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2 years ago

What are the solutions of the equation x2 + 5x + 6 = 0? A. −3, 2 B. 6, −1 C. 6, 1 D. −3, −2

Mathematics

1 answer:

natita [175]2 years ago

3 0

Answer:

D. -3,-2

Step-by-step explanation:

Let $x^{2} +5x+6=0=(x+2)(x+3)\\$ , then $x+2=0$ or $x+3=0$ , thus $x=-2$ or $x=-3$

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Musya8 [376]

Answer:

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3 0

3 years ago

Find all values of x in the interval [0, 2π] that satisfy the equation. (enter your answers as a comma-separated list.) 6 sin(2x

anygoal [31]

6 sin 2x = 6 cos x Using the identity sin 2x = 2 sin x cos x:-

12 sin x cos x = 6 cos x

6 cos x ( 2 sin x - 1) = 0

either 6 cos x = 0 or 2 sin x - 1 = 0 so sin x = 1/2

x = pi/2, 3pi/2 , pi/6, 5pi / 6

answer is ( pi/6, pi/2, 5pi/6, 2pi/2)

6 0

3 years ago

Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the c

Archy [21]

Answer:

8 pictures

Step-by-step explanation:

Given

$Window = 5\frac{3}{4}ft$

$Wall = 9.75ft$

$Pictures = 6\ inches$

Required

Determine the number of pictures

First, we need to calculate the length of the available space

This is calculated by subtracting the width of the window from the width of the wall.

$Space = Wall - Window$

$Space = 9.75 - 5\frac{3}{4}$

Convert fraction to decimal

$Space = 9.75 - 5.75$

$Space = 4ft$

Since, the pictures are placed side by side.

This means that, there's no empty space between them.

Number of pictures is:

$Number = \frac{Space}{Pictures}$

$Number = \frac{4\ ft}{6\ in}$

Convert feet to inches

$Number = \frac{4 * 12\ in}{6\ in}$

$Number = \frac{48\ in}{6\ in}$

$Number = \frac{48}{6}$

$Number = 8$

<em>Hence, 8 pictures can fit the wall</em>

7 0

3 years ago

Read 2 more answers

Hue is arranging chairs. She can form 3 rows of a given length with 2 chairs left over, or 9

balu736 [363]

Answer:

Step-by-step explanation:

This is your answer

8 0

3 years ago

HELPPP ASAP PLZ!!!! Will mark you brainliest

mihalych1998 [28]

Answer: B and D

Step-by-step explanation:

A. States that the length of AB is -3. No, it should be 3. So that is incorrect.

B. States that the absolute value of 6-1 is the length of BC. It is 5. That is correct.

C. AB + AC = 3+8 = 11. BC is 5. That is incorrect.

D. AB + BC = AC. 3+5= 8. AC is 8. That is correct.

E. The length is not 6. It is 5. That is incorrect.

Hope that helps!

8 0

3 years ago