Answer:
x=7 x=-5
Step-by-step explanation:
x^2 – 2x – 35 = 0
Factor
What 2 numbers multiply to -35 and add to -2
-7*5 = -35
-7+5 = -2
(x-7) (x+5) =0
Using the zero product property
x-7 =0 x+5=0
x-7+7=0+7 x+5-5=0-5
x=7 x=-5
Answer:
2900 milligrams
Step-by-step explanation:
I had to do it and I got it right.
% 6.4.20
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 5x + 19 and MP = 8x - 8
x=0
Question:
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 3x + 1 and MP = 8x – 4
Answer:
Value of x = 9, Length of LN = 64, Length of MP = 64
Solution:
Given LMNP is a rectangle. LN and MP are diagonals.
LN = 5x + 19 and MP = 8x – 8
Diagonals of a rectangle are equal in length.
⇒ LN = MP
⇒ 5x + 19 = 8x – 8
Combine like terms together.
⇒ 19 + 8 = 8x – 5x
⇒ 27 = 3x
Divide by 3 on both sides of the expression, we get
⇒ x = 9
The value of x is 9.
To find the length of the diagonals.
LN = 5(9) + 19
= 45 + 19
LN = 64
MP = 8(9) – 8
= 72 – 8
MP = 64
Length of LN = 64 and the length of MP = 64.
The perimeter of the given triangle in the coordinate plane is 36 units.
Given:
The triangle PQR with vertices P(-2,9) Q(7,-3) and R(-2,-3) in the coordinate plane.
To find:
The perimeter of the triangle.
Solution:
The distance formula to find the distance between two points () and
():
The distance between point P(-2,9) and Q(7,-3)
The distance between point Q(7,-3) and R(-2,-3)
The distance between point R(-2,-3) and P(-2,9)
The perimeter of the triangle will be given by"
The perimeter of the given triangle in the coordinate plane is 36 units.
Learn more about the distance formula here: