2. AB, with A(-3, 4) and B(3,-2), is reflected across the line x=1. Find the coordinates of the
endpoints of the image after this transformation.

Answer: For example, in order to explain why 1/3 + 1/4 = 7/12, we considered the task of dividing 7 apples between 12 boys under the restriction that an apple ... How many halves are in the whole? ... 1 = 3 × 1/3, 2 = 6 × 1/3, 3 = 9 × 1/3, 4 = 12 × 1/3.

Step-by-step explanation:

boom your nice wanna be my friend

I hope this helps you

y=10-8x

2(10-8x)-4x=40

20-16x-4x=40

-20x=20

x=-1

y=10-8(-1)=18

(-1,18)

Answer:

(-1, 18)

Step-by-step explanation:

(2y-4x=40)x2

4y-8x = 80

4y-8x+y+8x=80+10

5y = 90

y = 90/5

y = 18

Substituting y into the first equation:

18 + 8x = 10

8x =-8

x = -1

Answer:

333 hours

Step-by-step explanation:

you didvide 999by 3

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

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

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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The equation of the sinusoidal model is y = 2 · sin (4 · x) + 3.

Sinusoidal models are periodic equations that use trigonometric functions and are defined by the following equation:

y = A · sin (2π · x / T) + B       (1)

Where:

The amplitude is equal to the half of the difference between maxima and minima:

A = (5 - 1) / 2

A = 4 / 2

A = 2

The midpoint is equal to the average of the minima and maxima:

B = (5 + 1) / 2

B = 6 / 2

B = 3

The period is the "horizontal" distance in which a cycle is completed:

T = 0.5π

Then, the equation of the sinusoidal model is:

y = 2 · sin (2π · x / 0.5π) + 3

y = 2 · sin (4 · x) + 3

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Answer:

$976

Step-by-step explanation:

Straight time pay= $15.25(hourly rate) × 40(hours worked)= $610

Overtime Rate = 15.25×2= $30.50

Overtime Pay= $30.5 × 12 (Hours worked overtime)= $366

Total Pay= Basic wage + Overtime Wage = $976

Answer:

85 mi

Step-by-step explanation:

Let d = the distance in miles traveled

Let M = the time in hours for Maria to travel d miles

\(m+\frac{3}{4} =\) time in hours for Ricky to travel d miles

(Note that \(\frac{3}{4}\) hrs = 45 min)

----------------------

Maria's equation:

d = 51m

Ricky's equation:

d = 24 · \((m+\frac{3}{4} )\)

----------------------

Substitution:

51m = 24 · \((m+\frac{3}{4} )\)

51m = 24m + 45

6m = 10

m = \(\frac{5}{3}\)

----------------------

d = 51m

d = 51 · \((\frac{5}{3})\)

d = 85

----------------------

The distance traveled is 85 mi

If it takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, the distance traveled is 85 miles

Speed is the ratio of distance traveled to time taken. Mathematically:

Distance = Speed/Time

According to the given question:

Set up the Maria equation:

d = 51m

Set up Ricky's equation:

d = 24 · (m+3/4)

Substitute

51m = 24 · (m+3/4)

51m = 24m + 45

6m = 10

m = 5/3

Determine the required distance

d = 51m

d = 51 · 5/3

d = 85

Hence the distance traveled is 85 mile

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Answer:

If you are looking for x it equals 80 degrees

Step-by-step explanation:

vertical angles are congruent

Answer:

3.125π m²

Step-by-step explanation:

First let's find the area of a full circle with diameter of 5m. Since we need the radius to find the area, we divide the diameter by two to get the radius.

5m/2=2.5m

Now let's find the area of a full circle

A=πr²

A=π2.5²

A=6.25π

Now we divide it by two to get the area of a semicircle

6.25π/2=3.125π m²

The solution of a system of two linear equations interprets the point of intersection of the two lines geometrically

When the two lines intersect each other at a point, then the system of two linear equations has a unique solution.

If two linear equations in the given system represent two lines parallel to each other, then the system becomes inconsistent and in that case, it has no solution.

If the system is dependent i.e. there is only one linear equation in two variables, then every point on the line is the solution of the equation.

So, in that case, it has infinitely many solutions.

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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Answer:

The ordered pair that is a solution is (2, 10)

Step-by-step explanation:

2x + 6 = 4x + 2  Subtract 2x from both sides

2x - 2x + 6 = 4x - 2x + 2

6 = 2x + 2  Subtract 2 from both sides

6 - 2 = 2x + 2 -2

4 = 2x  Divide both sides by 2

2 = x

Substitute 2 for x in either of the two original equations.

y = 2x + 6

y = 2(2) + 6

y = 4 + 6

y = 10

The ordered pair that is a solution is (2, 10)

Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

Answer:

im study about history it was my favourite subject!

The expression in terms of first power of cosine cos4x*sin2x = 1/16 + cos(2x)/16 - cos(4x)/16 - cos(4x)cos(2x)/16.

How to lower the power of expression in trigonometry?

sin2x+cos2x = 1 and cos2x = (1+cos(2x))/2

Using the first identity, we have sin2x = 1-cos2x.

So we have that cos4x*sin2x = cos4x(1-cos2x)

Expanding, we have cos4x-cos6x.

Since cos2x=  (1+cos(2x))/2, this implies cos4x = ((1+cos(2x))/2)² and cos6x=((1+cos(2x))/2)³.

Expanding each one, we have

cos4x - cos6x = 1/4(1+2cos(2x) + cos2(2x)) - 1/8(1+3cos(2x) + 3cos2(2x) + cos3(2x)).

Simplifying we get

cos4x - cos6x = 1/8 + 1/8(cos(2x) - cos2(2x) - cos3(2x)).

cos2(2x) = 1/2(1+cos(4x)) and cos3(2x)

= cos2(2x)*cos(2x)

= 1/2(1+cos(4x)) * cos(2x)

= 1/2(cos(2x) + cos(4x)*cos(2x))

Substituting, we get

cos4x - cos6x = 1/8 + 1/8(cos(2x) - 1/2(1+cos(4x)) - 1/2(cos(2x) + cos(4x)*cos(2x)))

Cleaning it up, we get

cos4x*sin2x = 1/16 + cos(2x)/16 - cos(4x)/16 - cos(4x)cos(2x)/16.

Hence, The expression in terms of first power of cosine cos4x*sin2x = 1/16 + cos(2x)/16 - cos(4x)/16 - cos(4x)cos(2x)/16.

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Answer:

Step-by-step explanation:

1) one half  = 1 + 1/2

Required butter for a recipe = 2/3 c

Required butter for a half recipe = \(\frac{2}{3}*\frac{1}{2}=\frac{1}{3}\)

Now , Required butter for the increased (1 1/2) recipe = \(\frac{2}{3}+\frac{1}{3}=\frac{3}{3}=1\) c

2) Increased recipe by one third ⇒ 1 + 1/3

Required butter for a recipe = 4/5 c

Required butter for 1/3 of the recipe =\(\frac{4}{5}*\frac{1}{3}=\frac{4}{15}\)

Now , Required butter for the increased (1 1/3) recipe is

\(=\frac{4}{5}+\frac{4}{15}\\\\=\frac{4*3}{5*3}+\frac{4}{15}\\\\=\frac{12}{15}+\frac{4}{15}\\\\=\frac{16}{15}\)

3) Increased recipe by one half = 1 + 1/2

Required butter for a recipe =  7/8 c

Required butter for 1/2 of the recipe = \(\frac{7}{8}*\frac{1}{2}=\frac{7}{16}\)

Now , Required butter for the increased (1 1/2) recipe is

\(=\frac{7}{8}+\frac{7}{16}\\\\=\frac{7*2}{8*2}+\frac{7}{16}\\\\=\frac{14}{16}+\frac{7}{16}\\\\=\frac{21}{16} \ c\)

Answer: B. (1, 8)

Step-by-step explanation:

Hope this helps! :)

Answer:

Step-by-step explanation:

100

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

35.6

Step-by-step explanation:

By the Pythagorean Theorem:

\( {x}^{2} + {91.3}^{2} = {98}^{2} \)

\(x = \sqrt{ {98}^{2} - {91.3}^{2} } = 35.6\)

Answer:

590,000 gallons

Explanation:

The rocket carried 600,000 gallons of fuel at liftoff.

It burned about 8% of its remaining fuel every 15 seconds.

This is an example of a reduction by a constant factor. We can model it using the depreciation function below:

Note: t is in minutes.

So, the amount of fuel remaining in the first stage 2 minutes after liftoff will be:

In 2 minutes after liftoff, the amount of fuel remaining, to the nearest 10 thousand gallons is 590,000.

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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(a) f(x) =  \(log_2(x)\) is a logarithmic function

(b) g(x) = ∜x is a root function

(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function

(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2

(e) v(t) = \(5^t\)is an exponential function

(f) w(θ) = sin θ \(cos^{2}\theta\) is a trigonometric function.

(a) f(x) = \(log_2(x)\) is a logarithmic function. Logarithmic functions have the logarithm of the independent variable as the output. Here, the logarithm base is 2.

(b) g(x) = ∜x is a root function. Root functions have the square root or higher roots of the independent variable as the output. Here, the root is a cube root.

(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function. Rational functions are functions that are expressed as the quotient of two polynomials. Here, the numerator is a cubic polynomial and the denominator is a quadratic polynomial.

(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2. Polynomials are functions that are expressed as a sum of powers of the independent variable, with coefficients. The degree of a polynomial is the highest power of the independent variable.

(e) v(t) = \(5^t\) is an exponential function. Exponential functions have the independent variable as the exponent. Here, the base is 5.

(f) w(θ) = sin θ \(cos^{2}\theta\) is an algebraic function and a trigonometric function. Algebraic functions are functions that can be expressed using arithmetic operations and algebraic expressions. Trigonometric functions are functions that involve the ratios of the sides of a right triangle. Here, the function is a combination of sine and cosine functions.

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The complete question is -

Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.

(a) f(x) =  \(log_2(x)\)    

(b) g(x) = ∜x    

(c) h(x) = \(2x^3/(1 - x^2)\)    

(d) u(t) = 1 - 1.1t + \(2.54t^2\)                    

(e) v(t) = \(5^t\)    

(f) w(θ) = sin θ \(cos^{2}\theta\)

The answer of the given question based on the  measurement of angle ∠D the answer is  the measurement of angle ∠D is 40°degrees.

In mathematics, circumference is distance around edge of a circle. It is the total length of boundary of a circle, and is also referred to as perimeter of a circle. The circumference of circle is proportional to its diameter, which is  distance across the circle passing through its center.

The formula for calculating circumference of circle are:

C =πd or C =2πr

where C is circumference, d is diameter of  circle, r is radius of  circle, and π (pi) is  mathematical constant approximately equal to the 3.14159.

The circumference is important measurement in geometry and is used to solve various problems related to circles, like finding area, volume, and surface area of circles, as well as calculating  length of arcs and  measure of angles formed by intersecting chords, secants, and tangents.

Using the Two Secants Theorem, we can say that:

m∠D = 1/2 (mAB - mAC)

From the given diagram, we can see that mAB = 130° degrees and mAC = 50° degrees.

Therefore,

m∠D = 1/2 (130 - 50) = 1/2 (80) = 40° degrees.

So the measurement of angle D is 40° degrees.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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6(3x² + 19x - 14)

Explanation:

The given expression: 18x² + 114x - 84

we need to find a factor that is common to all the numbers in the expression.

One of the factor is 2

We divide all the expression by 2:

= 18x²/2 + 114x/2 - 84/2

= 9x² + 57x - 42

We check again for another number that can divide all coefficient without a remainder

Another factor is 3

We divide all the expression above by 3:

= 9x²/3 + 57x/3 - 42/3

= 3x² + 19x - 14

We check agian for any other factor. There is no other factor except 1. 19 cannot be divied any further.

From the above, we say the factors of the given expression = 2×3 = 6

18x² + 114x - 84 = 6(3x² + 19x - 14)

The factorisation = 6(3x² + 19x - 14)

Answer:

(x-7) squared over 8

Step-by-step explanation:

\(y=\frac{(x-7)^{2} }{8}\)

Answer:

6x

Step-by-step explanation:

first you have to find the GCF of 6 and 12 then th GCF of

\( {x}^{2} and \: x\)

finally

6x

if its helpful ❤❤

THANK YOU

Answer:

The last one.

Step-by-step explanation:

The last table because y = 5x   ( a = 5):

0 = 0*5

25 = 5*5

75 = 15*5

250 = 50 *5