Answer:
20.3 units
Step-by-step explanation:
Write and solve an equation involving ratios:
5 units 15.7 units
------------- = ----------------
9 units C
Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."
Then 5C = 141.3, so that C = 141.3 units / 5 = 20.3 units.
A(-5,5)
B(4,5)
C(2,0)
D(-5,-2)
AB,BC,CD,DA
AB = [4-(-5)),5-5]=[9,0]
Lenght

BC = [2-4,0-5]=[-2,-5]
Lenght

CD = [-5-2,-2-0]=[-7,-2]
Lenght

DA =[-5-(-5),-2-5]=[0,-7]
Lenght

sorted from longest to shortest:
AB, CD,DA,BC
Answer:
(3x - y)(3x + y)
Step-by-step explanation:
Both 9x^2 and y^2 are perfects squares.
The rule for factoring perfect squares is a^2 - b^2 = (a - b)(a + b).
Here, factoring (3x)^2 - y^2 results in (3x - y)(3x + y).
Answer with explanation:
The equation of two planes are
1.→y +2 z=10
2.→x+y=11
To find the point of Intersection of two planes
let,→ y=t
→2 z=10 - t
10 -2 z=t
→x=11 -t
11 -x=t
So,Writing equation of line which is intersection of two planes
→ 11 -x = y= 10-2 z=t

---------------------------------(1)
⇒Putting , x=0, y=0 and z=0 in the above equation ,to find the point Closest to Origin which will be
=(11, 0, 10)