The distance between points A(1, -4) and B(x, -2) is [tex]\sqrt{5\beta }[/tex] units. Find x.

Answer:

Step-by-step explanation:

Adding and subtracting expressions:

a) M + (5x² -2xy) = 6x² +9xy - y²

                      M = 6x² + 9xy - y² - (5x² - 2xy)

Remove the parenthesis by mulplying each term of 5x² - 2xy by (-1) as (-1) is outside the parenthesis

                           = 6x² + 9xy - y² - 5x² + 2xy

Combine ( add or subtract) like terms.

                           = 6x² - 5x² + 9xy + 2xy - y²

                           = x² + 11xy - y²

Hint: Like terms have same variable with same power.

Here, like terms are (i) 6x² and (-5x²)  (ii) 9xy and 2xy

b)               (3xy - 4y²) - N = x² - 7xy + 8y²

                   3xy - 4y²       = (x² - 7xy + 8y²) + N

3xy - 4y² - (x² - 7xy + 8y²) = N

3xy - 4y² - x² + 7xy - 8y² = N

3xy + 7xy -4y² - 8y² -x²   = N

          10xy -12y²  - x²     = N

Answer: N =  10xy - 12y² -x²

Answer:

the weight of 24 bricks is :

[tex]124\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]26\frac{1}{4} =26+\frac{1}{4} =\frac{26\times 4}{4} +\frac{1}{4} =\frac{105}{4}[/tex]

It is clear that there is a proportional relationship between the number of bricks and their weights then :

[tex]\frac{26\frac{1}{4} }{5} =\frac{x}{24} \Longrightarrow \frac{\left( \frac{105}{4} \right) }{5} =\frac{x}{24} \Longrightarrow \frac{26}{5} =\frac{x}{24}[/tex]

[tex]\Longrightarrow x=\frac{26\times 24}{5} =\frac{624}{5} =124\frac{4}{5}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{36x^3}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{6^2x^3}[/tex]

[tex]\\ \rm\Rrightarrow 6x^{3\times \dfrac{1}{2}}[/tex]

[tex]\\ \rm\Rrightarrow 6x^{\frac{3}{2}}[/tex]

Answer:

[tex]\textsf{D)}\quad6x^{\frac{3}{2}}[/tex]

Step-by-step explanation:

[tex]\textsf{Apply radical rule} \quad\sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\begin{aligned}\implies \sqrt{36x^3} &=\sqrt{36}\sqrt{x^3}\\ & =6\sqrt{x^3}\end{aligned}[/tex]

[tex]\textsf{Apply radical rule} \quad\sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]

[tex]\implies 6\sqrt{x^3}=6(x^3)^{\frac{1}{2}}[/tex]

[tex]\textsf{Apply radical rule} \quad(a^b)^c=a^{bc}:[/tex]

[tex]\implies 6(x^3)^{\frac{1}{2}}=6x^{\frac{3}{2}}[/tex]

Step-by-step explanation:

y = –3x –3

y = –2x –3

y = 2x –3

y = 3x –3

Answer:

the correct answer is C.) y = 2x -3

Step-by-step explanation:

edge 2022

Answer:

  (b)  1.7 in

Step-by-step explanation:

The area of a regular polygon in terms of perimeter and apothem is given by the formula ...

   A = 1/2Pa

For a hexagon, the perimeter is 6 times the side length, so this becomes ...

  A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'

__

Solving for the apothem, we find ...

  a = A/(3s)

For the given values of area and side length the apothem is ...

  a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches

The apothem, rounded to tenths, is 1.7 inches.

Answer:

1.7 in.

Step-by-step explanation:

E2020 Geometry B!! :3

The answer will be option A Yes, the test value is in the rejection region.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

here the formula will be

[tex]Z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt {n}}}[/tex]

[tex]Z=\dfrac{100-110}{\dfrac{5}{\sqrt{100}}}[/tex]

[tex]Z=-20[/tex]

Z critical value =-1.645

Z calculated> Z critical value so we will reject.

Hence the answer will be option A Yes, the test value is in the rejection region.

To know more about z-score follow

https://brainly.com/question/25638875

#SPJ1

As per the law of conservation of energy:

C. The reaction system absorbs 22 kJ of energy from the surroundings

This law of energy states that the energy remains conserved its neither created nor destroyed. It remains conserved throughout the reaction.

when an amount of heat gets absorbed during the reaction from the surroundings this type of reaction is known as an endothermic reaction.

So, for fulfilling law of conservation, same amount of energy must be asborbed.

Thus, option C is correct.

Find more information about Energy here:

https://brainly.com/question/13881533

Answer:

I am going to say 182

Step-by-step explanation:

Answer:

Your answer is Vertical.

Step-by-step explanation:

The area painted red on one of the front wheels on DeMarius’ car will be 80.42 inches².

From the information given, the The front wheels on DeMarius’ car are divided into sectors of equal area and the radius of each wheel is 8 inches. The area will be:

= 2/5 × πr²

= 0.4 × 3.14 × 8²

= 80.42 inches²

The radius, in feet, of a rear wheel on the car will be:

r1(2π) = r2(2π)

8(2π) = r2(8/5)(2π)

16 = r2(8/5)

r = 5/8 × 16

r = 10 inches

r = (5/6) feet

Learn more about area on:

https://brainly.com/question/25292087

#SPJ1

Answer:

60°

Step-by-step explanation:

π/3Since π is denoted as 180°,

To convert π/3 radians to the nearest degree will

be:π/3 =

=180/3

= 60°

Answer:

it would be helpful if you provided some answers to know what questions your doing but 60

Step-by-step explanation:

Answer:

cinder cone: estimated probability = 0.35

shield: estimated probability = 0.49

stratovolcano: estimated probability = 0.16

Step-by-step explanation:

Given that he had seen 13 cinder cone volcanoes, 18 shield volcanoes, and 6 stratovolcanoes.

So the total number of volcanoes are 13 + 18 + 6 = 37

So the estimated probability of Cinder cone is \frac{13}{37}\approx 0.35

37

13

​

≈0.35

The estimated probability of Shield is \frac{18}{37}\approx 0.49

37

18

​

≈0.49

The estimated probability of Stratovolcano is \frac{6}{37}\approx 0.16

37

6

​

≈0.16

Below is the completed table

Assuming that these are seperate equations:

Problem 1:

1) Use the sum-product pattern.

x² - 5x - 6

x² + x - 6x - 6

2) Common factor from the two pairs.

x² + x - 6x - 6

x (x + 1) - 6 (x + 1)

3) Rewrite in factored form.

x (x + 1) - 6 (x + 1)

(x - 6) (x + 1)  ----> Answer

Problem 2:

1) Use the sum-product pattern.

x² + 3x - 40

x² + 8x - 5x - 40

2) Common factor from the two pairs.

x² + 8x - 5x - 40

x (x + 8) - 5 (x + 8)

3) Rewrite in factored form.

x (x + 8) - 5 (x + 8)

(x - 5) (x + 8) ----> Answer

Problem 3:

1) Use the sum-product pattern.

x² - 7x - 30

x² + 3x - 10x - 30

2) Common factor from the two pairs.

x² + 3x - 10x - 30

x (x + 3) - 10 (x + 3)

3) Rewrite in factored form.

x (x + 3) - 10 (x + 3)

(x - 10) (x + 3) ----> Answer

Cheers,

ROR

Answer: 26 + 13 + 26 + 13 + x =180

Step-by-step explanation:

first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.

[tex]\stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \div \cfrac{1}{2}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \cdot \cfrac{2}{1}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{4} \\\\\\ \cfrac{-3+15}{4}\implies \cfrac{12}{4}\implies 3[/tex]

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

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:6 \frac{5}{8} + 4 \frac{3}{4} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{53}{8} + \frac{19}{4} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{53 + 38}{8} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{91}{8} [/tex]

[tex]\qquad \tt \dashrightarrow \: 11\frac{3}{8} [/tex]

[tex]6 \frac{5}{8} + 4 \frac{3}{4} [/tex]

the simplest form.

[tex] \frac{53}{8} + \frac{19}{4} [/tex]

[tex] = \frac{(53 \times 4) + (19 \times 8)}{8 \times 4} [/tex]

[tex] = \frac{212 + 152}{32} [/tex]

[tex] = \frac{364}{32} [/tex]

[tex] = 11 \frac{3}{8} [/tex]

Answer:

Fourth-degree trinomial

Step-by-step explanation:

7x⁴ + 7x³ + 10x

There are three terms, and the biggest degree (exponent) is 4. Therefore, this is a fourth-degree trinomial.

Note:

Hope this helps!

Answer:

12 c.m. and 12 c.m.

Step-by-step explanation:

model/actual = scale factor (same thing for dilation)

21/14 = 3/2

3/2*8 =4*3 =12

The population mean of the sampling by the researcher is 240, the standard deviation is 40 and the z score is -2.

It should be noted that the mean is the average of the numbers that are given in a population. The z score is -2 as it measures the relationship between the means.

The probability that the drug will wear off between 200 and 220 minutes will be:

= P(Z < -1.58) - P(Z < -3.16)

= 0.0571 - 0.0008

= 0.0563.

Learn more about mean on:

https://brainly.com/question/20118982

#SPJ1

This experiment is neither the subject nor the researcher because knows which treatment group each subject is in.

A scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.

A group of doctors are conducting an experiment to test a new nutritional supplement they randomly selected 600 subjects, assigning 300 subjects to receive the supplement and 300 subjects to receive a placebo.

The doctors are unaware of which subjects are assigned to each treatment group. this experiment is neither the subject nor the researcher because know which treatment group each subject is in.

To know more about the Experiment follow

https://brainly.com/question/17274244

Answer:

2. y - 2 = -1/6(x + 10)

3. y - 1 = -1/6(x + 4)

5. y = -1/6x + 1/3

Step-by-step explanation:

hope this helps!

Answer:

12.3 feet

Step-by-step explanation:

all you have to understand is that a radius is half the diameter....

24.6/2=12.3

Answer: The Answer for part 1 is 73 The answer for part 2 is 51

I hoped this helped also (im only 14 so if u see this ur doing great)

Step-by-step explanation:

Answer:

6+(3 root2)+(2 root3)+ root6

Step-by-step explanation:

good luck

The probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Given that:

The bag contains:

Since he draws one marbel, thus, only one colored marble would come out.

Let we suppose we've to find P(red marble coming out).

Then, if we take:

E = event of Rafael drawing a red marble,

then E can be done in 6 ways as there are 6 red marbles to choose from.

Also, withdrawal of 1 marble (of any color) can be done in (5+6+45 = 56) 56 ways.

Thus, we get:

[tex]P(E) = P(\text{Choosing a red marble}) = \dfrac{6}{56} = \dfrac{3}{28} \approx 0.107[/tex]

Thus, the probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

Answer:

The median of the data is 6

The Lower Quartile is 2

The upper quartille is 3

The mimimum value is 15

The maximum value is 9

Answer: 160

Step-by-step explanation: The formula for a rectangular prism is (Base)(Width)(Height). The length is 10 and the height and width are both 4 because it is a square.