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swat32
3 years ago
5

Write the equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be

written in slope-intercept form. P (3,-4),x= - 7/8y+3
Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

y = 7x/8 - 53/8

Step-by-step explanation:

P(3,-4)

x = -7y/8 + 3

Isolate y and translate to slope-intercept form:

y = mx + b

x = -7y/8 + 3

x - 3 = -7y/8

8x - 24 = -7y

y = -8x/7 - 24/7

The slope of the equation is -8/7

The slope of the new equation will be perpendicular to the slope of the given equation which means it is the negative reciprocal.

y = mx + b where m = -1/(-8/7) = 7/8

y = 7x/8 + b

Plug in know values and solve for b:

-4 = 7(3)/8 + b = 21/8 + b

-4 - 21/8 = b

b = -32/8 -21/8 = -53/8

Plug in b into the equation:

y = 7x/8 - 53/8

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Alberto’s monthly income is $3,200. Part of Alberto’s monthly budget is shown in the table.
Sladkaya [172]

Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem:

  • Alberto’s monthly income is $3,200, hence b = 3200.
  • He spends 896 + 384 = $1280 in rent and groceries, hence a = 1280.

Then, the percentage is given by:

P = \frac{1280}{3200} \times 100\% = 40\%

More can be learned about the percentage concept at brainly.com/question/10491646

7 0
2 years ago
Find the area of the figure.
Naddika [18.5K]

Answer:

55 sq meters

Step-by-step explanation:

Area of big triangle 7x5=35/2

but there's two big triangle so 35/2 x 2 =35

area of small triangle 5x4=20/2 10

10 x 2 =20. And then combine 20+35=55

So the area is 55 sq meters.

4 0
3 years ago
I need help on this !! Please
pychu [463]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The CEO of a clothing company estimates that 52% of customers will make a purchase. Part A: How many customers should a salesper
4vir4ik [10]

Answer:

(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

Step-by-step explanation:

Let<em> </em>the random variable <em>X</em> be defined as the number of customers the salesperson assists before a customer makes a purchase.

The probability that a customer makes a purchase is, <em>p</em> = 0.52.

The random variable <em>X</em> follows a Geometric distribution since it describes the distribution of the number of trials before the first success.

The probability mass function of <em>X</em> is:

P(X=x)=(1-p)^{x}p

The expected value of a Geometric distribution is:

E(X)=\frac{1-p}{p}

(a)

Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:

E(X)=\frac{1-p}{p}

         =\frac{1-0.52}{0.52}\\=0.9231

This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b)

Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

P(X=3)=(1-0.52)^{3}\times0.52\\=0.110592\times 0.52\\=0.05750784\\\approx 0.058

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

8 0
3 years ago
What is the greatest common factor of 20x6y+40x4y2−10x5y5 ?
mestny [16]
The greatest common factor: 20x^6y 40x^4y^2 10x^5y^5 is 10x^4y.
20x^6y = 10x^4y*2x^2
40x^4y^2 = 10x^4y*4y
10x^5y^5 = 10x^4y*y^4


8 0
3 years ago
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