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.
Answer:
The sun released a strong burst of water vapor. As Earth cooled, water in the atmosphere condensed. Materials collided due to strong gravitational forces. The ozone layer formed to protect against harmful UV ray exposure
Step-by-step explanation:
Answer:
look at the attached image
Step-by-step explanation:
Answers:
x = 6 and P = 128
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Explanation:
The tangents CT and CU are equal to each other. The rule is that tangent segments that meet at a common point are the same length.
Let's solve for x
CT = CU
3x = 18
x = 18/3
x = 6
Because CT = 18, this makes BC = BT+TC = 12+18 = 30
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For similar reasoning as mentioned earlier, we can say tangents BT and BV are the same length. This means BV = 12.
Segment CD = 52 and CU = 18, which makes UD = CD-CU = 52-18 = 34
From there, we can say segment DV = 34 also. This leads to BD = BV+VD = 12+34 = 46
Triangle BCD has the three sides
The perimeter is
P = sum of the three sides
P = (side1)+(side2)+(side3)
P = BC + CD + BD
P = 30+52+46
P = 82+46
P = 128
The general equation for a linear equation is 
- y is the y-coordinate
- x is the x-coordinate
- m is the gradient of the slope
- c is where is passes through the y axis
So if you breakdown this equation (
) you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.
Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'
