Which of the following best describes the algebraic expression 15x+8
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Use the linear equation to answer the question y=2/3x-3 y=-3/2x+2
-49/4
-7/2
7/2
49/4
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Answer :
Given expression is
To make perfect square trinominal we use completing the square method
In completing the square method we add and subtract the half of square of coefficient of middle term
Here coefficient of middle term is -7
Half of -7 is
Square of is
=
So the expression becomes that gives perfect square trinomial
Hence , the value of 'c' is
The value for c will make the expression a perfect square trinomial is 49/4
How to determine the value of c?
The equation is given as:
x^2 - 7x + c
Take the coefficient of x
k = -7
Divide it by 2
k/2 = -7/2
Square both sides
(k/2)^2 = (-7/2)^2
The above represents the value of c.
So, we have:
c = (-7/2)^2
Evaluate
c = 49/4
Hence, the value for c will make the expression a perfect square trinomial is 49/4
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Sn = a₀×(rⁿ -1)/(r -1)
you have
S₅ = 10×((1/5)⁵ -1)/(1/5 -1)
= 10×(-3124/3125)/(-4/5)
= 10×781/625
S₅ = 1562/125
_____
Or, you can add up the terms
10 + 2 + 2/5 + 2/25 + 2/125 = (1250 +250 +50 +10 +2)/125
= 1562/125
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3x * 2.5= 6.6
2. Then solve. Get x on its own side
3x*2.5=6.6
/2.5=/2.5
3x=2.64
/3=/3
Then check by substituting .88 as x then you will get 6.6
x=0.88
I hope this helped
Final answer:
The question is a basic algebra problem where we are required to solve for a variable, in this instance 'x'. Upon solving the equation 3x + 2.5 = 6.6, we find that x equals approximately 1.37.
Explanation:
The question is asking us to find a number such that when we multiply it by three and then add 2.5, the result is 6.6. In mathematical terms, we can express this as an equation like this: 3x + 2.5 = 6.6.
To solve this equation first, we need to do the opposite operation of adding 2.5 to the equation on both sides, which involves subtracting 2.5 from both sides of the equation. After doing this, the equation becomes 3x = 6.6 - 2.5, which simplifies to 3x = 4.1.
Next, we do the reverse operation of multiplying the unknown by 3, which is done by dividing both sides of the equation by 3. Therefore, x = 4.1 / 3, which gives us x = 1.36666667. This value, rounded to two decimal places, is 1.37.
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The solution to the proportion would be x = 17.8 which is the correct option (B).
What is Ratio?
A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?
Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been the given proportion as:
⇒ 52 : x = 9.5 : 3.25
⇒ 52/x = 9.5/3.25
⇒ 52/x = 2.923
Cross multiplication, and we get
⇒ x = 52/2.923
Apply the division operation,
⇒ x = 17.8
Therefore, the solution to the proportion would be x = 17.8.
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Answer: 17.8
Step-by-step explanation:
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|x - 42.04| = ±23.24
|x - 42.04| = 23.04 U |x - 42.04| = -23.04
x - 42.04 = 23.04 U x - 42.04 = -23.04
+ 42.04 + 42.04 + 42.04 + 42.04
x = 65.05 U x = 19
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We can see here that the LL theorem holds for proving right triangles congruent because it addresses the unique characteristics of right triangles. In a right triangle, one of the angles is a right angle, measuring 90°.
What is theorem ?
A theorem is a statement or proposition that has been proven to be true based on previously established facts, axioms, or other theorems. In mathematics, a theorem is a fundamental concept and plays a crucial role in the development and understanding of mathematical theories and principles.
The LL theorem, also known as the Leg-Leg Congruence Theorem, states that if two legs of one right triangle are congruent to the corresponding legs of another right triangle, then the two triangles are congruent.
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