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3 years ago

Find the equation of the line passing through (-7,-9) and perpendicular to 8x-9y +2=0

1 answer:

5 0

8x - 9y + 2 = 0
-9y = -8x - 2
y = 8/9x + 2/9.....the slope here is 8/9. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will need a slope of -9/8 (see how I flipped the slope and changed the sign)

y = mx + b
slope(m) = -9/8
(-7,-9)...x = -7 and y = -9
now we sub and find b, the y int
-9 = (-9/8)(-7) + b
-9 = 63/8 + b
-9 - 63/8 = b
-72/8 - 63/8 = b
-135/8 = b

so ur perpendicular equation is : y = -9/8x - 135/8

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kkurt [141]

Number of votes won by A = p
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Number of votes won by B are 125% of the number of votes won by A. So we can write that 35 is 125% of p. In equation form we can translate it as:

35 = 125% of p
35 = 1.25 x p
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So the number of votes won be A are 28.

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2 years ago

Let's start! Take a look at all of these blocks. You can reach the number 10 by adding the blocks in many different ways. BUT, w

kakasveta [241]

Answer:

the answer is 2. (6 and 4)

Step-by-step explanation:

6 + 4 = 10

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2 years ago

How do I find the product when multiplying with decimals <img src="https://tex.z-dn.net/?f=0.36%20%5Ctimes%202.4" id="TexForm

stellarik [79]

Step 1:

first let us convert the two decimals into fractions.

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$\frac{36}{100}$ × $\frac{24}{10}$

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7 0

3 years ago

2(5m^4n^-1)^3 simplify show work please

dangina [55]

Answer:

$\large\boxed{2(5m^4n^{-1})^3=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}}$

Step-by-step explanation:

$\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\-------------------\\\\2(5m^4n^{-1})^3=2(5)^3(m^4)^3(n^{-1})^3=2(125)m^{3\cdot4}n^{-1\cdot3}=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}$

8 0

3 years ago

teacher gives 5 students a multiple choice test, in which each problem is worth 1 point and there is no penalty with negative po

mamaluj [8]

The mean is the average value of a given set of numbers, and the median is the number in the middle of a set of numbers arranged in increasing order

The correct values as response to the questions are;

The minimum possible top score is 21

The maximum possible top score is 32

The minimum of the possible standard deviation is approximately 1.26

The maximum of the possible standard deviation is approximately 11.7

The reason the above values are correct are as follows:

The given parameters are;

The number of students that take the test, n = 5

The amount of points for each problem = 1 point

The median score = 9

The mean Score = 10

Required:

The minimum possible score;

The maximum possible top score

The minimum of the possible standard deviations

The maximum of the possible standard deviations

Solution:

Given that there is a score (the median) which is 9, we have;

The scores obtainable in the test is Scores ≥ 9

Therefore, for a score of 10, we have;

The minimum total points obtainable = Mean × Number of students

Therefore;

Total minimum total points obtainable by the 5 students = 5 × 10 = 50

The minimum possible top score

By arrangement, with the median at the middle, the minimum possible top score is given as follows;

0, 0, 9, 20, 21

Therefore, the minimum possible top score is 21

The maximum possible top score

The maximum possible top score is similarly given by arrangement of the numbers as follows'

0, 0, 9, 9, 32

The maximum possible top score is 32

The minimum standard deviation

By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ 1.26

The maximum of the possible standard deviation

The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ 11.7

Learn more about mean and median here:

brainly.com/question/17012793

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2 years ago