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Over [174]
3 years ago
6

Factor the trinomial. p2 - 4p - 5 What is the a, b and c?

Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0

Answer:

(p - 5)(p + 1)

Step-by-step explanation:

Given

p² - 4p - 5

Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)

The factors are - 5 and + 1 , since

- 5 × + 1 = - 5 and - 5 + 1 = - 4, then

p² - 4p - 5 = (p - 5)(p + 1) ← in factored form

The standard form of a trinomial is

ax² + bx + c ( a ≠ 0 )

p² - 4p - 5 ← is in standard form

with a = 1, b = - 4 and c = - 5

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4 years ago
The pH of 0.0001 M solution of Ca(OH)2 is
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Step-by-step explanation:

Since Ca(OH)2 is Basic, we need to find pOH:

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pH of 0.0001M sol. of Ca(OH)2 = 10

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3 years ago
A line segment has endpoints A(4, 8) and B(2, 10). The point M is the midpoint of AB. What is an equation of a line perpendicula
Vera_Pavlovna [14]
I)

The Midpoint M of the line segment AB is found using the Midpoint formula:

M=( \frac{4+2}{2} , \frac{8+10}{2})=(3, 9)

ii)

the slope of the line through A and B is found by the slope formula:

m= \frac{y_1-y_2}{x_2-x_1}= \frac{10-8}{2-4}= \frac{2}{-2}=-1

iii)

the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1

iv) 

the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:

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Answer: y=x+6

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3 years ago
The sum of the square of a number and 34
Ne4ueva [31]
Written as an expression, the statement 'the sum of the square of a number and 34' would look like this:

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Hope that helped! =)
5 0
3 years ago
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Answer:

B

Step-by-step explanation:

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3 years ago
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