(9,9) (12,15) find the slope between two points

Answers

Answer 1

Answer: (9,9) (12,15)

Find the slope by using the slope formula.

m = y2 - y1 / x2 - x1
m = 15 - 9/12 - 9
m = 6/ 3
m = 2

The slope = 2

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4(x + 4) = 4x + 16
One Solution No solutions or infinite number of solutions

Answers

Answer:

Infinite Number of Solutions

Step-by-step explanation:

Since 4*x= 4x

and 4*4= 16

its 4x+16

which is 4x+16=4x+16

Since there are the same, and both equal each other, there are an infinite number of solutions.

Answer:

infinite number of solutions

Step-by-step explanation:

4(x + 4) = 4x + 16

Distribute on the left side.

4x + 16 = 4x + 16

Subtract 16 from both sides.

4x = 4x

Divide both sides by 4.

x = x

x = x is a true equation for every value of x.

Answer: infinite number of solutions

What is the measure of angle 7?

Answers

Answer:

The measure of angle 7 is 155*.

Step-by-step explanation:

What number can 13 and 7 go into?

Answers

You're looking for the number 13 and 7 can go into.

You can use the listing method.
13: 13, 26, 39... and so on, and so on.
7: 7, 14, 21, 28, 35, 42, 49.... and so on.

An easier way to do it is to simply multiply 13 by 7.

$13*7= 91$

13 and 7 can go into 91, evenly.

Hope this helped!

What is 4,967 divided by 68 with a remainder no decimals

Answers

4,967 divided by 68 = 3868

Hope I helped.

The answer would be 73 remainder 0 if rounded to one decimal place

Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

Answers

Answer: y = -x + 5 and y = -x - 7 (see attached graph)

Step-by-step explanation:

y = $(9)/(x + 1)$

= 9(x + 1)⁻¹

Use the product rule to find the derivative

a = 9 a' = 0

b = (x + 1)⁻¹ b' = -(x + 1)⁻²

ab' + a'b

= 9[-(x + 1)⁻²] + 0[(x + 1)⁻¹ ]

= $(-9)/((x + 1)^(2))$

Set the derivative equal to the desired slope of -1 to solve for x

-1 = $(-9)/((x + 1)^(2))$

-(x + 1)² = -9

(x + 1)² = 9

√(x + 1)² = √9

x + 1 = +/- 3

x + 1 = 3 x + 1 = -3

x = 2 x = -4

Plug those values into the original equation to solve for y:

y = $(9)/(x + 1)$

= $(9)/(2 + 1)$

= 3

(2, 3)

y = $(9)/(x + 1)$

= $(9)/(-4 + 1)$

= -3

(-4, -3)

Next, plug in the given slope (-1) and the coordinates above into the Point-Slope formula y - y₁ = m(x - x₁) to find the equations:

m = -1, (x₁ y₁) = (2, 3) m = -1, (x₁ y₁) = (-4, -3)

y - 3 = -1(x - 2) y + 3 = -1(x + 4)

y - 3 = -x + 2 y + 3 = -x - 4

y = -x + 5 y = -x - 7

Answer:

$f(x)=\frac9{x+1}\n f'(x)=-\frac9{(x+1)^2}\n f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\n |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\n x_1=2\ \vee\ x_2=-4\n f(x_1)=f(2)=\frac9{2+1}=3\n f(x_2)=f(-4)=\frac9{-4+1}=-3$