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
zvonat [6]
3 years ago
13

How many real solutions does x²+8x+20=0 have?​

Mathematics
1 answer:
garri49 [273]3 years ago
7 0

Answer:

No real solutions

Step-by-step explanation:

Use the discriminant formula, D = b² - 4ac

D = b² - 4ac

Plug in b, a, and c:

D = b² - 4ac

D = (8)² - 4(1)(20)

D = 64 - 80

D = -16

Since the discriminant is negative, there are no real solutions

You might be interested in
25. The perimeter of a rectangle is equal to twice the sum of its length and its width. One
AlexFokin [52]

Answer:

The equation that can be used to find the width is 2(13 + w) = 42

The width of the rectangle is 8 inches

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(l + w), where l is its length and w is its width

∵ One  rectangle has a length of 13 inches

∴ l = 13 inches

∵ Its perimeter is 42 inches

∴ P = 42 inches

- Substitute the values of l and P in the formula of the perimeter

∵ 42 = 2(13 + w)

The equation that can be used to find the width is 2(13 + w) = 42

To find W divide both sides by 2

∴ 21 = 13 + w

- Subtract 13 from both sides

∴ 8 = w

The width of the rectangle is 8 inches

7 0
3 years ago
Simplify the expression i⁸²
Elza [17]

Answer:

We can use a trick here. Let's look at the first few exponents of i to realize this:

i^0 = 1

i^1 = i

i^2= -1

i^3 = -i

i^4 = 1

i^5 = i

i^6 = -1

i^7 = -i

we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.

Step-by-step explanation:

6 0
3 years ago
Solve the following systems of equations.<br> 2^(2x+y−1) = 32<br> 4^(x−2y) = 2
Rina8888 [55]

Answer:(x,y)=(2.5,1)

Step-by-step explanation:

Given

2^{2x+y-1}=32

2^{2x+y-1}=2^5

thus on comparing  

2x+y=6------1

4^{x-2y}=2

2^{2(x-2y)}=2

On comparing exponent of 2

x-2y=\frac{1}{2} ------2

we get x=2.5

substitute x in 1

y=1

(x,y)=(2.5,1)

6 0
3 years ago
A Circle has a diameter of 9 cm. Find the Circumference. Give a Simplified Exact answer. Enter pi with answer. For example 4pi
lutik1710 [3]
Circumference = Diameter * \pi

So 9\pi is the answer
3 0
3 years ago
Read 2 more answers
Two sides of a right triangle measure 2 units and 4 units.
wel

Answer:

20

Step-by-step explanation:

using pythagorean theorem to find the hypotenuse gives √20, so the measure of the side of the square is also √20, square that to give the area of square, which is 20

4 0
3 years ago
Other questions:
  • Tito solved this equation. 2(3x+5)=22+5x-3x.
    7·2 answers
  • Help, I’m a bit confused, what would the coordinates be. The question is in the picture!!!!!
    5·1 answer
  • The poll found that 38% of a random sample of 1012 American adults said they believe in ghosts. What is the lower bound for a 90
    6·1 answer
  • Write a exponential function for the two points (0,2) (2,18) y=ab^x
    8·1 answer
  • I can't figure out how to do this problem.
    11·2 answers
  • 11. Find a pattern in the tile designs. If the pattern
    12·1 answer
  • Joy’s garden produced 447 green beans. Sammy’s garden produced 392 green beans. About how many green beans did Joy and Sammy’s g
    7·2 answers
  • F(x)=2x-1 if f(12)??​
    11·2 answers
  • If the scale factor is 1:5 and OG = 45, find AR.
    14·1 answer
  • What is 35 divided by 97.3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!