2(x - 1)(x + 1) = 5x​

Answer:

A logical sentence is written as:

If P, then Q.

Where:

P = hypothesis

Q = conclusion.

For this particular case, we know that a number is even only if the number is divisible by 2.

Then we can write:

if a number is divisible by 2, then it is an even number.

Here we have:

hypothesis = a number is divisible by 2.

conclusion = the number even.

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

1) Add x to both sides.

[tex]17 = 1 + 3x + x[/tex]

2) Simplify 1 + 3x + x to 1 + 4x.

[tex]17 = 1 + 4x[/tex]

3) Subtract 1 from both sides.

[tex]17 - 1 = 4x[/tex]

4) Simplify 17 - 1 to 16.

[tex]16 = 4x[/tex]

5) Divide both sides by 4.

[tex] \frac{16}{4} = x[/tex]

6) Simplify 16/4 to 4.

[tex]4 = x[/tex]

7) Switch sides.

[tex]x = 4[/tex]

Therefor, the answer is x = 4.

Answer:

y=3

Step-by-step explanation:

good luck

Answer:

Step-by-step explanation:

The circumcenter is the intersection of the perpendicular bisectors.

Find the two equations for the perpendicular bisectors and solve the system for intersection point.

Given the vertices A(-4,6), B(6,6), C(6,2)

Find the slope and midpoint of AB and BC

M(AB) is

Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:

m(BC) is undefined as x-coordinates are same, so the segment is vertical

M(BC) is

Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:

The intersection of the lines x = 1 and y = 4 is the point (1, 4)

The circumcenter is point (1, 4)

Answer:

58+61=119

180-119=61

61 degrees is the answer

Step-by-step explanation:

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

Step-by-step explanation:

60x60+32x32=4624

✓4624

68

Answer:

[tex]\huge\boxed{\tt{3}}[/tex]

Step-by-step explanation:

Given the expression:

[tex]\displaystyle \frac{3y+6}{2x}[/tex]

Given that: y = 4 , x = 3

[tex]\displaystyle = \frac{3(4)+6}{2(3)} \\\\= \frac{12+6}{6} \\\\= \frac{18}{6} \\\\= 3\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The slope of a line perpendicular is -1/6

Step-by-step explanation:

Perpendicular lines are opposite reciprocals so you would flip 6/1 to 1/6 and negate it. The answer is -1/6.

Answer:

The population size is relatively small In total population sampling, researchers choose to study the entire population because the size of the population that has the particular set of characteristics that we are interest in is typically very small. Therefore, if you failed to include a small number of units (e.g., people) in your research, a significant piece of the puzzle that you are trying to understand may be missing.

Answer:

sorry if u need help, hope u feel better! :)

x = cos (47) = Pi/3, cos 47 = X/3

Step-by-step explanation:

x = 2.05, 2.05 (2.05)²

Answer:

Length = 22m

Breadth = 20m

Step-by-step explanation:

Given:

Area = 440 m²

Let the breadth be x m

According to the question:

Length = (x+ 2) m

Area of a rectangle = length × breadth

Substitution the values of area, length and breadth

440 = (x+2) × x

440 = x² + 2x

x² + 2x - 440 = 0

x² + 22x - 20x - 440 = 0

x (x + 22) - 20 (x + 22) = 0

(x + 22)  (x - 20) = 0

x = -22 and 20

Since the value of breadth cannot be in negative, therefore the value of breadth will be 20 m.

Length = (x + 2)

⇒ 20 + 2

⇒ 22 m

Answer:

V=lbh=2.4×3×6=43.2cm^3

We are given a candy batband we are given its dimensions

We need to find it's volume

Volume of a cuboid is given by l×b×h

Volume = length × breadth × height

Volume = 2.4 × 3 ×6

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4

Answer:

0.375 or 3/8

Step-by-step explanation:

You could cross multiply meaning (3 × 4) and (8 × 4) which would equal 3/8

You could also change the fractions to decimals which would be

3/4 = 0.75

4.8 = 0.5

= 0.375

Hope this helps ;)

Answer:

1, 1, sqrt of 2

Answer:Answer:  

1,482 square feet    

Step-by-step explanation: Find total area - 37 x 46 = 1,702

Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden

Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft

The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]s = 120 - 12r[/tex]

A linear equation is represented as:

[tex]y = c + mx[/tex]

Where

[tex]c =y\ intercept[/tex] and

[tex]m = slope.[/tex]

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

[tex]s = 120 - 12r[/tex]

[tex]s = 120 - 12 * 5[/tex]

[tex]s = 120 - 60[/tex]

[tex]s = 60[/tex]

60 miles traveled

Solving (b): s = 36

[tex]s = 120 - 12r[/tex]

[tex]36 = 120 - 2r[/tex]

Collect like terms

[tex]2r =120 -36[/tex]

[tex]2r =84[/tex]

Solve for r

[tex]r = 42[/tex]

42 gallons used

Answer:

The value of X is 2

Step-by-step explanation:

hope it helps you...

have a great day

Answer:

C. 2

Step-by-step explanation:

on edge

Answer:

Certain because the papers are labeled from 1-12 you will always pick out a number less than 15

: 2 even numbers are the successes, (5) is the total probability.

The scatter plot shows a correlation.

The bulb wattage is the independent variable.

Heat is the dependent variable.

Options A, C, and D are the correct answers.

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

From the scatterplot,

We see that,

The bulb wattage is the independent variable.

Heat is the dependent variable.

Now,

As the bulb wattage increases, the heat also increases.

This means,

It shows a correlation.

Thus,

The scatter plot shows a correlation.

The bulb wattage is the independent variable.

Heat is the dependent variable.

Learn more about scatterplots here:

https://brainly.com/question/7219025

#SPJ2

Answer:

11

Step-by-step explanation:

Perimeter of the triangle = 45

x + x + 7 + x + 5 = 45

3x + 12 = 45

3x = 45 - 12

3x = 33

x = 33 /3

x = 11

Hope it will help:)

Answer:

1:24

Step-by-step explanation:

hope this helped

Answer:

B=12.2

C=5.4 is your answer

Answer:

Hope this helps out ! :D

The possible positive and negative measures are 155° and -205° respectively.

It is given that an angle has a reference angle of 25° and its terminal side lies in Quadrant II.

It is required to find the possible positive measure and negative measure for the angle.

the angle between the terminal side of the angle and the x-axis.

The terminal side lies in Quadrant II.

The positive measure is:

=180-25

=155°.

And the negative measure is:

= 155-360

= -205°.

Thus, the possible positive measure and negative measures are 155° and -205° respectively.

Learn more about the reference angle here:

https://brainly.com/question/16210309