2(3x + 5) - 4(x - 1)
Simplified form

Answer:

The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.

Step-by-step explanation:

From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:

[tex]AB = 2\cdot BC[/tex]

[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.

[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.

[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]

Then, we expand and simplify the expression above:

[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]

[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]

If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:

[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]

[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]

[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]

This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:

[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]

In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.

Answer:

C

Step-by-step explanation:

Split

15

into two angles where the values of the six trigonometric functions are known.

The result can be shown in multiple forms.

Exact Form:

2−√3

The exact value of tan 15° is,

⇒ tan 15° =  - (2 - √3)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find the exact value of tan 15°.

Now, We can formulate;

tan 15° = tan (45 - 30)°

          = tan 45° - tan30° / (1 + tan45° tan30°)

          = (1 - √3) / (1 + √3)

          = (1 - √3) (1 - √3) / (1 + √3) (1 - √3)

          = (1 + 3 - 2√3) / (1² - √3²)

          = (4 - 2√3) / (1 - 3)

          = 2 (2 - √3) / - 2

          = - (2 - √3)

Thus, The exact value of tan 15° is,

⇒ tan 15° =  - (2 - √3)

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Answer:

P=0.94619355852°

Step-by-step explanation:

Use cos:

cosA=adjacent/hypotenuse

cosP=33.8/57.8

P=arccos(0.5847750865)

P=0.94619355852°

Answer:

54.1

Step-by-step explanation:

If you put the reverse cos sign  and divide 33.8 by 57.6 you get 54.069…

that’s the answer. In the calculator it should look like this (check attached image)

Answer:

days 7

weeks 4

Step-by-step explanation:

there are 7DAYS Iin a week

there are 4WEEKS in a month

Answer:

a 90° clockwise rotation

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There are no words to explain sorry!

Answer:

a

Step-by-step explanation:

basically the number with x is always the slope and I really just put the equations into a inspire and got the answer by which one matched

The equation of line passing through the point (8, 9) with a slope of 3

will be;

⇒ y = 3x - 15

Option A is true.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The slope of the line = 3

And, The point on the line = (8, 9)

Now,

Since, The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Hence, The equation of line passing through the points (8, 9) with slope '3' is defined as;

⇒ y - y₁ = m (x - x₁)

⇒ y - 9 = 3 (x - 8)

⇒ y - 9 = 3x - 24

⇒ y = 3x - 24 + 9

⇒ y = 3x - 15

Thus, The equation of line passing through the point (8, 9) with a slope of 3 will be;

⇒ y = 3x - 15

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Answer:

1 < n

Step-by-step explanation:

3(3 - 4n) + 6n < -2n + 5

9 - 12n + 6n < -2n + 5

9 - 6n < -2n + 5

9 < 4n + 5

4 < 4n

1 < n

I hope this is accurate and helpful. Please let me know if it’s correct! It’s been a while since I’ve done inequalities.

Garrick's measurement was 2 mm off. (10 - 8 = 2)

Zan's measurement was 12 mm off. (100 - 88 = 12)

Garrick's percent error was 20% (2 / 10 x 100)

Zan's percent error was 12% (12 / 100 x 100)

Answer:29

Step-by-step explanation:

Answer:

A.[tex]x(x+12) -7(x+12)[/tex]

Step-by-step explanation:

Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

[tex]x^2 +5x - 84[/tex]

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

[tex]x^2 +12x - 7x - 84[/tex]

Now take out the common factors,

[tex]x(x+12) -7(x+12)[/tex]

Thus, the correct option is choice (A).

Answer:

Keep the number in the place value you are rounding to the same. Increase the number in the place value you are rounding to by 1.

...

Additional Resources

Round the number 227.18 to the nearest ten.

Round the number 856.861203 to the nearest thousandth.

Round the number 599.495 to the nearest tenth.

Answer:

don't you have a calculator? just use that

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  C  83°

Step-by-step explanation:

The measure of inscribed angle BDA is half the measure of the arc it intercepts.

  ∠BDA = (1/2)arcBFA = (1/2)(166°)

  ∠BDA = 83°

Answer:

1. False

2. True

3. False

Answer:

n × 3 = (answer)

Step-by-step explanation:

If you need 3 times as many blueberries than strawberries for the recipe, then multiplying the number of strawberries you have by three will get you the number of blueberries that you need.

Answer:

QUESTION:

Simplify: 90 - 5 (19 + 17-1-26)​

ANSWER:

45

Step-by-step explanation:

I hope that this helps you out! :)    

Have a great rest of your day/night!    

Please thank me on my profile if this answer has helped you out.

Answer:

C (y=5x-7)

Step-by-step explanation:

First, you find the slope between the 2 points which is 5, then you use one of the points to form an equation.  

You then find it's y=5x-7.

See attatched picture

The Central tendency is typically located to the right of the tallest bar.

In a skewed left distribution, the central tendency is typically located to the right of the tallest bar. Skewed left distributions, also known as negatively skewed distributions, are characterized by a tail that extends towards the left side of the distribution.

The central tendency refers to the measure that represents the center or average of a distribution. It provides information about the typical or central value around which the data points tend to cluster. Common measures of central tendency include the mean, median, and mode.

In a skewed left distribution, the mean is usually influenced by the long tail on the left side of the distribution. This tail pulls the mean towards lower values, resulting in a lower mean compared to the median. Therefore, the mean will typically be located to the left of the tallest bar in a skewed left distribution.

On the other hand, the median is less affected by the skewness of the distribution and is relatively robust to extreme values. It represents the value that separates the lower 50% of the data from the upper 50%. In a skewed left distribution, the median will be located closer to the tallest bar or even slightly to the right of it.

The mode, which represents the most frequently occurring value in a distribution, may or may not be influenced by the skewness depending on the shape of the distribution. It can be located anywhere along the distribution, and its position is not necessarily tied to the location of the tallest bar.

To summarize, in a skewed left distribution, the central tendency is typically located to the right of the tallest bar. The median is usually closer to the tallest bar or slightly to the right, while the mean is influenced by the skewness and tends to be located to the left of the tallest bar.

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Answer:

  (a)  12

Step-by-step explanation:

The integral over the reverse range is the opposite of the integral over the forward range. The integral over adjoining ranges is the integral over the whole range.

  [tex]\displaystyle \int_{-1}^5{f(x)}\,dx=\int_{-1}^1{f(x)}\,dx+\int_{1}^5{f(x)}\,dx\\\\=\int_{-1}^1{f(x)}\,dx-\int_{5}^1{f(x)}\,dx=5-1=4[/tex]

Then 3 times the integral is ...

  [tex]\displaystyle 3\int_{-1}^5{f(x)}\,dx=3(4)=\boxed{12}[/tex]

Answer:

I thin its b.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cosine starts at 1 and then goes down till 180 degrees and then goes up again..

Hope this helps..

Answer:

8

Step-by-step explanation:

make a ratio

length of scale/width of scale=length of real/width of real

6/4=12/x

x=8

Hope that helps :)

Answer:

B

Step-by-step explanation:

The first probability is 10/24, and the second is 9/23. If you multiply these two fractoins you get 15/92. 15/92 is approximately equal to 16%.

Answer:

2 sheets, or at least 1.34.

Step-by-step explanation:

What we need to do, is figure out the exact area of the window, and the area of the paper sheets. Then, we must convert meters to centimeters, in order to be correct.

Consider R to be the total area of the window.

Consider A to be the area of each sheet of paper.

3.55m * 2.28m = R

8.094m = R

21.6cm * 28cm = A

604.8cm = A

Now, we should convert meters to centimeters.

8.094m = 809.4cm

Then we'd divide to find out how much paper will be required

809.4 ÷604.8 = ≈ 1.34

So, they'll need want to have at least 1.34 sheets of paper, which isn't too unrealistic, but if we're looking for whole sheets, then they will need 2 sheets of paper.

Have a nice day, fam. Spread The Love.

Answer:

Step-by-step explanation:

​(a) What proportion of​ 18- to​ 34-year-old respondents are more likely to buy when made in their​ country? What proportion of​ 35- to​ 44-year-old respondents are more likely to buy when made in their​ country?

The proportion of​ 18- to​ 34-year-old respondents is

0.66

The proportion of​ 35- to​ 44-year-old respondents is

0.56

(b) What age group has the greatest proportion who are more likely to buy when made in their country?

18-34 yrs

(c) Which age group has a majority of respondents who are less likely to buy when made in their country?

55+

(d) What is the apparent association between age and likelihood to buy when made in their country?

As age decreases, the likelihood to buy homegrown increases