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
sertanlavr [38]
3 years ago
11

What are the solutions to the quadratic equation (5y + 6)2 = 24?

Mathematics
2 answers:
Ivenika [448]3 years ago
7 0

Answer:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

And, those are the solutions to the equation.

Fofino [41]3 years ago
4 0

Answer:

(2sqrt(6) - 6)/5, (-2sqrt(6) - 6)/5

Step-by-step explanation:

(5y + 6)² = 24

5y + 6 = +/- sqrt(24)

5y = +/- 2sqrt(6) - 6

y = (+/- 2sqrt(6) - 6)/5

You might be interested in
Complete the question.
makvit [3.9K]

Answer:

6

Step-by-step explanation:

You are looking for the cross section of ask three circles. This is true for the smallest part, with the number 6 in it.

5 0
3 years ago
David wants to pack 574 cereal bars into bags of 10 and bags of 8 the number of bags of 8 is 2 more than the bags of 10. How man
BabaBlast [244]

Answer: Number of bags of 8. = 33

Number of bags of 10. = 31

Step-by-step explanation:

Let x = Number of bags of 8.

y = Number of bags of 10.

As per given.

8x+10y= 574   (i)

x=y+2 (ii)

Put value of x from (ii) in (i)

8(y+2)+10y= 574\\\\\Rightarrow\ 8y+16+10y=574\\\\\Rightarrow\ 18y=574-16\\\\\Rightarrow\ 18y=558\\\\\Rightarrow\ y=\dfrac{558}{18}\\\\\Rightarrow\ y=18

Put this in (i), x= 31+2=33

Hence,

Number of bags of 8. = 33

Number of bags of 10. = 31

6 0
2 years ago
In a (blank) , one ratio compares a part to a whole
cluponka [151]
I think it is a rate?           

3 0
3 years ago
This is an absolute value problem with LETTERS?! Absolute madness (no pun intended)
MAVERICK [17]

Answer:

a

Step-by-step explanation:

sjejeneissbebdejjesj

8 0
3 years ago
PTG has side lengths of 18 cm, 27 cm, and 13 cm. which type of triangle is PTG? The answer is obtuse.
Verizon [17]
To know what kind of triangle is it. use the pythagorean theorem:
A^2 + B^2 = C^2,
where C is the longest side of the triangle 
if it satisfies the equation then it is a right triangle
if it does not then A^2 + B^2 > C^2 so it is acute triangle
if A^2 + B^2 < C^2 it is obtuse triangle

18^2 + 13^2 ? 27^2
324 + 169 ? 729
493 < 729 so it is obtuse triangle

3 0
3 years ago
Other questions:
  • -7x − 3x + 2 = −8x – 8 .<br><br> SHOW WORK!!!
    13·2 answers
  • Which polynomial is equivalent to this expression if n≠-1n≠-1? 3+n−2n21+n?
    14·2 answers
  • WHAT IS THE DOMAIN OF (F+G) (X) ?
    7·1 answer
  • What is 13/250 in a decimal
    12·1 answer
  • The heights of adult females are normally distributed. If you were to construct a histogram of 40 randomly selected​ women, what
    7·1 answer
  • How do I answer this??
    14·1 answer
  • Write the fractions in order from least to greatest 1/5, 2/3, 5/8
    14·2 answers
  • What value of X guarantees that BC || DE?
    14·1 answer
  • PLEASE I NEED HELP WITH MATH!!!
    6·1 answer
  • Pls help me answer this question i need it asap. This is a good offer :)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!