Answer:
It has a scalar factor of 2.5
Step-by-step explanation:
You can just look at the bottom, the first shape has a bottom of 4 square while the second image has a bottom of 10 squared. You can divide the two to get the scaling factor. 10/4 = 2.5
You can also see one of the side square
Since the dimension of the scale model is fourth of dimensions of the room, divide by 4 the given dimensions.
new dimensions:
= 18 ft / 4 = 9/2 ft
= 16 ft / 4 = 4 ft
The area is calculated by multiplying the dimensions,
Area = (9/2 ft)(4 ft) = 18 ft²
Therefore, the area of the scale model is equal to 18 ft².
The area of the shaded region would be 64m²
X^2 + y^2 = (3x^2 + 2y^2 - x)^2
2x + 2y f'(x) = 2(3x^2 + 2y^2 - x)(6x + 4y f'(x) - 1) = 36x^3 + 24x^2yf'(x) + 24xy^2 + 16y^3f'(x) - 4y^2 - 18x^2 - 8xyf'(x) + x
f'(x)(2y - 24x^2y - 16y^3 + 8xy) = 36x^3 + 24xy^2 - 4y^2 - 18x^2 - x
f'(x) = (36x^3 + 24xy^2 - 4y^2 - 18x^2 - x)/(2y - 24x^2y - 16y^3 + 8xy)
f'(0, 0.5) = -4(0.5)^2/(2(0.5) - 16(0.5)^3) = -1/(1 - 2) = -1/-1 = 1
Let the required equation be y = mx + c; where y = 0.5, m = 1, x = 0
0.5 = 1(0) + c = 0 + c
c = 0.5
Therefore, the tangent line at point (0, 0.5) is
y = x + 0.5
<h2>Answer:</h2><h3><em>
y = -1x - 9</em></h3><h2>Explanation:</h2>
First, we’ll need to find the <u>slope</u>.
(-5,-4) (-2,-7)
m = 
m = 
m = 
m = -1
Next, substitute these values into the <u>point slope equation:</u>
y - 
= m(x - 
)
y - (-7) = -1(x - (-2))
y + 7 = -1(x + 2)
Now, convert to <u>slope intercept form (y = mx + b):</u>
y + 7 = -1x -2
-7 -7
y = -1x - 9
