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:
y=-3x+4
Step-by-step explanation:
The question is asking for the equation in slope-intercept form. This is y=mx+b where m is the slope and b is the y-intercept.
The slope can be found by counting the units in between two points on the graph. Remember that slope is rise over run or y/x. Two points on the graph are (2,-2) and (1,1). The y is increasing by 3 while x is decreasing by 1. This means the slope is -3.
The y-intercept is where the line intersects with the y-axis. In this case, that point is (0,4). Therefore, b=4.
The final answer is y=-3x+4.
I don't get you but if you transform the equation to it's standard form, it will be
3x+4y=4
First, Multiply each term by 4:
y(4)=-3x/4(4)+1(4)
4y=-12x/4+4
4y=-3x+4
Now add 3x to both sides of the equation:
4y+3x=-3x+3x+4
3x+4y=0+4
3x+4y=4
Answer:
Q.1.
Sum of angles of a triangle = 180°
∠A + ∠B + ∠c = 180
(3x - 9) + (4x + 15) + 90 = 180
3x - 9 + 4x + 15 + 90 = 180
7x + 96 = 180
7x = 84
x = 12
∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°
∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°
∠A = 27°
∠B = 63°
Q.2.
x = 14
y = 60°
Answer:
121, 129, 137, 145, 153, and 161
Step-by-step explanation:
If you look at the sequence there is a pattern. You are adding by 8. To get 121 I added 8 to 113. You can check by subtracting 8 from 121, this should give you 113.
