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2 years ago

Problem 1

Mathematics

1 answer:

anyanavicka [17]2 years ago

4 0

Answer:

1) both lights will blink at the same time every 20 seconds

2)Both lights will blink at the same time every 36 seconds

3) How to determine when 2 lights will blink together is that you must find the least common factor (LCM) of both numbers and when both hit the same number then that is when both lights blink at the same time.

Step-by-step explanation:

For example for number 1 we have 4 and 5 seconds when the lights blink

4: 4, 8, 12, 16, 20...

5: 5, 10, 15, 20...

we see that the LCM factor is 20 and that is when both lights will hit at the same time.

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1 point

Dimas [21]

Answer:

The simplest radical form is $9\sqrt{5}$ ⇒ (c)

Step-by-step explanation:

To simplify any square root;

Factorize the number under the root using prime numbers

Take out the root any number repeated twice as one number

Examples:

1. Simplify $\sqrt{8}$

factorize 8 using prime numbers

8 = 2 × 2 × 2, then $\sqrt{8}=\sqrt{(2)(2)(2)}$

Take two of 2 out the root, then $\sqrt{8}=2\sqrt{2}$

2. Simplify $\sqrt{18}$

factorize 18 using prime numbers

18 = 2 × 3 × 3, then $\sqrt{18}=\sqrt{(2)(3)(3)}$

Take the two 3 out the root, then $\sqrt{18}=3\sqrt{2}$

Let us simplify $3\sqrt{45}$

∵ 45 = 3 × 3 × 5

∴ $3\sqrt{45}=3\sqrt{(3)(3)(5)}$

→ Take the two 3 out by one 3

∴ $3\sqrt{45}=3(3)\sqrt{5}$

→ Multiply the numbers out the root

∴ $3\sqrt{45}=9\sqrt{5}$

∴ The simplest radical form is $9\sqrt{5}$

8 0

3 years ago

Which expression is not equivalent to 3x – 2?

ANTONII [103]

Answer: B. 2x + 2 + x

Step-by-step explanation:

I took the quiz.

5 0

3 years ago

Read 2 more answers

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

larisa [96]

Answer:

y = - 6x - 57

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, thus

y = - 6x + c ← is the partial equation

To find c substitute (- 9, - 3) into the partial equation

- 3 = 54 + c ⇒ c = - 3 - 54 = - 57

y = - 6x - 57 ← equation of line

4 0

3 years ago

Find the slope of the line The slope is m=

Elza [17]

the slope should be -1/2, hope this helps!

5 0

2 years ago

Is 3/8 greater than 7/12

Gennadij [26K]

Answer:no

Step-by-step explanation:put the two numbers in the same denominator

The least common denominator of 8 and 12 is 24. So to get 8 to 24 you multiply it by 3. So 3(3/8) is 9/24.

To get 12 to 24 you multiply it by 2. So 2(7/12) is 14/24. 9/24 is less than 14/24.

5 0

3 years ago