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.
Learn more about Expression:
brainly.com/question/13947055
Answer:
if you where trying to draw it straight then yes it is a polygon but if it is supposed to be rounded then no it is not.
Step-by-step explanation:
a plane figure with at least three straight sides and angles, and typically five or more.
Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:


Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

If
and
, then:


Then, the expression is
. Finally, if
, then the time is:


The stone would take approximately 10.107 seconds to fall 500 meters.
Answer:
The average acceleration of the car will be 10 m/s.
Step-by-step explanation:
70 / 7 = 10 m/s.