Answer:
Step-by-step explanation:
This is a parallelogram. In parallelogram, opposite sides are equal.
x + 3 = 6
x = 6 - 3
x = 3
First, Use the slope equation to find the slope of the line passing thru these two points:
m=rise/run
Here, the rise is 13-3, or 10, and the run is 7-2, or 5. Thus, the slope, m, is 10/5, or 2: m=2.
We want the slope-intercept form, so let's begin with its general form:
y=mx+b. Substitute the slope 2 for m: y=2x+b. Now choose either of the given points. Arbitrarily I am choosing (2,3). Then x=2 and y=3.
Substituting these values into y=2x+b: 3 = 2(2) + b, or b= 3 -4, or b = -1.
Then the equation of this line, in slope-intercept form, is y = 2x - 1.
First, that looks like Pearson and if it is, I'm so sorry for you.
Secondly, I think this answer is correct.
Answer:
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (2, - 4), thus
y = a(x - 2)² - 4
To find a substitute (- 3, - 3) into the equation
- 3 = a(- 3 - 2)² - 4
- 3 = 25a - 4 ( add 4 to both sides )
1 = 25a ( divide both sides by 25 ), hence
a = 
y =
(x - 2)² - 4 ← in vertex form
=
(x² - 4x + 4) - 4 ← in expanded form
Hence the coefficient of the x² term is 
Step-by-step explanation:
The reason why all the addition of the all the triangle's angles is equal to 180° is because it's a rule
REMEMBER THAT RULE !!!!
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)