Find the measure of the angle below

Which of the following points lies on the line perpendicular to

sergij07 [2.7K]

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

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ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

6 0

3 years ago

Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.

julsineya [31]

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

$f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}$

Now, we distribute the expression of f(x) and find the derivative afterwards.

$f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0

3 years ago

If you use 104 kiloliters of water per year, approximately how many liters of water do you use in a day?

tatiyna

Answer:

0.28 liters

Step-by-step explanation:

104÷365=0.28

5 0

2 years ago

Read 2 more answers

Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%

storchak [24]

Jane must therefore deposit her savings in the four rivers bank.

<h3>What is compound interest?</h3>

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the data provided in the question,

Rate, r = 12%

After five years, the total amount, if Jane had saved at Mystic Bank,if Jane had saved at Mystic Bank would be:

$A = P(1+\frac{r}{100} )^n$

For compounded quarterly,

n = 5 × 4

n = 20

A = 40000(1 + 12/(4 × 100))²⁰

A = 72244.44 (i)

If Jane placed her savings with the Four Rivers, then,

A = 40000(1 + 14/(2 × 100))¹⁰

A = 40000 × 1.9671

A = 78686.054 (ii)

Therefore, it is evident that case (ii) is higher than case (i). Jane must therefore deposit her savings in the four rivers bank.

To know more about Compound Interest:

brainly.com/question/29335425

#SPJ1

6 0

1 year ago

Help me with number 1 I don't get it

IgorLugansk [536]

The answer will be 250 because you divide 2 by 500

8 0

2 years ago

Read 2 more answers