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VikaD [51]
3 years ago
6

Point A has coordinates (-5, 3). If point (1,6) is

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

Answer:

(3, 7)

Step-by-step explanation:

 (4/3)P -(4/3)A + A = B . . . . . . add A

 (4P -A)/3 = B . . . . . . . . . . . . . simplify

Then the coordinates of point B are ...

 B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3

 B = (3, 7)

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Simplify each expression. 16 1/4. 49 1/2. 10001/3-64 1/6
Crazy boy [7]
The answer for the first one is 4 the sacend one is 49/2 the thirst one is 33223
7 0
3 years ago
Which of the following sets could be the sides of a right triangle?
coldgirl [10]

Answer: Choice B) {3, 5, sqrt(34)}

=====================================

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

7 0
3 years ago
A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from V
Alexus [3.1K]

Answer:

<h3>2642km</h3>

Step-by-step explanation:

Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;

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

Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10

D =\sqrt{(67-63)^2+(10-45)^2}\\ \\D = \sqrt{4^2+(-35)^2} \\\\D = \sqrt{16+1225} \\\\D = \sqrt{1241} \\\\D = 35.2278

If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km

Hence the birds distance in km will be 2642km to the nearest kilometers

4 0
3 years ago
How many sales would you make a week? i would make between 3 and 5 sales per week?
svp [43]
You will make 4 sales if you are making a sale between 3 and five because 4 is whats in between 3 and 5. If your are to compute you will make a sale of average 4 because the average of 3 and 4 is 5. Computed as 3+5/2=4.
7 0
3 years ago
21. Melanie is making homemade stickers, She uses
Sergio039 [100]
1: 5 2: 9 or 10

For question 1 we can round 115 to 100, 5x100 is 500 which is closer to 545 than 7x100 = 700.
7 0
3 years ago
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