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2 years ago

Find the slope of the line that passes through the given points (2,-7), (1,4)

Mathematics

1 answer:

a_sh-v [17]2 years ago

6 0

Answer:

Slope “m” = 1

Hence, the slope of the required line is 1.

Step-by-step explanation:

7/2+ -4/1 = 3/3 which is a whole number

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Ara has a cube with side lengths of 4.2 cm. Which is the best estimate of the volume of the cube?

garik1379 [7]

4.2³ = 74.088. If the 4.2 is accurate, this is actually not an estimate but an exact answer. You can of course round it to 74, then it becomes an estimate.

6 0

2 years ago

In Problems 23–30, use the given zero to find the remaining zeros of each function

Talja [164]

Answer:

x = 2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

$f(x) = x^3 - 4x^2+ 4x - 16$

One of the zeroes of the above polynomial is 2i, that is :

$f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0$

Thus, we can write

$(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Now, we check if -2i is a root of the given polynomial:

$f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0$

Thus, we can write

$(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Therefore,

$(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Dividing the given polynomial:

$\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4$

Thus,

$(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

X = 4 is a root of the given polynomial.

$f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0$

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0

3 years ago

Find the measure of angle Y. Round your answer to the nearest hundredth. (Please type the numerical answer only)

Sati [7]

Answer:

y = 11.54°

Step-by-step explanation:

Reference angle = y°

Opposite side length = 4

Hypotenuse = 20

Apply trigonometric function SOH:

$Sin(y) = \frac{Opp}{Hyp}$

$Sin(y) = \frac{4}{20}$

$Sin(y) = 0.2$

$y = Sin^{-1}(0.2)$

y = 11.536959° ≈ 11.54° (nearest hundredth)

4 0

3 years ago

How many solutions does 7x=-10+8x

iogann1982 [59]

Answer:

one: x=10

hope this helps

4 0

3 years ago

A computer game designer uses the function f(x) = 4(x - 2)2 + 6 to model the path of the fish The horizontal path of

nlexa [21]

Answer:

(-1,42)

Step-by-step explanation:

ahaha i got it wrong then it told me the actual answer

6 0

3 years ago