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kifflom [539]
4 years ago
10

What's the answer and how do u figure out number 5 only

Mathematics
1 answer:
shusha [124]4 years ago
6 0
The length of a segment knowing the coordinates of its end points:
(x₁,y₁) and (x₂,y₂) is given by the formula:

Length = √[(x₁ - x₂)² + (y₁ - y₂)²]

T(1,4)  ;   A(4,4)  ;   P(3,0)

a) TA =√[(1-4)²+(4-4)²] → TA = 3
b) AP  =√[(4-3)²+(4-0)²] →AP  = √17 = 1.123
c) TP =√[(1-3)²+(4-0)²] → TA = √20 =  4.472

Perimeter = TA + AP + TP = 8.60


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The scale of a map is 1 : 100,000. The distance between two houses on the map is 3.2 cm. Find the actual distance, in kilometers
goldenfox [79]

Answer:

The actual distance between the two houses is:

3.2 km

Step-by-step explanation:

Proportions:

1cm       ⇔  100000 cm

3.2 cm  ⇔  W cm

W = 3.2*100000/1

W = 320000 cm

1 km = 100000 cm

320000cm = 320000/100000 = 3.2km

8 0
4 years ago
PLEASE HELP ASAP!!!!!!!
Trava [24]

Answer:

it is part B

Step-by-step explanation:

4 0
3 years ago
At 10 a.m., there were 12 people in a swimming pool. At 11 a.m., there were 27 people in the pool. What was the percent of incre
SashulF [63]
If at 10 Am there were

10 AM.......................12 people
11 AM........................27 people

we see that in an hour the number of people increased by
27-12=15

1 percent of 12 is
12/100=0.12
15/.12=125
the increase was 125%
8 0
3 years ago
Write an equation for the line that is parallel to the given line and contains the given point. y=4/3x-7; (7,2)
nalin [4]

Answer:

y = (4/3)x - (22/3)

Step-by-step explanation:

If it's parellel than they have the same slope.

m = 4/3

y = mx + b

y = (4/3)x + b

2 = (4/3)(7) + b

(6/3) = (28/3) + b

-(28/3) -(28/3)

(-22/3) = b

7 0
3 years ago
Find the equation of the line that is perpendicular to y=1/3x-3 and passes through the point (3,-2)
sveta [45]

Answer:

y = -3x + 7

Step-by-step explanation:

Using the equation of line

y = mx + C

y - y_1 = m(x - x_1)

First find the slope

With eqn y = 1/3x - 3

Note, if two lines are perpendicular, their slope will be negative reciprocal

slope = m = -3/1

Using y - y_1 = m(x - x_1)

With point ( 3, -2)

x_1 = 3

y_1 = -2

y - (-2) = -3/1(x - 3)

y + 2 = -3/1(x -3)

Open bracket

y + 2 = -3(x - 3)/1

y + 2 = (-3x +9)/1

y = (-3x + 9 )/1 - 2

LCM is 1

y = -3x + 9 - 2

y = -3x + 7

The equation of the line is

y = -3x + 7

5 0
3 years ago
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