Answer:
<u>m = 0</u>, y = -6
Step-by-step explanation:
using point slope form :
y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).
one substituted, it should look like this:
-6--6 = m(7-4),
-6+6= m(7-4)
0 = m(7-4)
0 = 3m
0/3 = 3/3m
0 = m
m = 0/3 = 0
5.5 ( 8 - x ) + 44 = 104 - 3.5 ( 3x + 24 )
Distribute 5.5 through the parenthesis.
44 - 5.5x + 44 = 104 - 10.5x - 84
Add the numbers.
88 - 5.5x = 20 - 10.5x
Move variable to the left side and change its sign.
88 - 5.5x + 10.5x = 20
-5.5x + 10.5x = 20 -88
Collect like terms.
5x = 20 - 88
Calculate the sum or difference.
5x = - 68
Divide both sides by 5.
x = - 68 / 5
Step-by-step explanation:
2.3141414...
= 2 + 3/10 + 14/990
= 2 + 311/990
= 2291 / 990
Answer:
#3
<u>What was the area left unpainted?</u>
Option D
#4
<u>How big is Ben's share?</u>
- 998.50 - 18.6² = 652.54 m²
Option A
#5
<u>The area of a circular pool whose radius is 2 m:</u>
- A = π² = 3.14*2² = 12.56 m²
Option A
The given logarithmic equation solved for x is x = 10
<h3>Solving Logarithmic equations</h3>
From the question, we are to solve the given logarithmic equation.
The given logarithmic equation is
log((4x)/(8)) = log(x - 5)
To solve the given logarithmic equation, we will determine the value of the unknown variable.
The unknown variable in the equation is x.
From one of the rules of logarithm, we have that
If logₓY = logₓZ
Then,
Y = Z
Thus,
From log((4x)/(8)) = log(x - 5)
We can write that
(4x)/(8) = (x - 5)
Now, solve for x
(4x)/(8) = (x - 5)
Multiply both sides by 8
8 × (4x)/(8) = (x - 5) × 8
4x = 8x - 40
Subtract 8x from both sides of the equation
4x - 8x = 8x - 8x - 40
-4x = -40
Multiply both sides by -1
-1 × -4x = -1 × -40
4x =40
Divide both sides by 4
4x/4 = 40/4
x = 10
Hence, the solution of the equation is x = 10
Learn more on Solving logarithmic equation here: brainly.com/question/237323
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