3 years ago

Determine the distance between (-3,1) and y=3x+1

1 answer:

4 0

First, plot y=3x+1, which is (1,4)
Then, use the distance formula
The answer: is the square root of 25, so simplified to 5

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Use the binomial theorem to show that 7^n + 2 is divisible by 3, where n is a positive integer.

masha68 [24]

By the binomial theorem,

$7^n=(6+1)^n=6^n+n6^{n-1}+\dbinom n26^{n-2}+\cdots+\dbinom n{n-2}6^2+n6^1+1$

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.

7 0

3 years ago

Water has a freezing point of 32 degrees. Murcury has a freezing point that is 70 degrees lower. What is the freezing point of m

Mekhanik [1.2K]

Answer:

-38 degrees

Step-by-step explanation:

32-70

= -38

8 0

3 years ago

******ANSWER ASAP PLEASE******

Lemur [1.5K]

(1/4)^-2 - (5^0 x 2) x 1^-1 =

(4/1)^2 - (1 x 2) x 1 = 16-2 = 14

If you raise something to the power of -2, swap numerator and denominator and remove the minus.

So (1/4)^-2 = 4^2 = 16

Also 1^-1 is just 1, not -1.

8 0

3 years ago

3 + (-3)^2 - (9 +7)^0

MatroZZZ [7]

Answer:

Step-by-step explanation:

3+(−3)^2−(9+7)^0

=3+9−(9+7)^0

=12−(9+7)^0

=12−16^0

=12−1

=11

any number to the power of 0 is ALWAYS 1

3 0

3 years ago

Read 2 more answers

#4 Find the area of the figure below

hram777 [196]

Answer:

Im pretty sure the answer is 327.96

Step-by-step explanation:

8 0

3 years ago