Vertical means the opposite angle, or in dictionary definition means each of the pairs of opposite angles made by two intersecting lines. So the vertical angle to angle LHI (angle 9) will be angle DHG (angle 7)

5 0

3 years ago

Solve the diﬀerential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.

Anna [14]

Equation at the end of step 1 : (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0 Step 2 :Step 3 :Pulling out like terms :

3.1 Pull out like factors :

 -3x3y7 + x3y - 6y = -y • (3x3y6 - x3 + 6)

Trying to factor a multi variable polynomial :

3.2 Factoring 3x3y6 - x3 + 6

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Equation at the end of step 3 : -y • (3x3y6 - x3 + 6) = 0 Step 4 :Theory - Roots of a product :

4.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

4.2 Solve : -y = 0

Multiply both sides of the equation by (-1) : y = 0

3 0

3 years ago

A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the compa

Reptile [31]

Answer: Our required probability is 0.3162.

Step-by-step explanation:

Since we have given that

n = 60

Probability of success = $\dfrac{2}{3}$