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2 years ago

Find the equation of the line through point (8, -9) and perpendicular to 3x +8y =4

Mathematics

1 answer:

deff fn [24]2 years ago

4 0

Answer:

y = 8/3x - 91/3

*view attached graph*

Step-by-step explanation:

3x +8y =4

-3x -3x

8y = -3x + 4

/8 /8

y = -3/8x + 1/2

Perpendicular lines have reciprocal slopes. So, the slope of -3/8 will now be 8/3

y = mx + b

y = 8/3x + b

-9 = 8/3(8) + b

-9 = 64/3 + b

3(-9 = 64/3 + b)

-27 = 64 + 3b

-64 -64

-91 = 3b

/3 /3

-91/3 = b

y = 8/3x - 91/3

Check your answer using (8, -9):

y = 8/3x - 91/3

-9 = 8/3(8) - 91/3

-9 = 64/3 - 91/3

-9 = -27/3

-9 = -9

This statement is true.

Hope this helps!

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Does either item below contradict the statement: "The sum of two rational

valina [46]

Answer:

I think it's b

Step-by-step explanation:

5 0

3 years ago

An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create

horrorfan [7]

Hi there!

The formula for the area of a kite is A = 1/2(d1 * d2). The diagonals on your kite are 20 inches and 19 inches. Let's plug those numbers into the formula: A = 1/2(20*19). First, multiply inside of the parenthesis: A = 1/2(380). Lastly, divide 380 by 2: A = 190in^2.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

5 0

3 years ago

Read 2 more answers

Please help. I got the 12 part can’t can’t seem to simplify the fraction bit.

Sati [7]

<h3>Answer: D) 12 & 3/8</h3>

Whole part = 12

Fractional part = 3/8

==============================================

Explanation:

For now, let's just focus on the fractional parts of each mixed number.

We have these fractions:

1/4
4/16
3/8
1/2

The 4/16 reduces to 1/4, so 4/16 = 1/4

So in reality, we have these fractional parts.

It's not a typo that I'm listing "1/4" twice.

The next step is to get everything to have the same denominator. That denominator is 8 (aka the LCD)

1/4 = 2/8
1/4 = 2/8
3/8 = 3/8
1/2 = 4/8

Adding those new fractions gets us:

(2/8)+(2/8)+(3/8)+(4/8) = (2+2+3+4)/8 = 11/8

Rewrite that as a mixed number

11/8 = (8+3)/8

11/8 = (8/8) + (3/8)

11/8 = 1 + 3/8

11/8 = 1 & 3/8

We get the result 1 & 3/8, where 1 is the whole part and 3/8 is the fractional part.

Keep in mind that all we've done so far is add up the fractional parts. We were ignoring the whole parts from each original mixed number.

If we add the whole parts (3,2,1,5) we get 3+2+1+5 = 11, which adds onto the previous whole part of 1 to get 12. So that's where the 12 comes from.

The fractional part 3/8 comes along for the ride to get 12 & 3/8 as the final answer, which is choice D.

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

An alternative route you can take is to convert each original mixed number into an improper fraction, then add those improper fractions (don't forget to get the LCD), and lastly convert the result to a mixed number.

5 0

3 years ago

X^2+y^2=1 yes or no relation represents a function or not

sleet_krkn [62]

We are asked to decide if the expression:

x^2 + y^2 = 1 represents a function.

We recall that in order to have a function, we need for a given value of x to have a SINGLE value of y associated with it.

So in this case, when x is 0 for example, we have the following:

0^2 + y^2 = 1

then y^2 = 1

and we realize that there are TWO values of y whose square form gives 1 (one is 1 and the other -1) Therefore, this relationship is NOT a function, since for example when x = 0 there are TWO values of y to which that x is associated (y = 1 and y = -1).

So please select that this is NOT a function for your answer.

6 0

1 year ago

Write 8 is the whole number 11 is the <br>numerator and 20 is the denominator

PilotLPTM [1.2K]

Answer:

Fraction: 8 $\frac{11}{20}$

Decimal: 8.55

Step-by-step explanation:

8 11/20 is the answer because:

1) Since 8 is the whole number, 8 wouldn't be part of the fraction

2) The numerator is the top number in the fraction, so 11 is at the top since 11 is the numerator

3) The denominator is the bottom number in the fraction, so 20 is at the top since 20 is the denominator

8.55 is the answer because:

1) Since 8 is the whole number, 8 would be in front of the decimal point

2) When you multiply the fractions, you have to multiply until you get a hundred. Therefore, 20*5 = 100 and 11*5 = 55

Hope this helps!

7 0

3 years ago