Answer:
(0,6),(-2,0)
Step-by-step explanation:
The given equation are;
![y=x^2+5x+6](https://tex.z-dn.net/?f=y%3Dx%5E2%2B5x%2B6)
and
![y=3x+6](https://tex.z-dn.net/?f=y%3D3x%2B6)
We equate both equations to get;
![x^2+5x+6=3x+6](https://tex.z-dn.net/?f=x%5E2%2B5x%2B6%3D3x%2B6)
Regroup all terms on the left hand side to obtain;
![x^2+5x-3x+6-6=0](https://tex.z-dn.net/?f=x%5E2%2B5x-3x%2B6-6%3D0)
![x^2+2x=0](https://tex.z-dn.net/?f=x%5E2%2B2x%3D0)
Factor;
![x(x+2)=0](https://tex.z-dn.net/?f=x%28x%2B2%29%3D0)
![x=0,x+2=0](https://tex.z-dn.net/?f=x%3D0%2Cx%2B2%3D0)
![x=0,x=-2](https://tex.z-dn.net/?f=x%3D0%2Cx%3D-2)
We can put the values of x into any of equations preferably the linear equation to get;
, when x=0.
and
, when x=-2.
The solutions are
(0,6),(-2,0)
Answer:
take 40 degree as reference angle
using sine rule
let opposite be x
sine 40=opposite/hypotenuse
0.64=x/7
0.64*7=x
4.48=x
Step-by-step explanation:
Answer:
7 percent.
Step-by-step explanation:
Hope this helps!
The topics you should learn are equating denominators and fractions. This is summing up simple fractions.
So we have to make denominators' numbers the same in order to sum up them all (we can sum fractions if the denominators are the same) , and we did it by cross product (that thing on the picture)
Equating by lcm (least common multiple) is the easiest way, because you might see bigger numbers on other questions, and cross product will bring much bigger numbers, so this technic might confuse you.
By the way lcm of 4 and 5 is already 20
Hope it helps!