Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4
<h3>What is an Algebraic Equation?</h3>
An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.
Algebraic expression for Mat A is: 4x + 3
Algebraic expression for Mat B is: 2x + 11
We would have the following algebraic equation:
4x + 3 = 2x = 11
Solve for the value of x
4x - 2x = 11 - 3
2x = 8
x = 8/2
x = 4
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Answer: The required values are
x = 12 units, ST = 60 units and SU = 120 units.
Step-by-step explanation: Given that T is the midpoint of SU, where
ST = 5x and TU = 3x + 24.
We are to find the values of x, ST and SU.
Since T is the midpoint of SU, so we get

So, the value of x is 12.
Therefore,

and

Thus, the required values are
x = 12 units, ST = 60 units and SU = 120 units.
Answer:
seconds
Step-by-step explanation:
When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:

Plugging this into the quadratic equation, you get:

Since the time must be positive, it takes the ball
seconds to hit the ground, or around 3.828. Hope this helps!
Answer:
x = -11/4
Step-by-step explanation:
Given that:
-2 = 5 / (2x+3)
Multiplying both sides by (2x + 3)
-2(2x + 3) = 5
"-" sign will alter the inner signs
-4x -6 = 5
Adding 6 on both sides:
-4x -6 +6 = 5 + 6
-4x = 11
Dividing both sides by -4
-4x/-4 = 11/-4
x = -11/4
i hope it will help you!
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