The difference between (3x+6y)(3x+6y) and (4x+9y)(4x+9y) is 7x² +36xy+45y²
<h3>What is an Expression ?</h3>
An expression is a mathematical statement which has variables , constants and mathematical operators simultaneously.
The expression given in the question is
(3x+6y)(3x+6y) and (4x+9y)(4x+9y)
the difference when (3x+6y)(3x+6y) is subtracted from (4x+9y)(4x+9y)
(4x+9y)(4x+9y) - (3x+6y)(3x+6y)
16 x² + 36xy+36xy +81y²-9x²-18x -18x -36y²
7x² +36xy+45y²
Therefore in simplest term , The difference between (3x+6y)(3x+6y) and (4x+9y)(4x+9y) is 7x² +36xy+45y²
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Answer:
a.) 5x
b.) 6xy
c.) 6xy
Step-by-step explanation:
5 * x = 5x
6 * x * y = 6xy
2 * x * 3 * y = 6xy
Answer:
you need to draw a triangle of given dimensions
Step-by-step explanation:
if B is right angle triangle then you can assume that either AB or BC is base and other one is perpendicular. So that makes AC hypotenuse
so let's assume BC is base of 6 cm. so draw a base of 6 cm line , name it BC
then draw a 90 degree angle on B keeping BC as Base . now length of perpendicular would be 4.5 cm. this perpendicular would be AB
no join A and C . length of AC should be 7.5 cm. if it's not then something is wrong in given question.
One of the requirements of a rectangle is that it must have four right angles ( a right angle is 90 degrees) so you just multiply 90 by 4 and you get 360 degrees
The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
