if three consecutive vertices of parallelogram are A (-1,-3) B (4,2) C (-7,5) find the fourth vertex ​

Answer:

Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term

24x3=72

subtract 72 to find the term

8-72=-64

Should be -64 but we will still continue the pattern to double check

8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64

-64 is the 25th term

Hope this helps

Step-by-step explanation:

Step-by-step explanation:

The answer as a decimal is 5.16666667

Answer:

The answer is 5

Step-by-step explanation:

It is 5 because when you subract a positive number to a negative number it is realy just adding them together so 4 1/3 - (-2/3) is the same as 4 1/3+2/3

Answer:

170.5 is the answer from the TI-84

Step-by-step explanation:

Answer:

(x+1)(x+2)

Step-by-step explanation:

Answer:

(x-1)(x-2)

Explanation:

To factor x^2-3x+2 as (x+a)(x+b) we need to find number a and b such that a+b=-3 ab=2

Summary of above: (−1)+(−2)=−3

So the integers we are looking for are

−1 and −2

Therefore, x^2-3x+2=(x-1)(x-2)

Answer:

52 and 45

Step-by-step explanation:

Let's call the two numbers x and y.

x+y=97

x-y=7

Let's add together the two equations:

2x=104

x=52

Since 52-y=7, y must be 45. Hope this helps!

If the sum of two numbers be 97 and their difference is 7 then the first number is 52 and second will be 45.

An arithmetical value, expressed by a word representing a particular quantity and used in counting and making calculations.

let the first number is x. Because the sum of both numbers is 97 then the second number will be 97-x.

We have been given that their difference is 7 so by calculating the difference between the numbers we will get

x-(97-x)=7

x-97+x=7

2x=104

x=52

Calculating the second number through 97-x=97-52=45.

Hence the required numbers are 52 and 45.

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Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

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Answer:

A. X=6 only

Step-by-step explanation:

Answer:

6 inches per 1/2 of an hour

Step-by-step explanation:

in between 4 pm and 5 pm, the water level grows by 12 inches. in between 3:30 pm and 4 pm, the water level grows by 6 inches.

Answer:

.41

Step-by-step explanation:

Take what  2/3 and make it into a decimal. Then do the same with the 1/4. Then you minus the biggest number from the smallest number then it gives you .41.

Answer:

y=-2x-2

Step-by-step explanation:

Since this line is supposed to be parallel it will have the same slope.

y=-2x+b

no plug in the (0,-2)

-2=b

y=-2x-2

Answer:

b

Step-by-step explanation:

Answer:

A. 8 1/4 * 11 1/2 * 14=1328 1/4 ft^2

OR

8 1/4 height times 11 1/2 width times 14 in length equals 1328 1/4 feet squared

B. 8 1/4 * 14 1/2 * 14=1674 3/4

OR

8 1/4 height times 11 1/2 width plus 3 so 14 1/2 width times 14 equals 1674 3/4 feet squared

Step-by-step explanation:

g(x) is shifted 5 units right and 2 units up from f(x). Therefore, option B is the correct answer.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

The given functions are f(x)=x and g(x)=x+5+2.

Translation rules:

When the shape is moved towards the right by k units, then replace x with x + k.

When the shape is moved up by k units, then replace y with y + k.

So, the translation is g(x) is shifted 5 units right and 2 units up from the parent function.

Therefore, option B is the correct answer.

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Answer:

D

Step-by-step explanation:

Izan can use the slope formula to show that the slope of KL and MN are equal.

Answer:

The claim is not true

Step-by-step explanation:

We are given that A local retailer claims that the mean waiting time is less than 8 minutes.

[tex]H_0:\mu=8[/tex]

[tex]H_a:\mu<8[/tex]

A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes.

[tex]\bar{x}=6.3[/tex]

s = 2.1

n = 20

Since n <30 and population standard deviation is unknown

So,we will use t test

So,[tex]t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t=\frac{6.3-8}{\frac{2.1}{\sqrt{20}}}[/tex]

t=-3.62

α = 0.01

Degree of freedom = df=n-1=20-1=19

[tex]t_{df,\frac{\alpha}{2}}=t_{19,\frac{0.01}{2}}=2.861[/tex]

t calculated < t critical

So, we failed to reject null hypothesis

Hence the claim is not true

Step-by-step explanation:

C

Answer:

The answer is C

Step-by-step explanation:

I took the test and got it right :)

hopefully this helps you :)

pls mark brainlest ;)

Answer:

The equation is,

[tex]y = - \frac{4}{3}x - \frac{2}{3} [/tex]

Step-by-step explanation:

When a line is parallel to the other line, they will have the same gradient :

[tex]12x + 9y = 3[/tex]

[tex]9y = - 12x + 3[/tex]

[tex]y = - \frac{12}{9} x + \frac{3}{9} [/tex]

[tex]y = - \frac{4}{3} x + \frac{1}{3} [/tex]

We have already found the gradient. Next, we have to substitute the gradient and coordinates into the slope-form equation, y = mx + b :

[tex]y = mx + b[/tex]

Let m = -4/3,

Let x = -5,

Let y = 6,

[tex]6 = - \frac{ 4}{3} ( - 5) + b[/tex]

[tex]6 = \frac{20}{3} + b[/tex]

[tex]b = 6 - \frac{20}{3} [/tex]

[tex]b = - \frac{2}{3} [/tex]

Answer:

Mean: 17

Median: 16

Mode: 10

Step-by-step explanation:

8, 10, 10, 11, 16, 17, 19, 21, 41

Median: (the middle number in the number list/data set) 16

Mode: 10

Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17

The mean is equal to 17. The value of the median is 16 and the value of the mode is 10.

The mean of the numbers is defined as the ratio of the sum of the total numbers to the total count of the numbers.

The given numbers are,

8, 10, 10, 11, 16, 17, 19, 21, 41

Mean = ( 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 ) / 9

Mean = 153/9

Mean = 17

The median is calculated by arranging the numbers in ascending order and the middle term of the data.

8, 10, 10, 11, 16, 17, 19, 21, 41

The median is 16.

The mode is calculated as the highest repetition in the data,

8, 10, 10, 11, 16, 17, 19, 21, 41

Mode: 10

Therefore, the mean is equal to 17. The value of the median is 16 and the value of the mode is 10.

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Answer:8 in the hundreds place is 10 times the value of the 8 in the tens place.

Step-by-step explanation:its easy

The hundreds place is 10 times of the tens place.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The value of 8 in the hundreds place. If the value of the 8 is in the tens place. Then the number will be 880.

Then the number of times of the hundreds place and tens place will be given by the division of the numbers 800 and 80.

⇒ 800 / 80

⇒ 10

The hundreds place is 10 times of the tens place.

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Answer:

honestly quite a lot

Step-by-step explanation:

any number from 650-699, and also from 700-749

Answer:

range, 700-749

Step-by-step explanation:

Answer:4.1

Step-by-step explanation:

c=AB

C=26°

B=122°

b=8

Using sine rule

c/sinC = b/sinB

c/sin26=8/sin122

Sin26=0.4384

Sin122=0.8480

c/0.4384=8/0.8480

Cross multiply

c x 0.8480=8 x 0.4384

c x 0.8480=3.5072

Divide both sides by 0.8480

(c x 0.8480)/0.8480=3.5072/0.8480

c=4.1

Answer:13°

Step-by-step explanation:

a + b + x=180 sum of angles in a =180°

85° is alternate to a

Therefore a=85°

98° and b are supplementary angles

98+b=180

b=180-98

b=82°

Recall that

a + b + x=180

85+82+x=180

167 + x=180

Collect like terms

x=180-167

x=13°

Answer:

-66

Step-by-step explanation:

There will be $66 left after the $12 spent on lunch. 66 + -66 = 0

The number could be -66 combined with the amount left in the account to make zero.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Student has $78 in his checking account

Student spends $12 on lunch

Let, the number is x

78 + x - 12 = 0

x = - 66

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Answer:

0

Step-by-step explanation:

The smallest (greater or equal to zero) multiple of 13 is 0

to get a positive multiple of 13 you have to multiply 13 by a natural number:

0 = 13×0

13 = 13×1

26 = 13×2

.

.

.

then the smallest one is 0.

In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.

The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.

Then the point has a linear speed of

(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s

The linear velocity of a point on the edge of the wheel is π/2 feet per second.

In this case, the wheel has a radius of 1 foot and makes 1 revolution in 4 seconds.

The circumference of a circle is given by the formula

C = 2πr, where r is the radius of the circle.

So, the circumference of the wheel is 2π(1) = 2π feet.

Now, the linear velocity of the point on the edge of the wheel is the distance traveled (circumference) divided by the time taken, which is:

Linear velocity = Circumference / Time = 2π feet / 4 seconds

Linear velocity = π/2 feet per second

So, the linear velocity of a point on the edge of the wheel is π/2 feet per second.

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Answer:

(2/3)^8

Step-by-step explanation:

Note that 2^8 = 256, and that 3^8 = 6561.

Then 256/6561 = (2/3)^8

Answer:

Denote B(x, y), we have:

-10 + x = 2 x (-16) => x = -22

  8 + y = 2 x 6 => y = 4

=> B(-22, 4)

Hope this helps!

:)

Answer:

D

If you put the equation into a calculator, it will show a graph of it.