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anastassius [24]
3 years ago
15

1" title=" \sqrt{x + 3} = \sqrt{5x + 6} - 3" alt=" \sqrt{x + 3} = \sqrt{5x + 6} - 3" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Veronika [31]3 years ago
5 0
The solution of your problem is shown on the picture below.

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Explain how you can use absolute value to tell whether
kicyunya [14]

Answer:

Let the integers are p and q.

In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.

<u>Examples:</u>

  • 10 + 88 = 98
  • -20 + (-15) = -35

In case one of the integers is negative and one positive.

  • p < 0, q > 0

Use absolute value in this case.

Subtract the numbers and apply the sign of the number with the greater absolute value.

<u>Examples:</u>

  • - 10 + 15 = |15 - 10| = |5| = 5
  • - 15 + 10 = - |15 - 10| = - |5| = -5
3 0
3 years ago
2root 3 x 3 root 8 fully simplified
LuckyWell [14K]

Answer:

  • 12\sqrt{6}

Step-by-step explanation:

<h3>Given expression</h3>

  • 2 \sqrt{3} *3\sqrt{8}

<h3>Simplify the expression in steps as below</h3>

  • 2 \sqrt{3} *3\sqrt{8}  =
  • 2 \sqrt{3} *3\sqrt{2^2*2} =
  • 2 \sqrt{3} *3*2\sqrt{2} =
  • 2*6* \sqrt{3} *\sqrt{2} =
  • 12* \sqrt{3*2}  =
  • 12\sqrt{6}

Used properties in solution process:

  • \sqrt{a^2} =a
  • \sqrt{a}\sqrt{b}  =\sqrt{ab}
8 0
2 years ago
If you were teaching a foreign visitor about checking and savings accounts at banks and credit unions in the USA, which item bel
ss7ja [257]
Answer: D. No automatic fees charged to the account. 

If I had the chance to teach a foreigner regarding checking and savings account at the banks in the United States, I would remind him/her of this important note. There are no automatic fees charged to the account therefore, consumers cannot protect their rights. 

3 0
3 years ago
Read 2 more answers
Please assist me with #5, 6, 7, 8​
Leona [35]

Answer:

5a. -0.4 m/s²

5b. 290 m

6. 12.9 s

7. 100 s

8. 17.2 km/hr

Step-by-step explanation:

5. "While approaching a police officer parked in the median, you accelerate uniformly from 31 m/s to 27 m/s in a time of 10 s.

a. What is your acceleration?

b. How far do you travel in that time?"

Given:

v₀ = 31 m/s

v = 27 m/s

t = 10 s

Find: a and Δx

v = at + v₀

(27 m/s) = a (10 s) + (31 m/s)

a = -0.4 m/s²

Δx = ½ (v + v₀) t

Δx = ½ (27 m/s + 31 m/s) (10 s)

Δx = 290 m

6. "If a pronghorn antelope accelerates from rest in a straight line with a constant acceleration of 1.7 m/s², how long does it take for the antelope to reach a speed of 22 m/s?"

Given:

v₀ = 0 m/s

v = 22 m/s

a = 1.7 m/s²

Find: t

v = at + v₀

(22 m/s) = (1.7 m/s²) t + (0 m/s)

t = 12.9 s

7. "A 1200 kg airplane starts from rest and moves forward with a constant acceleration of 5 m/s² along a runway that is 250 m long. How long does it take the plane to travel the 250 m?"

Given:

v₀ = 0 m/s

a = 5 m/s²

Δx = 250 m

Find: t

Δx = v₀ t + ½ at²

(250 m) = (0 m/s) t + ½ (5 m/s²) t²

t = 100 s

8. "During a marathon, a runner runs the first 10 km in 0.58 hours, the next 10 km in 0.54 hours and the last 10 km in 0.62 hours.  What is the average speed of the runner during that marathon?"

This isn't a constant acceleration problem, so there's no need for a chart.

Average speed = total distance / total time

v = (10 km + 10 km + 10 km) / (0.58 hr + 0.54 hr + 0.62 hr)

v = 30 km / 1.74 hr

v = 17.2 km/hr

3 0
3 years ago
Find the 10th term of the geometric sequence show below
andrey2020 [161]

Answer:

-19,6830x^26

Step-by-step explanation:

The nth term of a geometric sequence is expressed as;

Tn -= ar^n-1

a is the first term

is the number of terms

r is the common ratio

Given

a = -10x^8

r = 30x^10/-10x^8 = -3x^2

n = 10

Substitute

a10 =  (-10x^8)(-3x^2)^10-1

a10 =  (-10x^8)(-3x^2)^9

a10 =  -10x^8)(19,683)x^18

a10 = -19,6830x^26

Hence the tenth term is -19,6830x^26

4 0
3 years ago
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