Rotation doesn't matter for this question... <em>The dilation is key... you made each side of the triangle 4 times bigger</em>
<h3>Answer:</h3>
A. False:
.... if the base is 4 times bigger and the height is 4 times bigger .... <em>the area will be </em><em>16</em><em> times bigger</em>
B. True .... you just add all sides, each is 4 times bigger
C. False ... by definition of dilation, the sides grew
D. True... Size changed, but the shape stayed the same (so, did the angles)
Answer:
Step-by-step explanation:
First you add 4 on both sides
X^2=0
Then you take square on both sides
X=+- the square root of 4
Simplify that
X=plus or minus 2
The answer can be either -2 or +2 (which is just 2)
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
Answer: 20x^8 y^10
Step-by-step explanation:
First off, simplify the exponential of x and y and the integers on the left side of the equation getting 32x^8 y^10 - 12x^8 y^10 = 20x^8 y^10
Answer
the length is 20 cm and breadth is 16cm
Step-by-step explanation:
let, 2(a+b)= 72( as its the formulae of circumference)
here a is the length and b is the breadth
now total area is ab
according to the question
a(b-6)= ab-120
or -6a= - 120
so length is 20 cm
now by putting the value in the 1st eq we get
2(a+b)=72
or(a+b)=36
or 20+b=36
so breadth is 16 cm.
length is 20cm and breadth is 16 cm
(u can verify that easily)
thank u
