Distributive property 3x(x - 1)
how do u do this?step by step

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

For statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

If the slope of the triangles is equal then triangle A is similar to triangle B.

In the statement  when we simplify

(5/3)=(15/9),

(5/3)=(5/3),

Then the reason for this statement is "If the slope of triangles are equal"

And the definition of slope in general is m = y/x.

Therefore, for statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

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The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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The coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.

The translation is the action of moving the image's position relative to the coordinate system. The points are translated on a coordinate plane.

Given that quadrilateral, ABCD has coordinates A (0, 2), B (3, 4), C (4,2), and D (3,0).

The translation of the points will be done as below:-

A(0, 2)  ⇒  ( 2, -1 )

B (3, 4) ⇒   ( 5, 1)

C (4,2) ⇒   ( 6, -1)

D (3,0) ⇒   ( 5, -3)

Therefore, the coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.

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\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[8 - (-1)]^2 + [-5 - 0]^2}\implies d = \sqrt{(8+1)^2+(-5)^2} \\\\\\ d = \sqrt{81+25}\implies d = \sqrt{106}\)

if the area of a circle is 36.2 square inches, the radius of the circle to the nearest tenth is 3.4 inches.

The area of a circle is 36.2 square inches and we have to determine the radius of the circle to the nearest tenth.

The formula of the area of the circle is given as:

Area of circle = πR², where R is the radius of the circle.

We are given, Area of the circle = 36.2 square inches

So, πR² = 36.2 square inches

Now, π = 3.14

3.14R² = 36.2 square inches

R² = 36.2/3.14

R² = 11.53

Taking square root on both sides

R = √11.53

R = 3.39 inches

R ≈ 3.4 inch (Rounded to the nearest tenth)

Hence, the radius of the circle to the nearest tenth is 3.4 inches.

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Answer:

Diameter is 11.5 inches

Step-by-step explanation:

The linear function that represents the water level is L = -0.5d + 34 while the number of days will the water take to level 26 feet is 16 days.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

Initial water level = 34 feet

Rate of receding = 0.5 feet per day = -0.5

New level L = -0.5d + 34

For the level to be 26 feet,

26 = -0.5d + 34

0.5d = 34 - 26

d = 16 days

Hence "The equation L = -0.5d + 34, which represents the water level, states that it will take 16 days for the water to reach a level of 26 feet".

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The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer: 20

Step-by-step explanation:

if 4x4=16 then 16 divided by 2 =8 witch is diviseble by 20

Step-by-step explanation:

here

radius of circle(h,k)=(-7,11)

so ,h=-7

and k=11

r=8

we know that,

(x-h)^2+(y-k)^2=r^2

(X+7)^2 + (y-11)^2= 8^2

X^2+14x+49 +y^2-22y+121= 64

x^2+y^2+14x-22y+106=o is the equation of circle .

Answer: 37 cents per text message

Answer:

200 mintes

Step-by-step explanation:

Given :

To find :-

Answer :-

Given function :-

On equating with 0 ,

Hence it cuts x axis on (2,0) and (4,0) .

Using midpoint formula ,

Answer:

(3,0)

Step-by-step explanation:

The answer above is correct.

Answer:

1 Shirt and 185cm remaining cloth

Step-by-step explanation:

2m and 15cm = 215cm

40m = 400cm

400/215=1.860465116

A shirt cant be in decimal so we remove the decimals, and take the as the answer. For the decimals, they are the remaining cloth.. to calculate the amount of remaining cloth we do:

1.860465116-1

=860465116

215*860465116=185cm

Here function f(x) = x-3 when x is less equals to 2 and f(x) = -5x+4 when x is greater than 2. Two piecewise function is graphed below.

A piecewise functiοn is a specific type οf functiοn f(x) which has different values in different ranges οf x. The graph οf a piecewise functiοn has different parts cοrrespοnding tο each οf its defined functiοns. One example οf piecewise functiοn is the absοlute value functiοn.

Here the given piecewise functiοn is

f(x) = x - 3 if x≤2

f(x)= -5x+4 if x>2

Here f(x) = x-3 when x is less equals tο 2 and f(x) = -5x+4 when x is greater than 2.

Hence, twο piecewise functiοn is graphed belοw.

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Answer:

(270+150)/(2020-2000)= 21 - average rate of change in the height per year

Answer:

I think to get the average rate you subtract 150 from 270 centimetres you'll get 120 centimetres then subtract 2000 from 2020 to get 20 now to get the rate divide 120cm by 20 and you will get six so the rate is 6 cm per year

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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The profit allocated to Ahmad based on a profit-sharing ratio of 3:4 should be Rs 210,000.

A profit-sharing ratio is the proportion of the profits that are allocated to each partner in a partnership business.

Profit-sharing ratios are usually based on some agreed criteria, like the share of capital contributions and participation in the business.

Profit sharing ratio = 3:4

Profit to be shared = Rs 490,000

Ahmad's profit = Rs 210,000 (Rs 490,000 x 3/7)

Haider's profit = Rs 280,000 (Rs 490,000 x 4/7)

Thus, the profit allocated to Ahmad based on a profit-sharing ratio of 3:4 should be Rs 210,000.

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The profit of Ahmad base on the ratio is Rs 210,000

The total profit made by the two of them are Rs 490,000.

The profit is divided between Ahmad and Haider with the ratio 3:4.

The profit of Ahmad can be calculated as follows:

Therefore,

profit of Ahmad = 3 / 7 × 490,000

profit of Ahmad = 1470000 / 7

profit of Ahmad = 210000

profit of Ahmad = Rs 210,000

Therefore, the profit made by Ahmad is Rs 210,000

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Answer:

1. A. You allow the passenger to board his flight when the passenger has a weapon.

2. B. You select the passenger for further inspection when the passenger has no weapon.

Explanation:

1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is actually true, but the airport security screener incorrectly concluded it is false. In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight when he actually did have one.

2. While, a Type II error means that the assumption "the passenger has a weapon" (null hypothesis) is actually false, but the airport security screener incorrectly concluded it is true. In other words, he assumed the passenger had a weapon and selected the passenger for further inspection when he actually didn't have one.

According to the question of drop factor, the answer is 53.3ml that will be infused per hour.

Drop factor is a mathematical concept related to the concept of rate. It is a unitless coefficient used to adjust a given rate. Drop factor is commonly used to represent the rate of change in a linear equation, and can be used to calculate the rate at which a given value decreases over time. The drop factor is calculated by subtracting the previous value from the current value and dividing it by the change in time. This value can then be used to calculate the rate of change over time.

The calculation for the amount of ml that will be infused per hour is as follows:

Volume (L) x Drop Factor (gtt/ml) = Total Drops

0.8 L x 60 gtt/ml = 480 drops

Total Drops / Time (hours) = Drops/Hour

480 drops / 9 hours = 53.3 drops/hour

Since 1 drop is equal to 1 ml, this means 53.3 ml of fluid will be infused per hour.

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From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Answer: 6

Step-by-step explanation:

You would divide the number by the other number to get the awnser

Answer: 24 nights in total

Step-by-step explanation: 48 divided by 8=6 and so six sets in total and to get the number of days you times 6x4 and you get 24 days in total. Also to check the answer 4 is half of 8 and 24 is half of 48

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

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The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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If we want the two ratios to be equivalent, then we need to use x = 15 and y = 33.

Let's say that we have a simple ratio between two amounts, it is A:B

If we multiply both of these amounts by the same scalar, k, we will get:

k*A and k*B

And the ratio between the new amounts k*A: k*B is equivalent to the first ratio, A:B

So we will use this to solve the problem, here we have two ratios:

5:2:11 = x:6:y

Note that in the first ratio the first value is 2, and in the second case it is 6 so let's find the value of k such that:

2*k = 6

k = 6/2 = 3

Then if we multiply the correspondent values in the first ratio by 3, we will get:

x = 5*3 = 15

y = 11*3 = 33

Then we can see that the ratios:

5:2:11 and 15:6:33 are equivalent.

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