If M is the midpoint of AB, find the coordinates of A if M(-3, 5) and B(6, -11)

Answer:

248 teachers

Step-by-step explanation:

Answer:

In the word “PROBABILITY”

Total number of letters =11

Number of vowels (o, a, i, i) = 4

Thus, the required probability = 4/11

The actual width and length of the bedroom are respectively; 9 ft and 12 ft

The parameters are given as;

Width of house = 30 feet = 360 inches

Length of house = 45 feet = 540 inches

Scale drawing width of house = 4 inches

Scale drawing length of house = 6 inches

Thus;

Scale factor width = 360/4 = 90

Scale factor length = 540/6 = 90

Scale drawing width of bedroom = 1.2 inches

Scale drawing length of bedroom = 1.6 inches

Thus;

Actual width of bedroom = 1.2 inches * 90 = 108 inches or 9 ft

Actual length of bedroom = 1.6 inches * 90 = 144 inches or  12 ft

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Answer:

As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give  call to its mother.

Step-by-step explanation

He said hi Ma.

A perfect correlation is denoted by:

A. +1.0 and -1.0

Answer:

The answer are

B and C

Step-by-step explanation:

r=d/2=12/2=6

r=16/2=8

Circumference=2pir

C=2×6pi

C=12pi

C=2pir

C=2×8pi

C=16pi

Step-by-step explanation:

6/10 > _ > 1/3

3/5 > _ > 1/3

½(⅗+⅓)

½(9+5/15)

½(14/5)

=7/15

Answer:

7/15

Step-by-step explanation: 10 and 3 LCM is 30

6/10 x 3 =18/30 and 1/3x 10= 10/30

10/30 and 18/30 average is 14/30 which simplified is 7/15

The answer is 7/15

Hope it helps

The best description of the curve of the given graph is called; A: Many to One Function

A function is a relation in which each element is mapped to a single element i.e. no element is mapped to two different elements.

The given graph passes the vertical line test and as such we can say it is a function.

Also, the graph of a linear function is a straight line but the graph we are given is not a straight line and as such it is not a linear function.

Lastly, the graph does not passes the horizontal line test because between the interval from -1 to 0, the same value y-output is obtained many times and hence it is not a one-to-one function but a many to one function.

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In the unit rate between two units, the denominator is always one.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Unit rate is written in a fraction form where the denominator is always one.

Example:

6 miles in 3 minutes.

This can be written as,

6 miles = 3 minutes

Dividing 3 on both sides.

2 miles = 1 minute

= 2 miles per minute

Thus,

In the unit rate between two units, the denominator is always one.

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Answer:

the number with more than two factors are called composite number.

Answer:

Question: What are numbers with more than two factors ?

Answer: The numbers with more than two factors is composite factor.

Answer:

\(\frac{(x-2)^2}{16}+\frac{(y-1)^2}{36}=1\)

Step-by-step explanation:

Notice how the vertices are on the same x-coordinate and the endpoints of the minor axis are on the same y-coordinate. This indicates that the ellipse is vertical (meaning the ellipse has a vertical major axis of length \(2a\)).

The equation for a vertical ellipse is \(\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1\) where \((h,k)\) is the center of the ellipse, \((h,k\pm a)\) represents the coordinates of the vertices, and \((h\pm b,k)\) represents the coordinates of the endpoints of the minor axis (also called co-vertices).

The value of \(h\) is listed out for us as \(h=2\).

The value of \(k\) can be determined from taking the midpoint of the vertices. Because \(k=\frac{-5+7}{2}=1\), then \(1-a=-5\)  and \(1+a=7\) give us \(a=6\).

Lastly, to figure out \(b\), we solve the equations \(2+b=-2\) and \(2-b=6\) which both give \(b=-4\) as the solution.

Now, plugging in all our values gives us \(\frac{(x-2)^2}{(-4)^2}+\frac{(y-1)^2}{6^2}=1\) which translates to \(\frac{(x-2)^2}{16}+\frac{(y-1)^2}{36}=1\).

Therefore, the final equation of the ellipse that satisfies the given conditions is \(\frac{(x-2)^2}{16}+\frac{(y-1)^2}{36}=1\).

I've attached a graph of the ellipse with labels to help you visualize it.

Answer:

Pre calculus is the study of the mathematical prerequisites for calculus, including algebra, trigonometry and analytical geometry. ... For example, the self-paced Khan Academy precalculus course includes trigonometry, conic sections, vectors, matrices, complex numbers, probability and series.

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Explanation:

Let's isolate the variable y in the first equation

-2x - y = 1

-2x = 1 + y

1+y = -2x

y = -2x-1

Then we'll plug this into the second equation

-4x - 2y = -1

-4x - 2(-2x-1) = -1

-4x + 4x + 2 = -1

0x + 2 = -1

0 + 2 = -1

2 = -1

We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.

Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.

Answer:

-3

3

Step-by-step explanation:

0.1x^2-0.6x+0.9=0

(1/10)(x^2+6x+9)=0

(1/10)(x+3)^2=0

x=-3

2x^2-12x+18=0

2(x^2-6x+9)=0

2(x-3)^2=0

x=3

The solution of the equation 0.1x²-0.6x+0.9=0 is -3 and 2x²-12x+18=0 is 3.

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given the system of equation as;

0.1x²-0.6x+0.9=0

2x²-12x+18=0

Solving by completing the square:

0.1x²-0.6x+0.9=0

(1/10)(x²+6x+9)=0

(1/10)(x+3)²=0

x=-3

2x²-12x+18=0

2(x²-6x+9)=0

2(x-3)²=0

x=3

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Answer:

Choice D

Step-by-step explanation:

Reflection over the x axis and then a line reflection over y=1 will give you the second desired triangle.

Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

Answer:

25% likelihood

Step-by-step explanation:

.25 is equal to 25%

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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Answer:

A

Step-by-step explanation:

Congruent means equal and not all the sides of a rectangle are equal

Answer:

120

Step-by-step explanation:

18 = .15x  Divide both sides by .15 (15% as a decimal is .15)

\(\frac{18}{.15}\) = \(\frac{.15x}{.15\\}\)

120 = x

Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

Step-by-step explanation:

x -y = -3 can be solved easily then 4x+3y= -5

Answer:

45 R53

Step-by-step explanation:

Hope This Helps

Answer:

this figure regular hexagon have rotation symmetry. The order is 6 and the degrees is 120

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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The compound inequality representing the range for the skull size of cats is: 39.32 ≤ x ≤ 43.01.

To find the compound inequality that represents the range for the skull size of cats, we need to solve the given compound inequality:

8 ≤ 1.03x - 32.4 ≤ 12

Let's solve it step by step:

Add 32.4 to all parts of the compound inequality:

8 + 32.4 ≤ 1.03x - 32.4 + 32.4 ≤ 12 + 32.4

40.4 ≤ 1.03x ≤ 44.4

Divide all parts of the compound inequality by 1.03 (the coefficient of x):

40.4/1.03 ≤ (1.03x)/1.03 ≤ 44.4/1.03

39.32 ≤ x ≤ 43.01

Therefore, the range for the skull size of cats can be represented by the compound inequality:

39.32 ≤ x ≤ 43.01

Rounded to the nearest hundredth, the compound inequality representing the range for the skull size of cats is:

39.32 ≤ x ≤ 43.01

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Probabilities are used to determine the chances of an event.

(a) The expected value

This is the mean of the distribution, and it is calculated using:

\(\mathbf{E(x) = \sum x \cdot P(x)}\)

So, we have:

\(\mathbf{E(x) = 25 \times 0.24 + 50 \times 0.38 + 75 \times 0.30 + 100 \times 0.08 }\)

Using a calculator, we have:

\(\mathbf{E(x) = 55.5}\)

Hence, the expected value is: 55.5

(b) The standard deviation

This is calculated using:

\(\mathbf{\sigma = \sqrt{E(x^2) - (E(x))^2}}\)

Where:

\(\mathbf{E(x^2) = \sum x^2 \cdot P(x)}\)

So, we have:

\(\mathbf{E(x^2) = 25^2 \times 0.24 + 50^2 \times 0.38 + 75^2 \times 0.30 + 100^2 \times 0.08 }\)

\(\mathbf{E(x^2) = 3587.5 }\)

So, we have:

\(\mathbf{\sigma = \sqrt{E(x^2) - (E(x))^2}}\)

\(\mathbf{\sigma = \sqrt{3587.5 - 55.5^2}}\)

\(\mathbf{\sigma = \sqrt{3587.5 - 3080.25}}\)

\(\mathbf{\sigma = \sqrt{507.25}}\)

\(\mathbf{\sigma = 22.52}\)

Hence, the standard deviation is 22.52

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The highest height for the daily rainfall were for 5 and 6 inches

Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.

From the given dot plot, we see the number of times for each height of rainfall.

Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.

Thus, we conclude those were the highest heights for the daily rainfall.

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