Find the value of x in 10x=100,000
Answers
x = 10000
10x/10=100000/10
Simplify.
x=10000
x is equal to 10000
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Which statements are true about adding the rational expressions? Check all that apply
The least common denominator is 20p
.
The first fraction rewritten with the LCD is 20p^2+30 / 20p^2
The second fraction rewritten with the LCD is 4p - 4 / 20p
The sum is 24p^2-,4p+30 / 20p^2 = 12p-2p+15 / 10p^2
The sum is a rational expression.
Answers
1) The given fractions to add are:
4p² + 6 2p - 2
------------ + ------------
4p² 10p²
2) The statements to asses are:
A) The least common denominator is 20p
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²
C) The second fraction rewritten with the LCD is (4p - 4) / 20p
D) The sum is (24p² -4p +30 ) / 20p² = (12p-2p+15) / 10p^2
E) The sum is a rational expression.
This is the result for each statement.
A) The least common denominator is 20p
FALSE: THE LCD IS 20p², because it the least expression that contains all the prime factors of both denominators: 4p² and 10p.
See that you cannot divide 20p by 4p² but you can divide 20p² by 4p² and 10 p. So, 20p is not a common denominator.
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²
TRUE: you get this expression from the first fraction by multiplying both numerator and denominator by 20p² / 4p² = 5:
(4p² + 6)×5 = 20p² + 30
(4p²)×5 = 20p²
=>
20p² + 30
--------------
20p²
C) The second fraction rewritten with the LCD is (4p - 4) / 20p
FALSE: you have to multiply both numerator an denominator by 20p² / 10p = 2p
(2p - 2) × 2p = 4p² - 4p
10p × 2p = 20p²
So, the second fraction rewritten with the LCD is:
4p² - 4p
-----------
20p²
D) The sum is (24p² - 4p +30 ) / 20p² = (12p-2p+15) / 10p²
TRUE
20p² + 30 4p² - 4p 24p² - 4p + 30
-------------- + --------------- = ----------------------
20p² 20p² 20p²
And when you simplify the last fraction dividing by 2 you get:
12p² - 2p + 15
-----------------------
10p²
E) The sum is a rational expression.
TRUE:
The sum of rational number has the closure property which means that by adding rational expression you will always ge a rational expression.
2. An Angle
3. Perpendicular Lines
4. A Plane
Answers
Answer:
2) An angle is the correct option.
Step-by-step explanation:
Given : Two rays that intersect at a common endpoint.
To find : Which represents two rays that intersect at a common endpoint.
Solution : We have given
Two rays that intersect at a common endpoint.
Angle : An angle is the space between two lines that meet each other ,When two lines meet at a point.
Therefore, 2) An angle is the correct option.
Answers
Taking into account the definition of maximum, minimum and vertex of a quadratic function, it takes 12.5 seconds for the projectile to reach maximum height.
A quadratic function is defined in the form:
y= f (x) = ax² + bx + c
Every quadratic function has a maximum or a minimum, which is the vertex of the parabola. If the parabola has an upward concavity, the vertex corresponds to a minimum of the function; whereas if the parabola has concavity downwards, the vertex will be a maximum.
That is, if the coefficient a is positive the parabola is concave and the vertex will be a minimum of the function, while if a is negative the parabola will be convex and the vertex is a maximum.
The maximum or minimum is reached in
The maximum or minimum value of y is obtained by evaluating the function at xv, this is, f (xv).
In this case, the function is:
h(t)= -16t² + 400t
where t is the time in seconds
Being a = -16 and b = 400, the value of a is negative, so the vertex will be the maximum.
You want to know the time it takes for the projectile to reach the maximum height, that is, the maximum in t. That is, you must calculate t using the expression:
So:
Solving:
t= 12.5 seconds
It takes 12.5 seconds for the projectile to reach maximum height.
Learn more about cuadratic function with this examples:
Answer:
You can find the answer by using the formula x=-b/2a
Step-by-step explanation:
Remember the maximum height will be at the vertex. The x value of the vertex is your time, so use x=-b/2a. Then if it had also asked what the height was, you would plug that answer into your equation to find the y value of the vertex. Pretty sure your teacher is just asking you to find the x though:)
four to the power of the fraction sixteen over eighty one square inches
two to the power of eight ninths square inches
four to the power of eight ninths square inches
Answers
sides of a square = 2^4/9
Area of a square = a²
A = (2^4/9)²
A = 2^ 4/9*2/1
A = 2^8/9
two to the power of eight ninths square inches
Answers
Answer:
1.78 miles
Step-by-step explanation:
3/4 = .75 of a mile + 1.3 = 1.78
The answer is 2.05.
you can make the fraction into a decimal, 3/4=0.75, then you just add 0.75 to 1.3.
Answers
cancel common factors and then see whats left...
So you cancel (x+5) and 4(5x-3)?
Your CORRECT answer is:
a. quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ −9
THIS IS 100% CORRECT!!!