The generic equation of a line is:
y-yo = m (x-xo)
Where,
(xo, yo): It's an ordered pair either.
m: is the slope of the line.
We observe that for a point (xo, yo) infinite lines with different slope m can pass.
Answer:
The conclusion is that for the ordered pair (xo, yo) can pass infinite lines that satisfy:
y-yo = m (x-xo)
Answer:
4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let w = wooden block
Let p = plastic bricks
<u>Given the following data;</u>
Price of wooden block per pounds = $5
Price of plastic brick per pounds = $10
*Translating the word problem into an algebraic equation*
For the 10-pound mixture;
.........equation 1
For the $80 mixture;
..........equation 2
Solving the linear equation by using the substitution method;
Making w the subject in equation 1:
.......equation 3
Substituting "w" into equation 2;
Simplifying the equation, we have;
Rearranging the equation, we have;


p = 6 pounds (For the plastic brick).
To find w;
Substituting "p" into equation 3;

w = 4 pounds (For the wooden block).
Answer:
Step-by-step explanation:
Area = 1/2 × base × height
Base(b) = 7 feet
Height(h) = 12 feet
Area = 1/2 × 7 × 12 = 7 × 6 = 42 feet²
Answer:
3n^2+7n-5
Step-by-step explanation:
Distribute n to 3n and -1
Distribute 5 to 3n and -1
then you have 3n^2-n+8n-5
Use the like terms principle to get
3n^2+7n-5
So, let's see, Amber made 3 penalty shots off 4, now, 3 out of 4 is 75% or 3/4. So she's 75% of the time effective.
Lindsay has made 4 out of 6 penalty shots, 4/6 or 2/3, that's about 66% effectiveness.
Li has made 2 out of 3 penalty shots, that's 2/3, that's about the same 66% effectiveness.
so, which fraction is highest 3/4, or 2/3 or 2/3? neverminding the percentages, let's multiply all by the LCD, let's see from 4, and 3, and 3, the LCD is 12.
so, let's multiply all of them by 12, to get rid of the denominator, to see which is highest.

notice, Amber has the higher effectiveness rate, to make it through in the penalty kick.