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olga2289 [7]
3 years ago
13

alice plants carrots in a rectangular garden bed. the garden bed has a width of a 1.5 meters and an area of 6 square meters. whi

ch equation and solution correctly represents x, the length, in meters, of a rectangular garden bed
Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
The answer is 4!

6/1.5= 4
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Factor completely. (x^2 – 4)(x^2 + 6x + 9)<br>​
sertanlavr [38]
<h3>Answer:   (x-2)(x+2)(x+3)(x+3)</h3>

This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.

===============================================

Explanation:

x^2-4 factors to (x-2)(x+2) after using the difference of squares rule

x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule

So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)

We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2

-------------------

Side notes:

  • Difference of squares rule is a^2 - b^2 = (a-b)(a+b)
  • The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2
8 0
3 years ago
A shirt and a tie together cost $57. The shirt costs $33 more than the tie. What is the cost of the shirt?
ArbitrLikvidat [17]

Answer:

Shirt: $45 , Tie: $12

Step-by-step explanation:

Let s be the price of the shirt

Let t be the price of the tie

Given the information from the question,

s + t = 57 - Equation 1

s - t = 33 - Equation 2

We will use substitution method to find the prices.

We will rearranging equation 1.

s = 57 - t

We will substitute s into equation 2.

57 - t - t = 33

57 - 2t = 33

-2t = 33 - 57

-2t = -24

t = -24 / -2

= 12

We now substitute t into Equation 1.

s + 12 = 57

s = 57 - 12

= 45

From here we know, the shirt costs $45 and the tie costs $12

3 0
2 years ago
Read 2 more answers
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