Answer:
2/3 or 0.67
Step-by-step explanation:
Slope = y2 - y1 /x2 - x1
Given
x1 = 1
y1 = 8
x2 = 9
y2 = 12
Slope = 12 - 8 /9 - 1
= 4/6
Reduce is by 2
2/3
Or
0.67
Answer:
The answer to your question is 43 ft
Step-by-step explanation:
Data
angle = Ф = 35°
length = 75 ft
height = ?
Process
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.
sin Ф = Height / length
-Solve for height
height = length x sin Ф
-Substitution
height = 75 x sin 35
-Simplification
height = 75 x 0.574
-Result
height = 43 ft
X^2 - 8x-9=0
D = b^2- 4*a*c = 64- 4* (-9) = 64+36=100 =10^2
X1 = (8-10)/2 = -1
X2= (8+10)/2= 9
Answer: " 15 % " .
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→ " 12 is <u> 15% </u> of 80 " .
_______________________________
Step-by-step explanation:
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12 = (n/100) * 80 ;
12 = (80n) /100 ; Solve for "n:
Note: 80/100 = (80/10) / (100/10) = (8/10) = 0.8 ;
12 = (0.8)n ;
↔ (0.8n) = 12
Multiply each side of the equation by "10" ; to get rid of the "decimal" ;
10 * (0.8n) = 10 * 12 ;
to get:
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8n = 120 ;
Divide each side of the equation by "8" ;
to isolate "n" on ONE SIDE of the equation; & to solve for "n" ;
8n/8 = 120/ 8 ;
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to get:
_______________________________
n = 15 .
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Answer: " 15 % " .
_______________________________
→ " 12 is <u> 15% </u> of 80 " .
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Hope this helps!
Best wishes!
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Answer:
y=4x -9
Step-by-step explanation:
y intercept- where the line crosses the y-axis (-9)
Rise over run- 4