Answer:
y =
x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m =
, then
y =
x + c ← is the partial equation
To find c substitute (- 4, - 7 ) into the partial equation
- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1
y =
x - 1 ← equation of line
Answer:
C. 4.5 inches
Step-by-step explanation:
Given the following data;
Force, F = 10 pounds
Extension, e = 3 inches
First of all, we would determine the spring constant (k) using the following formula;
Force = spring constant * extension
10 = spring constant * 3
Spring constant = 10/3
Spring constant = 3.33 pounds per inches.
Next, we would find the extension of the spring when a force of 15 pounds is applied;
F = ke
15 = 3.33 * e
Extension, e = 15/3.33
Extension, e = 4.5 inches.
Answ
$11.00
Step-by-step explanation:
A quick way to do this would be as follows: 1.10 ( 0.50*$20), or $11.00.
0.50($20) gives us the sale price (at half off); that's half of $20, or $10.
The total due is then $10 (item cost) plus $1 (tax), or $11
Let's say, the first number is "n"
well, the consecutive number of "n" is "n + 1"and the consecutive number of "n+1" is "n + 1" +1 or n + 2
so, the numbers are (n), (n+1) and (n+2), whatever "n" is
now, the sum of their squares is 116

expand the binomials by FOIL or binomial theorem, and then simplify