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:
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Answer:
Step-by-step explanation:
f(x) = 2x - 3
f(-2) = 2(-2) -3 = -4 - 3 = -7
f(-1) = 2(-1) -3 = -2 - 3 = - 5
f(0) = 2(0) -3 = 0 - 3 = -3
f(1) = 2(1) -3 = 2 - 3 = -1
f(2) = 2(2) -3 = 4 - 3 = 1
f(3) = 2(3) -3 = 6 - 3 = 3
Answer:
13
Step-by-step explanation:
pick me as the brainliest. thx
A = 1/2 b h where b = 3.4 cm and h = 8 cm
A = 1/2 (3.4)(8)
A = 13.6 cm^2
Answer: 13.6 cm^2
-3x - y = -17
4x + 2y = 20
multiply one part of the equation so that we can be able to use the process of elimination.
(-3x - y = -17)2
4x + 2y = 20
Now we have:
-6x -2y = - 34
4x+2y= 20
------------------------
-2x = -14
Divide -2 on both sides.
-2x = -14
/-2 /-2
x = -7.
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To solve for y, we just have to substitute the value of x to any of the equation given above, that we feel comfortable with. And I'm going to choose this equation: 4x + 2y = 20
4x + 2y = 20
4(-7) + 2y = 20
-28 + 2y = 20
Add 28 on both sides
-28 + 2y = 20
+28 +28
---------------------
2y = 48
/2 /2
y = 24.
The last thing you would do is to check if the answers is correct.
All you have to do is plug in the values of x and y into both equations and see if they equal to one another.
You may have to do this by yourself :P
Anyways, if you have any questions about this topic, feel free to PM me or any other users interested. Thank you for being part of Brainly! Have a nice day!