Answer:
The equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:
Step-by-step explanation:
Given the points
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept
substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b
2=(-3)4 + b
2 = -12 + b
b = 2+12
b = 14
Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.
y=(-3)x+(14)
y=-3x+14
Thus, the equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:
Let the length of the rectangle is x. units , accordingly :
2.(x+3) = x×3.
2x + 6 = 3x.
x = 6 units is the answer :)
Aproximately 15%
975-829=146 (difference)
(146/975)×100 = 14.974435897
Answer:
Option A. 4 radians
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the measure of angle 
we know that
The circumference of the circle subtends a central angle of 2π radians
so
using proportion
Find out the central angle by an arc length of 20 cm
Answer:
15 3/4t^2 + 5 1/4
Explanation:
h(t)=-16t^2+400
We can add 400 then - 64 and show as 8^2
= h(t)=-16t^2+400 - 8^2
But we also need to change 16t^2;
We divide 64 into 16 = 16/64 =0.25
and show 16t^2 changes by 0.25 = 1/4
15 3/4t^2 + 400-64
Can now look like
15 3/4t^2 + 5 1/4
As 5 1/4 = 64 x 5 1/4 = 336
