Answer:
y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
m = (y2 -y1)/(x2 -x1)
m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
b = y - mx
b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
Answer:
D:Spring A is 3 m longer than spring B because 15 – 12 = 3.
Step-by-step explanation:
In this question, you should remember the Hooke's Law in physics.
The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.
The mathematical expression for this law is
where;
F= force applied on the spring
x = the extension on the spring
k= the spring constant which varies in spring.
The question will need you to calculate the extension on the springs A and B then compare the values obtained.
<u>In spring A</u>
Force, F=60N and spring constant ,k=4 N/m
To find the extension x apply the expression;
Here the spring extension is 15 m
<u>In spring B</u>
Force, F=60N and spring constant , k=5N/m
To find the extension x apply the same expression
Here the extension on the spring is 12 m
<u>Compare</u>
The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m
