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QveST [7]
3 years ago
9

(9,5) and (4,-7) find the distance between two points

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

13 units

Step-by-step explanation:

Use the distance formula, d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}, where (x2, y2) and (x1, y1) are two different points on the line.

Plug in the values:

d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

d = \sqrt{(9 - 4)^2 + (5 + 7)^2}

d = \sqrt{5^2 + 12^2}

d = \sqrt{25 + 144}

d = \sqrt{169}

d = 13

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3 years ago
A food can claim it is "high in" a particular nutrient if it contains 20% or more of the DV. This food is a "high ____" food.
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3 0
3 years ago
I'll give more points here is what I need.
Serga [27]

Answer:

The answer to your question is x = 3; y = 3

Step-by-step explanation:

Data

angle = 45°

Opposite side = x

Adjacent side = y

hypotenuse = 3√2

To solve this problem, use trigonometric functions.

1) To find x, use the trigonometric function sine.

              sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

              Opposite side = hypotenuse x sin Ф

-Substitution

              Opposite side = 3√2 sin 45

-Simplification

               Opposite side = 3√2 (1 / √2)

               Opposite side = 3(1)

-Result  

               x = 3

2) To find y use the trigonometric function cosine

               cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

                Adjacent side = hypotenuse x cos Ф

-Substitution

                Adjacent side = 3√2 x cos 45

-Simplification

                Adjacent side = 3√2 x (1/√2)

                Adjacent side = 3(1)

-Result

                y = 3

5 0
3 years ago
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