HELP ASAP, WILL GIVE BRAINLIEST, 53 POINTS!!!!

Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) is dilated using a scale factor of three fourths to create polygon A′B′C′D′. Determine the vertices of polygon A′B′C′D′.


A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3)

A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)

A′(3, −4.5), B′(1.5, −1.5), C′(−3, 1.5), D′(−3, −3)

A′(4.5, −3), B′(1.5, −1.5), C′(−1.5, 3), D′(3, 3)

The equation -cd is always defined, regardless of the values of the variables c and d.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We are given that;

The equation cd

Now,

The equation -cd is always defined, regardless of the values of the variables c and d.

The expression -cd represents the product of two numbers, -c and d. Multiplication is a well-defined operation for all real numbers, including zero. so, neither c nor d need to be non-zero for the expression to be defined.

Therefore, the equation -cd is defined for all values of a, b, c, and d, including zero

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As a resuIt, 10 (181)/181 is the sin vaIue that cοmes cIοsest tο 10 √(181)/√181. B is the apprοpriate answer, sο.

The cοst οr price οf sοmething, aIsο knοwn as its mοnetary vaIue.

The right-angIed triangIe fοrmed by the angIe's terminaI side and the pοints (-9, 10) can be caIcuIated using the Pythagοrean Theοrem tο determine the Iength οf a hypοtenuse:

h = √((-9)² + 10²) = √(81 + 100) = √(181)

Sin is pοsitive because the pοsitiοn (-9, 10) οccupies the secοnd quadrant. We are abIe tο determine the actuaI amοunt οf sin that use the definitiοn οf sin:

sin(theta) = οppοsite/hypοtenuse = 10/√(181)

We can cοmbine the twο parts οf this fοrmuIa by √181 tο οbtain the fοIIοwing resuIt:

sin(theta) = 10 × √(181)/√(181)√(181) = 10√(181)/181

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Answer:

30 miles

Step-by-step explanation:

(12 miles/inch)(2.5 inches) = 30 miles

Answer:

Sides:

MX = 4cm

BX = 8cm

BM = 6.928...cm

Angles:

m = 90°

b = 30°

x = 60°

Step-by-step explanation:

We've been given 3 pieces of info that we can use, which is more than enough

Using the sine rule, we can find the hypotenuse:

[tex]\frac{4cm}{sin30} = \frac{BXcm}{sin90}[/tex]→[tex]\frac{4sin90}{sin30} =BX = 8cm[/tex]

Now we can use Pythagoras' theorem to find the last side:

[tex]a^2+b^2=c^2[/tex] →  [tex]b^2\ = c^2-a^2[/tex] → [tex]64 - 16 = b^2 = 48[/tex] → [tex]\sqrt{48} =6.928...cm[/tex]

And since we know two of the angles, we can find the third:

[tex]x = 180 - (30 + 90) = 180 - 120 = 60[/tex]°

Answer:

Below

Step-by-step explanation:

REMEMBER: for a right triangle  sin (30) = opposite LEG/ hypotenuse

 so sin 30 =  4 / hypotenuse         now, with a calculator sin 30 = 1/2

           1/2   = 4 / hypotenuse      so hypotenuse = 8

Now it is a right triangle so Pythagorean theorem applies

 hyp ^2 = 4 ^2   +   BM^2

  8^2 = 4^2 + BM^2

     48 = BM^2     so  BM = sqrt (48 ) = 4 sqrt 3

Finally, all of the internal angles of ANY triangle sum to 180 °

  so angle x = 180 - 90 - 30 = 60°

Answer:4

Step-by-step explanation:12/3

If a system has nο sοlutiοn, it means that the lines being graphed are parallel and dο nοt intersect at any pοint.

If a system has 1 sοlutiοn, it means that the lines being graphed intersect at a single pοint.

If a system has infinitely sοlutiοns, it means that the lines being graphed are cοincident, i.e., they lie οn tοp οf each οther.

A linear equatiοn in 2 variables is an algebraic expressiοn that represents a straight line οn a 2D cοοrdinate plane.

It can be written in the fοrm οf y = mx + b, where m is the slοpe οf the line, b is the y-intercept, and x and y are the twο variables.

PART A:

If a system has nο sοlutiοn, it means that the lines being graphed are parallel and dο nοt intersect at any pοint. This implies that there are nο values οf the variables that can satisfy bοth equatiοns simultaneοusly.

PART B:

If a system has one sοlutiοn, it means that the lines being graphed intersect at a single pοint. This implies that there is οnly οne unique sοlutiοn that satisfies bοth equatiοns simultaneοusly.

PART C:

If a system has infinitely many sοlutiοns, it means that the lines being graphed are cοincident, i.e., they lie οn tοp οf each οther. This implies that there are an infinite number οf values οf the variables that can satisfy bοth equatiοns simultaneοusly since every pοint οn the shared line is a valid sοlutiοn tο the system.

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It will take 6.5 minutes to grade 338 test by the electronic grading machine.

The quality of the answer papers is a key element. The machine might not be able to reliably scan and evaluate the answers if the answer sheets are not filled out completely or if the paper has rips or smudges on it. Similar to this, the computer might not be able to recognize the right answers if the answer sheets are not properly aligned.

Given that, the machine can grade 52 test in 1 minute.

The, we can calculate the time taken to grade 338 test as follows:

time = number of tests / rate of grading

Plugging in the given values, we get:

time = 338 / 52 = 6.5 minutes

Hence, it will take 6.5 minutes to grade 338 test by the electronic grading machine.

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The highest value and lowest value of x is domain, here domain is [1, -3]

The highest value and lowest value of y is range, here range is [8, -3].

Mathematical operations are comparable to those of a soda vending machine. You can choose from a variety of sodas when you deposit a certain sum of money. Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.

A soda can be purchased with quarters and one dollar bills. If pennies are put into the machine, no soda flavour will be provided. As a result, the domain represents the possible inputs, which are quarters and one-dollar bills. No matter how much you pay, a soda machine won't give you a cheeseburger. The range represents the potential outputs we can have in this situation, that is, the  flavors of soda in the machine.

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Answer:

55 KG

Step-by-step explanation:

To convert pounds to kilograms, we can use the conversion factor 1 kg = 2.2 lbs.So,121 lbs = (121 lbs) * (1 kg/2.2 lbs)Simplifying the expression, we have121 lbs ≈ 55.0 kgRounding to the nearest tenth, we get the final answer:121 lbs ≈ 55.0 kg

Answer:

To convert 121 pounds into kilograms, we can use the conversion factor:

1 kg = 2.2 lb

Dividing both sides of this equation by 2.2, we get:

1 lb = 0.454545 kg (rounded to the nearest tenth, this is 0.5 kg)

Therefore, we can convert 121 pounds to kilograms by multiplying by 0.454545:

121 lb * 0.454545 kg/lb = 54.884545 kg

Rounding this to the nearest tenth gives:

54.9 kg

Therefore, 121 pounds is approximately equal to 54.9 kilograms when rounded to the nearest tenth.

The constant percent rate of change per unit interval is approximately 0.0305 or 3.05%.

What is the exponential functions?

An exponential function is a mathematical function of the form:

[tex]f(x) = a^x[/tex]

The given formula for the number of visitors to the county parks system is:

[tex]A = 20.6(1.03)^t[/tex]

where t is the number of years after 2010 and A is the number of visitors in thousands.

To find the constant percent rate of change per unit interval, we can take the derivative of A with respect to t:

[tex]dA/dt = 20.6(1.03)^t * ln(1.03)[/tex]

The constant percent rate of change per unit interval is given by the expression:

r = (dA/dt) / A

Substituting the values of dA/dt and A, we get:

[tex]r = [20.6(1.03)^t * ln(1.03)] / [20.6(1.03)^t]\\r = ln(1.03)\\r = 0.0305[/tex]

Hence, the constant percent rate of change per unit interval is approximately 0.0305 or 3.05%.

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Answer: 9g+10

Step-by-step explanation:

Simple addition 6+3=9

Since 10 doesnt have a variable you just add it to the end of the equation, make sure to keep the sign = 9g-10

The equation of line is y = ( -6/5 )x + 2 , where the slope is m = ( -6/5 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -6/5 )

The y intercept of the line is b = 2

So , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

On simplifying , we get

y = ( -6/5 )x + 2

Hence , the equation of line is y = ( -6/5 )x + 2 and the graph is plotted

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Answer:

Step-by-step explanation:

y = √24²+32² = √1600 = 40

find base angle Ф on the right:

Ф = sin⁻¹(32/40) = 53.13

find other base angle (sum of interior angles of a Δ is 180):

180 - 90 - 53.13 = 36.87

now you can use the Law of Sines to find z, x:

40/sin36.87 = z/sin53.13 = (x+24)/sin90

z = 40(sin53.13)/sin36.87 = 53.33

sin36.87(x+24) = 40(sin90)

x+24 = 40/sin36.87 = 66.66

x = 66.67 - 24 = 42.67

double check the answers:

y² + z² = (x+24)²

40² + 53.33² = (42.67 + 24)²

1600 + 2892 = 4444

4444 = 4444  answers are correct!

Answer:

Step-by-step explanation:

to write the proportion is a number of the girl in intramural sport is [tex]\frac{x}{y} 2/3=230[/tex]

and find the number a girl in intramural sport is 90

A) R = -19t + 1890 B) 11 years from now, the total oil reserves will be 1681 billions of barrels. C)  The world's oil reserves will be completely depleted (all used up) approximately 99.47 years from now.

The slope of a line represents the rate of change between the x and y variables, or the rise over the run. A positive slope means that the line is increasing from left to right, while a negative slope means that the line is decreasing from left to right. A slope of zero means that the line is horizontal, while an undefined slope means that the line is vertical.

A) The rate of decrease in oil reserves is 19 billion barrels per year, which can be represented as a slope of -19. The initial oil reserves are 1890 billion barrels, which is the y-intercept. Therefore, the linear equation for the total remaining oil reserves R, in terms of t (the number of years since now) is:

R = -19t + 1890

B) To find the total oil reserves 11 years from now, we can substitute t = 11 into the equation:

R = -19(11) + 1890

R = -209 + 1890

R = 1681 billion barrels

Therefore, 11 years from now, the total oil reserves will be 1681 billions of barrels.

C) If no other oil is deposited into the reserves, the reserves will be completely depleted when R = 0. We can use the linear equation to find how long it will take for the reserves to reach 0:

0 = -19t + 1890

19t = 1890

t = 99.47 years

Therefore, the world's oil reserves will be completely depleted (all used up) approximately 99.47 years from now, assuming no new reserves are discovered or added.

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The system of linear equation has infinitely number of solutions

The collection of all ordered pairs that concurrently fulfill both equations makes up the graph of a system of linear equations. It is the collection of all points that are the solutions to both equations, in other words.

The system of linear equations in this issue is stated as

y = 1/2x + 3...eq(i)

2y = x + 6...eq (ii)

The graph demonstrates that the system has an infinite number of solutions and that both lines cross one another. This demonstrates that the system is intractable.

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Answer:

Where's the question...

Answer:

1. 12

2. 6

3. 4.5

4. 7

Don't quite under #5

Explanation:

Sample mean = ΣX / n

1. 108 / 9 = 12

2. 72 / 12 = 6

3. 2 + 7 + 9 + 4 + 5 + 3 + 0 + 6 = 36 / 8 = 4.5

4. 8 + 2 + 5 + 7 + 12 + 9 + 11 + 3 + 6 = 63 / 9 = 7

Barbara's weekly average for the four-week period is 65 minutes.

What is the average?

The average, also known as the arithmetic mean, is a measure of central tendency that represents the typical value of a set of numbers. It is calculated by adding up all the numbers in the set and then dividing the sum by the total number of numbers.

To find Barbara's weekly average for the four-week period, we need to add up her weekly totals and divide the sum by 4 (since there are four weeks in the period):

Average = (48 + 115 + 62 + 35) / 4

= 260 / 4

= 65

Therefore, Barbara's weekly average for the four-week period is 65 minutes.

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Answer:

29n - 39/2.

Step-by-step explanation:

To simplify the expression 8(3n-2) + 1/2 (10n-7), we can start by using the distributive property of multiplication over addition to simplify the terms inside the parentheses:

8(3n-2) + 1/2 (10n-7) = (83n - 82) + (1/2 * 10n - 1/2 * 7)

This gives us:

24n - 16 + 5n - 7/2

Next, we can combine like terms:

24n + 5n - 16 - 7/2 = 29n - 16 - 7/2

Finally, we can simplify the expression by finding a common denominator for -16 and -7/2:

29n - 16 - 7/2 = 29n - 32/2 - 7/2 = 29n - 39/2

Therefore, 8(3n-2) + 1/2 (10n-7) simplifies to 29n - 39/2.

The correct option for the given expression is [tex]4\sqrt[3]{3}\sqrt[4]{2}[/tex]

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression, [tex]\sqrt[3]{24} \sqrt[4]{32}[/tex], we need to simplify it,

Factoring them,

24 = 2 x 2 x 2 x 3

32 = 2 x 2 x 2 x 2 x 2

Therefore,

[tex]\sqrt[3]{24} = 2\sqrt[3]{3}[/tex]

[tex]\sqrt[4]{32} = 2\sqrt[4]{2}[/tex]

[tex]\sqrt[3]{24} \sqrt[4]{32}[/tex] =  [tex]4\sqrt[3]{3}\sqrt[4]{2}[/tex]

Hence, the correct option for the given expression is [tex]4\sqrt[3]{3}\sqrt[4]{2}[/tex]

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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{22\% of 72}}{\left( \cfrac{22}{100} \right)72}\implies 15.84~\hfill \underset{ new~price }{\stackrel{ 72~~ + ~~15.84 }{\text{\LARGE 97.84}}}[/tex]

The y-value of the solution of the system of equations is given as follows:

y = -1.

The system of equations for this problem is defined as follows:

Adding the two equations, the value of y can be obtained as follows, as the x-variable is eliminated:

6y = -6

y = -6/6

y = -1.

Hence option F is correct.

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From the given scenario, AB = [17 + 28, 47 + 58] = [23, 64]

To calculate the product of matrices XY, the number of columns in X must match the number of rows in Y. In this case, X has 1 column and Y has 2 rows, so the product XY is undefined.

A general example of this with matrices is:

Let A be a 2x3 matrix:

A = [1 2 3; 4 5 6]

Let B be a 1x2 matrix:

B = [7 8]

To calculate the product AB, we need the number of columns in A to match the number of rows in B.

In this case, A has 3 columns and B has 1 row, so the product AB is:

AB = [17 + 28, 47 + 58] = [23, 64]

P.S Your question is incomplete, so I showed how to calculate the product of matrices XY,

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The value of variables are,

a = 0

c = 7

d = 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(4x^{2} y^{-2} z^{-2})^2 } = \frac{Ax^ay^c}{z^d}[/tex]

Now, We can simplify as;

⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(4x^{2} y^{-2} z^{-2})^2 } = \frac{Ax^ay^c}{z^d}[/tex]

⇒ [tex]\frac{32x^{4} y^{3} z^{- 6} }{(16x^{4} y^{-4} z^{-4}) } = \frac{Ax^ay^c}{z^d}[/tex]

⇒ [tex]\frac{2x^0y^7}{z^2} = \frac{Ax^ay^c}{z^d}[/tex]

By comparing, we get;

a = 0

c = 7

d = 2

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50

Step-by-step explanation:

plot it on the number line

Answer: 8.2 weeks.

Step-by-step explanation: If y = 4*3^t, then 600 = 4*3^t. Therefore, t = log3 (600/4), which is approximately 8.2 weeks.

The length of the diagonals will be WZ = XZ = 11 units.

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

The length of the two diagonals of the rectangle is equal. The value of x will be calculated as,

6x - 7 = 3x + 2

3x = 9

x = 3

WZ = 6x - 7

WZ = 6 x 3 - 7

WZ = 18 - 7

WZ = 11

XZ = 3x + 2

XZ = 3 x 3 + 2

XZ = 11

Therefore, the length of the diagonals will be WZ = XZ = 11 units.

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In answering the question above, the solution is If a/b = 1/4 and c/d = 1/3, fraction then ad + bc = (1/4)(bd/4) + (1/3)(bd/3) = bd/16 + bd/9, which doesn't work.

A whole can be represented by any number of equal parts, or fractions. The number of units of a particular size is expressed as a fraction in standard English. 8, 3/4. Fractions are included in wholes. Numbers are stated in mathematics as the ratio of the numerator to the denominator. In simple fractions, each of these is an integer. A complicated fraction contains a fraction in either the numerator or denominator. There is a difference between the numerators and denominators of true fractions. A sum that is a fraction of a whole is referred to as a fraction. You may assess it by dissecting the whole into smaller pieces. For example, 12 is used to represent one-half of a whole number or object.

Let's start by decomposing { into two fractions:

[tex]{ = a/b + c/d\\\\{ = (ad + bc)/bd[/tex]

If [tex]a/b = 1/2 and c/d = 1/3, then ad + bc = (1/2)(bd/2) + (1/3)(bd/3) = bd/3 + bd/6 = 3bd/6 + bd/6 = 4bd/6 = 2/3,[/tex] which works.

If [tex]a/b = 1/2 and c/d = 1/4, then ad + bc = (1/2)(bd/2) + (1/4)(bd/4) = bd/4 + bd/8 = 2bd/8 + bd/8 = 3bd/8,[/tex] which doesn't work.

If [tex]a/b = 1/2 and c/d = 1/5, then ad + bc = (1/2)(bd/2) + (1/5)(bd/5) = bd/4 + bd/25 = 25bd/100 + 4bd/100 = 29bd/100[/tex], which doesn't work.

If[tex]a/b = 1/3 and c/d = 1/4, then ad + bc = (1/3)(bd/3) + (1/4)(bd/4) = bd/9 + bd/16[/tex], which doesn't work.

If[tex]a/b = 1/3 and c/d = 1/5, then ad + bc = (1/3)(bd/3) + (1/5)(bd/5) = bd/9 + bd/25,[/tex] which doesn't work.

If a/b = 1/4 and c/d = 1/3, then ad + bc = (1/4)(bd/4) + (1/3)(bd/3) = bd/16 + bd/9, which doesn't work.

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Answer:

Step-by-step explanation:

Mark decompose 5/6 into three fractions using fractions : 1/3, 5/18, 2/9

What is fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given, fraction

5/6

Multiplying 3 with both numerator and denominator

15/18

= (6 + 5 + 4)/18

= 6/18 + 5/18 + 4/18

= 1/3 + 5/18 + 2/9

Hence, 1/3, 5/18, 2/9 are fractions Mark used to decompose 5/6.

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Answer:

Yes, it will fit.

Step-by-step explanation:

To determine whether 375 cubic inches of sand will fit into the given rectangular prism, we need to calculate the volume of the prism and compare it to the amount of sand.

The formula for the volume of a rectangular prism is:

Volume = Base x Height x Width

In this case, the base of the prism is 5 by 7 inches, so the area of the base is:

Area of Base = 5 inches x 7 inches = 35 square inches

The height of the prism is 9 inches. Therefore, the volume of the prism is:

Volume = Base x Height = 35 square inches x 9 inches = 315 cubic inches

So, the volume of the prism is 315 cubic inches, which is less than the amount of sand Jack has (375 cubic inches). Therefore, all of the sand will fit inside the rectangular prism with room to spare.

In summary, the sand will fit inside the rectangular prism because the volume of the prism is greater than the amount of sand Jack has.