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3 years ago

What is the distance from P(2, –5) to the line y = –8? a. –6 b. 3 c. 5 d. 10

1 answer:

hjlf3 years ago

7 0

Plotting that point puts us at a y value of -5 (the y coordinate of the point P). y=-8 is a straight horizontal line through y=-8, so the distance from -5 to -8 is 3. Remember that distance is never negative. Distance is measured using the absolute value of the numbers. So b is your choice.

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Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?

saw5 [17]

The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

$(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4$

Evaluate the combination factors.

So, we have:

$(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4$

Evaluate the exponents and the products

$(2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81$

Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

#SPJ1

8 0

1 year ago

What's the volume to this prism?

DIA [1.3K]

Answer:

36 cubic inch

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

$V=whl$

----------------------------------------------------------------------------------------------------------------

So:

6 × 3 × 2 = 36

----------------------------------------------------------------------------------------------------------------

Have a good day :)

8 0

2 years ago

PLEASE HELP <br> ANSWER ASAP

VLD [36.1K]

Question 1: h+4= how many kids in history class.
I think this cause it says to represent the # of kids in the English class with the varible h. there are 4 more kids in the history class for you just add four to the English class( h). this may be wrong tho

question 2: 57+4= 61.

you just input the 57 where the h (# of kids in English class) cause it need to figure out how many are in history and their are just four more kids. I think

also sorry if I suck at explaining things, this makes sorta sense

7 0

2 years ago

School pennants cost $18 each. Ms.Lee says she will pay $146 for 7 pennants. Is her answer reasonable?

crimeas [40]

Well, all we have to do to figure out if Ms. Lee’s offer is reasonable is multiply the unit price ($18) by 7

18 x 7 = 126

Since she offered $146, she could actually purchase 8 pennants for $144

Therefore, her answer wouldn’t be reasonable

Hope this helps you

Brainliest would be appreciated!

-AaronWiseIsBae

3 0

2 years ago

3) John Wayne died of cancer. In 1955, he was in Utah shooting the film The Conqueror. Across the state line, in Nevada, the U.S

-Dominant- [34]

Answer:

20.9 %, it is more than the national population 13.6%.

Step-by-step explanation:

Total number of persons = 220

died number of persons = 46

The percentage of died persons

$\frac{46}{220}\times 100 \\\\= 20.9 %$

So, it is more than the national population of 13.6 %.

6 0

2 years ago