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
padilas [110]
3 years ago
13

What is the product of the 2 solutions of the equation x^2+3x-21=0

Mathematics
1 answer:
Advocard [28]3 years ago
3 0
X²+3x-21=0

1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2

2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21

Answer: the product of the 2 solutions of this equation is -21
You might be interested in
Least to greatest 0.4, 5/8, 74%, 3/5
SashulF [63]

Answer:

0.4,3/5,5/8,74%

Step-by-step explanation:

Change them all into decimals.

Get 0.4,0.625,0.74,0.6

Then reorder and see what their original values were

5 0
3 years ago
The area of a square is given by x?, where x is the length
Rudik [331]

Answer:

Step-by-step explanation:

If she doubles the area of her lot, it should be 2x^2.

But how do you get that?

The answer is that the sides have now increased to √2x

How did I get that, and why did I choose it?

  • The formula for a square's area is s^2
  • If you want to double the area, it will be 2 s^2.  Now what?
  • Take the square root of 2s^2 which is √(2s^2).
  • What that means is the side is now √2 s

6 0
3 years ago
What is 3.47 x 10^-6 times 4.61 x 10^7 equals? And what is 3.47 x 10^-6 over 4.61 x 10^7 in scientific notation. Also what is 5.
zzz [600]
1st 159.967 2nd 7.52711×10^-14 3rd 1.59078×10^13
8 0
3 years ago
Read 2 more answers
HEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLllllppppppppppppppp
Lorico [155]

The equation that can be used to determine the measure of ∠A is tanA = 9.4/6.7. The correct option is A. tanA=9.4/6.7

<h3>Trigonometry</h3>

From the question, we are to determine which of the given equations can be used to determine the measure of ∠A

In the diagram,

If ∠A is the included angle

Then,

Using<em> SOH CAH TOA</em>

Opposite = 9.4

Adjacent = 6.7

Thus,

tanA = 9.4/6.7

Hence, the equation that can be used to determine the measure of ∠A is tanA = 9.4/6.7. The correct option is A. tanA=9.4/6.7

Learn more on Trigonometry here: brainly.com/question/2673715

#SPJ1

3 0
2 years ago
The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo
andrew11 [14]

Answer:

<em>24 children</em>

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

y  \alpha \frac{1}{x}\\y =\frac{k}{x}

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>

<em></em>

5 0
3 years ago
Other questions:
  • What is the area of a rectangle whose length is 78 feet and width is 26 feet?
    10·1 answer
  • An angle measures 14.8° less than the measure of its complementary angle. What is the measure of each angle?
    13·1 answer
  • How to solve x, for both questions please?
    8·1 answer
  • Tell whether the pair of polygons is similar. Explain why or why not.
    8·2 answers
  • HELP ME OR ELSE<br><br><br><br><br><br><br><br><br><br><br><br><br><br><br>STUFF HAPPENS
    7·2 answers
  • The sum of two numbers is 99, and one of them is 17 more than the other. What are
    5·2 answers
  • What is the ratio of a nickel to one dollar, reduces to simplest form?
    9·2 answers
  • Jennifer deposited $10,000 in the account that earns compound interest. The annual interest rate is 8%, and the interest is comp
    14·1 answer
  • Pleaseee help no need to explain!
    10·1 answer
  • A certain test is designed to measure the satisfaction of an individual with his/her relationship. Suppose that the scores on th
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!