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marissa [1.9K]
3 years ago
14

Given y²+5y-6= (y+p) (y+q), find the values of p and q. ​

Mathematics
2 answers:
Flauer [41]3 years ago
8 0

Answer:

p = 6, q = - 1 , or p = - 1, q = 6

Step-by-step explanation:

Factorise the quadratic expression on the left side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1 , since

6 × - 1 = - 6 and 6 - 1 = + 5 , then

y² + 5y - 6

= (y + 6)(y - 1) = (y - 1)(y + 6)

Compare to (y + p)(y + q) , then

p = 6, q = - 1 or p = - 1, q = 6

alina1380 [7]3 years ago
7 0

Answer:

(y+6)(y-1)

Step-by-step explanation:

literally factorising.

y^2 x -6 = -6y^2

u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.

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3 years ago
Someone help.I'm new<br>i suck at math​.Pleaseweee 50 points?
MrMuchimi

Answer:

45°

Step-by-step explanation:

Let's understand "supplement" and "complement" -- basics of geometry of angles.

  • When we say two angles, a & b, are supplementary, we mean that both ADD up to 180.
  • When we say two angles, a & b, are complementary, we mean that both ADD up to 90.

<em><u>If we have given an angle, such as "x", to find its supplement, we subtract the angle from 180. Similarly, we would need to subtract the angle x from 90 if we were to find the complement of the angle.</u></em>

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We want to find complement of 45, so we subtract 45 from 90 to get:

90 - 45 = 45°

Hence, the complement of a 45° angle = 45°

3 0
3 years ago
Which of the following ordered pair could NOT be included in this set if it is a function?
AlexFokin [52]

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4 0
3 years ago
Need help thank you.
MariettaO [177]

Step-by-step explanation:

3e <= 6

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4 0
3 years ago
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Find the sum of the arithmetic sequence. 3,5,7,9,....,21
inysia [295]
The sum of any arithmetic sequence is the average of the first and last terms times the number of terms.

Any term in an arithmetic sequence is:

a(n)=a+d(n-1), where a=initial term, d=common difference, n=term number

So the first term is a, and the last term is a+d(n-1) so the sum can be expressed as:

s(n)(a+a+d(n-1))(n/2)

s(n)=(2a+dn-d)(n/2)

s(n)=(2an+dn^2-dn)/2

However we need to know how many terms are in the sequence.

a(n)=a+d(n-1), and we know a=3 and d=2 and a(n)=21 so

21=3+2(n-1)

18=2(n-1)

9=n-1

10=n so there are 10 terms in the sequence.

s(n)=(2an+dn^2-dn)/2, becomes, a=3, d=2, n=10

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s(10)=(60+200-20)/2

s(10)=240/2

s(10)=120
7 0
3 years ago
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