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natulia [17]
3 years ago
15

Find the distance from point a(0 5) to y=-3x-5

Mathematics
1 answer:
Allisa [31]3 years ago
5 0

Try this option (see the attached picture):

1. to determine an equation of line y₁, which ⊥y and includes point a(0;5);

2. to calculate intersection point of y and y₁ (point B);

3. to calculate distance between the point A and B, using vectors properties.

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A map is laid out in the standard (x,y) coordinate plane. How long, in units, is an airplane's path on the map as the airplane f
xeze [42]

Answer:

Distance between the points A and B is 15.52 units.

Step-by-step explanation:

It has been given in the question that an airplane flies along a straight line from City A to City B.

Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).

Distance between two points A'(x, y) and B'(x', y') is represented by the formula,

d = \sqrt{(x-x')^{2}+(y-y')^{2}}

So we plug in the values of (x, y) and (x', y') in the formula,

d = \sqrt{(20-5)^{2}+(14-10)^{2}}

d = \sqrt{(15)^{2}+(4)^{2}}

d = \sqrt{225+16}

d = 15.52

Therefore, distance between the points A and B is 15.52 units.

4 0
3 years ago
5/9 is rational or irrational
Elenna [48]
Rational hope this helps
8 0
3 years ago
I need help really bad
Stella [2.4K]
The answer is 18.  You add 5  to both sides of the equation. the 5 cancels out.  You are left with 2/3x=12.  Then you divide 12 by 2/3 to get x.  12 divided by 2/3 is 18
5 0
4 years ago
Dawn took two pies to a school bake. She cut Pie A into 8 slices and Pie B into 6 slices. She sold two slices of Pie A and three
evablogger [386]
2 of the 8 slices of pie A were sold (2/8)
3 of the 6 slices of pie B were sold (3/6)

Both of these fractions can be simplified

2/8 --> 1/4
3/6 --> 1/2

In order to add these two fractions, they must have a common denominator. This can be accomplished by multiplying the second fraction by 2

1/2 --> 2/4

Now we can add the two

1/4 + 2/4 = 3/4

Therefore 3/4 of the pie has been sold. In order to find out how much remains, we must subtract the amount that has been sold from the original amount of pie (2)

2 - 3/4 = 1 1/4 = 1.25
4 0
3 years ago
The ordered pair (-9, 1) is a solution to the inequality y ≤ 2x - 7
kupik [55]

Replace x in the equation with the x value from the ordered pair and see if the y value meets the inequality.

y ≤ 2(-9) -7

y ≤ -18 - 7

y ≤ -25

The y value in the ordered pair is 1, so replace y with 1 and see if the inequality is true:

1 ≤ -25

1 is a positive value and the equation equals a negative value, so this is not true, because 1 is greater than -25.

4 0
3 years ago
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