Answer:
See explanation
Step-by-step explanation:
Given a long algebraic equation, the like terms can be collected. When you collect like terms, you reduce the length of the algebraic equation.
After that, you can factorize the equation where possible. When you factorize the equation. It becomes quite easier to solve it efficiently.
Answer:
m = 44
Step-by-step explanation:
USe the pythagoream thyroem a^2 + b^2 = m^2. so 10^2 + m = 12^2
or 100 + m = 144. subtract 100 from both sides, you get m = 44
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span>
<span>(x−4<span>)2</span>−31=0</span>
<span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
11 for the first one and 12 for the second one
Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.The value of the given functions are,


<h3>
Given information-</h3>
The given function is,


<h3>Quadratic equation</h3>
Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.
1) The value of the function (h+k)(2),




2)The value of the function (h-k)(3),




3) The value of the function 3h(2)+2k(3)



Hence the value of the given functions are,


Learn more about the quadratic equation here;
brainly.com/question/2263981