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
Sophie [7]
3 years ago
10

3. Solve the equation using square roots. If the equation has no real solution, write

Mathematics
1 answer:
noname [10]3 years ago
4 0
3) x² - 121 = 0

x² = 121

x' = +√121

x' = 11

_______________

x'' = - √121

x'' = -11

Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)

4) 4x² + 144 = 0

4x² = -144

x² = -144 / 4

x² = -36

x = √-36

No solution ⇒ S = ∅

5) z²+10z+21 = 0

Δ = 10² - 4(1)(21)

Δ = 100 - 84

Δ = 16

x' = (-10+4) / 2 = -6/2 = -3

x'' = (-10-4) / 2 = -14/2 = -7

Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)
You might be interested in
Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. which equation represents the relationship between t
timama [110]

Answer:

angle 1+angle 2 = 180 degrees

Step-by-step explanation:

when 2 angles are supplementary, they equal 180 degrees when they are added up. Because angles 1 and 2 are supplementary, this means that angle 1 + angle 2 equals 180 degrees.

6 0
2 years ago
What is the median of the following data set -1000, -999, 1998, ..., -1, 0, 1, ..., 998, 999, 1000
qwelly [4]

<u>Answer:</u>

The correct answer option is C. 0.

<u>Step-by-step explanation:</u>

We are given the following data set and we are to find its median value:

- 1 0 0 0 , - 9 9 9 , 1 9 9 8 , ... , -1 , 0 , 1 , ... , 9 9 8 , 9 9 9 , 1 0 0 0

Median is the middle value of a data set which divides it into to halves.

The data set we have starts from -1000 and goes till 1000 which means there are total 2001 elements in it.

Therefore, 0 will the middle value which is the median for this data set.

7 0
3 years ago
Read 2 more answers
The ordered pair R(-2,7) is translated 5 units to the right and down 2 units. which of the following descirbes the translation u
grigory [225]
Choice D is the correct answer.
For translations, moving to the right 5 units means you add 5 to x, and moving down 2 units means you subtract 2 from y. D is the only choice that accurately represents this.

Hope this helps
3 0
2 years ago
Which of the follow if best describes AOR
Natali5045456 [20]

Answer:

C

Step-by-step explanation:

A major arc is an arc that is greater than 180 degrees.

A minor arc is an arc less than 180 degrees.

An acute angle is an angle less than 90 degrees.

A central angle is the angle created in the center of a circle with 2 sides being the radius.

<em>Thus, we can see in the figure that we are talking about the angle so we can eliminate major arc and minor arc.</em>

<em>Now, we clearly see that the angle is greater than 90 degree so it cannot be acute angle.</em>

<em />

The correct answer is central angle as it goes with the definition.

6 0
2 years ago
Calculate the area, with the appropriate number of significant figures, of a rectangular room that is 14.10 m wide by 15.0 m lon
Paladinen [302]
<h3>Answer: Choice A) 212 square meters</h3>

========================================================

Explanation:

14.10 has four sig figs. The 0 at the end is significant. This measurement is accurate to the hundredths place. If the author wrote 14.1, then it would be accurate to the tenths place with three sig figs.

15.0 has three sig figs. The 0 is significant. If they wrote 15 or 15. then we'd be dealing with 2 sig figs instead; however they placed the 0 there to tell the reader "this measurement is accurate to the tenths place"

---------------------

Multiply the values given

14.10*15.0 = 211.5

Round that to three sig figs. We pick the smaller sig fig count to round to since we cannot be certain it is accurate to four sig figs. In a sense, we pick the weakest link and use that to determine rounding when it comes to multiplication and division.

This means 211.5 rounds to 212

6 0
3 years ago
Other questions:
  • How would a bigger down payment be beneficial to borrowers?
    11·2 answers
  • Given that Annie chooses a red shirt at random, what is the probability that the shirt will be large? Use the formula P(A | B)=
    7·1 answer
  • Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A' is at
    6·2 answers
  • Help fill out the proof
    12·1 answer
  • Pls help me!!!!!!!!!!!!!
    15·1 answer
  • Can anyone help with this asap?<br>8x² + 26xy + 15y²​
    6·1 answer
  • Which event below is
    7·1 answer
  • Please Help i need this done
    13·1 answer
  • What is the vertical asymptote
    15·1 answer
  • What property does the following expression demonstrate? 9(3x) = (9x3)x
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!