Answer:
the ladder in my house.
Step-by-step explanation:
Answer:
A.
= 8i
B. 8i + 5i = 13i
C. 8i - 5i = 3i
D. 8i x 5i = -40
Step-by-step explanation:
A. The square root of any negative number would lead to a complex number. Complex numbers are number which consist a complex part denoted by i.
-1 = 
=
= i
Example: 1. What is the square root of -64?
square root of -64 = 
= 
=
x 
= i x 8
= 8i
= 8i
2. find the square root of -25.
= 
= 5i
B. To add two complex numbers, they are considered as algebraic expressions.
Example, the sum of 8i and 5i can be determined as;
8i + 5i = 13i
C. To add two complex numbers, they are considered as algebraic expressions.
Example, the subtraction of 8i and 5i can be determined as;
8i - 5i = 3i
D. To multiply two complex numbers, the complex part is considered.
Example, determine the product of 8i and 5i.
8i x 5i = 8 x 5 x i x i
= 40
= -40 (∵
= -1)
8i x 5i = -40
Given :
Emilie rides her bike x miles before she gets a flat tire.
She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.
To Find :
Which expression shows how many miles Emilie travels in all.
Solution :
We know, total distance covered is given by sum of all the distance she travelled.
Distance covered, D = x + 1/3 + 2 1/2
D = x + 1/3 + 5/2
D = (6x + 2 + 15)/6
D = (6x + 17)/6
Therefore, total distance travelled by Emilie is (6x + 17)/6 .
we know that
The formula to calculate the slope between two points is equal to

we have

Step 1
<u>Find the slope GH</u>

substitute in the formula



Step 2
<u>Find the slope HJ</u>

substitute in the formula



Step 3
<u>Find the slope JG</u>

substitute in the formula



Step 4
Verify if triangle GHJ is a right triangle
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so

compare slope GH with slope JG
we have


-----> side GH and side JG are perpendicular
The triangle GHJ is a right triangle
The answer in the attached figure
Answer:

Step-by-step explanation:
If you mean an improper fraction, then 