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Karo-lina-s [1.5K]
3 years ago
11

How can you tell if an expression is a perfect square trinomial? Explain.​

Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

A perfect square trinomial is the square of a binomial.

One of the special products and factors formulas that you should know is

(a + b)^2 = a^2 + 2ab + b^2; another is (a - b)^2 = a^2 - 2ab + b^2.

So, if you are given a trinomial and can use either of the above identities to rewrite it as the square of a binomial, you've got it.

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Helen [10]
Well the only right triangle with two similar sides is a special triangle called a 45 45 90. After the degrees of its shape
                                                      _
two sides are x and the other is x/2              _
so in this case the other angle would be 20/2 [20 root (2), its hard to draw roots on this site so I thought I would clarify that was what I was drawing]

Hope this helps, good luck.
5 0
3 years ago
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Could someone please answer question b) ii) ?<br> The question is on the attached image.
mel-nik [20]

Answer:

b) i) Curve A

ii) - 1.75

iii) x = 1 - √5  or x = 1 + √5

Step-by-step explanation:

b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.

The equation can be rearranged to y = (x - 1)² - 4

⇒ (x - 1)² = y + 4

Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.

So, the curve A represents the equation given. (Answer)

ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)

iii) When y = 1, then x² -2x - 3 = 1

⇒ x² - 2x - 4 = 0

⇒ (x - 1)² - 5 = 0

⇒ (x - 1)² - (√5)² = 0

⇒ (x - 1 + √5)(x - 1 - √5) = 0

⇒ x = 1 - √5  or x = 1 + √5 (Answer)

3 0
4 years ago
What system of equations can be used to ring s, the cost in dollars of each standard photo and w, the cost in dollars of each wa
Vaselesa [24]

Answer:

A

Step-by-step explanation:

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3 years ago
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maria [59]

Answer:

me neither :c

Step-by-step explanation:

5 0
3 years ago
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Derek spends $8.50 a day on school breakfasts and lunches. How much does he spend on food in a school week? (Hint: there are 5 d
Anit [1.1K]

Answer:

$42.50

Step-by-step explanation:

$8.50 x 5 days = $42.50

5 0
3 years ago
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