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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

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What is the range of the function g(x) = –3sec(2x + 4) – 1?
Jet001 [13]

The range of the function g(x) will be (–∞, –4] ∪ [2, ∞). Option C is correct.

<h3>What is the difference between domain and range?</h3>

The domain denotes all potential x values, while the range denotes all possible y values.

When we plot the graph of the given function we will get the maximum and the minimum value till we get the function plot. The difference in the value of those coordinates is the range of the function.

The range of the function g(x) will be (–∞, –4] ∪ [2, ∞).

Hence option C is correct.

To learn more about domain and range, refer to brainly.com/question/1632425.

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3 0
2 years ago
you are in line at an amusement park. You count 34 people in front of you. Each rollercoaster fits 11 people. How many rollercoa
rewona [7]
3 because you are next in line
5 0
4 years ago
Read 2 more answers
The area, A, of a circle is given by A = π r2, where r is the radius of the circle. Round all values to the nearest whole number
Artemon [7]

Answer:

A =363 cm^2

Step-by-step explanation:

A = π r^2

r = 11.3

Rounding to the nearest whole number

r =11

pi = 3.14

Rounding to the nearest whole number

pi = 3

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3 0
3 years ago
Describe fully the single transformation that takes shape p onto shape q
Arturiano [62]

Answer:

The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)

Step-by-step explanation:

The coordinates of the vertices of shape ΔP are;

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The length AB = 3 - 1 = 2

The length CB = 3 - 2 = 1

∴ The length AC = √(2² + 1²) = √5

The coordinates of the vertices of shape ΔQ are;

A'(4, 9), B'(4, 3), C'(7, 3)

The length A'B' = 9 - 3 = 6

The length C'B' = 7 - 3 = 3

∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5

∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3

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The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2

Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)

Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).

5 0
3 years ago
The base of the triangle is 5<img src="https://tex.z-dn.net/?f=%5Csqrt%7B3%7D" id="TexFormula1" title="\sqrt{3}" alt="\sqrt{3}"
Vsevolod [243]

Answer:

yes you are absolutely right

it will be the answer

4 0
3 years ago
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