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Pie
3 years ago
12

Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).

Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

A. y=1/3x+1

Step-by-step explanation:

When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

3=1/3*6+b

3=2+b

1=b

now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1

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0.5x -2 = 1.5x + 0.15
frutty [35]

Answer: x=−2.15

Step-by-step explanation : Alright Let's solve your equation step-by-step.

0.5x−2=1.5x+0.15

Step 1: Subtract 1.5x from both sides.

0.5x−2−1.5x=1.5x+0.15−1.5x

−x−2=0.15

Step 2: Add 2 to both sides.

−x−2+2=0.15+2

−x=2.15

Step 3: Divide both sides by -1.

−x

−1

=

2.15

−1

x=−2.15<em>        hope this helped!- Alex</em><u> </u>

8 0
3 years ago
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She has
Oxana [17]

Answer:

864

Step-by-step explanation:

Volume of cup = ⅓pi×r²×h

Diameter = 2, radius = 1

= ⅓×3.142 × 1² × 4 = 4.1893333333 in³

To empty the sink, 864 scoops will be required

(3617/4.1893333 = 863.383)

3 0
3 years ago
72 is 45% of what number? Please give me a explanation with the answer asap
Juliette [100K]

Answer:

160

Step-by-step explanation:

72/45 = 1.6

1.6 * 45 = 72

Background information

160/100 = 1.6 (100 for percents)

160 fits the answer so it is right

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

5 0
2 years ago
For which equation would x = 0 be a solution?
Vesna [10]

Answer:

x/9.074

Step-by-step explanation:

this is the equation that gives the correct answer

0/9.074=0

6 0
3 years ago
data set A is {30, 45, 32, 50, 33, 40, 44, 32}. Data set B is {28, 43, 30, 48, 35, 42, 46, 34}. which statement best compares th
3241004551 [841]

Answer:

the mean in set B is equal to the mean in set A (option C)

Question:

The question is incomplete as the answer choices were not given.Let's consider the following question:

Data set A is {30, 45, 32, 50, 33, 40, 44, 32}. Data set B is {28, 43, 30, 48, 35, 42, 46, 34}. which statement best compares the two data sets?

a) median for set A is equal to the median for set B

b) Range for set A is greater than range for set B 

c) The mean in set B is equal to the mean in set A

Step by step explanation:

We can describe a data set using four ways:

Center, spread, shape and unusual features.

Let's consider the center and spread.

Center: This is the median of the distribution.

Spread: This is the variation of the data set. If the range is wide, the spread is larger and If the range is small, the spread is smaller.

Rearranging the data set:

A = {30, 32, 32, 33, 40, 44, 45, 50}

B = {28, 30, 34, 35, 42, 43, 46, 48}

From the data:

The median for set A = (33+40)/2 = 73/2= 36.5

The median for set B = (35+42)/2 = 77/2= 38.5

Range = highest value - lowest value

The data ranges from 30 to 50 (range = 20) for A 

The data ranges from  28 to 48 (range = 20) for B

Mean for set A = (30+32+32+33+40+4445+50)/8 = 306/8 = 38.25

Mean for set B = (28+30+34+35+42+43+46+48)/8= 306/8 = 38.25

In both data set the mean is equal to 38.25.

Therefore the statement that best compares the two data sets is the mean in set B is equal to the mean in set A (C)

8 0
3 years ago
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