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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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Pls help I really need it
tangare [24]

Answer:

x = 20

p =54

y= 54

Step-by-step explanation:

2x-4 = 96-3x

5x = 100

x = 20

2x-4 = 40-4 = 36

(180 - (36 x 2))/2

(180-72)/2

108/2

p = y =54

5 0
2 years ago
Solve the equation.<br><br> 5=w2.2
Sedaia [141]

Answer:

The answer is about 2.27

Step-by-step explanation:

Hope this help <3

Let me know if you need an explanation

5 0
2 years ago
HELP!
Tems11 [23]
Answer:

Picture below answers your question.

7 0
2 years ago
Use slopes and y-intercepts to determine if the lines 5x-5y=-2 and -x+2y=4
HACTEHA [7]

The given pair of lines are not perpendicular.

<h3>What is a line?</h3>

The line is a curve showing the shortest distance between 2 points.

5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5


The slope of equation 1 is m_1 = 1  and intercept c = 2 / 5


Similarly
x + 2y = 4    - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2


Slope of the equation 2  m_2= -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2


Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
m_1*m_2 = -1

Thus, the given pair of lines are not perpendicular.

Learn more about lines here:

brainly.com/question/2696693

#SPJ1  

6 0
1 year ago
4 divided by 0.2 Please answer first one answers gets marked brainiest + 20 points!
tankabanditka [31]

Answer:

20 will be the answer

you've to remove decimal from the sum.

have a great day ahead

plz mark me as brainliest plzz

4 0
3 years ago
Read 2 more answers
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