Length = area / width
= 264 / 11
= 24 yards
Answer: which is the same as
If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)
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Explanation:
We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.
Multiply top and bottom of this given fraction by (x+4) to get
Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion sticks around to make sure the domains line up properly.
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Optionally you can expand out each product in the numerator and denominator to get
(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4
(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8
I used the FOIL rule
So,
Answer:
Yes
Step-by-step explanation:
To fins the area if the rectangle you need to find the hypotenuse of the triangles, which are equal. so 10.4 squared plus 15.3 squared is 342.25, and the square root is 18.5.
Then, 18.5 multiplied by 7 is 129.5. Then to fins the area of a triangle you need to do it like a rectangle but in this case, sense there are 2, then just find the area. 129.5+(10.4 times 15.3=159.12)=129.5+159.12=288.62
1. Answer: 1/2
<span>Find the slope of the graph of the relation x^2y + 4y = 8 at the point (2, 1).
In exponent graph, the slope will be constantly changed so you need to determine a fixed point. The slope in point 2,1 would be:
m= y/x= 1/2
2. Answer: </span>-csc(y)
<span>Find y' if x = cos(y)
</span>
x = cos(y)<span>
dx = -sin(y)dy
dy/dx = -1/sin(y)
</span>dy/dx = -csc(y)
<span>y' = -csc(y)</span><span>
3. Answer: </span>y''= -0.48
<span>If 2x^2 + y^2 = −2 then evaluate d^2y/dx^2 when x = 2 and y = 3. Round your answer to 2 decimal places.
</span>
First you need differentiate the equation implicitly
2x^2 + y^2 = −2
dy/dx= 2*2 x^(2-1) + 2*y^2-18y'
4x+4y'y=0
4y'y=-4x
y'= -x/y
Then find out the y'' using quotient differentiation
y'= -x/y
y''=<span>(−y + xy')/y²
</span>If x=2 and y=3 then
y'= -x/y
y'= -2/3
y''=(−y + xy')/y²
y''=(−3 + 2*(-2/3))/3²
y''=(−9/3 - 4/3)/9
y''=(-13/3)/9 = -13/27
y''= -0.48
4. answer = 2( x+1) ^(2)
Find dy/dx if f(x) = (x + 1)^2x.
In this question, the number is (x+1) power 2x. You don't need to touch the (x+1). Just do the differentiation focusing on the 2x.
y= (x + 1)^2x
dx/dy= 2*( x+1)^(1*2 x^1-1)
dx/dy= 2( x+1) ^(2)