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vodomira [7]
4 years ago
12

What is the distance from b (-35,25) to c (-20, 15)

Mathematics
1 answer:
Natali5045456 [20]4 years ago
6 0

Answer:

d = 5\sqrt{13}

Step-by-step explanation:

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

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>:

d = \sqrt{(-20-(-35))^2+(15-25)^2}

d = \sqrt{(-20+35)^2+(-10)^2}

d = \sqrt{(15)^2+100}

d = \sqrt{225+100}

d = \sqrt{325}

d = 5\sqrt{13}

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X =4<br> x+y=-6<br> 4x - 3y + 2z = 26
slega [8]

Answer:

x = 4 ,y = -10 , z = -10  

Step-by-step explanation:

Solve the following system:

{y + 4 = -6 | (equation 1)

16 - 3 y + 2 z = 26 | (equation 2)

Express the system in standard form:

{y+0 z = -10 | (equation 1)

-(3 y) + 2 z = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(3 y) + 2 z = 10 | (equation 1)

y+0 z = -10 | (equation 2)

Add 1/3 × (equation 1) to equation 2:

{-(3 y) + 2 z = 10 | (equation 1)

0 y+(2 z)/3 = (-20)/3 | (equation 2)

Multiply equation 2 by 3/2:

{-(3 y) + 2 z = 10 | (equation 1)

0 y+z = -10 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{-(3 y)+0 z = 30 | (equation 1)

0 y+z = -10 | (equation 2)

Divide equation 1 by -3:

{y+0 z = -10 | (equation 1)

0 y+z = -10 | (equation 2)

Collect results:

Answer: y = -10 , z = -10

6 0
3 years ago
A pole 24 feet high has a shadow eight feet long. A nearby pole is 72 feet tall. How long is it's shadow?
Dmitriy789 [7]

it would be c.)24 feet

6 0
3 years ago
Read 2 more answers
It takes Bill 3 minutes to eat one apple and it takes Frank 5 minutes to eat 2 apples. How long would it take for frank and bill
Norma-Jean [14]

Step-by-step Answer:

Given:

Bill : 3 minutes / apple

Frank : 5 minutes / 2 apples, or 2.5 minutes / apple.

So in 15 minutes, Bill eats 5 apples, and Frank eats 15/2.5 = 6 apples for a total of 11 apples.

To eat completely at least 12 apples, it would take 15 minutes + 1 apples, which means 17.5 minutes, with Bill having eaten 5 5/6 apples, and Frank having eaten 7 apples, exactly.

So the minimum time to eat 12 apples would be 17.5 minutes.

Note: at 18 minutes, they would have eaten 13 1/5 apples.

5 0
3 years ago
Is 4/10 greater than 3/8
Lerok [7]
Yea 4\10 is bigger because 10 is bigger than 8
3 0
3 years ago
Read 2 more answers
What is the m I’m not sure on what this means?
alexdok [17]

m here means measure

m<KLN means measure of angle KLN

3 0
3 years ago
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