PLEASE HELP!!! Finish the congruence statement AND THE REASON(like SAS OR ASA OR SSS OR AAS!!
WILL GIVE BRAIN!!

Good evening

Answer:

Step-by-step explanation:

Suppose M(x , y) is a point of the circle of center (6,3) and radius 10 and M is also a point of the y-axis then the coordonates of M should verify these two equations at the same time:

\(\left \{ {(x-6)^{2} +(y-3)^2=10^{2} } \atop {x=0}} \right.\)

Then

(0-6)² + (y-3)² = 100

then

36 + (y-3)² = 100

then

(y-3)² = 100 - 36

        = 64

then

|y-3| = 8

then

y - 3 = 8 or y - 3 = -8

then

y = 11   or  y = 5

then the only points that are on the edge of the circle and on y-axis are:

(0 , 5) and (0 , 11).

:)

Answer:

(0, –5)

Step-by-step explanation:

If you don't see this option there is another option, (0 , 11) is also correct

Answer:

The correct answer is: 2. t=0.45a

Step-by-step explanation:

Let t be the price of apples

and a be the number of apples

The price and quantity are directly proportional

\(t \propto a\)

Removing the proportionality symbol introduces a proportionality constant in the equation

\(t = ka\)

So far we know that cost of 6 apples is $2.70

Putting in the equation

\(2.70 = k (6)\\k = \frac{2.70}{6}\\k = 0.45\)

Putting the values of k will give us:

\(t = 0.45a\)

Hence,

The correct answer is: 2. t=0.45a

In general, any symmetrical object will have a net torque of zero if the axis of rotation is through its center of mass.

It seems that the list of examples is missing from your question, so I'll provide a general explanation of situations where the net torque is zero. Please feel free to provide a list of examples for a more specific answer.

A net torque of zero about an axis perpendicular to the page and extending from the center means that the total clockwise torque is equal to the total counterclockwise torque. This can occur when:

1. There are no external forces acting on the system, so there is no torque.
2. The external forces are acting along the line of the axis, causing no rotation and hence no torque.
3. The clockwise and counterclockwise torques cancel each other out, resulting in a net torque of zero.

Some examples of objects that have a net torque of zero about the axis perpendicular to the page and extending from the center of the object are a sphere, a cube, a cylinder, and a cone.

Please provide the list of examples you'd like me to evaluate, and I'll be glad to help you determine which have a net torque of zero.

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Answer: 616

Step-by-step explanation:

Multiply 11 times7= 77 then 77 times 8 which is 616

Answer:

126.5cm squared

Step-by-step explanation:

To find the area of the shaded figure, divide the shape into two: a triangle and a rectangle.

The rectangle's area is found by multiplying its length and width:

\(11 * 8 = 88 cm^2\)

The triangle's area is found by this formula:

\(\frac{1}{2} (base*height)\)

Deduced from the image, the height of the triangle is 7 cm.

Substituting:

\(\frac{1}{2} (11*7) = 38.5cm^2\)

Add the two areas together:

\(88 + 38.5 = 126.5cm^2\)

The area of the shaded figure is 126.5cm squared.

a). The columns of Q are orthonormal since: \(v_1.v_1 = v_2.v_2 = 1\) (magnitude or normalization) and \(v_1.v_2 = 0\) (orthogonality).

b). R = [-5/2 19/(2√26); 0 -√26]

c). QR = A

Part A

To show that the columns of Q are orthonormal, we use the Gram-Schmidt process, as follows:Consider the first column of Q, which is H.

It is normalized by finding its magnitude as follows:

|H| = √(1² + 5²) = √26

Thus, the first column of Q normalized is:

\(v_1\) = H/|H| = [1/√26; 5/√26]

Now, we consider the second column of Q, which is:

 -3  -5\(v_2\) = 1  5

The projection of v2 onto v1 is given by:

proj\(v_1(v_2) = (v_2.v_1/|v_1|^2) \times v_1 = ((v_2.v_1)/(\sqrt26)^2) \times v_1\)

where v2.v1 is the dot product between v2 and \(v_1\)

projv1(v2) = (-13/26) × [1/√26; 5/√26] =

[-1/2√26; -5/2√26]

The orthogonal vector to proj\(v_1\) (v2) is:

u2 = v2 - projv1(v2)

= [1; 5] - [-1/2√26; -5/2√26]

= [1 + (1/2√26); 5 + (5/2√26)]

= [19/2√26; 15/2√26]

The normalized vector u2 is:v2 = u2/|u2|

= [19/√26; 15/√26]

Thus, the columns of Q are orthonormal since:

\(v_1.v_1 = v_2.v_2 = 1\) (magnitude or normalization) and

v1.v2 = 0 (orthogonality)

Part B

Let's find a factor of the form R= [a b; 0 d] such that

A = QR.

We have \(Q= [v_1, v_2]\)] and

\QTA= RTQT.

Thus, we have:QTA=QTQRT

=[-1/√26 19/√26; -5/√26 15/√26][1 -3 -5 1; 5 1 5 -1]

= RT[1 -3 -5 1; 5 1 5 -1][-1/√26 19/√26; -5/√26 15/√26]  

= RT

Multiplying out matrices on both sides of the equation, we have:

[(-1/√26)(1) + (19/√26)(-3) (-1/√26)(-5) + (19/√26)(1) ] [a  b]

= [(-1/√26)(-5) + (19/√26)(5) (-1/√26)(1) + (19/√26)(-1) ] [0  d] [-5/√26)(1) + (15/√26)(-3) (-5/√26)(-5) + (15/√26)(1) ][0  0]

Simplifying,

we get:-20/√26 a + 19/√26 b = 5√26 d-20/√26 b + 4/√26 a

= -1√26 d

Solving the system of linear equations, we get:a = -5/2, b

= 19/(2√26),

d = -√26

Thus, R = [-5/2 19/(2√26); 0 -√26]

Part C

We verify that QR = A.

We have: QR= [-1/√26 19/√26; -5/√26 15/√26][-5/2 19/(2√26); 0 -√26]

=[1 -3 -5 1; 5 1 5 -1] = A

Therefore, QR = A

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Answer:

16

Step-by-step explanation:

18-7=11 2+3=5. 11+5=16

according to BODMAS rule

18 - 7 × 5

18 - 35

-17

Unresolved problems are referred to be inconsistent systems.

Find the solution to the system of equations by attempting to remove one of the variables to see whether there is a single solution, no solution, or never-ending options (If these two equations' lines all fall on the same line, then

By adding -2 to the first equation

-4x - 6y = -22

the second equation after that, adding it.

5x + 6y = 14

getting x = -8

Returning to either equation, plug in the following: the first one,

2(-8) + 3y = 11

-16 +3y = 11

3y = 27

y = 9

These two lines come together at one point since there is only one possible answer. They remain dependable.

The graphs of the equations yield two distinct lines, proving the independence of this system. Should the equations result in

In a same vein, they are interdependent.

They would have produced a constant equation, such as 0 = 0, if they had been the same line and had been solved for one variable.

Thus, (D) is still true because they are reliable and separate.

The Complete Question is :

Determine whether the system is consistent or inconsistent and whether the equations are dependent or independent.

2x + 3y = 11

5x + 6y = 14

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The expression for the arae of the sector is :

In the given circle, angle (360 - 140) = 220

Radius = 6 in

Answer: Area of sector is 69.08 unit

The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

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Answer:

By mail

Step-by-step explanation:

by mail

HAVE A NICE DAY!!!!!!

Aaron must get 570 score on exam b to be equivalent to the score in exam a.

The mean and Standard Deviation provides information about the average value and the average spread of values around it respectively.

Here in this question we are given that,

x1=50

mean=35

SD=5

then Z score will be,

z1=(x1-mean)/SD

z1=(50-35)/5

now we have,

x2

mean=40

SD=50

then Z score will be,

z1=(x2-mean)/SD

3=(x2-450)/50

x2=570

so Aaron must get 570 score on exam b to be equivalent to the score in exam a.

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[(1/2, -1/2) is a singular matrix and the inverse of it does not exist,

Nonsingular matrix is defined as a square matrix with a non-zero determinant. If the determinant is zero, the matrix is singular and if it's non-zero the matrix is nonsingular. Given matrix are nonsingular.

1. A = [-2, 4; 4, -4]

The determinant of matrix A can be found as follows:

det(A) = -2 (-4) - 4 (4) = -8A^-1 = adj(A) / det(A)

where adj(A) denotes the adjoint of matrix A.

adj(A) = [-4, -4; -4, -2]

Therefore, A^-1 = 1/8 [-4, -4; -4, -2]

Let's check the answer: AA^-1 = [-2, 4; 4, -4][1/8 [-4, -4; -4, -2]]

                                                 = [1/2, 1/2; 1/2, 1/4]A^-1 A

                                                 = [1/8 [-4, -4; -4, -2]][-2, 4; 4, -4]

                                                = [1/2, 1/2; 1/2, 1/4]

Thus, the answer is correct.

2. [[(1)/(2),(1)/(2)],[(1)/(2),(1)/(4)]]

          B = [(1/2, 1/2);

(1/2, 1/4)]det(B) = 1/4 - 1/4

                       = 0

Therefore, B is a singular matrix and the inverse of B does not exist.

3. [[(1)/(2),(1)/(4)],[(1)/(2),(1)/(4)]] :

C = [(1/2, 1/4);

(1/2, 1/4)]det(C) = 1/8 - 1/8

                        = 0

Therefore, C is a singular matrix and the inverse of C does not exist.

4. [[-(1)/(2),(1)/(4)],[(1)/(2),-(1)/(4)]] :

D = [(-1/2, 1/4);

(1/2, -1/4)]det(D) = -1/8 - 1/8

                          = -1/4D^-1 = adj(D) / det(D)

where adj(D) denotes the adjoint of matrix D.

adj(D) = [-1/4, 1/4; -1/2, -1/2]

Therefore, D^-1 = -4/[-1/4, 1/4; -1/2, -1/2] = [(1/2, 1/2);

(1/2, -1/2)DD^-1 = [(-1/2, 1/4)

(1/2, -1/4)][(1/2, 1/2);

(1/2, -1/2)] = [(1/4 + 1/4), (1/4 - 1/4);

(-1/4 + 1/4), (-1/4 - 1/4)] = [(1/2, 0);

(0, -1/2)]D^-1 D = [(1/2, 1/2);

(1/2, -1/2)][(-1/2, 1/4);

(1/2, -1/4)] = [(0, 1/8);

                  =(0, 1/8)]

Thus, the answer is correct 5. [[(1)/(2),-(1)/(2)],[-(1)/(2),(1)/(4)]] :E = [(1/2, -1/2); (-1/2, 1/4)]det(E) = 1/8 - 1/8 = 0 Therefore, E is a singular matrix and the inverse of E does not exist

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Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.

Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?

a. 5,730 years old

b. 34,380 years old

c. 40,110 years old

d. 45,840 years old

Answer:

slope: 2 as we see, with every increase in x, y increase twice the more.

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Slope = Rise / Run = 6 /3 = 2

Therefore, the slope of the line in the graph attached is 2

Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

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Answer:

Perimeter of circular garden=500m

Area=19,894 sq m

Step-by-step explanation:

250x4=1000

1000/2=500m circle perimeter

Pi x Dia=Circumference

3.14159 x Dia=500m

Dia=159.16m

Rad=159.16/2=79.58m

Area=Pi x Rad^2=2.14159 x 79.58^2=19,894 m^2

Answer: The circumference of the circular garden is 500 meters.

The area is approximately 19891 square meters.

If you use a Rounded value of 80m for the radius, the Area works out to about 20106 square meters.

Step-by-step explanation:

The total length of the rope is 1000m. 4×250=1000

That is enough to fence the circular garden twice, so the "perimeter" of that garden-- the circumference-- is 500m

To find the area, first find the diameter:

500÷π = 159.15

Area of a circle is A=πr²

The radius is half the diameter.

79.57 so r² is about 6331.4

Multiply by π to get the area:

about 19890.6 m²

Answer:x=10

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

Step 2: Multiply both sides by 2.

Answer: x=10

Step-by-step explanation:

1/2x+4=9

      -4  -4

1/2x=5

multiply by 1/2 on each side

x=10

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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The temperature at dawn is -7 F.

If it is  8 degrees colder at dawn than it is at dawn, it means that the temperature is lower in the dawn than it is in the dusk. Thus, to determine the temperature at dawn, subtract 8 from the temperature at dusk.

Subtraction is the mathematical operation that is used to determine the difference between two or more numbers. The sign used to represent subtraction is -.

Temperature at dawn = termpature at dusk - difference in termpature

1 - 8 = -7

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When frequency distributions are constructed from the same data set, the distribution with the widest class will have the smallest classes.

This refers to a mathematical or statistical set of numbers or data which have been arranged to show the frequency of occurrence of each number that can be repeatedly observed.

The different types of Frequency Distribution are:

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Let

y ------> the total payment to the phone company monthly

x -----> the number of text

we have that

March

72.60=0.05x+35

solve for x

0.05x=72.60-35

0.05x=37.6

x=752 text

April

we have

565.85=0.05x+35

solve for x

0.05x=565.85-35

0.05x=530.85

x=10,617 text

Answer:

A integer is number that can be written without a fractional or decimal component

Step-by-step explanation:

Answer:

An integer is a whole number. It doesn't matter whether it's positive or negative as long as its a whole number

(sorry if this doesn't make sense but I hope it helped)

Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

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Answer:

E

Step-by-step explanation:

I just think so. Maybe it's right

Given the sequence:

7, -14, 28, -56,

To find the 7th term of the geometric sequence, use the formula below:

where,

a is the first term = 7

n is the number of terms = 7

r = common ratio =

Thus, we have:

The 7th term is -448

ANSWER:

A) -448

The first term, a1, in the geometric series is -3.

What is Geometric Series?

A geometric series is a series for which the ratio of two consecutive terms is a constant function of the summation index. The more general case of a ratio and a rational sum-index function produces a series called a hypergeometric series. For the simplest case of a ratio equal to a constant, the terms have the form

To find the first term, a1, in a geometric series given the sum, Sn = 93, the common ratio, r = 2, and the number of terms, n = 5, we can use the formula for the sum of a geometric series:

Sn = a1 * (1 - r^n) / (1 - r)

Plugging in the given values, we have:

93 = a1 * (1 - 2^5) / (1 - 2)

Simplifying the expression:

93 = a1 * (1 - 32) / (-1)

93 = a1 * (-31)

Now we can solve for a1 by dividing both sides of the equation by -31:

a1 = 93 / -31

a1 = -3

Therefore, the first term, a1, in the geometric series is -3.

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Answer:

B, D, E

Step-by-step explanation:

If a line is parallel to another line, then the slope has to be the same. Thus we first want to find the slope of the line given, by using the slope formula: m = (y_1 - y_0)/(x_1 - x_0): (2 - 4)/(-2-3) = 2/5

We proceed to find the slope of the following answer choices:

A. (-3-(-5))/(-7-(-2)) = -2/5

B. (-1-1)/(-6-(-1)) = 2/5

C. (5 - 0)/(2-0) = 5/2

D. (2-0)/(6-1) = 2/5

E. (2-0)/(8-3) = 2/5

Thus, we have B, D, E

Answer:

B, D, E On Edge

Step-by-step explanation:

edge22