use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x-y=27 and 5x+4y=42​

Answer:

4

Step-by-step explanation:

Answer: its c i took the test

Step-by-step explanation:

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Explanation:

For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure

exterior angle = 40

We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180

interior angle = 180-(exterior angle) = 180-40 = 140

This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.

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side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.

Answer:

C. 21/26

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in our coordinates:

m = (5 + 16)/(18 + 8)

m = 21/26

Answer:

C. 21/26

Step-by-step explanation:

Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.

Here, our y-coordinates are -16 and 5, so:

5 - (-16) = 5 + 16 = 21

Our x-coordinates are -8 and 18, so:

18 - (-8) = 18 + 8 = 26

Now, we divide: 21/26.

The answer is thus C.

~ an aesthetics lover

Answer:

[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

Step-by-step explanation:

[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

The inverse of the linear function, f(x),  f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is  f⁻¹(x) = 3 (x -5) / 5

The inverse of a function is a function that reverses the effect the original function.

Here, we have,

The original function is; f(x) =5x/3 +5

The inverse of f(x) can therefore be found by making x the subject of the equation as follows;

f(x) = 5x/3 +5

f(x) -5 = 5x/3

(f(x) -5) 3 = 5·x

x = (f(x) -5) 3 / 5

x = 3 (f(x) -5) / 5

Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;

f⁻¹(x) =  3 ((x) -5) / 5

f⁻¹(x) = 3 (x -5) / 5

The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.

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Answer:

28 miles in 7 minutes, 240 miles in an hour

Step-by-step explanation:

We can first simplify the rate to miles per minute. Since the plane goes 12 miles in 3 minutes, we can divide it by 3 to find how much it travels in one minute. 12 divided by 3 is 4 and 3 divided by 3 is 1

The plane travels 4 miles a minute

To find how much it travels in 7 minutes, multiply by 7

4x7 is 28

28 miles in 7 minutes

To find an hour, multiply by 60

4x60= 240

240 miles in an hour

Answer: 0.01.

Step-by-step explanation:

Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.

i.e. each place in 5 digit number has 10 choices.

Total ways to make such a number = [tex]10^5=100000[/tex].

If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000  [as 4 and 2 can be put on first and second place in 1 way ]

Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]

Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.

Answer:

1/1

Step-by-step explanation:

because that is it

Answer:

Range { 2,4,9,16}

Step-by-step explanation:

The range of the function is the output of the system

Range { 2,4,9,16}

Answer:

Step-by-step explanation:

Range is ll the y-points the outputs {2,4,9,16}

Answer:

-1, c

Step-by-step explanation:

Each dot represents 1.  

0 - 1 = -1

As labeled, c represents 2.

Answer:

PARALLELOGRAM have 2 pairs of congruent angles

Step-by-step explanation:

QUADRILATERALS have one pair of parallel lines. If it has two sets, it NOW become a PARALLELOGRAM.

The statement first is All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

A figure enclosed by the four sides and the sum of all the angles are equal to 360.

Properties of a quadrilateral are:-

A quadrilateral has four sides (edges)

A quadrilateral has four vertices (corners)

A quadrilateral has interior angles that add to 360 degrees:

Types of quadrilateral are square, rectangle, rhombus, trapezoid, and parallelogram.

So here  All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.

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The probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be 4.167%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1 to 6.

Each player chooses one card and rolls the cube to determine the number of spaces to move on the game board.

Then the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be

[tex]\rm P = \dfrac{2}{8}\times \dfrac{1}{6}\\\\\\P = \dfrac{1}{24}\\\\\\P = 0.04167 \ or \ 4.167\%[/tex]

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Answer:x=8 Y=-6

Step-by-step explanation:

14-2.5x=1.5x-18

+18. +18

32-2.5x=1.5x

+2.5x =2.5x

32= 4x

Divide 4 to both sides you get

8=x

Y=14-2.5(8)

Y=14-20

Y=-6

Answer:

[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}[/tex]

Step-by-step explanation:

[tex]\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\[/tex]

[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}[/tex]

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800

Step-by-step explanation:

Greatest is always the number with the most digits.

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800

Step-by-step explanation:

To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.

[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]

Area of a rectangle is 27 cm²

Given:

Perimeter of a rectangle = 24 cm

Length = 3x

Width = x

p = 2(l + w)

24 = 2(3x + x)

24 = 6x + 2x

24 = 8x

24/8 = x

3 = x 

Width = 3 cm ; Length = 3x = 3(3) = 9 cm

Area = length * width

        = 9cm * 3 cm

Area = 27 cm² 

Answer:

Area of a rectangle is 27 cm²

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

The statement which best describes what is happening in section C is His car is slowing down.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

The graph is attached below.

There are 4 sections on the graph.

In the section A, the car is speeding up since the speed is increasing as the time increases.

In the section B, the speed is constant as the time increases. This means his car is traveling at a constant speed.

In the section C, speed is decreasing with time. So the car is slowing down.

In the section D again the car travels at a constant speed.

Hence in section C, car is slowing down.

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Answer:

1

Step-by-step explanation:

Halves:

0

0.5

1

1.5

2

1 1/16 = 1.0625

1.0625 is between 1 and 1.5, but it is much closer to 1 than to 1.5, so answer is 1

Answer:

20160

Step-by-step explanation:

If there is no repeat of the alphabets, the answer will simply be 8! = 40320 (8 words)

but, there is B which repeated 2 times.

So, 8!/2!

Answer:

20160

Step-by-step explanation:

Let's write the word PROBABLY. There are 8 letters in total, but the letter B repeats twice. So, instead of just doing 8! or 1*2*3*4*5*6*7*8, you have to exclude the two B's.

So, you have to do 8! / 2! because the 2! is the two B's.

Hope this helps!! :)

Answer:

14cm² is the area of the shaded region

Step-by-step explanation:

recognize that those two small triangles plus that arc area is equal to 1/4 of the area of the circle.

56 / 4 = 14cm

Answer:

Step-by-step explanation:

the answer is b

The product of the given polynomials is 3x⁴-x³+3x²+18x+4. Therefore, option B is the correct answer.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given expression are 3x² + 5x + 1 and x² - 2x + 4

Now,

           3x² + 5x + 1

         × x² - 2x + 4

         __________

           12x²+20x+4

    -6x³-10x²-2x

3x⁴+5x³+x²

_______________

3x⁴-x³+3x²+18x+4

Therefore, option B is the correct answer.

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Answer:

second and third choice

Step-by-step explanation:

supplamentary = add up to be 180

Answer:

A, B, D

Step-by-step explanation:

Answer:

Answer B

Step-by-step explanation:

1.  (1, -4) is NOT a solution because (1) - 2(-4) < 4 is false.

2.  (-8, 2):  -8 - 2(2) < 4 is true, and in simplified form is -12 < 4 (true)  We must check whether this point (-8, 2) ALSO satisfies y > -2x - 5:

2 > -2(-8) - 5.  Yes, this is true, so the given point satisfies both inequalities in Answer B.

Answer:

Step-by-step explanation:

45-37

8x17 = 136

Answer:

see below

Step-by-step explanation:

-1.1 x + 6.4 >- 1.3

Subtract 6.4 from each side

-1.1 x + 6.4 -6.4 >- 1.3-6.4

-1.1x > -7.7

Divide each side by -1.1, remembering to flip the inequality

-1.1x/-1.1< -7.7/-1.1

x < 7

There is an open circle at 7 and a line going to the left

Hey there! :)

Answer:

C.

Step-by-step explanation:

Given:

-1.1x + 6.4 > -1.3

Subtract 6.4 from both sides:

-1.1x >  -7.7

Divide both sides by -1.1. Flip the sign because you are dividing by a negative sign.

-1.1x/ (-1.1) < -7.7/(-1.1)

x < 7.

Therefore, C is the correct answer. Since the sign used is < without the equal to, an open circle would be used.

Answer:

-6634

Step-by-step explanation:

(5m)² - (2n-3m)³ if m=-3 and n=5

= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3

= (-15)^2 - (10 - (-9))^3

= 225 - (19)^3

= 225 - 6859

= -6634