<em>x equals 22</em>
<h2>Explanation:</h2>____________________________________________
The Segment Postulate states the following:
<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>
____________________________________________
From the figure:
Our goal is to find x:
Dilation: brainly.com/question/2501119
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The two linear equations in two variable is:
12 x + 3 y = 40
7 x - 4 y = 38
(a) For a system of equations in two Variable
a x + by = c
p x + q y = r
It will have unique solution , when
As, you can see that in the two equation Provided above
So, we can say the system of equation given here has unique solution.
(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.
1. 12 x+3 y=40
2. 7 x-4 y=38
Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),
L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)
= 30 -10.20
= 19.80≠ R.H.S that is 40.
Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)
= 17.5 +13.6
= 31.1≠R HS that is 38
So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of this system of the equation.
The equation which is equivalent to is
or x = 6 (
).
<u>Step-by-step explanation:</u>
Given Equation:
As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:
Then, the base b logarithm of x is equal to y
Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,
When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as