Answer:
x+3y=14
Step-by-step explanation:
Standard form for an equation of a line is ax+by=c . Some books have restrictions on a,b, and c.
So first thing I'm going to do is state the equation I'm going to use to get there.
I'm going to use the point-slope form because we are given a point (2 really) and we can find the slope using two points (we have).
Line up points and subtract. You will then put second difference over the first difference. This will give you the slope. You could just use (y2-y1)/(x2-x1).
( -1 , 5)
-( 2, 4)
-----------
-3 1
So the slope is 1/-3 or -1/3 .
So the equation in point-slope form, y-y1=m(x-x1), is y-4=-1/3 (x-2) .
y-4=-1/3 (x-2)
First step: I'm going to get rid of the fraction by multiplying both sides by 3.
3y-12=-1(x-2)
Second step: Distribute
3y-12=-x+2
Third step: add x on both sidfes
x+3y-12=2
Fourth step: add 12 on both sides
x+3y=14.
289 * 7
289
7 x
2023
so
289 * 7 = 2023
<h2>x² - x - 12</h2><h2 />
Start by setting up your two sets of parenthses.
X² breaks down into x and x.
What we are looking for is factors of the constant term
that add to the coefficient of the middle term.
The question is, what is the coefficient of the middle term
in this problem if there is nothing written in front of the x.
Well if there is nothing written there,
the coefficient is understood to be 1.
So what we are looking for are factors of -12 that add to -1.
<em><u>Factors of -12</u></em>
+12 · -1
-12 · +1
+6 · -2
-6 · +2
+4 · -3
-4 · + 3
We can see that -4 and +3 add to -1.
So they go in the second position of each binomial.
This gives us (x - 4)(x + 3) as our answer.
Answer:
cos²x.sec²x =1 (formula)
cos and sec are reciprocal to each other
cos²x=1/sec²x
now from the eq above,open the brackets and multiply
1-cos²2x
sin²2x
