Answer:
<em>(-3, -1)</em>
Step-by-step explanation:
Given the system of equation
y=1/3x-2
y=-3x – 12
Since both equations are y values, we will equate then=m to each other as shown;
1/3x - 2 = -3x - 12
x/3 + 3x = -12 + 2
(x+9x)/3 = -10
x+9x = -30
10x = -30
x = -30/10
x = -3
Substitute x = 3 into equation 1;
From 1: y=1/3x-2
y=1/3(3)-2
y = 1 - 2
y = -1
<em>Hence the required solution (x, y) is (-3, -1)</em>
Given pair of lines are x² + 4xy + y² = 0
⇒ (y/x) ² + 4 y/x + 1 = 0
⇒ y/x = -4±2√3/2 = -2±√3,
∴ The lines y = (-2 + √3) x and y = (-2 - √3) x and x - y = 4 forms an equilateral triangle
Clearly the pair of lines x² + 4xy +y² = 0 intersect at origin,
The perpendicular distance form origin to x - y = 4 is the height of the
h = 2 √ 2
∵ Area of triangle = h²/√3 = 8/√3
Answer:
Can I Know Which Language Is This??
Answer:
405 of the students
Step-by-step explanation:
Answer:
169 sections
Step-by-step explanation:
A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces
The area of the 0.5×5 square foot pieces
Area= 0.5*5.
Area= 2.5 square feet
They have 422 square feet of floor on which to install the hardwood.
Number of sections to be purchased
= 422/2.5
= 168.8 sections
Approximately= 169 sections
