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4 years ago

What is the point slope equation ofa line with slope -4 that contains the point (-2, 7)

Mathematics

1 answer:

Zolol [24]4 years ago

7 0

Answer:

The point slope equation: y - 7 = -4(x + 2)

Step-by-step explanation:

The point slope equation formula:

y - y1 = m(x - x1) where m = slope and (x1, y1) is given coordinate point

In this case, the point slope equation:

y - 7 = -4(x - (-2))

y - 7 = -4(x + 2)

Hope it helps

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

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What is the equation of the line that contains point (6, 4) and is parallel to line m?

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Answer:

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3 years ago

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th

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Answer:

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Step-by-step explanation:

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3 years ago

PLEASE HELP. I DON'T HAVE MUCH TIME. Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular

Llana [10]

Answer:

of a unit

Step-by-step explanation:

Leave a like and mark brainliest if this helped

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3 years ago

What is the mass of a cylinder of lead with a radius of 2 centimeters and a height of 6 centimeters, given that the density of l

ycow [4]

The mass of lead cylinder is: 859.10 grams

Step-by-step explanation:

In order to find the mass of a cylinder we have to find the volume first

Given

Radius = r = 2 cm

Height = h = 6 cm

The volume of cylinder is given by:

$V = \pi r^2h$

Putting the values

$V = 3.14 * (2)^2 * 6\\= 3.14*4*6\\=75.36\ cm^3$

Now,

Density of lead per cm^3 = 11.4g

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The mass of lead cylinder is: 859.10 grams

Keywords: Volume, Density

Learn more about volume at:

#LearnwithBrainly

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3 years ago