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Alexxx [7]
2 years ago
5

What’s the distance ?

Mathematics
1 answer:
Aleksandr [31]2 years ago
7 0

Answer:

3

Step-by-step explanation:

This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,

(4,2), (5, 5)

The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,

D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}

Substitute the endpoints of the line into the formula and solve for the distance between the points,

D=\sqrt{(4-5)^2*(2-5)^2}

Simplify, solve for the distance between the two points,

D=\sqrt{(4-5)^2*(2-5)^2}

D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3

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Solve the following equation. Then place the correct number in the box provided. 2(x + 1 ) - 3(x + 5) ≥ 0
larisa86 [58]

Answer:

13

Step-by-step explanation:

2x+2-3x-15>0

-x+13>0

-x>0-13

x>-13/-1

x>13

5 0
2 years ago
[HELP FAST] A line passes through the point (4, -9) and has a slope of -5/4
DENIUS [597]

Answer:

y= \frac{-5}{4}x -4

Step-by-step explanation:

using pt-slope form, we get  y - (-9) = \frac{-5}{4}(x-4). Using the Distributive Property and Addition Propert of Equality, we can simplify this equation into y = \frac{-5}{4}x + 5 by factoring -5/4 into (x-4) and subtracting 9 from both sides.

5 0
2 years ago
A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indiv
kati45 [8]
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
   = 12.96 - 2.97
   = 9.99 dollars

7 0
2 years ago
Which statement is correct?
Andreyy89

Answer:

Correct statements:

Step-by-step explanation:

A line that rises from left to right has a positive slope.

A line that falls from right to left has a negative slope.

A horizontal line has no slope. (slope of 0)

4 0
3 years ago
A line passes through the point (-7,8) and has a slope of 1
Mila [183]

Answer:

y - 8 = x + 7

Step-by-step explanation:

To write the equation of a line use the point slope form. Substitute m = 1 and (-7,8).

y - y_1 = m(x-x_1)\\y - 8 = 1(x --7)\\y - 8 = 1(x + 7)\\y - 8 = x+7

3 0
3 years ago
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