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3 years ago

(Fifty points.)

Mathematics

2 answers:

stich3 [128]3 years ago

7 0

the equation of a line in ' slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

y = 5x + 3 is in this form with slope m = 5

function Q has equation y = 2x + 4

the slope of function P is 3 more than function Q

MArishka [77]3 years ago

3 0

The answer is A. 3 because 5 is the slope in the first minus 2 the slope in the second which equals 3.

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Equation would be b = 14m

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Answer:

Step-by-step explanation:

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3 years ago

Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.

leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

$12x-5y+14=0 \\ 12x-5y-14=0$

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1$

$\Rightarrow 12h-5k-1=\pm 13$

$\Rightarrow 12h-5k=\pm 14$

$\Rightarrow 12h-5k=14,\ 12h-5k=-14$

$\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0$

$\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0$

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Th sale price of the tennis racket is 32$
Hope this helps you!

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3 years ago

Need help , don’t understand !!

mixer [17]

Quadratic Formula is (-b ±√(b²-4ac))/2a

With that being said:

y=2x²-5x-1 is in the correct form of ax²+bx+c

Now just plug in:

5±√(25-4(2 x-1))

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(5±√33)/2(2)

Answer is D

100% Sure

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