Two vertices of a right triangle have the coordinates (−2, 5) and (9, 5) .

Mathematics

1 answer:

Dvinal [7]2 years ago

7 0

Answer:

Length = √(y2-y1)² + (x2-x1)²

l = √(5 - 5)² + (9 + 2)²

l = √0² + 11²

l = √121

l = 11

In short, Your Answer would be 11 units

Hope this helps!

Step-by-step explanation:

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1)The table below represents a linear function f(x) and the equation represents a function g(x):

irga5000 [103]

<span>1)The table below represents a linear function f(x) and the equation represents a function g(x):

x     y
-1 -11
0   -1
1    9

g(x) = 5x + 1

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

slope of the data of the table:

slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10

Also Δy / Δx = [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10

the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.

Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.

Part B: Which function has a greater y-intercept? Justify your answer.

The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.

The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.

So, both functions have equal y-intercept.

2)The table below shows the values of y for each value of x:

x y
1 0
1 -1
2 1
2 -2

Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points)

No, it is not a function, because the relation is ambiguous: the x-coordinate 1 may have two differente values, and the x-coordinate 2 may have two different. So you cannot determine the images of x = 1 and x = 2.

Part B: The function f(x) shown below represents the number of baskets Jess made at different distances, x, in meters, from the hoop:

f(x) = -x + 6

Calculate and interpret the meaning of f(4). (4 points)

f(4) = - 4 + 6 = 2

It means that Jess made 2 baskets at the distant of 4 meters.

Part C: Write an ordered pair to represent the input and output of the function in Part B when Jess is at a distance of p meters from the hoop. (2 points)

input, p         output, f(p)

6           -6 + 6 = 0

So the ordered pair is (6,0)
</span>

6 0

2 years ago

Read 2 more answers

This is for algebra 2 and I got stuck on this anyone know this?

AnnZ [28]

You just simplify the fraction (so, 8/6 which is 4/3)

So your comes 4(square root of 35)/ 3 (square root of 15)

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2 years ago

Use properties to prove that the expressions are equivalent. Complete the statements. Prove 7x - 4x = 3x. Use the distributive p

Rasek [7]

Answer:

First one is x(7-4)