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siniylev [52]
3 years ago
8

Help will mark brainliest

Mathematics
1 answer:
yan [13]3 years ago
7 0

9514 1404 393

Answer:

  y = 2/3x -20/3

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:

  -1/(-3/2) = 2/3

You can use the point-slope form to write the equation of that perpendicular line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line

__

This can be put into slope-intercept form by solving for y and simplifying.

  y +2 = 2/3x -14/3

  y = 2/3x -20/3

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Помогите, пожалуйста
Cerrena [4.2K]

1.

6 - 2х² = 6 - 2(-8)² = 6 - 2(64) = 6 - 128 = -122

2.

\displaystyle\tt a^{11}\cdot a^{14}=a^{11+14}=a^{25}\\\\a^{18}:a^{14}=a^{18-14}=a^4\\\\(a^5)^4=a^{5\cdot4}=a^{20}\\\\(5x)^4=5^4\cdot x^4=625x^4\\\\\bigg(\frac{a}{3}\bigg)^6=\frac{a^6}{3^6}=\frac{a^6}{729}

3.

\displaystyle\tt \frac{14^{16}\cdot14^{6}}{14^{21}}=14^{16+6-21}=14^1=14\\\\\\ \frac{7^{8}\cdot7^{5}}{7^{11}}=7^{8+5-11}=7^2=49\\\\\\ (12^2-11^2)^2+(6^5+2^9)^0=(144-121)^2+1=23^2+1=529+1=530

4.

\displaystyle\tt 3^{8x}=81\\\\3^{8x}=3^4\\\\8x=4\\\\x=\frac{4}{8}=\frac{1}{2}=0.5

5.

\displaystyle\tt \frac{64^{6}}{4^{4}\cdot4^{16}}=\frac{(4^3)^{6}}{4^{4+16}}=\frac{4^{3\cdot6}}{4^{20}}=\frac{4^{18}}{4^{20}}=\frac{1}{4^{2}}=\frac{1}{16}

5 0
4 years ago
3 adults go on a trip with 39 sixth grade students. What is the ratio of adults to students?
ahrayia [7]
The answer is 1:13 you have to divide
5 0
3 years ago
Suppose a sample of 1537 Americans over 46 is drawn. Of these people, 1245 don't smoke. Using the data, estimate the proportion
Dmitry_Shevchenko [17]

Answer:

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

\hat p = \frac{X}{n}

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

\hat p = \frac{292}{1537}= 0.190

Step-by-step explanation:

For this case we deine the parameter of interest p as the proportion of Americans over 46 who smoke.

We know the following info provided:

1245 people don't smoke

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

\hat p = \frac{X}{n}

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

\hat p = \frac{292}{1537}= 0.190

3 0
3 years ago
FOCUS ON HIGHER ORDER THINKING Work Area Katie said, "Negative numbers are integers." What was Explain the Error her error?
Sav [38]

Step-by-step explanation:

Consider the provided information.

Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2,...

Rational number: A number   is said to be rational, if it is in the form   of p/q. Where p and q are integer and   denominator is not equal to 0.The decimal expansion of rational numbers may terminate or become periodic.

Irrational   number: A number is irrational if it cannot   be expressed be expressed by dividing two   integers. The decimal expansion of   Irrational numbers are neither terminate nor   periodic.

Now consider the provided statement "Negative numbers are integers."

The statement is incorrect as all negative numbers are not integers they might be rational number or irrational numbers.

For example: -2.5 is a negative number but it is not an integer. The number is a rational number.

Hence, her statement is incorrect.

She can say that all negative whole numbers are integers.

6 0
3 years ago
The average of six numbers is 22. The numbers are 20,17,18,24,29 and x. Find x
raketka [301]
The answer is 24. Because there are 6 number in the set (including x) the product of the avg. (22) and the amount of numbers (6) should equal what the total of the sum of number, so you should end up with an equation like this: x+20+17+18+24+29=132. If you combine the like terms you get: x+108=132. Subtract 132 from both sides to make the equation equal to x and you get x=24
8 0
3 years ago
Read 2 more answers
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