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shutvik [7]
3 years ago
8

Find the distance between the points (8, – 7) and ( – 4,9). Hint: Use the Pythagorean theorem

Mathematics
1 answer:
Sedaia [141]3 years ago
6 0
8+4=12
9+7=16
12^2=144
16^2=256
144+256=400
square root of 400 is 20

therefore the distance from (8, -7) to (-4,9) is 20.
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The first part of a trip driving at 40 mph was 15 miles longer and took 30 minutes longer than the second part of the trip drivi
kenny6666 [7]

Answer:

65 miles

Step-by-step explanation:

There are two simultaneous equations . Remeber that v=d/t, 1hour = 60 minutes.

1. 40 = (d+15)/(t+0.5)

2. 50 = d/t

solving: d= 25 miles and t=0.5 hours.

The distance traveled is:

D=d+d+15

D=65 miles

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3 years ago
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2/3* (1/3+3 1/4 help pls now
ale4655 [162]

Answer:

43/18

Step-by-step explanation:

2/3(1/3+ 3 1/4)

  • First solve parenthesis.

2/3(1/3+ 3 1/4)

find the lowest common denominator (12) to add the two fractions.

1/3= 4/12;  

3 1/4= 13/4 = 39/12

4/12+ 39/12= 43/12

2/3(43/12)

  • Then multiply the fractions.

2/3(43/12)

Numerator: 2*43= 86

Denominator: 3*12= 36

86/36

  • Last simplify your fraction.

43/18 or 2 7/18

4 0
3 years ago
What is the solution to this equation x/5=25
amid [387]

Answer:

x = 125

Step-by-step explanation:

Given

\frac{x}{5} = 25

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x = 5 × 25 = 125

x = 125

6 0
3 years ago
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sammy [17]

Answer:

Discount = 14.3% (rounded up to one decimal place)

Step-by-step explanation:

The regular price of an item is $84

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Percentage discount = (Discount ÷ regular price) × 100

Percentage discount = \frac{12}{84} × 100 = 14.3% (rounded up to one decimal place)

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3 years ago
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luda_lava [24]

Answer:

Step-by-step explanation:

interchange x and y

y= 1/(x - 2)

x = 1 / (y - 2)      Multiply both sides by y - 2

x(y - 2) = 1          Remove the brackets

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xy = 1 + 2x         Divide by x

y = (1 + 2x)/x

The brackets have been destroyed. The answer is as I've given it.

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