Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
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4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (6,8) and solve for b
Subtract 24 from both sides to isolate b
Therefore, the y-intercept of the line is -16. Plug this back into :
I hope this helps!
Answer:
=4/5(N+7)N
Step-by-Step Explanation:
We move all terms to the left:
-(4/5(N+7)N)=0
Domain of the equation: 5(N+7)N)!=0
N∈R
We multiply all the terms by the denominator
-(4=0
We add all the numbers together, and all the variables
=0
N=0/1
N=0
Sin(B) = opp/hyp = 32/40 = 0.8
cos(B) = adj/hyp = 24/40 = 0.6
tan(B) = opp/adj = 32/24 = 1.33 (repeating)
The surface area of the right triangular prism is 270 sq ft
<h3>Total surface ara of the prism</h3>
The total surface area of the prism is the sum of all the area of its faces
For the two triangles
A = 2(0.5bh)
A = bh
A = 7 * 12 = 84 sq.ft
For the two rectangles
A = 2lw
A = 2(6*12)
A = 2 * 72 = 144 sq.ft
For the third triangle;
Area 6ft * 7ft
Area = 42 sq.feet
Taking the sum of the areas
TSA = 84 + 144 + 42
TSA = 270 sq ft
Hence the surface area of the right triangular prism is 270 sq ft
Learn more on surface area of prism here; brainly.com/question/1297098
