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3 years ago

What's is an equation of the line that passes through the point(-3,-1) and is perpendicular to the line x-2y=6

Mathematics

1 answer:

katrin2010 [14]3 years ago

6 0

Answer:

$y+1=-2(x+3)$

Step-by-step explanation:

Slope is negative reciprocal when two lines are perpendicular

m1=1/2 therefore m2=-2

The equation of the line in point-slope form is given as

$y-y_1=m_2(x-x_1)$

Here m=-2 and (x1, y1)=(-3, -1)

Therefore,

$y+1=-2(x+3)$

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At the beginning of its route, a garbage truck accelerates at 10ms2 as it is driven down the road. By the end of the route, the

Dmitry [639]

Answer:

$2.5\ m/s^2$

Step-by-step explanation:

Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.

$Force(F)=Mass(m)\times Acceleration(a)$

Initially:

$Let\ mass=m\ kg\\\\acceleration=10\ m/s^2\\\\Force(F)=m\times 10=10m$

At the end of the road:

$Let\ mass=4\times m\ kg\\\\acceleration=a\ m/s^2\\\\Force(F)=4m\times a=4ma$

$Both\ forces\ are\ equal\\\\4ma=10m\\\\divide\ both\ the\ sides\ by\ m\\\\4a=10\\\\a=\frac{10}{4}\\\\a=2.5\ m/s^2$

8 0

2 years ago

40 is what percent of 32

Jobisdone [24]

40 = x% of 32

32x = 40
x = 40/32
x = 1.25

multiply by 100 to convert to percentage...

x = 125%

40 is 125% of 32

8 0

3 years ago

Read 2 more answers

A container has 10 oz of salt water containing 59% salt. Roberto added 20 oz of salt water containing 20% salt to the container.

zubka84 [21]

Does it give u answer choices

4 0

3 years ago

Your 3 nieces and 3 nephews (6 children total) are visiting for the holidays. You must give them each a present. They all love l

marusya05 [52]

Answer:

The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.

Step-by-step explanation:

Use combinations to solve this problem.

Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.

There are 9 Lego kits available.

And the total number of children is 6.

That is, we need to select 6 Lego kits from the 9 available Lego kits.

6 Lego kits can be selected from the 9 available Lego kits in $9\choose 6$ ways.

Solving the combination as follows:

${9\choose 6}=\frac{9!}{6!\times(9-6)!} \\=\frac{362880}{720\times6}\\ =84$

Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.

4 0

2 years ago

8(x-2) = 64

Amiraneli [1.4K]

Answer:

I think d

Step-by-step explanation:

.....................

5 0

2 years ago