Answer:
2x - y = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 1 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To find c substitute (1, 2) into the partial equation
2 = 2 + c ⇒ c = 2 - 2 = 0
y = 2x ← equation in slope- intercept form
Subtract y from both sides
0 = 2x - y , that is
2x - y = 0 ← equation in standard form
Please consider the attached file.
We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.
We will use Pythagoras theorem to solve for KJ as:




Now we will take positive square root on both sides:



Therefore, the length of line segment KJ is
and option D is the correct choice.
Answer: ? = x + 1
Step-by-step explanation:
The perimeter of the garden is x + 3x + 1 + x + ?
The perimeter of the garden is also (6x + 2)
Therfore:
x + 3x + 1 + x + ? = 6x + 2
<em>Collect like terms: </em>
5x + 1 + ? = 6x + 2
<em>Subtract 5x from both sides:</em>
1 + ? = x + 2
<em>Subtract 1 from both sides:</em>
? = x + 1
You cannot find ? as a number, only in terms of x.
B. 361/4
you get: x^2-19x+361/4=(x-19/2)^2