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Korolek [52]
2 years ago
12

Point p has coordinates (-4,-2) and point q has coordinates (4,3) calculate the shortest distance between P and Q. Give your ans

wer to 1 decimal place
Mathematics
1 answer:
IRINA_888 [86]2 years ago
5 0

Answer:

distance = 9.4 units

Step-by-step explanation:

* using the distance formula *

d =

\sqrt{(x2 - x1 )^{2} + (y2 - y1)^{2} }

\sqrt{( - 4 - 4) ^{2} + ( - 2 - 3) ^{2} }

= 9.4 units

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Plz ANWSER and make sure it’s in decimal form, plz show ur work <br> Overdue will mark brainest!
kari74 [83]

Answer:

Step-by-step explanation:The model will be of length 0.4 ft and the width being 0.28 feet

Step-by-step explanation:

Step 1.We know that the length of the building is 200 feet, and that the width of the building is 140 feet.

Step 2. the question tells us that "a 1/500 model is built of the building", meaning the problem wants to create a model using the ratio 1 feet for each 500 feet.

Step 3.So now  to find the length and width of the model, we need to divide the given sides by 500.

Step 4. Side length of the Model = 200/500 = 2/5 = 0.4 feet

Step 5. Side width of the Model = 140/500 = 14/50 = 0.28 feet

There for giving us our final answer... "The model will be of length 0.4 feet and width 0.28 feet."

Hope I could help! :)

6 0
3 years ago
Read 2 more answers
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E. The captain then turns the boat 90° and travels
Serga [27]

Answer:

Step-by-step explanation:

A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.

Displacement in vector form

= 28 cos43 i + 28sin43j

= 20.47 i + 19.1 j

The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E

Displacement

= 15 cos47 i - 15 sin47 j

= 10.22 i - 10.97 j

Total displacement

= 20.47 i + 19.1 j + 10.22 i - 10.97 j

= 30.69 i - 8.13 j

Magnitude of displacement

= 31.75 miles

Angle with east direction

TanФ = - 8.13 / 30.69

Ф = 15 degree  south of east.

3 0
3 years ago
Find the value of a <br><br>3:9=4:a
Goryan [66]

Answer:

it is equals to 3 okay ^^

7 0
3 years ago
Read 2 more answers
3w-1 divided by 3 minus 2w+1 divided by 3 =1
LiRa [457]

Answer:

w = 5

Step-by-step explanation:

(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1

(Graph, just switch w to x)

3 0
2 years ago
Read 2 more answers
Okay that it 5^4x-13=125
Novosadov [1.4K]

Answer:

x=86250

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (1/5)^4*x-13-(125)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           5

Equation at the end of step

1

:

    1                    

 (((—)4) • x) -  13) -  125  = 0

    5                    

STEP

2

:

Equation at the end of step

2

:

    1                

 ((—— • x) -  13) -  125  = 0

   54                

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  625  as the denominator :

         13     13 • 625

   13 =  ——  =  ————————

         1        625  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (13 • 625)     x - 8125

——————————————  =  ————————

     625             625  

Equation at the end of step

3

:

 (x - 8125)    

 —————————— -  125  = 0

    625        

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  625  as the denominator :

          125     125 • 625

   125 =  ———  =  —————————

           1         625  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

(x-8125) - (125 • 625)     x - 86250

——————————————————————  =  —————————

         625                  625  

Equation at the end of step

4

:

 x - 86250

 —————————  = 0

    625  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x-86250

 ——————— • 625 = 0 • 625

   625  

Now, on the left hand side, the  625  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-86250  = 0

Solving a Single Variable Equation:

5.2      Solve  :    x-86250 = 0

Add  86250  to both sides of the equation :

                     x = 86250

One solution was found :

x = 86250

                 

7 0
2 years ago
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