The value for the expression -10r + 9r is -1r.
A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
-10r+9r
Now, perform operations to solve
=-10 r + 9r
= r( -10 + 9)
Using properties of integers
(-) x (+ )= -
So,
= r( -1)
= -1r
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Answer:
-1r
Step-by-step explanation:
You'll need 2 more lines to complete this two column proof.
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Line 4
For the "statement" portion, you'll say something like
The reason for this statement is "transitive property"
We're basically combining lines 1 and 3 to form this new line.
The transitive property is the idea that if A = B and B = C, then A = C. We connect the statements like a chain.
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Line 5
The statement is what you want to prove since this is the last line.
So the statement is
The reason is "converse of corresponding angles theorem"
As you can probably guess, this theorem says "If two corresponding angles are congruent, then the lines are parallel".
To prove that lines P and Q are parallel based on congruent angles, utilize the geometric understanding that if a transversal intersects two parallel lines, the corresponding angles are congruent. Given that angle 1 is congruent to angle 2, we can infer that the lines forming these angles (P and Q) are parallel.
To prove that the lines P and Q are parallel using the fact that angle 1 is congruent to angle 2, you will utilize the concept of congruent angles. When two parallel lines are intersected by a transversal, the corresponding angles are congruent. Therefore, if we know that angle 1 is congruent to angle 2, we can say the lines forming these angles are parallel.
Here are the steps:
This process uses reasoning of the geometry and reviews the core concept of parallel lines and transversals in proving that P is parallel to Q.
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Answer: 2x^3+5
Step-by-step explanation:
The fraction is defined as a number in the form of a/b where a nd b are integers and b is not equal to zero. Sarah has left with 120 balloons.
A fraction is used to represent a portion or part of anything. It consists of two parts a numerator and a denominator. For example 1/4 is a fraction where numerator is 1 and denominator is 4.
The total number of packages = 8
Number of balloons in each package = 20.
The portion of balloons use to decorate hall = 1/4.
Suppose the remaining balloons are x.
Thus the expression for remaining balloons can be written as,
x = 20 × 8 - 1/4×(20 × 8)
x = 160 - 40
= 120.
Hence, Sarah has left with 120 balloons and the expression for left balloons is x = 20 × 8 - 1/4×(20 × 8).
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Answer:
(8 × 20) ÷ 4
40
Step-by-step explanation:
8 × 20 = 160
160/4 = 40
Use one of the equations of motion under constant acceleration:-
s = ut + 0.5at^2 where s = distance, u - initial velocity, a = acceleration ( in this case it is gravity = 9.81 m s^-2) and t = time.
here we have s = 25*2 + 0.5*9.81 * 2^2
= 69.62 meters answer
Answer: The height of the building is 69.6 m
Explanation:
To calculate the height of the building, we use second equation of motion:
where,
s = height of the building = ?
u = initial velocity of the ball = 25 m/s
a = acceleration due to gravity =
t = time taken = 2.0 sec
Putting values in above equation, we get:
Hence, the height of the building is 69.6 m