Answer:
x= 6 1/2 or 6.5
Step-by-step explanation:
4^x-5 =8
2^2(x-5) =2^3
since the base is equal, the powers are equal
2(x-5) = 3
2x - 10 = 3
2x = 3 + 10
2x = 13
2x/2 = 13/2
x = 6 1/2 or 6.5
The products that result in a perfect square trinomial is (x + y + x)(x + y + x), (2x - 3)(-3 + 2x) and (4y² + 25)(25 + 4y²)
<h3>What is an
polynomial?</h3>
A polynomial is an expression that involves only the operations of a<em>ddition, subtraction, multiplication</em> of variables.
A perfect square trinomial is the square of a binomial
(x + y + x)(x + y + x) = (2x + y)²
(2x - 3)(-3 + 2x) = (2x - 3)²
(4y² + 25)(25 + 4y²) = (4y² + 25)²
The products that result in a perfect square trinomial is (x + y + x)(x + y + x), (2x - 3)(-3 + 2x) and (4y² + 25)(25 + 4y²)
Find out more on polynomial at: brainly.com/question/2972832
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Answer:
y = 13
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (6, y)
d = 
, that is
d = 
= 10
= 10 ← square both sides
64 + (y - 7)² = 100 ( subtract 64 from both sides )
(y - 7)² = 36 ← take the square root of both sides
y - 7 = 6 ( add 7 to both sides )
y = 13
Answer:
t = 
Step-by-step explanation:
Given
D = M + Mrt ( subtract M from both sides )
D - M = Mrt ( divide both sides by Mr )
= t
The equivalent expressions of 22c + 33d are (a), (c) and (e)
<h3>How to determine the equivalent expressions?</h3>
The expression is given as:
22c + 33d
Factor out 11 from the expression
11(2c + 3d)
Multiply by 1
1 * 11(2c + 3d)
Express 1 as -1 * -1
-1 * -1 * 11(2c + 3d)
Evaluate the product
(-11) * (-2c - 3d)
Also, we have:
22c + 33d
Multiply by 1
(22c + 33d) * 1
Express 1 as 3/3
(22c + 33d) * 3/3
Evaluate the product
(66c + 99d) * 1/3
Hence, the equivalent expressions are (a), (c) and (e)
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