Answer:
(y + 1) = 3( x +2)
Step-by-step explanation:
from equation,
y - y1 = m( x - x1)
given x1=2, y1= -1
m = 3 (slope)
substitute
y - (-1) = 3( x - 2)
ans: y+1= 3(x+2)
Answer:
(-6, -4)
Step-by-step explanation:
Use substitution.
Since y is already isolated, substitute it into the y of: 4x+3y=-36.
You should get: 4x+3(x+2)=-36
Simplify this and you'll get:
4x+3x+6=-36
Add both of the variables:
7x+6=-36
Add -6 to both sides, (because there is a -36 on one side, and a 6 on the other, you have to add a negative to eliminate the 6 whilst adding to the -36)
7x=-42
Divide both sides by 7:
x=-6
Now substitute this into y=x+2
y=-6+2
y=-4
Given:
<span>mantle layer of earth begins about 70 kilometers underneath the surface
</span><span>outer core begins about 2970 kilometers underneath the surface
Since we need to find the position of each layer </span><span>relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.
Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.
Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value. </span>
We use the SSS congruence rule to prove the triangles to be congruent. From there, we then use CPCTC to show that angle I is congruent to angle L.
This is shown in the two column table (attached image below)
-----------
Notes:
SSS = side side side
CPCTC = corresponding parts of congruent triangles are congruent
