Label the rotated image PQR. Let P represent A'. Q represent B', and R represent C.

The coordinates of B are (4 , -3) .

A cartesian coordinate system, which uses signed distances between two fixed perpendicular oriented lines and the point measured in the same unit of length, uniquely identifies any point in a plane by a pair of numerical coordinates.

Let the coordinates of B be (x, y)

As M is the mid point of AB , we know from the distance formula that the coordinates of M will be:

abscissae of M = (-2 + x) /2

or, 1 =   (-2 + x) /2

or, x = 4

Ordinate of M = (5 + y)/2

or , 1 = (5 + y)/2

or, y = -3

Therefore the coordinates of B are (4 , -3)

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Answer: 1/2

Step-by-step explanation:

Answer:

The correct answer seems to be 1/2

The circumference of the circle with a radius of 7 ft is 106.76 ft

The circumference of a circle is the perimeter of the circle

The given parameters are

Radius = 17 ft

As a general rule, radius are represented by the variable r

So, we have the following representation equation

r = 17

The circumference of the circle is then calculated as

C = 2πr

Next, we substitute the value of the variable r in the above equation

i.e. r = 17

So, we have the following equation

C = 2π * 17

From the question, we have

π = 3.14

So, we have the following equation

C = 2 * 3.14 * 17

Evaluate the products

So, we have the following equation

C = 6.28 * 17

Evaluate the products

So, we have the following equation

C = 106.76

Hence, the circumference is 106.76 ft

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Answer:

11. (c) c and d

12. x = 109°

13. (b) 84

14. (c) 96

15. C

Step-by-step explanation:

11. Parallel means that if the lines continued on forever, the lines will never cross. They have the same slope.

12. x is an alternate exterior angle to the angle labeled 109°. this means that the angles are equivalent.

13. y is the last unknown angle in the triangle. The interior angles of a triangle always add up to 180°.  So 180° = 55° + 41° + y.

y = 180° - 55° - 41° = 84°

14. z is a supplementary angle to y, meaning that y + z = 180°.

180° - 84° = 96° = z

15. Lines d and c are parallel meaning they have the same slope, therefore if you know the slope of one, you know the slope of the other.

I WILL BE USING LAWSOF EXPONENTS.

[tex] = {3}^{3} \times (3^{2})^{3x} \\ = {3}^{3} \times 3^{2 \times3 x} \\ = {3}^{3} \times {3}^{6x} \\ = 3^{3 + 6x} [/tex]

IF IT SAID THAT K IS THE IS THE EXPRESSION IN TERMS OF K THEN THE EXPRESSION NOW IS

[tex]3 +6 x[/tex]

HOPE THIS HELPS

Answer: False, not possible.

The human was never meant to calculate or go beyond their fingers in search of great numbers, taking count for themselves, giving them names, appropriating. If you wanted to go higher for a laugh, it was called guessing. "Give me ZERO of this, give me 14,739,628,837 of that" are words that nobody says and words that stand behind delusion.

The only "anyone" to be counting their whole life is a divine. Keep math, numbers, and geometry sacred.

Step-by-step explanation:

a) angles that share 1 side and are next to each other

<DBA, <ABE

<ABE, <EBC

b) two angles whose measures add to 180°

<ABE, <EBC

<ABD, <DBC

c) two adjacent angles whose noncommon sides lie on a line

<ABE, <EBC

<ABD, <DBC

The answer is -1 and 5

On the graph that is included with the solution, the temperature fluctuations are depicted.

A graph is a representation of the relationship between two variables, often measured along one of two right-angled axes each.

It is 56° at 6 a.m.

It rises to 61° for the next 5 hours because it is increasing by 1° per hour, and after another 4 hours it will rise to 69° because it is increasing by 2° per hour. The temperature remained constant until 6 pm, after which it fell for the following 3 hours, dropping to 66° before dropping steadily to 62° at midnight.

It is 56° at 6 a.m. The temperature rises to 61° for the next 5 hours because it is increasing by 1° per hour, and then after 4 hours it will rise to 69° again because it is increasing by 2° per hour. The temperature remained constant until 6 pm, after which it dropped for the following 3 hours, dropping to 66° before dropping steadily to 62° at midnight.

The final graph is shown in the below attached figure.

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The first choice is the correct result

Answer:

[tex]g(x)=-x^2+8x-11\\\\f(x)=x^2-8x+21[/tex]

Step-by-step explanation:

Generally when you're given the vertex of a quadratic, you can express it in vertex form: [tex]f(x)=a(x-h)^2+k[/tex], where (h, k) is the vertex, and "a" is some constant value that determines the stretch/compression and the direction (up or down)

So we know that: (h, k) = (4, 5), meaning we can plug those values into the equation: [tex]f(x)=a(x-4)^2+5[/tex]

we can change the function by changing the value of the constant "a".

we can use two arbitrary values, but in this example I'll use -1 and 1.

this gives us the following functions: [tex]f(x)=(x-4)^2+5\\g(x)=-(x-4)^2+5[/tex]

these two functions are actually very similar, the only different is they're reflected across the x-axis (and some vertical shift) since the y-value is being negated, or at least part of it.

In your question it states (of any form), so I'm assuming we can leave it in vertex form, but just in case I'll expand them further into standard form

[tex]f(x)=(x-4)^2+5\\\\f(x)=(x-4)(x-4)+5\\\\f(x)=x(x-4)-4(x-4)+5\\\\f(x)=x^2-4x-4x+16+5\\\\f(x)=x^2-8x+21[/tex]

We can also expand the other function similarly.

[tex]g(x)=-(x-4)^2+5\\\\g(x)=-[(x-4)(x-4)]+5\\\\g(x)=-[x(x-4)-4(x-4)]+5\\\\g(x)=-[x^2-4x-4x+16]+5\\\\g(x)=-[x^2-8x+16]+5\\\\g(x)=-x^2+8x-16+5\\\\g(x)=-x^2+8x-11[/tex]

The linear equation perpendicular to 5x-4y=4 is:

y = (-4/5)*x + 42/5

We want to find a line perpendicular to:

5x - 4y = 4

Solving this for y, we get:

y = 4 - 5x

y = (4 - 5x)/-4 = -1 + (5/4)*x

We can see that the slope of this line is 5/4, the slope of a perpendicular line will be the inverse of the opposite, so we get:

slope = -4/5.

Then the line is something like:

y = (-4/5)*x + b

To find the value of b, we use the fact that the line passes through (-8, 2)

2 = (-4/5)*-8 + b

2 = (-32/5) + b

2 + 32/5 = b

10/5 + 32/5 = b

42/5 = b

The linear equation is:

y = (-4/5)*x + 42/5

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The answer to the given question is Oscar wrote the correct equation that would relate kilometers to miles.

1. Table

km         miles

152          95

2.  Set the proportion with / and solve for k

/ = 152 km / 95 miles

/ = 1.6 km / 1 miles

= 1.6 , where  1.6 / 1 represents kilometers per mile.

So, Oscar is right.

Maria is wrong because:

If we solve the proportionality:

/ = 152 km / 95 miles

/ = 95 miles / 152 km

= 0.625 , where 0.625 represents miles per kilometer

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The complete question is:

"Oscar and Maria each wrote an equation that they felt represented the proportional relationship between distance in kilometers and distance in miles. One entry in the table paired 152 km with 95 miles. If represents the number of kilometers and represents the number of miles, who wrote the correct equation that would relate kilometers to miles? Explain why.

Oscar wrote the equation = 1.6, and he said that the unit rate 1.6 / 1

represents kilometers per mile.

Maria wrote the equation = 0.625 as her equation, and she said that 0.625 represents kilometers per mile."

We will simplify the complex expression shown below:

The simplification process is shown below >>>>

If we multiply out the denominator, we have:

The numerator is

The denominator is

The simplification of the equation [tex]\frac{(7^{2}.3-1 )^{4} }{(3^{2}.7-6)^{3} }[/tex] is 2453.5.

Consider the equation [tex]\frac{(7^{2}.3-1 )^{4} }{(3^{2}.7-6)^{3} }[/tex]

Solve for Numarator [tex](7^{2} .3-1)^{4}[/tex]= [tex](7^{2} .3-1)^{2} (7^{2} .3-1)^{2}[/tex]

= [tex](147-1)^{2}[/tex][tex](147-1)^{2}[/tex]

= (21316) (21316)

Solve for Denominator [tex](3^{2}.7-1)^{3\\}[/tex]

= [tex](63-6)^{3}[/tex]

= 57³

Solve both, and simplify the equation.

= [tex]\frac{(21316) (21316)}{185193}[/tex]

= 2453.5

∴ Simplification is 2453.5

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The sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse. The hypotenuse exists c = 50.

To determine the hypotenuse from the sides of a right triangle, use the Pythagorean theorem. Sum of squares is squared as c = √(a² + b²).

The longest side of a right-angled triangle, or the side opposite the right angle, exists comprehended as the hypotenuse in geometry. The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.

a² + b² = c²

⇒ c = √(a² + b²)

Where, a = 30 and b = 40, then

substitute the  values in the above equation, we get

30² + 40² = c²

900 + 1600 = c²

2500 = c²

50 = c

Therefore, the hypotenuse exists c = 50.

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The constant of proportionality of y = 9x is 9.

i.e  y ∝ x and y = 9x

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

y = 9x

y = liters of water the baseball team drinks each practice

x = number of practice

We have an equation that after four practices, the team will have consumed 36 liters of water.

y = 36

9x = 38

x = 4

The equation can be written with a constant of proportionality as:

y ∝ x

y = 9x

So,

9 is the constant of proportionality.

Thus,

The constant of proportionality of y = 9x is 9.

i.e

y ∝ x

y = 9x

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Answer: The constant of proportionality of y = 9x is 9

Answer:

t = 19.99h + 30

Step-by-step explanation:

t is the total cost and h is the hourly charge.  The 30 is a one time fee.

a) The confidence interval is (0.13, 0.35) for the males who have this blood disorder.

b) The number of African males or the sample size is 88 for the value of P to be 0.20

It is mentioned that a geneticist is interested in the proportion of the African males who have a certain minor blood disorder. In a random sample of 100 males, 24 were found to be afflicted.

So we have,

n (total males) = 100

X (afflicted males)= 24

Let P be the sample porportion,

P = X/ n

∴ P = 24 / 100 = 0.24

a) Here it is given to find the confidence interval if the proportion of males is 99% who have this blood disorder so,

c = 99 % = 0.99

∴ α = [tex]1 -[/tex] c = 1 - 0.99 = 0.01

⇒ α/2 = 0.01/2 = 0.005

Using Z table,

Z of α/2 = [tex]Z_{0.005}[/tex] = 2.576

Margin of error E = [tex]Z_{0.005}\sqrt[2]{\frac{P(1-P)}{n} }[/tex]

                            = 2.576 x [tex]\sqrt{\frac{0.24(1-0.24)}{100} }[/tex]

                            = 0.11

Now, 99 % confidence interval is P ± E

P-E < P < P +E

0.24 - 0.11 < P' < 0.24 + 0.11

P' = (0.13, 0.35) is the required confidence interval.

b) It is given to find the the number of African males when

P = 0.20

Z = 2.576

E = 0.11

Now E = [tex]Z_{0.005}\sqrt[2]{\frac{P(1-P)}{n} }[/tex]

⇒ 0.11 = 2.576 x [tex]\sqrt[2]{\frac{0.20(1-0.20)}{n} }[/tex]

⇒ 0.0427 = [tex]\frac{0.4}{\sqrt{n} }[/tex]

⇒ [tex]\sqrt{n}[/tex] = 9.37

⇒ n = [tex](9.37)^{2}[/tex]

⇒ n = 87.7969

Hence the approximate number of males is 88 for the proportion of males with this blood disorder to be 0.20

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Based on the ratio of the weights of objects in Planet A to Planet B, an elephants weighing 4,500 pounds on Planet A would weigh 135 pounds on Planet B

The ratio of the weight of an object in Planet A is 100 to 3 on Planet B. This means that every 100 pounds on Planet A is 3 pounds on Planet B.

If an elephant on Planet A is 4,500 pounds, on Planet B it would weigh:

Weight on Planet B = (4,500 x 3) / 100

Weight on Planet B = 13,500 / 100

Weight on Planet B = 135 pounds

In conclusion, the weight of the elephant on Planet B would be 135 pounds.

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If we solve the given equation for t we get that t=-2

The equation given,

9t+5(t+3) = -(t+13) +t

⇒9t + 5t + 15 = -t -13 +t

⇒14t + 15 = -13                    (∵-t+t=0)

⇒14t = -13-15                       (bringing 15 from left hand side to right hand      side the sign is flipped and 15 becomes -15)

⇒14t = -28

⇒[tex]t=\frac{-28}{14}[/tex]                            (dividing both sides by 14)

⇒t = -2

Thus on solving the equation we get t = -2

Your question was incomplete but most probably your full question was

Solve for t when this equation is given, 9t+5(t+3) = -(t+13) +t

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The statement that shows the correct measure of ∠A'B'C' is
m∠ABC = m∠A'B'C'.

What type of transformation does rotation do?
Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point. A rotation produces a new figure known as the image. The picture matches the original figure exactly.
The rotation will typically be at a similar angle, even if a figure can be rotated by any number of degrees. Positive degrees will cause the figure to revolve counterclockwise. The graphic will turn clockwise if the degree value is negative. Any point on the figure can be rotated.

Given, ΔABC with co-ordinates (3, 4), (5, 3) and (3, 2); also ∠ABC = 53.13°
Again, ΔABC is rotated counter-clockwise by 90° to make the  ΔA'B'C'.
Thus, new triangle having co-ordinates (-4, 3), (-3, 5) and (-2, 3) is obtained.
Rotation retains congruence since it is a transformation that does not alter side length or angle measure.
Thus, we have ∠A'B'C' = 53.13°
Therefore, ∠ABC = ∠A'B'C' = 53.13° i.e. m∠ABC = m∠A'B'C'.

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In linear equation ,The mean  number that the test positive for the HIV virus is 2.1 .

What in mathematics is a linear equation?

Let x be the number of blood samples test positive for the HIV virus in a sample of 70 blood test.

Here X ~ Binom( n = 70, p = 0.03)

Using binomial distribution property , the mean of X is

μ = ηp

    = 70 * 0.03  = 2.1

The mean  number that the test positive for the HIV virus is 2.1 .

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Answer:

[tex]2\frac23[/tex]

Step-by-step explanation:

Hello!

Evaluate the function for -2/3, by plugging it in for x in the equation.

The evaluated value is [tex]2\frac23[/tex].

Answer:

Step-by-step explanation:

The absolute value of negative two third is really 2/3 but if your trying to reduce it to the lowest term its 0.66 or 0.67  However I would just put only 2/3 in the box, confidently knowing it would be scored correct.  

The pay for the given weekly time is, $102.

What is the pay wage?

The key distinction between a salary and wages is that wage earners are compensated by the hour, whereas salaried employees receive set payments every pay period.

In the given example the total time for the morning and the afternoon is given.

The total time for the morning is 4 hours and the total time for the afternoon is 4.5 hours.

So, the total number of hours are 4 + 4.5 = 8.5 hours.

The wage of each hour is $12.

So, the wage of 8.5 hours is,

8.5 x $12 = $102.

Therefore, the pay for the given day of a weekly time card given a wage of $12/hr is $102.

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The statement that is true regarding Rick's votes is D. Rick has 32 more votes than Jami.

From the information, three students are running for class president at Madison High School. Helen has h votes, Jami has h - 22 votes, and Rick has h + 10 votes

Rick = h + 10

Jami = h - 22

In this case, it's important to note that the difference between Jami and Rick will be:

= 10 - (-22)

= 10 + 22

= 32

Therefore, Rick will have 32 more votes.

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Three students are running for class president at Madison High School. Helen has h votes, Jami has h - 22 votes, and Rick has h + 10 votes. Which of the following statements is true regarding Rick's votes?

A. Rick has 10 more votes that Jami

B. Rick has 22 more votes that Jami

C. Rick has 5 more votes than Helen

D. Rick has 32 more votes than Jami.

Answer:

y = 1.15x

Step-by-step explanation:

15% = 0.15

100% = total bill

Total bill + 15% = 115% or 1.15

x × 1.15 = y

The original coordinates of JKL:

J(-3, -3), K(-4, 2) and L(2,1)

First, it is translated by the algebraic rule (x,y)->(x+2, y-3):

J(-3, -3)-> J'(-3+2, -3-3)=J'(-1, -6)

K(-4, 2) -> K'(-4+2, 2-3)= K'(-2, -1)

L(2,1) -> L'(2+2, 1-3)= L'(4, -2)

Then, this image is translated by (x,y)-> (x-2, y-1)

J'(-1, -6) -> J''(-1-2, -6-1) = J''(-3, -7)

K'(-2, -1) -> K''(-2-2, -1-1)= K''(-4, -2)

L'(4, -2) -> L''(4-2, -2-1)= L''( 2, -3)

Coordinates for triangle J''K''L'':

J''(-3, -7), K''(-4, -2) and L''( 2, -3)

2. To find algebraic rule that represents JKL to J''K''L'':

Answer:  21 x=4 ​

Solve the system of equations

Steps:

​ Evaluate

{ 7x−7 x=4 ​

Calculate

{ x=4 21 ​

Solution

{ 21 x=4 ​

The gigabyte needed will be g<2.2 as per the given condition that is- " Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per gigabyte. She wants to keep her bill under $60 per month."

A mathematical statement of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. The phenomenon of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is referred to as inequality. To different people and in various contexts, the word "inequality" may mean different things. The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).

Make use of the following steps to solve an inequality: Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the numbers on the other by adding or subtracting quantities.

Here,

Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

So the inequality will be,

49+5g<60

5g<11

g<2.2

The required gigabyte will be g<2.2 under the following circumstances: "Ella's cell phone plan has a fixed monthly fee of $49 and a per-gigabyte charge of $5. She wants to keep her monthly bill under $60."

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