Find the equation of the straight line joining the points (-5,2) and (3,-4)

Mathematics

2 answers:

Murljashka [212]3 years ago

7 0

Answer:

y= -0.75x+5.75

Step-by-step explanation:

so, if y=mx+c

the gradient is m, which is equal to (y1-y2)/(x1-x2), (2--4)/(-5-3) = 6/-8=-0.75

so y= -0.75x+c

substitute y and x values

2(y)= -0.75(m)*-5(x)+c

2=-0.75*5+c

2= -3.75+c

5.75=c

so in the end, y= -0.75x+5.75

Anastaziya [24]3 years ago

6 0

Answer:

3x+4y+7=0.... equations (1)

which is required equations

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What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)

Naddik [55]

ANSWER

The turning point is

$(1,-3).$

EXPLANATION

The function given to us is

$f(x) = (x - 1) ^{3} - 3$

At turning point,
$f '(x) = 0$

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,
$f '(x) =3 (x - 1) ^{2}$

We equate this to zero to obtain,

$3 (x - 1) ^{2} = 0$

We divide through by 3.

$(x - 1) ^{2} = 0$

We solve for x to get,

$x - 1 = 0$

$x = 1$

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

$f(1) = (1- 1) ^{3} - 3$

$f(1) = 0 - 3$

$f(1) = - 3$

Therefore the turning point is

$(1,-3)$

C is the correct answer.

6 0

3 years ago

Read 2 more answers

Surface area of a box 12 x 6 x 9.5

Ber [7]

9514 1404 393

Answer:

486 square units

Step-by-step explanation:

Use the surface area formula with the given numbers.

SA = 2(LW +H(L +W))

SA = 2(12·6 +9.5(12 +6)) = 2(72 +9.5(18)) = 486