36.96 with the formula 0.24 * 154 = 36.96
1. a. 0=0, 4x=4x, -18=-18
b. 3
2.a. 0=-2, 2= 0
b. 2
The first step is to find the slope. Use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)
So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2
The slope is -2
Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5
y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3
The y intercept is 3
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m = -2 is the slope
b = 3 is the y intercept
Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
area = 7×2+7×2+11×2 = 50sq ft
Answer: The correct answer is: " 3 " .
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Step-by-step explanation:
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The problem given is:
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Evaluate: log 2 base 8 .
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Rewrite as: "
" ; 
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Take note of the following definition of a logarithm:
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"
" ; ↔ "
" ;
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in which:
refers to the "base" ;
refers to the "argument" ;
refers to the "exponent" ;
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As such:
"
"
⇔ "
" ; Solve for "x" ;
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Note:
2⁰ = 1 ;
2¹ = 2 ;
2² = 2 * 2 = 4 ;
2³ = 2 * 2 * 2 = 8 .
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→ "
" ;
→ "
" ; since: "
" ;
→ as such: " x = 3 " ;
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Thus:
"log 2 base 8 " ;
=
.
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Hope this helps!
Best wishes to you!