Each dimension of a parallelogram is multiplied by a positive number n. Write an expression for the area of the new parallelogram. Let b represent the base and h represent the height of the original parallelogram. Expression for the area of the new parallelogram:

Step-by-step explanation:

I'm not entirely sure what you mean by "from the origin", but hopefully this helps.

The distance formula for a Cartesian coordinate system (your standard x-y graph) is [tex]d=\sqrt{(x1-x2)^{2}+(y2-y1)^{2}}[/tex].

If you're measuring "from the origin", that just means one of your points is (0,0).

For example, if you were to measure between the origin and the point (1,4) your formula would look like this:

[tex]d=\sqrt{0-1)^{2}+(0-4)^{2}}\\d=\sqrt{(-1)^{2}+(-4)^{2}} \\d=\sqrt{1+16} \\d=\sqrt{17}[/tex]

So, the distance between the origin and (1,4) is [tex]\sqrt{17}[/tex].

I hope this helps! Please let me know if you have any other questions!

Answer:

b = -152

Step-by-step explanation:

I hope this helps!

Un objeto cae accidentalmente de un vehículo con una velocidad de

50 km / hy recorra 20 m antes de detenerse.

Calcular:

a) La aceleración:

b) El tiempo que tarda en detenerse:

Responder:

1.439 s

-9,645 m / s²

Explicación paso a paso:

Dado que:

Velocidad en m / s = (50 * 1000) / 3600 = 13.899 m / s

Distancia (d) = 20

Tiempo = distancia / velocidad

Tiempo = 20 / 13.889

Tiempo = 1.439 s

Aceleración (a):

Cambio de velocidad / tiempo empleado

= (0 - 13,889) / 1,439

- 13.889 / 1.439

= -9,645 m / s²

Answer:

Step-by-step explanation:

Combined, it is option C.  {x | x < -4 or x > 4}

Answer:

Please check the explanation

Step-by-step explanation:

Given the sequence

[tex]3,-9,27,-81,...[/tex]

A geometric sequence has a constant ratio and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratios of all the adjacent terms

[tex]r=\frac{a_n+1}{a_n}[/tex]

[tex]\frac{-9}{3}=-3,\:\quad \frac{27}{-9}=-3,\:\quad \frac{-81}{27}=-3[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-3[/tex]

Therefore, the common ratio is:

Determining the sum of 1st five terms

As the first element is

[tex]a_1=3[/tex]

[tex]r=-3[/tex]

Geometric sequence sum formula is given by

[tex]a_1\frac{1-r^n}{1-r}[/tex]

Plugin the values

[tex]n=5,\:\spacea_1=3,\:\spacer=-3[/tex]

[tex]a_1\frac{1-r^n}{1-r}=3\cdot \:\frac{1-\left(-3\right)^5}{1-\left(-3\right)}[/tex]

            [tex]=3\cdot \frac{1-\left(-3\right)^5}{1+3}[/tex]

             [tex]=\frac{\left(1-\left(-3\right)^5\right)\cdot \:3}{1+3}[/tex]

             [tex]=\frac{732}{1+3}[/tex]       ∵

             [tex]=\frac{732}{4}[/tex]

              [tex]=183[/tex]

Therefore, the sum of the first five terms of the sequence is: 183        

Answer:

3.

Step-by-step explanation:

Answer:

x=24ft.............

Answer:

x = 24 ft.

Step-by-step explanation:

The 13 and the 5 and both multiplied by 2 to find the lengths of the second triangle. So, the 12 should also be multiplied by 2 to find the value of x:

12 * 2 = 24

x is 24 ft.

Answer:

x² + 5x - 2 = 0

Step-by-step explanation:

The standard form of a quadratic equation is ax² + bx + c = 0 (a ≠ 0 )

Given

x(x + 5) = 2 ← distribute left side

x² + 5x = 2 ( subtract 2 from both sides )

x² + 5x - 2 = 0 ← in standard form

Answer:

D.

Step-by-step explanation:

That is the only answer provided.

Answer:

a. -1.35

b. 0.177016

Step-by-step explanation:

According to the question, following data is given

Brown eyes american percentage is 45

Random sample be 80 out of which 30 had brown eyes

Based on the above information

The computation is shown below:

a. The proportion of the sample is

[tex]\bar p = \frac{30}{80}\\\\= 0.375[/tex]

The z value is

[tex]z = \frac{\bar p - p }{\sqrt{\frac{p(1 - p)}{n} } } \\\\\frac{0.375-0.45 }{\sqrt{\frac{0.45(1 - 0.45)}{80} } }[/tex]

= -1.35

b Now the P value is

As z comes -1.35

So, there is a two tailed p value i.e. 0.177016

Answer:

3y

Step-by-step explanation:

A term is a mathematical expression, in this case a number multiplied by a variable.

Like terms would mean anything that is equal to 3x.

Because 3 is a constant number, any like terms have to have the number 3 in it, so we can eliminate 5x, -2x, 7y, and x because they don't have a 3.

y is a variable which is a stand-in for an unknown number, and it can be switched out with any one variable. That means the only possible answer is 3y

Answer:

I deeply apologize if this answer is wrong but I believe the answer is C. y = 2x - 3.

Step-by-step explanation:

If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Step-by-step explanation:

That's what I got.

Hope that was helpful

Answer:

[tex]\boxed{x^4 + x^2 + x}[/tex]

Step-by-step explanation:

[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]

[tex]= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}[/tex]

[tex]= x^4 + x^2 + x[/tex]

.

Happy to help :)

Answer:x=0,5

Step-by-step explanation:

6x -1/2=1

6x-1=1.2

6x-1=2

6x=2+1

6x=3

x=3/6

x=0,5

Answer:

Step-by-step explanation:

-6x+5y=11

If x= -1 replace x with -1

-6(-1)+5y=11

6+5y=11  subtract 6 from both sides

5y=5  divide by 5

y=1

Answer:

Sub in the value, 6mutiplied by -1 is 6 so 6+5y=11. Subtract 6 from both sides. 5y=5

Y=1

X=-1

(-1,1)

Answer:

135 mins/2hr 15min

Step-by-step explanation:

108 divided by 3=36 so 45 multiplied by 3 which equals 135 please pick brainliest.

Answer:

the answer is W i think

Step-by-step explanation:

Answer:

Slope is 4/3

Step-by-step explanation:

We need to turn this into slope intercept form to find the slope,

slope intercept form is y=mx+b, we just need to "rearrange" the problem using reverse operations and get our slope

4x+3y=2      

4x-4x+3y=2-4x  subtract 4x from both sides ⇒ 3y=4x-2

we need to get rid of the 3, so divide both sides by 3

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

y=4/3x-2/3

Our slope is 4/3

feel free to ask any questions or comments

Answer:

The range is between 21 and 75

Step-by-step explanation:

"The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side."

Any two sides of of a triangle added together cannot be equivalent to or less than the length of the third side. Knowing this, we can figure out the range. If you add 48 and 27, you get 75.  We know 75 is the top of the range, the length of the third side cannot be 75 or greater. Going the other way, if you assume that the third side is one of the smaller ones, you can identify 48 as the largest value. If you subtract 27 from 48 you get 21, so the length of the third side cannot be 21 or lower.

This gives us the range. Just keep this rule in mind. Hope this helped!

Answer:

21 < HJ < 75

Step-by-step explanation:

Answer:Yes

Step-by-step explanation:

Carmela:3/4/3=1/4 per mile

Hari:1/2/2=1/4 per mile

Answer:

Pls See the photo

Step-by-step explanation:

Hope u like it

Answer:

His son is 10 and his father is 30.

Step-by-step explanation:

Let the age of his son be x and his father's age be 3x.

5(x-5) = 3x-5

5x-25 = 3x-5

5x-3x = 25-5

2x = 20

x = 10

3x = 10 × 3

    = 30

Answer:

the LCM is 864

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

The easiest way to do this is to start with the power of 5 that is just under 219.

125 would be the closest power of  5

Now subtract 125 from 219 = 94

=====================

The highest power of 5 closest to 94 is 25. You have to multiply 25 * 3 to get a number close enough to 94 that leaves a remainder under 25

94 - 75 = 19

=======================

19 - 3 * 5 = 4 Same argument as above.

219_10 = 1334_5

Slope = 3/7

y - intercept: y = -3

x - intercept x = 7

Answer:

90°

45°

45°

90°

Step-by-step explanation:

this is a square all the sides and angles are equal .

all angles being 90°.

and all diagonals of a square are also 90°

Answer:

3/8

Step-by-step explanation:

[tex]slope = \frac{4 - 1}{8 - 0} = \frac{3}{8} \\ [/tex]

Answer:

0.375

Step-by-step explanation:

slope = Y2-Y1/X2-X1

slope = 4-1/8-0

slope = 3/8

slope = 0.375

Hope that helps!

Answer:

0.2297453

Step-by-step explanation:

Given that :

Total faces of = 12 labeled 1 - 12

Probability of showing a 2 ;

P = required outcome / Total possible outcomes

P(showing a 2) = 1 /12

Hence, probability of not showing a 2 ;

P(showing a 2)' = 1 - 1/2 = 11/12

Probability that atleast one of 3 cubes shows a 2 :

1 - P(none of the cubes shows a 2)

P(none of the cubes shows a 2) =

(11/12 * 11/12 * 11/12) = 0.7702546

1 - 0.7702546 = 0.2297453

This question is based on the probability. Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.

Given:

In a certain board game a 12 sided number cube showing numbers 1-12 is rolled.

We need to determined the probability that at least 1 show as a 2, if 3 such number cubes are rolled.

It is given that total faces of = 12 labeled 1 - 12

Now calculating probability of showing a two ;

[tex]Probability = \dfrac{ Required\, outcome }{Total\, possible \,outcomes}[/tex]

[tex]Probability\, of\, showing\,a \,two=\dfrac{1}{12}[/tex]

Hence, probability of not showing a 2 is,

[tex]Probability\, of\, not\,showing\,a \,two=1-\dfrac{1}{12}[/tex]

Now, calculating probability that at least one of 3 cubes shows as a 2 =

1 - P(none of the cubes shows a 2)

[tex]P(none\, of\, the\, cubes\, shows\, a \,2) = \dfrac{11}{12} \times \dfrac{11}{12} \times \dfrac{11}{12} \\\\P(none\, of\, the\, cubes\, shows\, a \,2)=\dfrac{1331}{1728} = 0.770[/tex]

Probability that at least one of 3 cubes shows as a 2 = 1 - 0.770 = 0.22974

Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.

For more details, prefer this link:

https://brainly.com/question/11234923

Answer:

Step-by-step explanation:

This is a linear relationship which means that it follows the equation;

y = mx + c

y will be the total after some months so will be $800

m will be the number of months

x is the amount the account increases by every month which is $50 here

c is the amount in the account before the $50 started being added which is $250.

800 = 50m + 250

50m = 800 - 250

m = (800 - 250) / 50

m = 11 months

Answer:

$0.75

Step-by-step explanation:

To find the answer multiply the amount of money earned by the percentage $14.98 and 5%

turn the percentage into a decimal. divide the number of the percentage by 100 5/100=0.05

multiply this by the amount of money to get 0.05*14.98=0.749. then round answer to two decimal places to get $0.75

Answer:

$0.75

Step-by-step explanation: