can a line and a point lie on the same plane.

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

the equation is y=3

Since it's a horizontal slope line and is placed on the point of positive 3

Answer:

y=3

Step-by-step explanation:

Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

The expansion will be 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729

We can expand (2d+3)^6 using the binomial theorem, which states that:

(a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn-1 * a^1 * b^(n-1) + nCn * a^0 * b^n

where nCk is the binomial coefficient, given by:

nCk = n! / (k! * (n-k)!)

Expanding (2d+3)^6 using this formula, we get:

(2d+3)^6 = 6C0 * (2d)^6 * 3^0 + 6C1 * (2d)^5 * 3^1 + 6C2 * (2d)^4 * 3^2 + 6C3 * (2d)^3 * 3^3 + 6C4 * (2d)^2 * 3^4 + 6C5 * (2d)^1 * 3^5 + 6C6 * (2d)^0 * 3^6

Simplifying each term using the binomial coefficient formula, we get:

(2d+3)^6 = 1 * 64d^6 * 1 + 6 * 32d^5 * 3 + 15 * 16d^4 * 9 + 20 * 8d^3 * 27 + 15 * 4d^2 * 81 + 6 * 2d * 243 + 1 * 1 * 729

Simplifying each term further, we get:

(2d+3)^6 = 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729

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The supplied net's representation of the rectangle has a volume of 1,105.28 Plus 200.96 + 200.96.

You discovered through this activity that the formula of volume is V = l w h, which can alternatively be expressed as volume equals length times width times height. Volume is defined as the base area multiplied by the height, or V = B h. Spherical prisms and cubes are the only objects for which the form, V = l w h, is true.

Length times width equals the rectangle's area.

\(Area = length*width\)

We have provided the size of a rectangle, which is 1,105.28, and the area of a circle, which is 200.96.

Each round base has the same area.

By summing all the forms, we can get the total volume of the figure.

As a result, \(1,105.28 + 200.96 + 200.96\) is the volume of the image represented by the specified net.

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Answer:

i got 48

Step-by-step explanation:

2(5*2)

2(2*5)

2(2*2)

Answer: No solution/Empty Set

Step-by-step explanation: When you factor the 2(-7+b), you get 2b, which when moved to the other side cancels out the variable

Answer: 7.2x = 4,000.

Step-by-step explanation:

If cost is represented by C(x) = 2.2x + 4,000 and revenues are represented by R(x) = 9.4x, the break-even point occurs when the cost equals the revenue, or C(x) = R(x). We can substitute the given equations into this expression and solve for x:

2.2x + 4,000 = 9.4x

7.2x = 4,000

x = 4,000 / 7.2

Therefore, the equation that could be used to find the break-even point is 7.2x = 4,000.

Answer:

(-4,-6)

hope this helps !

Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

The graph of the function f(x)=(x-3)(x-1)(x+1) is given by the image presented at the end of the answer.

The function for this problem is defined as follows:

f(x)=(x-3)(x-1)(x+1).

The product is written as a product of it's linear factors, hence the x-intercepts are given as follows:

The y-intercept of the function is given as follows:

f(0) = -3(-1)(1) = 3.

The end behavior is given as follows:

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Answer:

\( {x}^{2} + 26x = 11 \\ x = 0.4 \: and \: - 26.4\)

Answer:

Answer

4)net income

Step-by-step explanation:

answer

Answer:

---------------------------------------

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Answer:

da,

Step-by-step explanation:

The given triangle is an acute triangle and this can be determined by using the distance formula and the Pythagorean theorem.

Given :

Coordinates of triangle are --- J(-7, -7), K(-9, 1), L(-1, -1)

The following steps can be used in order to classify the given triangle:

Step 1 - First, determine the distance between the points.

\(\rm JK = \sqrt{(-9+7)^2+(1+7)^2} = \sqrt{4+64} = \sqrt{68}\)

\(\rm KL = \sqrt{(-1+9)^2+(-1-1)^2} = \sqrt{64+4} = \sqrt{68}\)

\(\rm JL = \sqrt{(-1+7)^2+(-1+7)^2} = \sqrt{36+36} = \sqrt{72}\)

Step 2 - In order to classify the given triangle, the Pythagorean theorem can be used.

\(\rm H^2 = P^2 + B^2\)

Step 3 - Substitute the values of P, H, and B in the above expression.

\(\rm (\sqrt{72} )^2 = (\sqrt{68} )^2 + (\sqrt{68} )^2\)

Step 4 - Simplify the above expression.

72 < 136

Therefore, the given triangle is an acute triangle.

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Answer:

3√3v/3x V

Step-by-step explanation:

d/dt[32/3π, sin (tim), 3√3v/3x, V]

Answer:

Net price = $191.25

Discount Price = $33.75

Step-by-step explanation:

Cost of one pen = $0.50

Cost of 200 pen = 200 × 0.50 = $100

Cost of one pad =$0.70

Cost of 150 pads = 150 × 0.70 = $105

Cost of one pencil = $0.20

Cost of 100 pencils = $20

Total cost of the order = 100 + 105 + 20 = $225

Discount % = 15% of 225

Discount price = ( 15% × 225) = $33.75

Total amount after discount = 225 - 33.75 = $191.25

\( \frac{14}{8} = \frac{x}{20} \)

\(14 \times 20 = 8 \times x\)

\(280 = 8x\)

\(8x = 280\)

\(x = \frac{280}{8} \)

\(x = 35\)

\( \frac{14}{8} = \frac{x}{2 0 } \)

\( \frac{14}{8} = \frac{35}{20} \)

\(∴the \: proportional \: fractions \:are :\)

\( \frac{14}{8} :: \frac{35}{20} \)

Answer:

33.6% of X = 26800

X = 26800 / 33.6%  

   = 26800 / 0.336

  = 79762

Note the answer is rounded

Step-by-step explanation:

33.6% of X = 26800

X = 26800 / 33.6%  

   = 26800 / 0.336

  = 79762

Note the answer is rounded

Answer:

Well..

Step-by-step explanation:

Do 23,882 by 11, then do the answer of that problem divided by 11 and so on

Step-by-step explanation:

Hey, there!!!

According to your question,

case i

force (f) = 60 n

acceleration due to gravity (a)= 10m/s^2

now,

force = mass × acceleration due to gravity

or, 60 = m × 10

or, 10m= 60

or, m= 60/10

Therefore, the mass is 6 kg.

now,

In case ii

mass= 6kg {Because there was no change in mass only change in force}

force= 54 n

now, acceleration due to gravity = ?

we have,

f=m×a

or, 54= 9×a

or, 9a= 54

or, a= 54/9

Therefore, the acceleration due to gravity is 6m/ s^2.

Hope it helps....

(2,-9)

slope = -3

1.  y + 9 = -3(x - 2)

2. y = -3x - 3

3. x = -1

4. I don't know if you wanted the answer for this one. If so I can't see the whole problem.

The slope formula is the changes of two y-values over/to the changes of two x-values.

\( \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }\)

Substitute two given points in the formula to find the slope. The m-term represents the slope from y = mx+b.

\(\large{m = \frac{10 - ( - 8)}{2 - 10} } \\ \large{m = \frac{10 + 8}{ - 8} } \\ \large{ m = \frac{18} { - 8} \longrightarrow \frac{9}{ - 4} } \\ \large \boxed{m = - \frac{9}{4} }\)

Answer

Hope this helps and let me know if you have any doubts!

Answer:

m=-9/4

Step-by-step explanation:

Hi there!

The formula for the slope (m) calculated from two points is given as (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points

we are given the two points (2,10) and (10,-8)

to avoid any confusion, let's label the values of the points

x1=2

y1=10

x2=10

y2=-8

now substitute into the formula:

m=(-8-10)/(10-2)

subtract

m=(-18)/(8)

simplify (reduce to lowest terms)

m=-9/4

Hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

Increasing

Step-by-step explanation:

We know that Jennifer earns $9 dollars per hour babysitting, this is the only information provided. Meaning that the monetary value is constantly increasing, with no fees or anything being mentioned, this means that the function is increasing. Due to the situation, the line on the graph will always go up.

Jennifer's equation could be represented as 9x.