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2 years ago

Line a passes through points (6, 10) and (1, 1). Line b is perpendicular to a. What is the slope of line b?

Mathematics

2 answers:

Vlad1618 [11]2 years ago

3 0

Answer:

-5/9

Step-by-step explanation:

Slope of line a is,

m = (1-10) / (1-6)

= (-9) / (-5)

= 9/5

Slope of line b is -1/m

-1/m = -1 / (9/5) = -5/9

lesantik [10]2 years ago

3 0

Answer:

Slope of line b: -5/9

Step-by-step explanation:

(6,10) and (1,1)

m = (10-1)/(6-1)

m = 9/5

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Find the distance between the two points rounding to the nearest tenth (if necessary).

Genrish500 [490]

Answer:

13 units

Step-by-step explanation:

(-1,5) and (4, -7)

To find the distance of two points, we use the distance formula:

$d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }$

Let's plug in what we know.

$d = \sqrt{(4 - (-1))^2 + (-7 - 5)^2 }$

Evaluate the double negative.

$d = \sqrt{(4 +1))^2 + (-7 - 5)^2 }$

Evaluate the parentheses.

$d = \sqrt{(5)^2 + (-12)^2 }$

Evaluate the exponents.

$d = \sqrt{(25) + (144) }$

Add.

$d = \sqrt{(169) }$

Evaluate the square root.

$d = 13$

13 units

Hope this helps!

4 0

2 years ago

Read 2 more answers

Suppose f(x) is a function such that for some positive integer n, f has n linearly dependent derivatives. In other words, if f(x

Anon25 [30]

Answer:

See explaination for the prove of the statement.

Step-by-step explanation:

To establish this prove, lets refer back to what we already know.

We know that "If the set of reactions {d1,d2,d3,......dn} in a vector space V over a field f be linearly dependent, then atleast one of the vectors of the set can be expressed as a linear combination of the remaining others.

Please kindly go to attachment for a detailed step by step explaination of the prove.

6 0

3 years ago

The set of order pairs (-1, 8), (0,3) (1,2) and (2, -7) represent a function. What is the range of the function?

goldfiish [28.3K]

Answer: The range is the set {8, 3, 2, -7} which can be sorted to get {-7, 2, 3, 8}

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Explanation:

The range is simply the set of possible y values. All you have to do is list all the y coordinates and surround the values in curly braces. The curly braces indicate a set. Every point is of the form (x,y). The y coordinate is the second value listed of each ordered pair.

8 0

3 years ago

What is the volume of the following rectangular prism?

NNADVOKAT [17]

Answer:

1/10 units^3

Step-by-step explanation:

V=(Area of base)(height)

= 3/20 times 2/3

= 6/60

(simplified)= 1/10

8 0