What will NEVER change?
In a sequence of translations, reflections, and rotations,
what will NEVER change from the pre-image to the
image?
(Select all that apply)
The lengths of the line segments.
T
The position of the object.
The measures of the angles.
The orientation of the object.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf p(y) = 2y^3+my^2+11y+m+3 [/tex]

We are also given that, p(y) is divisible by 2y - 1.

So, 2y - 1 is a factor of p(y).

[tex]\sf\longmapsto 2y-1=0[/tex]

[tex]\sf\longmapsto y=\dfrac{1}{2}[/tex]

So, 1/2 is a zero of p(y).

[tex]\sf\longmapsto p(1/2) =0 [/tex]

[tex]\sf\longmapsto p(y) = 2y^3+my^2+11y+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{2}\right)^3+m\left(\dfrac{1}{2}\right)^2+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

So,

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{8}\right)+m\left(\dfrac{1}{4}\right)+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = \dfrac{1}{4}+\dfrac{m}{4}+\dfrac{11}{2}+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) =\dfrac{1}{4}+\dfrac{m}{4}+\dfrac{22}{4}+\dfrac{4m}{4}+\dfrac{12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{1+m+22+4m+12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{5m+35}{4}[/tex]

[tex]\sf\longmapsto 5(m+7)=4\times0[/tex]

[tex]\sf\longmapsto 5(m+7)=0[/tex]

[tex]\sf\longmapsto m+7=0[/tex]

[tex]\longmapsto\bf m=-7[/tex]

Therefore, the value of m is -7.

Answer:

Answer:

51 mg

Step-by-step explanation:

A new health drink has 170​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 30mg.

The above question is calculated as:

RDA of the vitamin × 170%

The RDA for this vitamin is 30mg

Hence:

30mg × 170%

= 51 mg

Therefore, the milligrams of the vitamin that are in the​ drink is 51 mg

all of his sheep

Hope that helps :)

Answer:

b,c and d are the answers

Step-by-step explanation:k12

Expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

So, the expressions equivalent to 1.3−4x−3.7 are:

Solve: 1.3−4x−3.7

Now, calculate for - 2.4 - 4x:

(A) −0.6−4−x:

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

Therefore, expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

Know more about expressions here:

https://brainly.com/question/28934492

#SPJ2

Correct question:
Which expressions are equivalent to 1.3−4x−3.7?

Select all correct answers.

(A) −0.6−4−x

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

Answer:

Carlton: 731 feet tall

Burj Khalifa: 2716 feet tall

Q1 Tower: 1059 feet tall

The Shard: 1017 feet tall

Willis Tower: 1450 feet tall

Gran Torre: 984 feet tall

(note: this is all rounded up answers)

Work:

223 x 3.28 = 731

828 x 3.28 = 2716

323 x 3.28 = 1059

310 x 3.28 = 1017

442 x 3.28 = 1450

300 x 3.28 = 984

Answer:

exactly 2

Step-by-step explanation:

Prime numbers, the way I was taught to answer this question, has less than 2 factors. The reason is that 1 is considered a factor. However, I think the definition has changed and a prime has exactly two factors -- 1 and itself. 11 is a prime number: only 11 and 1 will divide into it.

Answer:

C exactly two factors.

Step-by-step explanation:

its 2 factors since 1 is considered a factor and 11 is a prime number so it be 2.

The number of trees that died is an illustration of proportions.

The lowest value of X that is consistent with the belief that the tree died due to mishandling is 1.5

From the question, we have: 1 out of 10 died

This means that, the mean number of trees that died are:

[tex]\mathbf{\bar x =\frac{1}{10}}[/tex]

In 15 trees, the number (n) of trees expected to die is:

[tex]\mathbf{n = \bar x \times 15}[/tex]

So, we have:

[tex]\mathbf{n = \frac{1}{10} \times 15}[/tex]

[tex]\mathbf{n = 1.5}[/tex]

Hence, the lowest value of X is 1.5

Read more about mean and proportions at:

https://brainly.com/question/1139885

Answer:

A. x < 2

Step-by-step explanation:

solution:

=2x<7-3

=2x<4

=x<2

Answer:

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

Step-by-step explanation:

Let the average speed be x +20  

Then average speed from his parents' x

And the distance is S=96

Then we know :

[tex]\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing[/tex]

Justin's average speed to his parents' house:  x= 40mph

Justin's average speed from his parents' house:  x+20=60 mph

Answer:

-11/15 is the greatest because ita in negative

Answer:

-11/15 is > -7/6

Step-by-step explanation:

Answer: 3.75

Step-by-step explanation:

5/2=2.5

1 1/2 = 1.5

1.5*2.5=3.75

What kind of question is this? To say you are in college...

Answer:

x = -10

Step-by-step explanation:

Answer:

thousandths I'm pretty sure

Answer:

Orange and pink, I'm not too sure

Answer:

Orange and pink.

Step-by-step explanation:

Because there shapes are same.

Answer:

5−x²+2xy−y²

Step-by-step explanation:

5 - (x-y)²

Rewrite  

(x−y)² as (x−y)(x−y) so

5−((x−y)(x−y))

Expand (x−y)(x−y) using the FOIL Method

Apply the distributive property.

5−(x(x−y)−y(x−y))

Apply the distributive property

5−(x⋅x+x(−y)−y(x−y))

Apply the distributive property

5−(x⋅x+x(−y)−yx−y(−y))

Simplify and combine like terms  

Simplify each term

5−(x²−xy−yx+y²)

Subtract yx from −xy  

5−(x²−2xy+y²)

Apply the distributive property

5−x²−(−2xy)−y²

Multiply  −2 by −1

5−x²+2xy−y²

Answer:

?okihhligiutf rseyra qryjvgukvfyucgyivghvhgj

Using the z-distribution, it is found that the margin of error of the confidence interval is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, it is stated that the population standard deviation is known, thus, the z-distribution is used.

The margin of error of a z-confidence interval is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

A similar problem is given at https://brainly.com/question/25214883

Answer:

z I need this in essay form......

Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.

Answer:

dividend

Step-by-step explanation:

answer - dividend

Answer:

less than or equal to -11

Step-by-step explanation:

subtract 8 to both sides

k< or equal to -11

Answer:

Step-by-step explanation:

0 = (x + 1)(x + 1)

Therefore

x + 1 = 0

x = -1 (twice)

(-1, 0), (-1, 0)

The length of the longer ship in terms of number of football fields is;

4 football fields

Let the length of ship 1 be x

Let the length of ship 2 be y

Total length of both ships is 2321 ft

Thus;

x + y = 2321  ----(eq 1)

The difference in their lengths is 17 ft

Thus;

x - y = 17    ----(eq 2)

Add eq 1 to eq 2 to get;

2x = 2338

Thus; x = 2338/2

x = 1169 ft

Put 1169 for x in eq 1 to get;

1169 + y = 2321

y = 2321 - 1169

y = 1152 ft

Longer ship = 1169 ft long

From conversion tables;

1 ft = 1/3 yards

Thus; 1169 ft = 1169 * 1/3 = 389.67 yards

A football field has a length of 100 yards

Then number of football fields for the length of the longer ship = 389.67/100 = 3.8967 ≈ 4 football fields.

Read more at; https://brainly.com/question/21804970

Answer:

-1

Step-by-step explanation:

(-3)-(-2)= -1

Answer:

-1

Step-by-step explanation:

start at -3 and add 2 the answer is negative 1

Answer:

18

correct me if I'm wrong❌

The following questions are related to problems on simple fraction and arithmetic. Hence, the solutions to the questions are as follows :

1.)

Time on mathematics = 1 hour

Time on science homework = 7/8 hours

Total time spent = (1 + 7/8) = [tex] 1 \frac{7}{8}[/tex]

2.)

Total number of students = 60

Fraction of girls = 3/4

Fraction of boys = 1 - 3/4 = 1/4

Number of boys = 1/4 × 60 = 15 boys

3.)

Initial temperature = - 2°C

Final temperature = 8°C

Change in temperature = Final temperature - Initial temperature

Change in temperature = (8 - (-2)) = 8 + 2 = 10°C

4.)

Elevation of everest = 20028 feets

Elevation of dead sea = - 485 feets

Difference in elevation = (20028 - (-485)) = 20513 feets

5.)

Question is missing key values.

Learn more : https://brainly.com/question/10483418

Answer:

15% of 300 is 45

Answer:

300

Step-by-step explanation:

Answer:

29/35 cm for each of the 5 sides

Step-by-step explanation:

The perimeter is the length of all the sides added together.  A pentagon has 5 sides.  So you'd need to divide 4 1/7 by 5.

It might be easier to divide 4 by 5 and then divide 1/7 by 5 then add the two numbers together.

4/5 = 0.80 or 8/10

1/7 divided by 5  is written as (1/7) / (5/1)

When you divide a fraction by a fraction, you flip the fraction in the denominator over and multiply the new fractions.

So (1/7) / (5/1)  turns into   1/7  x  1/5 = 1 / 35

Adding 8/10 + 1/35, you first need to find the common denominator which would be 70.

8/10 would turn into 56/70

1/35 would turn into 2/70

Add them together now and you get 58 / 70.  This can be reduced down to

29 / 35.

Before doing the question let's recall that their are two types of shapes mostly , irregular and regular . Regular shapes have all their sides equal while irregular doesn't have. And here The given shape is pentagon so it will have 5 sides . Also , it's perimeter is given i.e sum of it's all sides , If we assume it's one side to be s then perimeter will be (s+s+s+s+s) more conveniently 5s . Now , heading to our question ,

[tex]{:\implies \quad \sf 5s=4\dfrac{1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{4\times 7+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{28+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{29}{7}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac{29}{7\times 5}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Each\:\: Side=\dfrac{29}{35}\:\: cm}}}[/tex]