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
labwork [276]
2 years ago
10

Find the quadratic equation whose roots are -3 and 1​

Mathematics
1 answer:
Dmitrij [34]2 years ago
8 0

Answer:

x²+2x-3=0

According to Vieta's formula:

x²-(Sum of roots)x+(product of roots)=0

Sum of roots=-3+1=-2

Product of roots=-3×1=-3

The equation is x²-(-2)x+(-3)=0

x²+2x-3=0

You might be interested in
HELP!
maxonik [38]

Answer: 3x + 15 = 51

x is the number of laps that she swims on Monday, Wednesday, and Friday. Since she swims the same amount, we can multiply x by three. Since Saturday  gives us an explicit answer, we can just add that to the equation.

Hope this helps :)

4 0
3 years ago
Need Help ASAP!!!!!!!!!!
taurus [48]

Answer:

0.28

Step-by-step explanation:

Of the 17+28+15 = 61 whose highest degree is 2-year, 17 have an urban place of residence. The relative frequency is ...

17/61 ≈ 0.28

8 0
3 years ago
ANSWER FAST ITS URGENT
Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

{x}^{2}  =  {2}^{2}  +  {6}^{2}

{x}^{2}  = 4 + 36

{x}^{2}  = 40

x =  \sqrt{40}

x = 6.3

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

n = 6 \sqrt{2}

The hypotenuse can be found using Pythagoras Theorem.

{m}^{2}  =  {(6 \sqrt{2} )}^{2}  +  {(6 \sqrt{2} )}^{2}

{m}^{2}  = 36(4)

m =  \sqrt{36 \times 4}  = 6 \times 2 = 12

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

n =  \frac{1}{2} (12) = 6

and

m = 6 \sqrt{3}

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

{x}^{2}  +  {115}^{2}  =  {350}^{2}

{x}^{2}  =  {350}^{2}   -  {115}^{2}

{x}^{2}  = 109275

x =  \sqrt{109275}  = 330.6 ft

3 0
3 years ago
A rectangular tank measuring 50 cm x 30 cm x 60 cm was completely filled with water. 1 5 of the water in the tank was transferre
Ierofanga [76]

Answer:

<em>72,000cm³</em>

Step-by-step explanation:

Volume of the rectangular tank = Length *  Width * Height

Given

Length = 50cm

Width = 30cm

Height = 60cm

Get the volume:

Volume = 50*30*60

Volume = 90,000cm³

Hence the volume of the rectangular tank is 90,000cm³.

If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:

Amount transferred = 1/5 * 90,000

Amount transferred = 18000cm³

Amount left in the tank = 90,000 - 18,000

<em>Amount of water left in the tank = 72,000cm³</em>

5 0
2 years ago
Please help and thank you ​
worty [1.4K]
I believe 2 dollars and 50 cents
6 0
3 years ago
Read 2 more answers
Other questions:
  • Since opening night, attendance at play A has increased steadily, while attendance at play B first rose and then fell. Equations
    8·2 answers
  • What is the surface area of the figure ?
    8·2 answers
  • The blank of a number says how many times to use that number ia a multiplication
    14·1 answer
  • How would you solve the area
    11·1 answer
  • Can someone help me???????
    8·1 answer
  • How can you find the measure of one angle in each regular polygon?
    6·1 answer
  • 2ln3+ln(x+1)=0<br> Solve for x
    12·2 answers
  • If 50% is 10 what is 75%​
    12·2 answers
  • I need an answer pslsss
    10·2 answers
  • How many batches of 12 chocolate chip muffins can the Union City Bakery make using one gallon of milk ? Show work and explain yo
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!