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Lina20 [59]
2 years ago
5

Distance between (-4, 6) and (3, 7)

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
8 0

Answer: 5\sqrt{2}

Step-by-step explanation:

Distance\ formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }

plugging in the values we know:

x_2 = 3,\ x_1=-4,\ y_2=7,\ y_1=6

Therefore,

Distance=\sqrt{(3-(-4))^2+(7-6)^2}

\rightarrow\ \sqrt{(3+4)^2+(1)^2}

\rightarrow\ \sqrt{7^2+1}

\rightarrow\ \sqrt{50}

\rightarrow\ \sqrt{5\times5\times2}

\rightarrow\ \large\boxed{5\sqrt{2}}

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1.
ASHA 777 [7]

Answer:

Step-by-step explanation:

Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,

Rule to be followed,

A(x, y) → P(-y, x)

Therefore, A(1, 1) → P(-1, 1)

Similarly, B(3, 2) → Q(-2, 3)

C(2, 5) → R(-5, 2)

Triangle given in second quadrant will be the triangle PQR.

If the point P of triangle PQR is reflected across a line y = x,

Rule to be followed,

P(x, y) → X(y, x)

P(-1, 1) → X(1, -1)

Similarly, Q(-2, 3) → Y(3, -2)

R(-5, 2) → Z(2, -5)

Therefore, triangle given in fourth quadrant is triangle XYZ.

6 0
3 years ago
Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).
mr Goodwill [35]
The area of a Triangle is 1/2BH (B=Base length, H=Height)
When looking at the points, we can figure out the following:

The distance between the two points at the base is 8 (to get from -4 to 4 you must add 8) and the height is 4 (to get from -4 to 0 as well as 0 to 4, the distance is 4).

Now we plug in our values:
Area= 1/2(8)(4)
=1/2(32)
=16 Units squared

Therefore, your answer is 16 units squared.

I hope this Helps!
-Sinnamin
3 0
3 years ago
Translate into an inequality<br> The quotient of y and 7 is greater than or equal to -19
Dafna11 [192]

Answer:

y/7  >/  -19

That middle sign is the greater than or equal to sign (couldn't find on keyboard)

Step-by-step explanation:

y divided by 7 is greater than or equal to -19

Quotient means divided by.

7 0
3 years ago
A bale of hay measures 2 feet by 2 feet by 3 feet. Hay weighs 8 pounds per cubic foot. How much does the bale of hay weigh?
Inga [223]

Answer:

96lb

Step-by-step explanation:

2 \times 2 \times 3 = 12 \\ 12 \times 8 = 96

3 0
3 years ago
What effect did the pharaohs have on egypt ? Name three reasons
hammer [34]
1. They influenced who or what they egyptians worhsipped

5 0
3 years ago
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