12/21 in its simplest form is 4/7.
To find this out we need to divide the numerator and denominator by the GCF of 12 and 21 which is 3.
12/21
12 ÷ 3 = 4
21 ÷ 3 = 7
4/7
12/21 in its simplest form is 4/7.
12/21 = 4/7
Answer:
E = 50
D = 150
Step-by-step explanation:
We know that the exterior angle is equal to the sum of the opposite interior angles
D + E = 200
D = 3E
Substituting that into the equation
3E + E = 200
Combing terms
4E = 200
Divide by 4
4E /4 = 200/4
E = 50
D = 3E
D = 3*50 = 150
Part B: I think the relation that has the greater value when x=6 is f(x) = 7x - 15 because:
7(6) - 15 = 27 which is greater than the output of 14.
Part C: the value of x would be 3 because:
f(x) = 7x - 15
6 = 7x - 15
+ 15 +15
21 = 7x
3 = x
Sorry if any of this is wrong.
The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
The formula is E= kQ/ d^2
k is 9x10^9
i changed 15 cm to 0.15 m
=> 9x10^9 x 12 OVER (0.15)^2
the answer is 4.8x10^12 N/C
but this is the electric field.
to find electric field STRENGTH, it’s E= F/q and you did not give a value for the force