Answer: -7twice
Step-by-step explanation:
This is a question on root of quadratic equation. The interpretation of the question
x² 14x + 49 is
x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.
We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods
x² + 14x + 49 = 0
Now, find the product of the first and the last terms, is
x² × 49 = 49ײ
Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.
We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .
49x² = 7x × 7x and the sum gives 14x the middle terms..
Now we now replace the middle one by the factors and then factorize by grouping.
x² + 14x + 49 = 0
x² + 7x + 7x + 49 = 0
x(x + 7) + 7(x + 7) = 0
(x + 7)(x + 7). = 0
Now to find this value of x,
x + 7 = 0
x. = -7twice.
The root of the equation = -7twice.
Answer:
The dimensions of the scaled rectangle are
of length by 
of width
Step-by-step explanation:
we know that
The scale factor is equal to 
Remember that
The scale factor is less than 1
so
the dilation is a reduction
To find the dimensions of the scaled rectangle multiply the dimensions of the original rectangle by the scale factor
The reason how the expression are equivalent given below:
<h3>What is Distributive Property?</h3>
Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting.
The Complete question is:
How can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you know the expressions are equivalent.
Distributive property represents distribute the outside number among the number or digits in parenthesis.
For Example: Solve the expression 7(20 + 3) using the distributive property of multiplication over addition.
When we solve the expression 7(20 + 3) using the distributive property,
we first multiply every addend by 7.
This is known as distributing the number 7 amongst the two addends and then we can add the products.
This means that the multiplication of 7(20) and 7(3) will be performed before the addition.
Hence, 7(20) + 7(3) = 140 + 21 = 161.
Learn more Distributive Property here:
brainly.com/question/5637942
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