Answer:
see below
Step-by-step explanation:
a)5a−6b+7c from 13a−4b+8c
13a−4b+8c -(5a−6b+7c)
Distribute the minus sign
13a−4b+8c -5a+6b-7c
Combine like terms
8a +2b +c
b)2x²−3xy+4y² from 3x²−5xy−6y²
3x²−5xy−6y² - (2x²−3xy+4y²)
Distribute the minus sign
3x²−5xy−6y² - 2x²+3xy-4y²
Combine like terms
x²−2xy−10y²
c)x²+4xy−3y² from 2x²−5xy+y²
2x²−5xy+y² - (x²+4xy−3y²)
Distribute the minus sign
2x²−5xy+y² - x²-4xy+3y²
Combine like terms
x²−9xy+4y²
d)4x³−6x²+8x−9 from 7x³−16x+18
7x³−16x+18 - (4x³−6x²+8x−9)
Distribute the minus sign
7x³−16x+18 - 4x³+6x²-8x+9
Combine like terms
3x³+6x²−24x+27
Answer:
10
Step-by-step explanation:
Since F is the midpoint of EG, EF and FG are equal. We know that FG is 4 units, so EF must be 4 units. We also know that FH and EF make EH, so we substitute the values that we have.
FH + EF = EH
6 + 4 = EH
EH = 10
Answer:
Equation of circle in standard form with centre (0, – 10) and radius 6. ![\mathbf{x^2+(y+10)^2=36}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%5E2%2B%28y%2B10%29%5E2%3D36%7D)
Step-by-step explanation:
We need to write equation of circle in standard form with centre (0, – 10) and radius 6.
The equation of circle is: ![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
where (h,k) is centre of circle and r is radius
We are given centre (0,-10) so, h=0, k=-10 and radius r = 6
Putting values and finding equation:
![(x-h)^2+(y-k)^2=r^2\\(x-0)^2+(y-(-10))^2=(6)^2\\x^2+(y+10)^2=36](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2%5C%5C%28x-0%29%5E2%2B%28y-%28-10%29%29%5E2%3D%286%29%5E2%5C%5Cx%5E2%2B%28y%2B10%29%5E2%3D36)
So, equation of circle in standard form with centre (0, – 10) and radius 6. ![\mathbf{x^2+(y+10)^2=36}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%5E2%2B%28y%2B10%29%5E2%3D36%7D)
The limand is continuous at <em>x</em> = -1, so
![\displaystyle\lim_{x\to-1}\frac{x^{10}+x^3+1}{x-1}=\frac{(-1)^{10}+(-1)^3+1}{-1-1}=-\dfrac{1-1+1}2=-\dfrac12](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto-1%7D%5Cfrac%7Bx%5E%7B10%7D%2Bx%5E3%2B1%7D%7Bx-1%7D%3D%5Cfrac%7B%28-1%29%5E%7B10%7D%2B%28-1%29%5E3%2B1%7D%7B-1-1%7D%3D-%5Cdfrac%7B1-1%2B1%7D2%3D-%5Cdfrac12)
Answer:
C
Step-by-step explanation:
The picture