-step explanation:

the slope is 3/1 which is 3.

the y intercept is the point at which theine crosses te y axis so it's-3

y=mx+b

y=3x+-3

Answer : Rena's weekly gross earnings are $976.31.

Step-by-step explanation :

As we are given total earning of Rena per year is $50,768.

Now we have to calculate her weekly gross earnings.

As we know that in one year there are 52 weeks.

That means,

1 year = 52 weeks

According to the question:

As, Rena earns in 52 weeks = $50,768

So, Rena earns in 1 week = [tex]\frac{\$ 50,768}{52}[/tex]

                                          = $976.31

Therefore, Rena's weekly gross earnings are $976.31.

hope it's right that is what I thought good luck

Answer:

A.

Step-by-step explanation:

Plugging in all the values into the equation, only A holds a true statement.