The formula is a^2-b^2=(a-b)(a+b)
So answer is (5x-3)(5x+3)
Tayna bought 3 items that all share the same price.
So, we will call this 3x. Where x = a price.
Then Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. So, we will call this 4(x - 2.55).
We put parentheses around the x and 2.55 because x = the price and Tony's items all are $2.55 less than Tanya's.
Now lets put the equation together and solve this.
3x = 4(x - 2.55)
It has an equal sign because both paid the same amount of money.
Let's do the distributive law of property with the 4.
3x = 4x - 10.2
-x = -10.2
Transpose the 4x.
Because both are negative, it's actually positive.
x = 10.2
Now let's substitute the x in the equation to see if it fits!
3(10.2) = 4(10.2 - 2.55)
After doing the work it comes out as 36=36.
But now back to the original question. What is the individual price for each person?
We know that Tayna's price for each item is $10.2. But what about Tony's?
Well in the question it said it's $2.55 less than Tayna's items.
$10.2 - $2.55 = $7.65
So, each of Tony's items is $7.65.
The true statement about the triangle is (a) b^2 + c^2 > a^2
<h3>How to determine the true inequality?</h3>
The sides are given as:
a, b and c
The angle opposite of side length a is an acute angle
The above means that:
The side a is the longest side of the triangle.
The Pythagoras theorem states that:
a^2 = b^2 + c^2
Since the triangle is not a right triangle, and the angle opposite a is acute.
Then it means that the square of a is less than the sum of squares of other sides.
This gives
a^2 < b^2 + c^2
Rewrite as:
b^2 + c^2 > a^2
Hence, the true statement about the triangle is (a) b^2 + c^2 > a^2
Read more about triangles at:
brainly.com/question/2515964
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Answer:
Area = 19.05 feet squared
Step-by-step explanation:
By applying sine rule in ΔABC,
sin(∠CAB) =
sin(60°) =
BC = 2√3
Area of a parallelogram is given by the formula,
Area = Base × Height
= 5.5 × 2√3
= 11√3
= 19.05 ft²
Therefore, answer is Area = 19.05 ft squared.
Multiply the given equation by 4/3. This is a positive number, so the sense of the inequality remains the same.
A. a > -21 1/3
_____
When solving inequalities, the rules of equality hold, except when multiplying or dividing by a negative number (and when applying certain functions). In those cases, the direction of the inequality must be reversed. As a simple example, consider the inequality
2 > 1
When this is multiplied by -1, you get
-2 < -1 . . . . . > has changed to <