Answer:
4) m: 1.25 b: 6 Equation: y= 1.25x + 6
5) m: 20 b: 10 Equation: y= 40x + 10
6) m: -2 b: 0 Equation: y= -2x + 0
7) m: 1/5 b: 1 Equation: y= 1/5x + 1
8) -8.7 = 1.3x + 0
I really hope this helps!
Answer:
Step-by-step explanation:
Given the expression:
To find:
The expression of above complex number in standard form 
.
Solution:
First of all, learn the concept of 
(pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by .
Value of 
.
Now, let us consider the given expression:
So, the given expression in standard form is .
Let us compare with standard form so we get 
.
The standard form of
is: 
Step-by-step explanation:
A=4πr^2=4·π·10^2≈1256.63706ft²
Answer is 1256ft^2
Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
Step-by-step explanation:
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