Answer:
slope=0
Step-by-step explanation:
Slope (m) = ΔY
/ΔX
=0
ΔX = -3 – 6 = -9
ΔY = 8 – 8 = 0
Distance (d) = √ΔX2 + ΔY2 = √81 = 9
Equation of the line:
y = 0x + 8
When x=0, y = 8
The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
<h3>What is a mathematical model?</h3>
A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.
The model, which represent the cost of window in dollar, is,
C=(n²/5)+175
A window costs $355. Thus, C=355. Put this value in above model as,
355=(n²/5)+175
355-175=(n²/5)
180 x 5=n²
n=√(900)
n=30
Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
Learn more about the mathematical model here;
brainly.com/question/4960142
#SPJ1
X^2-y^3=6
x^2-6=y^3
y= (x^2-6)^1 by 3
Answer:
Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x
Step-by-step explanation:
Let us go through each of the equations one by one.
Equation A: 
This simplifies to
which has infinitely many solutions.
Equation B: 
this simplifies to
which is exactly one solution.
Equation C: 
this simplifies to
There's no way this is going to be possible; this equation has no solutions.
Equation D: 
this gives
which is exactly one solution.
Thus we see that it is equation C that has no solutions.
Answer:
- length: 30 ft
- width: 10 ft
Step-by-step explanation:
The description of the garden fits that of 3 squares arranged side-by-side. The area of each of those would be 100 ft², so their side length would be ...
s = √A= √(100 ft²) = 10 ft
This dimension is the width of the garden, whose length is 3 times this amount.
The length and width of the garden are 30 ft and 10 ft, respectively.
