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kkurt [141]
3 years ago
10

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, 5) on the same

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

4.2 units

most likely answer choice B

Step-by-step explanation:

(1, 2) and (4, 5)

To find the distance between 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 + (5 - 2)^2 }

Evaluate the parentheses.

d = \sqrt{(3)^2 + (3)^2 }

Evaluate the exponents.

d = \sqrt{(9) + (9) }

Add.

d=\sqrt{18}

Evaluate the radical.

d = 4.24

Round to the nearest tenth.

d = 4.2 units

*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.

Hope this helps!

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MIDPOINT & DISTANCE help
tamaranim1 [39]

Answer:

<h2>M(-6, 4)</h2>

Step-by-step explanation:

The formula of a midpoint of (x₁, y₁) and (x₂, y₂):

M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

We have two points (-3, 7) and (-9, 1).

Substitute:

x=\dfrac{-3+(-9)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{7+1}{2}=\dfrac{8}{2}=4

5 0
3 years ago
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MrRissso [65]

Step-by-step explanation:

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2 years ago
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lukranit [14]

Answer:

y - 4 = 3(x- (-1)     --->      y-4 = 3(x+1)

Step-by-step explanation:

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y = 3x + 7

then plug in (-1,4)

4 = 3(-1) + 7

4 = -3 + 7

4 = 4

Point slope form looks like:

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6 0
3 years ago
Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w
Yuri [45]

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

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Andru [333]
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3 years ago
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