An expression has numbers, variables, and mathematical operations. The equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A perfect square trinomial is in the form (a+b)²=a²+b²+2ab. If we compare the perfect square trinomial x²+mx+m, we will get that the value of m should be such that it satisfies the equation
. Since there is only one value that can satisfy this equation that is 2.
Therefore, the equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².
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To change 97/14 into a mixed number, first figure out how many times 14 can go into 97 without going over. This would be 6 times which would be the whole number part of your mixed number. Then, multiply 6 by 14 to get 84 and subtract it from 97 to get 13 which would be the part over 16. This would result in your answer 6 13/16, would be 97/14 in mixed number form.
Answer:
0.1,0.5,0.8,0.9
Step-by-step explanation:
We first get the gradient of the equation of a line by taking the
change in y over change in x
Hence our gradient will be
(6-9.5)/(8-1)=-3.5/7=0.5
Taking an arbitrary point(x,y) and using our gradient we get
and one of the points above we get
(y-6)/(x-8)=0.5
y-6=0.5*(x-8)
y-6=0.5x-4
y=0.5x+2 or y=1/2x+2
which is the line of our equation the answer we are
asked for.
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When a number is next to a letter like so: 3m You would multiply, so
3 ~ 2 = 6 then solve the problem like this
11-3m= ?
3~2=6
6-11=5
so 11-3m=5
Hope this helps! :)