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
Zepler [3.9K]
2 years ago
6

Solve 2x2 − 12x + 20 = 0. 3 ± i 3 ± 2i 1 ± 2i 2 ± 3i

Mathematics
1 answer:
makkiz [27]2 years ago
7 0
This is the concept of quadratic equations, solving the equation 2x^2-12x+20=0 using the formula we get:
x=[-b+/-sqrt(b^2-4ac)]/(2a)
from our equation, a=2,b=-12 and c=20
x=[-(-12+/-sqrt((-12)^2-4*2*20)]/(2*2)
x=[12+/-sqrt(144-160]/4
x=[12+/-sqrt(-16)]/4
x=[12+/-4i]/4
x=[3+\-i]
the answer is A] 3+/-i
You might be interested in
Help Please ! Need help on finding the volume of two different shapes that are combined . thanks !
kipiarov [429]
Lwh , 10,6,8
and then look up the formula for the hemisphere, add your answers together and you will have your final answer, ,hope this helps.
4 0
2 years ago
What is the range of 5, 9, 4, 7, 6, 2, 1, 8, 4, 9, 3, 4, 6, 4, 2, 4?<br><br> 2<br> 4<br> 6<br> 8
Svetradugi [14.3K]
Highest #: 9
Lowest #: 1
9-1 = 8
Answer is 8
5 0
3 years ago
Read 2 more answers
Element X decays radioactively with a half life of 6 minutes. If there are 790 grams of Element X, how long, to the nearest tent
frosja888 [35]

Answer:

It takes 27 minutes for the element to decay to 35 grams

Step-by-step explanation:

Given:

Initial amount  =  790 grams

Final amount =  35 grams

Half life =  6 minutes

To find:

Time taken for the element to reduce into 35 grams  = ?

Solutions

Time taken = half life  \times \frac{ log(\frac{ initial amount}{final amount})}{log(2)}

On substituting the values given, Time taken  

= 6 \times \frac{log(\frac{790}{35})}{log(2)}

= 6 \times \frac{log(22.57)}{log(2)}

= 6 \times 4.496

= 26.97

= 27 minutes

7 0
3 years ago
Please solve with explanation
Inga [223]

Answer:

a. Simplify each term. 49/2+0

Add 49/2 and 0.

49/2

The result can be shown in multiple forms.

Exact Form:

49/2

b. Replace the variable a with −13 in the expression.

−(−1/3)²b²−3(−1/3)³b²

Replace the variable b with −1 in the expression.

−(−1/3)²(−1)²−3(−1/3)³(−1)²

Simplify each term. −1/9+1/9 = 0

Combine fractions. 0

Step-by-step explanation:

4 0
3 years ago
Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .
Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become.  If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:


A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)


So, the graph of the dilated triangle is shown in the Figure below

8 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the inequality. |3m – 2| ≥ 1 m ≤ –1 or m ≥ 1
    13·1 answer
  • Last month, Jim ate 4 strawberries. Finn ate 1/8 as many strawberries as Jim did. How many strawberries did Finn eat?
    12·2 answers
  • Pentagon ABCDE is shown on the coordinate plane below:
    11·2 answers
  • Find the perimeter of the rectangle with the following vertices. (−6, −2), (0, −10), (5, 2), (−1, 10) 23 52 46 40
    8·1 answer
  • 11.) Write each ratio as a fraction in simplest form. Then explain its meaning. 1 point
    5·1 answer
  • I'm having trouble in base numbers. What is the base number of 11 to the 3 power
    6·1 answer
  • Help help help help please
    6·2 answers
  • I GIVEEEEE BRAINLILSTTTTT
    7·2 answers
  • Monica earned $60 from a bonus plus $8.50 per hour (h) she worked this week. Which of the following expressions best represents
    13·2 answers
  • The quotient of a number and negative 5 decreased by 9 is 2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!