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2 years ago

The point (2,-4) is on the line given by which equation below?

Mathematics

1 answer:

densk [106]2 years ago

5 0

Answer: (A) y=-2x

Step-by-step explanation:

Lets plug in the point (2,-4) for each equation.

-4=-2(2) this is correct

-4=2*2

-4=4 This cannot be true

-4=-2+3 =-4=1 This is false

Lastly, -4=2-4 this is false because -4 can't equal to -2.

So, A is the answer

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6 (x + 2) = 4 (x − 5) pleaze help

nexus9112 [7]

Answer:

x=-16

Step-by-step explanation:

6x+12=4x-20

2x=-32

x=-16

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2 years ago

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Braiist can someome pls explain i dont know

Greeley [361]

Answer:

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{m-n}$

Consider the left side

$\frac{n^{x} }{n^{y} }$ = $n^{x-y}$ , then

$n^{x-y}$ = n²

Since bases on both sides are equal, equate the exponents

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2 years ago

a warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will the warehouse have less than 100 boxes

Kamila [148]

It should take 6 weeks until the warehouse has less than 100 boxes remaining

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2 years ago

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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

$F = \dfrac{9}{6^x}$

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

$W = \int\limits^{x_2}_{x_1} {F(x)} \, dx$

with $x_1$ and $x_2$ the initial and final displacements respectively.

From the question, $x_1 =0$ and $x_2 = 12$ .

Then

$W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx$

Evaluating the indefinite integral,

$\int\limits \dfrac{9}{6^x} \, dx =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx$

From the rules of integration,

$\int\limits a^x\, dx = \dfrac{a^x}{\ln a}$

$9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x$

Returning the limits,

$\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}$

4 0

3 years ago

A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.

Lisa [10]

The formula of the volume of a cylinder:

$V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base$

We have:

$V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3$

and

$H=20\ dm$

substitute:

$\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2$

Answer: The area of a base of the cylinder is equal 45 dm².

5 0

3 years ago