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3 years ago

Can someone help me please!!

Mathematics

2 answers:

OlgaM077 [116]3 years ago

8 0

Answer:

(-5, 4) slope = -3/5

Y = -.6x +1

Source: http://www.1728.org/distance.htm

(Scroll to the bottom for explanation)

Step-by-step explanation:

nevsk [136]3 years ago

3 0

Answer:

y = (-3x/5) +1

Step-by-step explanation:

We know that the line passes through the point (-5 , 4)

AND

the slope is given to be -3/5

let's look at the slope a bit more

we know that the formula for slope of a line is Rise / Run

Which means that the rise of this line is -3 after spanning 5 units to the right

Hence, the line goes down 3 units after moving 5 units to the right

We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line

since we are already given the slope, we need to find the point where the line intersects the y-axis

Now, back to the given point the line passes through

this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards

So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3

Hence, the y-intercept will be 3 units below the given y -coordinate

y - intercept = (4 - 3) = 1 = y-intercept

Now, using the slope-intercept formula to get the equation:

y = (slope)*x + (y-intercept )

y = (-3/5)x + (1)

y = (-3x/5) + 1

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Y = (x)^(1/9)*Find f(x) when x=(1/2)Round your answer to the nearest thousandth.

Verizon [17]

We are given a function f ( x ) defined as follows:

$y=f(x)=x^{\frac{1}{9}}$

We are to determine the value of f ( x ) when,

$\times\text{ = }\frac{1}{2}$

In such cases, we plug in/substitue the given value of x into the expressed function f ( x ) as follows:

$y\text{ = f ( }\frac{1}{2}\text{ ) = (}\frac{1}{2})^{\frac{1}{9}}$

We will apply the power on both numerator and denominator as follows:

$f(\frac{1}{2})=\frac{1^{\frac{1}{9}}}{2^{\frac{1}{9}}}\text{ = }\frac{1}{2^{\frac{1}{9}}}$

Now we evaluate ( 2 ) raised to the power of ( 1 / 9 ).

$f\text{ ( }\frac{1}{2}\text{ ) = }\frac{1}{1.08005}$

Next apply the division operation as follows:

$f\text{ ( }\frac{1}{2})\text{ = }0.92587$

Once, we have evaluated the answer in decimal form ( 5 decimal places ). We will round off the answer to nearest thousandths.

Rounding off to nearest thousandth means we consider the thousandth decimal place ( 3rd ). Then we have the choice of either truncating the decimal places ( 4th and onwards ). The truncation only occurs when (4th decimal place) is < 5.

However, since the (4th decimal place) = 8 > 5. Then we add ( 1 ) to the 3rd decimal place and truncate the rest of the decimal places i.e ( 4th and onwards ).

The answer to f ( 1 / 2 ) to the nearest thousandth would be: