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avanturin [10]
3 years ago
6

Find an equation of the line that satisifes the given conditions. Please help (30 points).

Mathematics
1 answer:
Ronch [10]3 years ago
5 0
First, set up the equation using the point-slope formula  (y-y1)=m(x-x1). 
y1=-4   x1=-3   m=-7/2 
(y+4)=-7/2(x+3) 

Second, distribute -7/2. 
(y+4)=(-7/2)x - 21/2

Third, subtract 4 from both sides. 
(y+4)=(-7/2)x - 21/2
  -4                -4 
______________
y=(-7/2)x - 29/2 

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Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the.
Tomtit [17]

Answer:

You wrote the question wrong...

m is not -16 it is -1/6 (that is a big difference)

y=mx+b

y=-1/6x+b

3 = -1/6(12) + b

3 = -2 + b

b=5

Step-by-step explanation:

3 0
2 years ago
A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x)=(2)(1.0)+x(0.2)2+x models the concentration of
luda_lava [24]

Answer:

17.5

Step-by-step explanation:

Given that:

20% apple juice drink is mixed with a 100% apple juice drink.

f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}

represents the concentration of apple juice in the drink when x gallons of 20% drink are added to 2 gallons of pure juice.

Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.

To find:

The concentration of apple juice in the drink = ?

Solution:

Given the function:

f(x)=\dfrac{(2)(0.1)+x(0.2)}{2+x}

and

x=6\ gallons

f(x)=\dfrac{(2)(0.1)+6(0.2)}{2+6}\\\Rightarrow f(x)=\dfrac{0.2+1.2}{8}\\\Rightarrow f(x)=\dfrac{1.4}{8}\\\Rightarrow f(x)=\bold{0.175}

In percentage, the concentration 17.5.

7 0
3 years ago
3. The student council bought t-shirts from a company for $9 apiece. They also spent a
MAVERICK [17]
Im pretty sure its 7770
7 0
3 years ago
Can someone please help me? :(
Sholpan [36]
The answer is attached, hope this helps!

5 0
3 years ago
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Merle opened a new savings account she deposited 40,000 at 10% compounded semiannually at the start of the fourth year merle dep
UNO [17]

happy first question!!!!

4 0
3 years ago
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