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3 years ago

Write the equation in slope-intercept form in each line based on the information give

Mathematics

1 answer:

olchik [2.2K]3 years ago

8 0

Answer:

y= 6x -8

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

$\boxed{gradient = \frac{y1 - y2}{x1- x2} }$

Gradient

$= \frac{4 - ( - 2)}{2 - 1}$

= 6

y= 6x +c

To find the value of c, substitute the equation with a pair of coordinates.

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the line is y= 6x -8.

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The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe

mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

$H_0=288$ feet

$V_0=48$ feet

$h(t)=288+48t-16t^2$

Re-arrange the terms from greatest degree to smallest degree.

$h(t)=-16t^2+48t+288$

We can solve it by applying quadratic formula,

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here a = –16, b = 48, c = 288

$$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}$

$$t=\frac{-48\pm \sqrt{2304+18432}}{-32}$

$$t=\frac{-48\pm \sqrt{20736}}{-32}$

$$t=\frac{-48\pm144}{-32}$

Now, write find two t's using plus and minus operation.

$$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}$

$$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}$

t = –3 (or) t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

8 0

3 years ago

Write the Rational Expression in simplest form. <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2-x-6%7D%7B24-5x-x%5E2%7D" id="T

Liula [17]

Answer:

-(x+2)/(x+8)

Step-by-step explanation:

( x^2 -x-6)

------------------

24 - 5x -x^2

Factor out a minus sign from the denominator

( x^2 -x-6)

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-( x^2 +5x -24)

Factor the numerators and the denominators

( x-3) (x+2)

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-( x+8)(x-3)

Cancel like terms

x+2

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-(x+8)

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3 years ago

Please help me Simplify 3✔️2 - ✔️2

MAXImum [283]

$\bf \stackrel{like~terms}{3\sqrt{2}-\sqrt{2}}\implies 2\sqrt{2}$

3 0

3 years ago

At Libby’s art and crafts, spoils of thread and 5 yards of fabric cost $22.33.

vazorg [7]

How are you supposed to solve this???

7 0

3 years ago

How would you solve that problem

antiseptic1488 [7]

Since you that that line is 180 degrees you can simply do 180-149 and find that the answer is 31 degrees. So you would do 13x+5=31, 31-5=26, 26/13, and then x=2 :)

7 0

3 years ago