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Vedmedyk [2.9K]
2 years ago
12

What is the distance between the points (-4,5) and (8,9)?

Mathematics
1 answer:
DanielleElmas [232]2 years ago
5 0

<u>Answer:</u>

<h3>d ≈ 12.65</h3>

<u>Steps:</u>

d² = (8-(-4))²+(9-5)²

d² = (8+4)² + 4²

d² = 12² + 4²

d² = 144 + 16

d² = 160

d = √160

<h3>d ≈ 12.65</h3>
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What is the solution to this system of equations?<br><br><br>4x + 5y = 7<br><br><br>3x – 2y = –12
oksano4ka [1.4K]

Answer:

x = -2 and y = 3

Step-by-step explanation:

It is given that,

4x + 5y = 7    -----(1)

3x – 2y = –12   ----(2)

<u>To find the value of x and y</u>

eq(1) * 3 ⇒

12x + 15y = 21   ----(3)

eq(2) * 4 ⇒

12x - 8y = -48  ---(4)

eq(3) - eq(4) ⇒

12x + 15y = 21   ----(3)

<u>12x - 8y = -48 </u> ---(4)

 0 + 23y = 69

y = 69/23 = 3

Substitute the value of y in eq(1)

4x + 5y = 7    ----(1)

4x + 5*3 = 7

4x = 7 - 15 = -8

x = -8/4 = -2

Therefore x = -2 and y = 3

5 0
2 years ago
You are at the edge of a cliff
gavmur [86]

Answer:

tell the teacher u ar at home

7 0
2 years ago
Can someone give an explaination please<br><br>​
iren [92.7K]

Answer:

x ≥ -3

x ≤ 3

Step-by-step explanation:

For the first inequality, just add 3 to both sides.

For the second inequality, add 4 to both sides then divide both sides by 3.

3 0
2 years ago
Please i need the answer
Harrizon [31]
Answer: b
sorry cant give explanation
7 0
3 years ago
Three research departments have 9, 7, and 10 members, respectively. Each department is to select a delegate and an alternate to
aivan3 [116]
Work:
First department: (They have 9 possibilities for delegate and 8 for alternate)
9 * 8 = 72
Second department: (They have 7 possibilities for delegate and 6 for alternate)
7 * 6 = 42
Third department: (They have 10 possibilities for delegate and 9 for alternate)
10 * 9 = 90
Total possibilities:
72 * 42 * 90 = 272,160 possibilities

I hope this helps!
3 0
3 years ago
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