y = 2x + 3
the equation of a line in slope-intercept form is
y = mx + b ( m is the slope and b the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (- 2, - 1) and (x₂, y₂) = (2, 7)
m =
=
= 2
y = 2x + b ← is the partial equation
to find b substitute either of the 2 points into the partial equation
using (2, 7 ), then
7 = 4 + b ⇒ b = 7 - 4 = 3
y = 2x + 3 ← in slope-intercept form
Answer:
use G
authmaths
Step-by-step explanation:
We know, the sum of all the angle in an triangle is 180,
So, We can calculate adjacent angle of angle 1,
Let, that adjacent angle = b
So, 34 + 103 + b = 180
b = 180 - 137
b = 43
Now, angle b forms linear pair with angle a, so their sum would be 180
a + b = 180
a + 43 = 180
a = 180 - 43
a = 137
In short, Your Answer would be Option C
Hope this helps!
This is basically a physics problem that requires you to know v=s/t. The question asks for the velocity of each racer and you are provided with how many laps they made (s) and the time it took them (t). Therefore it is just a matter of you calculating these.
35/84= 0,416666666666667
42/96.6= 0,434782608695652
38/102.6= 0,37037037037037
Now because we used laps as the unit for s, DO NOT PUT ANY unit of measurement after it. This is just a good way of comparing one to another.
As you can see the fastest of them all should then be Evans.