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3 years ago

Name three collinear points.

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

Answer: l,j,k

Step-by-step explanation:

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18x^2+24x=0 Please solve by factoring.

Harman [31]

Answer:

6x ( 3x +4)

X =0 and x = 4/3 or x = 1 1/3

Step-by-step explanation:

Take the common factors out,

Here x is common to both equation and also 6 is common to both equation

So,

6x ( 3x + 4) = 0

So it can be solved by

X = 0 and x = 4/3

4 0

3 years ago

Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

$2^{k}>k$

3 0

3 years ago

Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile dr

stiv31 [10]

The given question is incomplete. The complete question is:

Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?

Answer: Omar drove the truck for 5.15 miles

Step-by-step explanation:

Base fee = 17.95 $

Additional charge per mile = 98 cents = 0.98 $ ( 100cents = 1$)

Now Omar payed = 22 $

Let the miles he travelled = x

Now , $17.95+0.98\times x=23$

Solvimg for x :

$x=5.15miles$

Thus Omar drove the truck for 5.15 miles

5 0

3 years ago

PLEASE HELP ME SOLVE THESE QUESTIONS<br>IT WOULD BE MUCH APPRECIATED

Ugo [173]

Answer:

1. b.

2. a.

3. b.

4. d.

5. a.

6. b.

7. c.

8. b.

9. b.

10. c.

11. a.

12. b.

13. a.

14. c.

Step-by-step explanation:

7 + 3 = 10

+ 679 - 2056 = -1377

- 398 + 1 = -397

-23 - 237 = 260

2 - 6 = -4

-2 × 3 × -4 = 24

absolute value of -36 = 36

6 + 4 = 10

- 5928 - 965 = -6893

215 × 212 + 212 × 314 = 112148

(15 + 5) ÷ (15 + 5) = 20 ÷ 20 = 1

-457 + 1 = -456

- 218 -1 = -219

6 0

3 years ago

Nancy, Bryan and Jamie combined their money to purchase a laptop. Together, they paid a total of 490 dollars for the laptop, inc

Delicious77 [7]

Answer:

226 dollars

Step-by-step explanation:

Bryan = 176

Jamie = 88

Nancy = 226

7 0

3 years ago