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3 years ago

What is the distance, in units, between (3, -5) and (8, 7) in the coordinate plane?

Mathematics

1 answer:

Rufina [12.5K]3 years ago

4 0

Yes, 13 is correct
If you draw the right triangle, the two legs will be 5 and 12.
5 and 12 are parts of a Pythagorean triple. 13 completes the triplet.

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1. Carter will install fencing all around the flat area of his

MariettaO [177]

Answer:

Amount of fencing required = 75 yards

Step-by-step explanation:

Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between A(3, 6) and B(3, -2) = $\sqrt{(3-3)^2+(6+2)^2}$

= 8 yards

Distance between B(3, -2) and C(-7, 4) = $\sqrt{(3+7)^2+(-2-4)^2}$

= $\sqrt{136}$

= 11.66 ≈ 12 yards

Distance between C(-7, 4) and D(-7, -2) = $\sqrt{(-7+7)^2+(4+2)^2}$

= 6 yards

Distance between D(-7, -2) and E(-3, -2) = $\sqrt{(-7+3)^2+(-2+2)^2}$

= 4 yards

Distance between E(-3, -2) and F(-3, -8) = $\sqrt{(-3+3)^2+(-2+8)^2}$

= 6 yards

Distance between F(-3, -8) and G(3, -8) = $\sqrt{(-3-3)^2+(-8+8)^2}$

= 6 yards

Distance between G(3, -8) and H(10, -12) = $\sqrt{(3-10)^2+(-8+12)^2}$

= $\sqrt{49+16}$

= $\sqrt{65}$

= 8.06 ≈ 8 yards

Distance between H(10, -12) and J(10, 6) = $\sqrt{(10-10)^2+(-12-6)^2}$

= 18 yards

Distance between A(3, 6) and J(10, 6) = $\sqrt{(10-3)^2+(6-6)^2}$

= 7 yards

Since length of fence required = perimeter of the flat area

Perimeter of the given area = 8 + 12 + 6 + 4 + 6 + 6 + 8 + 18 + 7

= 75 yards

Therefore, amount of fencing required = 75 yards

8 0

3 years ago

Which number line shows the solution of –5x + 10 > –15?

hram777 [196]

I had the similar test and got it right so it should be B

5 0

2 years ago

You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

Once you give 1 candy to each of the 4 kids, you will have 3 remaining. The number of ways those can be distributed to 4 kids is given by ...

(n+k-1)C(n)

where n is the number of candies, and k is the number of kids. "aCb" is the number of ways a can be taken b at a time:

aCb = a!/(b!(a-b)!)

For n=3 and k=4, this is ...

(3+4-1)C(3) = 6C3 = 6!/(3!·3!) = 20

There are 20 ways to distribute 7 candies to 4 kids so that each kid receives at least one.

5 0

3 years ago

Need help ASAP giving 55 points and a branlist

Rudik [331]

Answer:

There are 54 squares on a rubix cube

Step-by-step explanation:

each side has 9 squares, and there are 6 sides, so you multiply 9x6 wich equals 54, so your answer would be

54 squares

Hope this helps! :)

6 0

3 years ago

One side of a triangle is 15 inches, and the area of the triangle is 90 sq. inches. Find the area of a similar triangle in which

kirill [66]

Do the ratio of the two sides. To get the area square the two sides.

(9/15) ratio of sides

(9/15)^2 ratio of areas

81/225

Multiply for the known area

90*(81/225) = 162/5 = 32,4 sq. inches (area of corresponding triangle)

5 0

3 years ago