Answer:
PT= 130
Step-by-step explanation:
Since T is the midpoint of segment PQ,
PT = TQ
7x - 24 = 6x-2
Subtract 6x both sides and add 24 both sides
7x -6x - 24 = 6x -6x -2
x - 24 + 24 = -2 + 24
x= 22
Substitue x into PT
7(22) - 24
154 - 24
PT= 130
1) given x^4 + 95x^2 - 500
2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )
3) find two numbers that add up 95 and their product is - 500:
=> 100*(-5) = - 500 and 100 - 5 = 95
=> (x^2 + 100)(x^2 - 5)
4) factor x^2 - 5 = (x + √5) (x - √5)
5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)
6) find the solutions:
x^2 + 100 = 0 => not possible
x + √5 = 0 => x = - √5
x - √5 = 0 => x = √5
Answer: x = √5 and x = - √5
Answer:
cheating
Step-by-step explanation:
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7.2 units is the distance between the two points (-5,3) and (1, -1).
The formula used for determining the distance between two points is shown below. In case this equation is used for finding the distance between the origin and a point, the value of x1 and y1 would just be equal to zero.
distance = 
The given points can be directly substituted for the formula.
Let: x2= 1, x1= -5, y2= -1, and y1= 3
distance = ![\sqrt{[1-(-5)]^{2} + (-1 -3)^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%5B1-%28-5%29%5D%5E%7B2%7D%20%2B%20%28-1%20-3%29%5E2%20%7D)
distance = 
distance =
or 7.21 units
When rounded to the nearest tenth, the distance between the two points would be 7.2 units.
For more information regarding the distance between points, please refer to the link brainly.com/question/23848540.
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Answer:hihige vsdf VHGHDA
Step-by-step explanation: