Find the equation of a line containing the points (3,1) and (2,5). Write the equation
in slope-intercept form

Answer:

Scale Factor = 3

x=45

y=75

Step-by-step explanation:

Scale Factor = 60/20 = 3

x=15*3=45

Y=25*3=75

Answer:

Explanation:

Given;

Mass of a box (m) = 300kg

Area of box (a) = 15m²

Pressure exerted by the box (P) = ?

Acceleration due to gravity (g) = 9.8m/s²

Here,

Pressure = Force / Area

= mass × acceleration due to gravity / Area [Since, force=mass×acceleration due to gravity]

= 300 × 9.8 / 15

= 2940 / 15

= 196 N/m²

Answer:

The radius is [tex] 2\sqrt{15} [/tex]

The center is (3, 3)

Step-by-step explanation:

Equation of circle in standard form with center at (h, k) and radius r:

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

We need to complete the square in x and y.

[tex] x^2 + y^2 - 6x - 6y = 42 [/tex]

Separate x-terms and y-terms:

[tex] x^2 - 6x + ~~~~~y^2 - 6y + ~~~~~ = 42 + ~~~~~ + ~~~~~ [/tex]

To complete the square, you square half of the linear term's coefficient.

Linear term in x: -6x

Coefficient: -6

Half of the coefficient: -3

Square half of the coefficient: 9

We need to add 9 to both sides to complete the square in x.

The linear term in y is -6y, so we do the same and we also need to add 9 to both sides to complete the square in y.

[tex] x^2 - 6x + 9 + y^2 - 6y + 9 = 42 + 9 + 9 [/tex]

[tex] (x - 3)^2 + (y - 3)^2 = 60 [/tex]

Now that we have the equation in standard form, we can get the radius and center of the circle.

[tex] r^2 = 60 [/tex]

[tex] r = \sqrt{60} [/tex]

[tex] r = \sqrt{4 \times 15} [/tex]

[tex] r = 2\sqrt{15} [/tex]

The radius is [tex] 2\sqrt{15} [/tex]

The center is (3, 3)

Answer:

Around 372,527 (rounding down)

Step-by-step explanation:

To solve this, divide the amount of the books sold in the month it was released (33,900) by the percentage of total copies this number represents (9.1% or .091):

33,900/.091 = 372,527.473 or 372,527 (if you round down) or 372,528 (if you round up)

I hope this helps!

-TheBusinessMan

Answer:

52630

Step-by-step explanation:

Simplify into numbers.

30 + 2000 + 40000 + 600 + 10000

Add.

52630

Answer:

What is the =

Step-by-step explanation:

4x would be 4x4, 16. Then you add 14!

Answer:

9/14

Step-by-step explanation:

Answer:

(-2,2)

Step-by-step explanation:

Usually in these types of questions, the solution is the intersection point between the two equations. These two lines intersect at what looks like the point (-2,2) so that is the solution.

Hope this helped!

Step-by-step explanation:

A = 280² ft²

A = (200 + 80)² ft²

A = [200² + 2(200)(80) + 80²] ft²

A = (40000 + 32000 + 6400) ft²

A = 78400 ft²

The required area of the dog park using polynomial is 6771204 feet².

Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.

Given that,

The area of the park = square of the side length a = 2802 feet².

To find the area of the park, using polynomial use

Formula of area of square = (a)²

= (2802)²

= (2800 + 2)²

Use formula (a + b)² = a² + b² + 2ab

= (2800)² + (2)² + 2 x 2800 x 2

= 6,760,000 + 4 + 11200

= 6771204 feet²

The required area of the dog park is 6771204 feet².

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Answer:

Point N

Step-by-step explanation:

According to Euclidean geometry, two points are coplanar when they are in the same line segment. By this approach, it is clear that points K and N are part of the same line segment and, consequently, point N is coplanar to point K.

Answer:

The number to be subtracted = -11/2

Step-by-step explanation:

(3*rational number)-x=1/2

The rational number given = -5/3

Then thrice the rational number

= 3*rational number

= 3*(-5/3)

= -5

(3*rational number)-x=1/2

-5-x= 1/2

-5- 1/2= x

-11/2= x

The number to be subtracted = -11/2

Answer:

B

Step-by-step explanation:

So we have:

[tex]g(x)=x^2+3x-1[/tex]

To find g(5), substitute 5 for x:

[tex]g(5)=(5)^2+3(5)-1[/tex]

Square and multiply:

[tex]g(5)=25+15-1[/tex]

Add:

[tex]g(5)=40-1[/tex]

Subtract:

[tex]g(5)=39[/tex]

So, our answer is B :)

Answer: OPTION 2. 39

Step-by-step explanation:

g(x)=x²+3x-1 ⇔ Given

g(5)=(5)²+3(5)-1 ⇔ Plug the value of x in (5)

g(5)=25+15-1 ⇔ do all the operation (square, multiplication, etc.)

g(5)=40-1 ⇔ combine like term (first do the first two)

g(5)=39 ⇔ combine like term

Hope this helps!! :)

Please let me know if you have any question

Answer:

2-x-9? If that's the question than it would be -x-7, but your question kinda confuses me.

Step-by-step explanation:

Answer:

x,  y

2, 2

4, 3

7, 4.5

9, 5.5

Step-by-step explanation:

matching input / output values.

insert each values into the equation.

1.  x             y = (x)/2  + 1

2.  2            y = (2)/2  + 1      y = 2

3.  4            y = (4)/2  + 1      y = 3

4.  7            y = (7)/2  + 1      y = 4.5

5.  9            y = (9)/2  + 1      y = 5.5

therefore,

x,  y

2, 2

4, 3

7, 4.5

9, 5.5

i hope the above solution is what you are lookin'

Answer:

Hey there!

The solution is (1, 2) because that is where the lines intersect.

Hope this helps :)

Answer:

check the answer

Step-by-step explanation:

find the answer in the attached file

Answer:

25

Step-by-step explanation:

Answer:

25

Use a number line.

The distance between -25 and 0 is 25.

So, that is your answer. Hope it helps!

Answer: b, d, e

Trapezoids are quadrilaterals (a shape with four sides) and they have two pairs of sides; one pair are parallel, and the other pair are not.

Picture shown below.

The correct properties of a trapezoid are:

A trapezoid is a quadrilateral, which means it has four sides. One defining property of a trapezoid is that it has one pair of opposite sides that are parallel. This means that these parallel sides never intersect.

Additionally, a trapezoid has another pair of opposite sides that are not parallel, which means they do intersect. Unlike a rectangle or square, a trapezoid does not have all sides congruent.

Lastly, the diagonals of a trapezoid do not necessarily intersect at right angles. The angle formed by the intersection of the diagonals can vary in size. These properties collectively distinguish a trapezoid from other quadrilaterals and make it a unique shape.

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Answer:

i think it is rational but if u guess u have a 50/50 chance

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

I believe the answer is rational because it’s a decimal and goes with the rational category.

Answer:

there are 63360 inches in 1 mile. if you divide 2 into 63360 and add that with it, that should give you the accurate answer

Answer: -0.64

Step-by-step explanation:

We know that the coefficient of determination  in a simple linear regression model is denoted by [tex]r^2[/tex], which gives the proportion of the variance in the dependent variable that is predictable from the independent variable.

Given, the coefficient of determination in a simple linear regression model is 64%.

i.e.

[tex]r^2= 0.64\\\\\Rightarrow\ r=\sqrt{0.64}=\pm 0.64[/tex]

As there is negative relation between the dependent and independent variables.

Then, the correlation coefficient = -0.64

Answer:

yes

Step-by-step explanation:

A rational number is in the form p/q where p and q are both integers and the denominator q is not equal to zero. This means that the set of all real numbers are rational numbers.

Since q can be any integer apart from zero, it means that all integers are rational numbers i.e for q = 1.

Hence 2 which can be written as fraction as 2/1 is a rational number since the denominator (q = 1) is a non zero number

Answer:

Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.

Step-by-step explanation:

Answer:

11 feet

Step-by-step explanation:

The area of a square is simply the side of the square squared.  This can be written as an equation as follows:

A = l^2

where A is the area of the square and l is the length of a side of the square.

Using this, we can find the length of the side.

121 = l^2

sqrt(121) = sqrt (l^2)

11 = l

Hence, the side length of the square is 11 feet.

Cheers.

Answer:

11

Step-by-step explanation:

[tex]Area = s^2[/tex]

s = side

[tex]A =121\\121 = s^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{121}=\sqrt{x^2} \\\\11 =x\\x=11[/tex]

Answer:

Step-by-step explanation:

first you would get it into y=mx+b and you would get -4y=-x+4 and simplify

y=[tex]\frac{1}{4}[/tex]x+1 and if you graph it it would look like this

Answer:

X Z Y

Step-by-step explanation:

The first Question is X

The second Question is Z

The third question is Y

Answer:

Q1: X

Q2: Z

Q3: Y

Step-by-step explanation:

Answer:

204.4m

Step-by-step explanation:

formula for SA of a rectangle is 2lw+2lh+2hw

so it would be 2(6x5) +2(6x3)+2(5x3)=126m

formula for SA of a triangle is bh+2ls+lb

so it would be 5x2+2(6x3.2)+6x5=78.4m

then add 78.4+126=204.4m

Answer: 1/5, 1/2, 0.

Step-by-step explanation:

given data:

no of cameras = 6

no of cameras defective = 3

no of cameras selected = 2

Let p(t):=P(X=t)

p(2)=m/n,

m=binomial(3,2)=3!/2!= 3

n=binomial(6,2)=6!/2!/4! = 15

p(3)= 3/15

= 1/5.

p(1)=m/n,

m=binomial(6,1)*binomial(2,2)=6!/1!/4!*2!/2!/0!= 7.5

n=binomial(6,2)= 15

p(2)= 7.5/15

= 1/2

p(0)=m/n,

m=0

p(0)=0

Answer:

a.

The probability of X

k                                             P(X=k)

0                                              0.25

1                                               0.5

2                                              0.25

b. The expected variable value of X; E(X) = 1

Step-by-step explanation:

Given that:

number of cameras = 6

numbers of defective  = 3

the probability of defective camera p = 3/6 = 0.5

sample size n = 2

Then X = {0,1,2}

Suppose X is the given variable that represents the number of defective cameras in the sample.

∴

X [tex]\sim[/tex] Bin (n =2, p = 0.5)

The probability mass function of binomial distribution can be computed as :

[tex]P(X =x) = (^n_x) p^x (1-p)^{n-x}[/tex]

For  ;

x = 0

The probability P(X=0)  [tex]= (^2_0) 0.5^0 (1-0.5)^{2-0}[/tex]

[tex]P(X=0) = \dfrac{2!}{0!(2-0)!} \times 1 \times 0.5^2[/tex]

[tex]P(X=0) =1\times 1 \times 0.25[/tex]

[tex]P(X=0) = 0.25[/tex]

For :

x = 1

The probability P(X=1)  [tex]= (^2_1) 0.5^1 (1-0.5)^{2-1}[/tex]

[tex]P(X=1) = \dfrac{2!}{1!(2-1)!} \times 0.5^1 \times 0.5^1[/tex]

[tex]P(X=1) =2 \times 0.5 \times 0.5[/tex]

[tex]P(X=1) =0.5[/tex]

For :

x = 2

The probability P(X=2)  [tex]= (^2_2) 0.5^2 (1-0.5)^{2-2}[/tex]

[tex]P(X=2) = \dfrac{2!}{2!(2-2)!} \times 0.5^2 \times 0.5^0[/tex]

[tex]P(X=2) =1 \times 0.5^2 \times 1[/tex]

[tex]P(X=2) =0.25[/tex]

The probability of X

k                                             P(X=k)

0                                              0.25

1                                               0.5

2                                              0.25

The expected variable value of X can be computed as:

E(X) = np

E(X) = 2 × 0.5

E(X) = 1

Answer:

19

Step-by-step explanation:

hey there,

< First, always start by putting all the numbers given in numerical order. Here, it would be: 6, 12, 18, 20, 25

The range is the largest number (25) minus the smallest number (6). So 25-6 = 19. >

Hope this helped! Feel free to ask anything else.

Answer:

first question answer: [tex]\frac{1}{12}[/tex]

second question answer: commutative property of multiplication

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ \: 1. \: \: \: \: \: \frac{1}{12} }}}}[/tex]

[tex] \boxed{ \bold{ \boxed{ \sf{2. \: \: \: \: associative \: property \: of \: multiplication}}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{ \sqrt{ \frac{1}{144} } }[/tex]

⇒[tex] \sf{ \sqrt{ \frac{ {1}^{2} }{ {12}^{2} } } }[/tex]

⇒[tex] \sf{ \sqrt{ { (\frac{1}{12}) }^{2} } }[/tex]

⇒[tex] \sf{ \frac{1}{12} }[/tex]

2. Associative property of multiplication

It states that the product of three or more integers remains unchanged even if they are grouped in different orders.

Hope i helped !

Best regards! :D

Answer:

Total number of ways= 144 ways

Step-by-step explanation:

Number of ways 3 can order chicken

= 3!

= 3*2*1

= 6

Number of ways 4 can order steak

= 4!

= 4*3*2*1

= 24

Number of ways 1 can order lobster

= 1!

= 1

Total number of ways= 24*6*1

Total number of ways= 144 ways

The total number of different ways is 144.

Since If eight persons are having dinner together.And, there is three order chicken, four order steak, and one order lobster

Now

Number of ways 3 can order chicken

= 3!

[tex]= 3\times 2\times 1[/tex]

= 6

Now

Number of ways 4 can order steak

= 4!

[tex]= 4\times 3\times 2\times 1[/tex]

= 24

Now Number of ways 1 can order lobster

= 1!

= 1

So, total should be

[tex]= 24\times 6\times 1[/tex]

= 144 ways

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