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3 years ago

What is the slope of the line that passes through (-4, 6) and (-6, 20)?

Mathematics

1 answer:

Hatshy [7]3 years ago

3 0

Answer:

-7

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

= ( 20-6)/(-6- -4)

= ( 20-6)/ ( -6+4)

= 14/-2

= -7

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3 years ago

HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c

Anna71 [15]

Answer:

$n=241$

Step-by-step explanation:

We are given

$5x^2+nx+48$

Let's assume it can be factored as

$5x^2+nx+48=(5x-s)(x-r)$

now, we can multiply right side

and then we can compare it

$5x^2+nx+48=5x^2-5rx-sx+rs$

$5x^2+nx+48=5x^2-(5r+s)x+rs$

now, we can compare coefficients

$rs=48$

$5r+s=-n$

$n=-(5r+s)$

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

$48=-+(1\times 48)$

$48=-+(2\times 24)$

$48=-+(3\times 16)$

$48=-+(4\times 12)$

$48=-+(6\times 8)$

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

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7 0

3 years ago

The mass of Saturn is 5.686 × 10^26 tonnes. The mass of Earth is 6.04 × 10²¹ tonnes. How many times heavier is Saturn than Earth

andrey2020 [161]

We simply divide the mass of Saturn with the mass of Earth.
5.686 x 10^26 / 6.04 x 10^21

The rule of significant figures when dividing numbers is that the least amount significant figures must be used in the quotient.

Therefore, Saturn is 9.41 x 10^4 times heavier than Earth.

8 0

4 years ago