1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
All smart people help me...​
8090 [49]

Answer:

4x+5x=180

It's D

7 0
2 years ago
Read 2 more answers
A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After pl
sammy [17]

The length of the guy's wire to the nearest foot is 89 feet.

The situation forms a right-angled triangle.

<h3>Properties of a right angle triangle:</h3>
  • A right-angle triangle has one angle of 90 degrees.
  • The sides can be found using the Pythagoras theorem.
  • The angles can be found using trigonometric ratios.

The hypotenuse of the triangle is the length of the wire.

let's use the smaller triangle to find the angle opposite the tower. Therefore,

tan ∅ = opposite / adjacent

tan ∅ =  5 / 2

∅ = tan⁻¹ 2.5

∅ = 68.1985905136

∅ = 68.20°

Therefore,

cos 68.20 = adjacent / hypotenuse

cos 68.20 = 33 / hypotenuse

hypotenuse = 33 / cos 68.20

hypotenuse = 88.8606843161

Therefore,

length of wire ≈ 89 feet.

learn more on triangles here; brainly.com/question/25762788?referrer=searchResults

4 0
2 years ago
Please I need this too NOww PLEASE ASAP
FromTheMoon [43]

Answer:

∠ ABC = 53.5°

Step-by-step explanation:

The inscribed angle ABC is half the measure of the intercepted arc AC

∠ ABC = \frac{1}{2} × 107° = 53.5°

5 0
3 years ago
Abby is not a morning person and needs to plan on what time to wake up for a morning class. She
MArishka [77]

Answer:

OF COURSE SHE ISNT A MORNING PERSON. Anyway....

8:45-25 minutes is 8:20. -30 minutes from that, and you get 7:50. PRESUMING she wants to get to class the SECOND the bell rings, she should leave at 7:50!

:))

7 0
1 year ago
Which polygon appears to be regular? Figure A Figure B Figure C Figure D Figure A is a hexagon with varying lengths. Figure B is
Naya [18.7K]
Not A because regular means all sides are equal.
B has to be the answer because the others are not.
Not C because a right triangle is not regular, i.e. and equilateral triangle.
Not D because a rectangle has different side lengths.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Help please and thank
    12·2 answers
  • What is x and y if x+3=y
    6·1 answer
  • What is the slope of this line?<br><br> A. 3<br> B. -1/3<br> C. -3<br> D. -2<br> E. 4
    7·2 answers
  • You by six notebooks and a backpack. The cost of the backpack is $17.90. You pay 6 dollars in sales tax. Your total bill is $30.
    14·1 answer
  • How many integers between 27 and 53 have a remainder of 4 divided by 6
    6·1 answer
  • A restaurant chain with multiple branches would like to measure the effectiveness of a customer skills training program for its
    9·1 answer
  • 5th grade math. Correct answer will be marked brainliest
    9·1 answer
  • CAN YOU READ THIS AND IF YOU CAN HELP ME!!!!! THIS CRAZY ONCE AGAINNNN I NEEDDDD PROFESSIONALLLL!!!!!!!!!!!!!
    14·1 answer
  • Round 8.96278650872 to the nearest millionth
    10·1 answer
  • You have a standard deck of 52 playing cards. you draw 2 cards without replacement. which action, performed before the draws, in
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!