The slope-intercept form:
m - slope
b - y-intercept
We have the slope m = 4 → 
and point (1, 6). Substitute:
<em>subtract 4 from both sides</em>
<h3>Answer: y = 4x + 2</h3>
Sin = opposite / hypotenuse
cos = adjacent / hypotenuse
using pythagoras theorem =
adjacent = 5^2-3^2
= 16
= square root 16
=4
cos x = 4/5
Answer:
x=4± 5sqrt(2)
Step-by-step explanation:
x^2 – 8x – 34 = 0
To complete the square Add 34 to each side
x^2 -8x -34+34=0+ 34
Take the coefficient of x, and divide by 2
-8/2 =-4
Then square it and add it to each side
(-4)^2 =16
x^2 – 8x +16 = 34+16
x^2 – 8x +16 = 50
We replace the left side with (x + the coefficient of x/2)^2
(x -4)^2=50
Take the square root of each side
sqrt((x -4)^2)=±sqrt(50)
x-4 = ±sqrt(25*2)
x-4 = ±sqrt(25)*sqrt(2)
x-4 = ±5sqrt(2)
Add 4 to each side
x=4± 5sqrt(2)
For this case we have the following expressions:
For 
For 
For
:
For any number, the expressions will be equivalent because 
ANswer:
and 
have the same value for b = 1,2,3
Step-by-step explanation:
Let ABC be an isosceles triangle with sides AC and BC of equal length.
We need to prove that the medians AD and BE are of equal length.
Consider the triangles ADC and BEC.
They have two congruent sides that include congruent angles.
Indeed, AC = BC by the condition, because the triangle ABC is isosceles.
Since the lateral sides AC and BC are of equal length, their halves EC
and DC are of equal length too: EC = DC.
Finally, the angle ECD is the common angle.
Thus, the triangles ADC and BEC are congruent, in accordance to the
postulate P1 (SAS) (see the lesson Congruence tests for triangles of the
topic Triangles in the section Geometry in this site).
Hence, the medians AD and BE are of equal length as the corresponding sides
of these triangles.
The proof is completed.
