Answer:
what are the numbers if there are more than one number then add all numbers up
Step-by-step explanation: for example
one side of cube :5
another side: 4
another side: 8
another side: 3
add all number up 5+4+8+3=20
Answer: M<1=135 M<2=45 M<3=135 M<4=45
Step-by-step explanation:
Answer:
Given the expression: ![3y^3-2y[4y-y(y-3)]-[2y(y+1)-3y(y^2-1)]](https://tex.z-dn.net/?f=3y%5E3-2y%5B4y-y%28y-3%29%5D-%5B2y%28y%2B1%29-3y%28y%5E2-1%29%5D)
The distributive property says that:
Applying distributive property on the given expression, we have;
![3y^3-2y[4y-y^2+3y]-[2y^2+2y-3y^3+3y]](https://tex.z-dn.net/?f=3y%5E3-2y%5B4y-y%5E2%2B3y%5D-%5B2y%5E2%2B2y-3y%5E3%2B3y%5D)
again apply the same property we have
![3y^3-8y^2+2y^3-6y^2-[2y^2+2y-3y^3+3y]](https://tex.z-dn.net/?f=3y%5E3-8y%5E2%2B2y%5E3-6y%5E2-%5B2y%5E2%2B2y-3y%5E3%2B3y%5D)
or
Like terms are those terms which have same variables to the same power.
Combine like terms;
Therefore, the simplified form of the given expression is,
Note that when two lines have slopes of m₁ and m₂, then
(i) If m₁ = m₂, then the lines are parallel.
(ii) If m₁*m₂ = -1, then the lines are perpendicular.
Let us evaluate the given lines.
a. y = 4x - 1 and 12x = 3y + 7
y = 4x - 1 => m₁ = 4
Write the second equation in standard form.
3y = 12x - 7
y = 4x - 7/3 => m₂ = 4.
m₁ = m₂.
Answer: PARALLEL
b. x - 7y = 10 and 2x + 14y = 21
In standard form,
7y = x - 10 or y = (1/7)x - 10/7 => m₁ = 1/7
14y = - 2x + 21 or y = -1/7 + 3/2 => m₂ = -1/7
m₁ ≠ m₂ and m₁*m₂ ≠ -1.
Answer: NEITHER
c. 5x + 6y = 18 and 18x - 15y = 36
In standard form,
6y = -5x + 18 or y = -(5/6)x + 3 => m₁ = -5/6
15y = 18x - 36 or y = (6/5)x - 12/5 => m₂ = 6/5
m₁*m₂ = -1
Answer: PERPENDICULAR
d. x =1 and y = 1
x = 1 => m₁ is undefined
y = 1 => m₂ = 0
m₁ ≠ m₂ and m₁*m₂ ≠ -1
Answer: NEITHER
Answer:
58 degrees.
Step-by-step explanation:
m<3=180-119=61
Write the equation :
61+(10x-22)+(9x-11)=180
x=8
m<1= 58 degrees
