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3 years ago

What is the equation in point slope form of the line passing through (0,3) and has a slope of -6

1 answer:

4 0

Just plug in the numbers! it gives you the slope and the y-intercept right in the question so no math required. The slope is -6, and the y-int is 3, therefore y = -6x + 3 is the answer

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❊ Simplify :

Nataliya [291]

To simplify the given expression .

$\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 }$

$\rule{200}4$

$\sf\longrightarrow \small \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) } \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5) } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3} \\\\\\\sf\longrightarrow \small \dfrac{1}{x-2} +\dfrac{2}{x-3} \\\\\\\sf\longrightarrow \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) } \\\\\\\sf\longrightarrow \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) } \\\\\\\sf\longrightarrow \underset{\blue{\sf Required \ Answer }}{\underbrace{\boxed{\pink{\frak{ \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}$

$\rule{200}4$

5 0

3 years ago

Read 2 more answers

The graph shows the side view of a waterslide. Dimensions are in feet. Two points on slide: (0, ), ( , 40) graph

Zolol [24]

Answer:

(0,80), (5,40)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Use the digits 2,3,and 4 one time each to correctly complete the following problem. __00 * __ __ = 6,800

azamat

Answer:

200*34=6800

Step-by-step explanation:

Write the possible combinations like

200*34

200*43

300*24

300*42

400*32

400*23

then you chose what will give you 6800 as the answer

4 0

3 years ago

What is the circumference of a circle with a diameter of 14 cm

alex41 [277]

Answer:

C≈43.98cm

Step-by-step explanation:

C=2πr

d=2r

C=πd=π·14≈43.9823cm

6 0

3 years ago

Solve for x. y +X=b Help!

neonofarm [45]

9514 1404 393

Answer:

x = b - y

Step-by-step explanation:

To get x by itself, subtract y from both sides.

y + x = b . . . . . . . . . given

y - y + x = b - y . . . . subtract y

x = b - y . . . . . . . . . simplify

7 0

3 years ago