What is the equation of a line that is perpendicular to y=2x+5 and passes through (-6,4)?

Group of answer choices

A. y=1/2x+4

B. y=-1/2x

C. y=-1/2 x+1

D. y+2x+10

Answer:

C. 390 Cubic units

5 * 6 * 13 = 390 cubic units

C: 390 because 5 times 6 is 30 and 30 times 13 is 390

The missing angle is approximately 108.5 degrees.

Law of sines is a trigonometric formula that relates the sides and angles of any triangle. Specifically, the law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle.

Using the law of sines:

sin(128°)/15 = sin(x)/12

Multiplying both sides by 12:

sin(x) = 12sin(128°)/15

Taking the inverse sine of both sides:

x = sin^-1(12sin(128°)/15)

x ≈ 108.5°

Therefore, the missing angle is approximately 108.5 degrees.

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One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Answer:

The second graph

Step-by-step explanation:

Plugging in sample values we can see that when x = 0, y = sqrt(1) = 1

When x = 1, y = sqrt(0) = 0

When x = -3, y = sqrt(4) = 2

This is the second graph

Answer:

the second option

Step-by-step explanation:

Plugging in sample values we can see that when x = 0, y = (1) ^1/2 = 1

When x = 1, y = (0)^1/2

= 0

When x = - 3, y = (4)^1/2

= 2

Hope this helps!

The width of the deck is 1 foot.

Let's assume that the width of the deck is x feet. Then the dimensions of the entire pool and deck will be (12+2x) by (20+2x) feet.

The area of the entire pool and deck will be the area of the pool plus the area of the deck:

(12+2x)(20+2x) = area of pool + area of deck

We know the area of the pool is 12 x 20 = 240 square feet, and we are given that the total area of the deck is 68 square feet. So we can write:

(12+2x)(20+2x) = 240 + 68

Expanding the left-hand side:

\(240 + 24x + 40x + 4x^2 = 308\)

Rearranging and simplifying:

\(4x^2 + 64x - 68 = 0\)

Dividing both sides by 4:

\(x^2 + 16x - 17 = 0\)

We can solve for x using the quadratic formula:

\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)

where a = 1, b = 16, and c = -17. Plugging in the values, we get:

\(x = (-16 \pm \sqrt({16^2 - 4(1)(-17))}) / 2(1)\\x = (-16 \pm \sqrt{(400)}) / 2\\x = (-16 \pm 20) / 2\)

Therefore, the possible values for x are -18/2 = -9 and 2/2 = 1. However, since the width of the deck cannot be negative, the only valid solution is x = 1.

Therefore, the width of the deck is 1 foot.

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Answer:

the last one is the answer!

False. It is not generally suggested that the sample size in developing a multiple regression model should be at least four times the number of independent variables.

There is no specific rule or guideline that states the sample size in developing a multiple regression model should be at least four times the number of independent variables. The appropriate sample size for a multiple regression model depends on various factors, such as the desired level of statistical power, the effect size, and the level of significance. In general, a larger sample size is preferred as it can increase the statistical power and reliability of the results.

However, the relationship between sample size and the number of independent variables is not fixed at a specific ratio like four times. It is important to consider the specific context of the study and the research question when determining the appropriate sample size for a multiple regression model.

Therefore, it is not accurate to suggest that the sample size should be at least four times the number of independent variables.

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As we know in a right angled triangle the sum of two sides will always be greater than the third side.

We will use the Pythagoras Theorem here:

c² = a² + b²; where c is the longest side.

The only segments satisfying this are

15, 36, 39

Answer:

4) 5, 12, 13

Step-by-step explanation:

A single triangle is 180 degrees.

As you can see. Triangle A, as it is shown in the bad drawing. It is an isosceles triangle because two sides are equal to one another, indicated with the lines. Angle A is given as 57. By the isosceles triangle theorem, Angle A equals to Angle B. Calculating the missing angle: 180 - 57 (given) - 57 (because of the isosceles triangle theorem type of thing. I forgot) = 66

You can see it is a verticle angle so angle C is equal to angle D, therefore angle D is 66.

Again it is an isosceles triangle so Angle F is 66. 180 - 66(angle D) - 66(angle F) = 48 = angle x

Angle A = 57 degrees. Given

Angle A = Angle B. isosceles triangle theorem

Angle B = 57 degrees. Substitute

Angle A + Angle B + Angle C = 180. Definition of Triangle (I forgot what it was called)

57 + 57 + Angle C = 180. Substitution

Angle C = 66. Subtraction

Angle C = Angle D. Verticle angle theorem.

Angle D = 66. Substitution

Angle F = Angle D. isosceles triangle theorem

Angle F = 66. Substitution

Angle D + Angle F + Angle X = 180. Definition of Triangle?

66 + 66 + Angle X = 180. Substitution

Angle X = 48. Subtraction

If a line parallel to one side of a triangle contacts the other two sides of the triangle, the line proportionally splits these two sides. If DE = BC, then ADDB=AEEC.

If a line parallel to one side of a triangle contacts the other two sides, the two sides are proportionately divided.

The formula for a proportional equation is y = kx. The letters y and x denote the variables in the equation. The letter k represents the proportionality constant, which is fixed.

Because matching angles produce the AA similarity shortcut, when a line is drawn parallel to one side of a triangle, two similar triangles are generated. Because the triangles are comparable, the parallel line segments are proportionate segments.

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The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4)

The coordinates of x will remain the same for reflection in the X axis, while y will change with the opposite sign.

From the question, we have

The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4).

Reflection:

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context. ABC and A'B'C are used to represent the pre-image and image, respectively. The coordinate system may be referred to by the reflection transformation (X and Y-axis).

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To find the matrix A such that Q(x) can be written as x^TAx, we need to express Q(x) in quadratic form.

Given Q(x) = 3x1^2 + x2^2 + 5x3^2 - x1x2 - 8x1x3 + x2x3, we can write it in matrix form as:

Q(x) = [x1 x2 x3] [3   -1/2   -4]

                  [-1/2  1    1/2]

                  [-4   1/2   5] [x1]

                                   [x2]

                                   [x3]

Comparing this to the form x^TAx, we can see that the matrix A is:

A = [3   -1/2   -4]

       [-1/2  1    1/2]

       [-4   1/2   5]

Therefore, the matrix A is:

A = [3   -1/2   -4]

       [-1/2  1    1/2]

       [-4   1/2   5]

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The area of the triangle with side lengths b = 12, c = 25, and included angle A = 17 is approximately 75.4 square units.

To find the area of ΔABC, with side lengths b = 12, c = 25, and included angle A = 17, we use the formula:

A = 1/2 bc sin A

where b and c are two sides of the triangle, A is the included angle between b and c, and A is measured in degrees.

In this case, b = 12, c = 25, and A = 17. Plugging these values into the formula, we get:

A = 1/2 (12)(25) sin 17° = 75.4 (rounded to the nearest tenth).

Therefore, the area of ΔABC is approximately 75.4 square units.

It is important to note that the units of area are always square units, which can be either square inches, square feet, square meters, etc. Also, rounding the answer to the nearest tenth means that we want the answer to be accurate to one decimal place.

Therefore, the area of the triangle with side lengths b = 12, c = 25, and included angle A = 17 is approximately 75.4 square units.

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The number three was closest to the Incan civilization's epicenter. C is the best answer since Cusco functioned as the political, military, and administrative hub of the empire. Around the beginning of the 13th century, the Inca civilization evolved in the Peruvian highlands.

Archaeologists now think Pachacuti, the Inca monarch, used Machu Picchu as a private estate (1438–1472). It is sometimes referred to as the "Lost City of the Incas" and is the most well-known representation of the Inca civilisation. The Incas founded Cuzco, Peru, as their capital in the 12th century. They started their conquests in the early 15th century, and within a century, they had 12 million Andeans under their rule.The great Incan Empire was established in Cusco, Peru. Learn about the history, legends, and historical sites of the Inca dynasty. The names Cusco, Cuzco, and Qosqo have all been used to refer to this former Incan capital. Thus, option C is the best choice.

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Answer:

x = 9

Step-by-step explanation:

divide both sides of the equation by 4 to isolate the x variable according to algerba. Hope it helps!

Answer:

=9

Step-by-step explanation:

9 times 4 is 36

Answer:

4

Step-by-step explanation:

If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!

Answer:

x= 3

Step-by-step explanation:

1/3 = 33.3%. 3/8 = 37.5%. 65%

Hope this helps.

The estimate was off by about 6.5%. If 40 samples were taken, the data would be more accurate and precise, resulting in a more accurate estimate of the actual number of beads.

The estimate was off by about 6.5%. This means that the estimated number of beads was 6.5% higher or lower than the actual number of beads.

If 40 samples were taken, the data would be more accurate and precise. This means that the average of the 40 samples would be closer to the actual number of beads than it would be with only 10 samples. This would result in a more accurate estimate of the actual number of beads.

The difference between the estimate and the actual number of beads is:

Estimate - Actual = 6.5%

Therefore, the 6.5% difference is the percentage of error between the estimate and the actual number of beads.

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Answer:

#4 bottom right

Step-by-step explanation:

It is being changed at 4 degrees per minute so in 10 minutes it would be 40 not 52

(a) To find the limit as x approaches -4 of the expression (2x² - 1) / (2x - 4), we can substitute the value of x and see what the expression approaches:

lim(x→-4) [(2x² - 1) / (2x - 4)]

Substituting x = -4:

[(2(-4)² - 1) / (2(-4) - 4)] = [(-32 - 1) / (-8 - 4)] = (-33 / -12) = 11/4

Therefore, the limit as x approaches -4 is 11/4.

(b) To find the limit as x approaches 2 of the expression (2x² - 4) / (x² - 1 - 2), we can substitute the value of x and see what the expression approaches:

lim(x→2) [(2x² - 4) / (x² - 1 - 2)]

Substituting x = 2:

[(2(2)² - 4) / (2² - 1 - 2)] = [(8 - 4) / (4 - 1 - 2)] = [4 / 1] = 4

Therefore, the limit as x approaches 2 is 4.

(c) To find the limit as x approaches ±∞ of the expression (±2 + 2) / (2² - 4), we can simplify the expression and see what it approaches:

lim(x→±∞) [(±2 + 2) / (2² - 4)]

Simplifying the expression:

lim(x→±∞) [±4 / (4 - 4)]

Since the denominator is 0, we have an indeterminate form. However, if we look at the numerator, it can take two possible values: +4 and -4, depending on the sign chosen.

Therefore, the limit as x approaches ±∞ does not exist.

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Answer:

False

Step-by-step explanation:

15 isn't divisible by 10

Answer:

That's false.

Step-by-step explanation:

10 can't go in to for an example 45 or 55. But, it can go into 40 or 50

Answer:

f(x)=-2x^2+32x-114

Step-by-step explanation:

Answer:

f(x) = -2x^2 + 142

Step-by-step explanation:

f(x) = -2(x - 8)^2 + 14

f(x) = -2(x)^2 - (-2)(-8)^2 + 14

f(x) = -2x^2 - (-2)(64) + 14

f(x) = -2x^2 - (-128) + 14

f(x) = -2x^2 + 128 + 14

f(x) = -2x^2 + 142

Answer:

Consider the difference quotient formula.

f(x+h)−f(x) / h

Find the components of the definition.

g(x+h)=3h+3x−1

g(x)=3x−1

Plug in the components.

g(x+h)−gx / h = 3h+3x−1−(3x−1) / h

Simplify = 3

Answer:

-8/5

Step-by-step explanation:

hope it helps!

The minimum value of 8x³ + 54x + 27³x + 36x  is  81√6/7.

The minimum value of 8x³ + 36x + 54x + 27³x  for positive real numbers x is 81√6.

We have the expression: 8x³ + 36x + 54x + 27³x

Let's factorize it in the following way : 8x³ + 54x + 27³x + 36x = 8x³ + 3³x(3²x + 2) + 3²(3x²) = 8x³ + 3³x(3²x + 2) + 9(3x²)

Let's consider the AM-GM inequality : a + b ≥ 2√ab, for any real positive numbers a and b.

So, we have :

8x³ + 3³x(3²x + 2) + 9(3x²) = 8x³ + 9(3x²) + 3³x(3²x + 2)≥ 3√[8x³ × 9(3x²) × 3³x(3²x + 2)]

This implies : 8x³ + 9(3x²) + 3³x(3²x + 2) ≥ 18x√[2x]

This is because 8x³ × 9(3x²) × 3³x(3²x + 2)

= 81(2x)³x²(3²x + 2)

= 1458(2x)³x³(3²x + 2)

Thus, 8x³ + 9(3x²) + 3³x(3²x + 2) ≥ 18x√[2x]

The minimum value of 18x√[2x] is when 2x is equal to 1.

This is because when 2x is equal to 1,

we have: 18x√[2x] = 18(1/2)√1 = 9.

Now, 8x³ + 9(3x²) + 3³x(3²x + 2) ≥ 9.

In other words,8x³ + 54x + 27³x + 36x ≥ 9

This implies: 8x³ + 54x + 27³x + 36x + 81³x ≥ 9 + 81³x = 81(1 + 3³x)

The above inequality can be written as: (1 + 3³x)(8x³ + 54x + 27³x + 36x) ≥ 81

Therefore, 8x³ + 54x + 27³x + 36x ≥ 81/(1 + 3³x)

This implies: 8x³ + 54x + 27³x + 36x ≥ 81/28

The above inequality can be written as: 8x³ + 54x + 27³x + 36x ≥ 81√6/14

This implies: 8x³ + 54x + 27³x + 36x ≥ 81√6/7.

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Answer:

5 1/2

Step-by-step explanation:

a) r=d/t

   11/4x2/1= 22/4= 5 1/2

b) 1/2 hour x 2 equals one hour, so 2 3/4 x 2 equals rate per hr.

11/4x2=22/4= 5 1/2

Answer:

1 mph

Step-by-step explanation:

All you have to do is follow the formula. Distance/time=mph

Answer:

y=2x-3

Step-by-step explanation: