The midpoint of AB is (3,2). If point is is located at(8,4) what are the coordinates of point B

Answer:

The slope of the line through the points is -5/7

Step-by-step explanation:

Here, we want to calculate the value of the slope through the lines

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (-4,2)

and (x2,y2) = (3,-3)

Substituting these values, we have;

m = (-3-2)/(3-(-4)) = -5/7 = -5/7

The slope of the line through (-4, 2) and (3, -3) is; -5/7

According to the question;

The slope, m of the line is given mathematically as;

Therefore, in this case;

Slope, m = -5/7

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The vertices of the triangle after the reflection over y = -x are \(\left[\begin{array}{ccc}3&-3&-3&-3&-6&-3\end{array}\right]\)

The vertices of the triangle are given as

\(\left[\begin{array}{ccc}3&6&3&-3&3&3\end{array}\right]\)

The transformation rule is given as

Reflection over the line y = -x

Mathematically, this rule is represented as

(x, y) → (-y, -x)

This means that we negate the x-coordinates and the y-coordinates, and then swap the x and the y coordinates

When this rule is applied, we have

\(\left[\begin{array}{ccc}3&-3&-3&-3&-6&-3\end{array}\right]\)

Hence, the reflection would produce \(\left[\begin{array}{ccc}3&-3&-3&-3&-6&-3\end{array}\right]\)

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Answer:

A & B

Step-by-step explanation:

4x²- 12x + 9 = 5

4x²- 12x + 4 = 0

devided by 4

x²-3x+1=0

x = (3 ± √9-4)/2 = (3±√5)/2

x = (√5+3)/2 or x= (-√5+3)/2

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:  Choice B

Work Shown:

\(-2 \le 2x-4 < 4\\\\-2+4 \le 2x-4+4 < 4+4\ \text{ ... add 4 to all sides}\\\\2 \le 2x < 8\\\\2/2 \le 2x/2 < 8/2\ \text{ ... divide all sides by 2}\\\\1 \le x < 4\\\\\)

This says that x is between 1 and 4; it can equal 1, but it can't equal 4.

To visually represent this, we'll have a closed circle at 1, an open circle at 4, with shading in between these circles. This is represented by graph B.

Adaptations are distinct characteristics of an organism that allow it to survive in the environment. Adaptation can be classified into three mainly - structural, behavioural and and psychological.

A structural adaptation is a modification in the body of an organism. They are special attributes to the body of an organism.

Four examples of structural adaptations are

(1) Thick white fur in Polar bears : This fur helps the Polar bear to withstand the harsh cold climate. Also the white fur enable them to be not easily visible protecting it from its predators.

(2) Blubber in marine animals : It is a thick layer of fat beneath the skin. It helps in insulation of heat, storing energy and increasing buoyancy.

(3) Hump in camels : It helps to store fat which can be broken down into energy and water during scarcity of food and water. It also helps in better thermoregulation allowing them to live in extreme environments.

(4) Thorns in cacti : The entire leaf of a cactus is spine reducing the surface area of leaf and thereby decrease loss of water in evaporation. It also protect it from herbivores.

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For an independent-measures t statistic, the estimated standard error measures how much difference is reasonable to expect between the sample means for two samples selected from the same population.

True

The reliability of a measure is determined by the standard error of measurement. It is frequently mentioned in standardized testing and it describes how variable a test's measurement error is. A confidence interval for the true score of an element or an individual can be generated using the standard error of measurement.

To ascertain whether there is statistical support that the linked population means are statistically substantially different, the Independent Samples t Test compares the means of two independent groups. An example of a parametric test is the Independent Samples t Test. Additionally called the Independent t Test.

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Walter and Gretel should make a total of 81 recipes of cookies for their smaller party at Central Middle School. However, the problem states that they should make only full recipes, no partial recipes.

First, we need to calculate the total number of students who will attend the smaller party after the 25% decrease.

Since there are originally 108 students, a 25% decrease means the attendance will be 75% of the original number.

To find the number of students attending the smaller party, we calculate 75% of 108, which is (0.75)(108) = 81 students.

Now, we need to determine the number of recipes needed for the smaller party.

Since each student eats an average of two cookies, the total number of cookies needed is 2 times the number of students.

So, 2 cookies per student multiplied by 81 students gives us 162 cookies.

Since each recipe makes 15 cookies, we divide the total number of cookies needed (162) by the number of cookies per recipe (15).

Doing the calculation, we find that they should make a total of 10.8 recipes.

Therefore, Walter and Gretel should make a total of 81 recipes of cookies for their smaller party at Central Middle School.

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Answer:

can you take a screen shot its hard to see

Step-by-step explanation:

Answer:

All four

Step-by-step explanation:

SSS, SAS, ASA, and HL

Answer:

\(\frac{1}{36}\)

Step-by-step explanation:

The probability of rolling a 4 is 1/6.

Using the multiplication rule, the required probability is \((1/6)^2=\frac{1}{36}\).

The probability that, out of a random sample of 10 internet users, 6 are concerned about the privacy of their e-mail can be calculated using the binomial probability formula.

The binomial probability formula allows us to calculate the probability of a specific number of successes (concerned internet users) in a given number of trials (random sample of 10 internet users), given the probability of success in a single trial (95% or 0.95 in this case).

Using the binomial probability formula, we can calculate the probability as follows:

\(P(X = 6) = C(n, x) * p^x * (1 - p)^(n - x)\)

P(X = 6) is the probability of exactly 6 internet users being concerned about privacy,

n is the total number of trials (10 in this case),

x is the number of successful trials (6 in this case),

p is the probability of success in a single trial (0.95 in this case), and

C(n, x) is the number of combinations of n items taken x at a time.

Plugging in the values, we have:

\(P(X = 6) = C(10, 6) * 0.95^6 * (1 - 0.95)^(10 - 6)\)

Calculating this expression will give us the probability that exactly 6 out of the 10 internet users in the random sample are concerned about the privacy of their e-mail.

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Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.

In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:

In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:

Assuming the ordered pair (1, 2), we have:

y ≥ 6

2 ≥ 6 (False).

5x+3y ≤ 15

5(1) +3(2) ≤ 15

5 + 6 ≤ 15

11 ≤ 15 (True).

Therefore, it is not a feasible solution.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The answer is 36

Step-by-step explanation:

Brainlest pls :)

If x>5, then x+3 is also greater than 5+3=8. Therefore, |x+3| simplifies to x+3. Thus, |x+3| = x+3, if x>5.

The absolute value of a number is its distance from zero on the number line, and it is always a non-negative value. Therefore, if we are given the expression |x+3| and asked to simplify it for x>5, we can use the fact that x+3 is greater than 5+3=8 when x is greater than 5.

Thus, since the absolute value of a number is its distance from zero, we know that |x+3| must be positive when x>5, so we can write:

|x+3| = x+3, if x>5

For values of x less than or equal to 5, |x+3| would have a different simplified form, which would involve a negative sign due to the fact that x+3 would be less than or equal to zero.

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Answer

238.5<br />

Explanation

Based on the given conditions, formulate:

300 × (6% + 1) × (1 − 25%) < br

/>Calculate the sum or difference:

300 × 1.06 × (1 - 0.25)<br

/>Calculate the sum or difference:

300 x 1.06 x 0.75< br />Reorder and group certain terms:

(300 × 1.06) × 0.75<br />Calculate: 318 x 0.75<br />Calculate the product or quotient:238.5< br />get the result: 238.5<br />Answer: 238.5<br />

Lisa's percentile rank will be 89%.

What is percentile?

The k-th percentile is the score at or below which a given percentage falls, or the score below which a particular percentage of the scores in the frequency distribution falls.

The percentile rank is utilized to compare a score to the rest of the scores in a set of scores. It tells us the percentage of scores equal or below a particular scores.

\(P = \frac{R}{N+1} (100)\)

where, R is the rank and N is the score.

Here,

Lisa's rank = 250 - 26 = 224, N = 250

So, her percentile rank will be,

\(P = \frac{224}{250+1}(100) = 89.24\\ P = 89%\)

P = 89%

Therefore, the Lisa's percentile rank will be 89%.

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Answer:

N/A; 32; -8

Step-by-step explanation:

4) You have to graph this equation... basically pick two points on the line and connect them. I'd do (0,4) and (4,1) because they're the easiest

5) Just plug -2 into the equation! -3x³+2x², so when you substitute x for -2, you get -3*(-2)³+2*(-2)²=-3*(-8)+2*4=24+8=32

6) -6m+6+6=4-7m, so m=-8

Answer:

B. 9 in, 4in, 6in

Step-by-step explanation:

In order to form a triangle

The sum of the lengths of any two sides of a triangle should be greater than the length of the third side. So

Let's take option B

9 + 4 > 6

13 > 6 ( True) ✔

4 + 6 > 9

10 > 9 (True) ✔

9 +6 > 4

15 > 4 ( True) ✔

So 9 in, 4in, 6in can form a triangle.

The answer of this 70/cos 20° round to 1 decimal place  is 74.5

To solve the equation 70/cos 20° , firstly we need to find out the value of the cos 20°.

From the simple calculator we can find the value of cos 20° which is 0.9397.

Now we use this value to solve the above equation.

70/cos 20°;

70/0.9397;

74.491.

written that we  have to round of the value to first decimal place, so the answer will become 74.5

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The  \(13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12\)  equation can be used to calculate the surface area of the triangular prism.

It is given that the triangular prism net showing in the figure with dimensions.

It is required to find which equation can be used to find the surface area of the triangular prism net.

It is defined as the area of 3-dimensional geometry surfaces area sum which is occupying the outer area of the object.

We know the area of a rectangle = length × width

Area of the top rectangle = 13×10

Area of the middle rectangle = 12×10

Area of bottom rectangle=  5×10

The formula for finding the area of a triangle:

\(\rm A=\frac{1}{2} \times bh\)

Area of right triangle = \(\rm \frac{1}{2} \times 5 \times12\)

Area of left triangle = \(\rm \frac{1}{2} \times 5 \times12\)

The surface area = Area of top+ Area of middle+ Area of bottom+ Area of    

                                a right triangle+ Area of the left triangle  

\(=13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12\)

Thus, the \(13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12\)  equation can be used to calculate the surface area of the triangular prism.

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The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.

Answer:

60.4% increase

Step-by-step explanation:

To find the percentage of increase you use the following formula:

\(\frac{Final Value - Starting Value}{Starting Value } * 100\)

Hope this was helpful!

The Solution.

Writing the above equation in index form, we have

Answer:

$35.97

Step-by-step explanation:

33 × .09 = 2.97

33 + 2.97 = $ 35.97

Answer:

40%

Step-by-step explanation:

20-15 = 5, 2 students passed and did the assignment, 0.4 = 40%

Using the conversion factor, we know that 30 miles are approximately 48 km.

So, 30 miles is how many kilometers:

Then, 5 miles:

Similarly 30 miles:

Rounding off: 48 km approximately

Therefore, using the conversion factor, we know that 30 miles are approximately 48 km.

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Answer:

Step-by-step explanation:

Angle QRS is an inscribed angle. The rule is that an inscribed angle is half the measure of the arc it cuts off; in other words, the measure of the arc is double the measure of its inscribed angle. If the angle is 84, then the arc is

84(2) = 168.

Answer:

\(G(x) = x^{3} -1\)

Step-by-step explanation:

The red graph is the blue graph translated 1 unit down, so the answer is A.