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ANEK [815]
3 years ago
15

Find the distance between the points given. (0,5) and (-5,0)

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

5\sqrt{2}

Step-by-step explanation:

Calculate the distance between the points using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)

d = \sqrt{(-5-0)^2+(0-5)^2}

  = \sqrt{(-5)^2+(-5)^2}

  = \sqrt{25+25} = \sqrt{50} = 5\sqrt{2} ← exact value

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Step-by-step explanation:

4 0
2 years ago
A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet
attashe74 [19]

Answer:

18617.66 ft^2

Step-by-step explanation:

sides of triangular base

a=  145ft  ,

b = 257ft ,

c =  290ft

<u>calculate the area of the base  </u>

The base is a scalene triangle hence the area is calculated as follows

s = ( a + b + c ) / 2

  = ( 145 + 257 + 290 ) / 2 = 346

Area of triangle = \sqrt{s(s-a)(s-b)(s-c)}  = \sqrt{346(201)(89)(56)}

                          = 18617.66 ft^2

3 0
2 years ago
Write a quadratic equation with -4 and 3/2 as it’s roots. Write the equation in the form ax^2 + bx + c = 0, where a, b, and c ar
jonny [76]

9514 1404 393

Answer:

  2x² +5x -12 = 0

Step-by-step explanation:

When p and q are roots of a quadratic, its factored form can be written as ...

  (x -p)(x -q) = 0

Here, the roots are given as -4 and 3/2, so the factored form would be ...

  (x -(-4))(x -(3/2) = 0

Multiplying by 2 gives us ...

  (x +4)(2x -3) = 0

Expanding the product, we find the desired quadratic is ...

  2x² +5x -12 = 0

5 0
2 years ago
In order to make 14 oz of a milk-coffee drink with a pH of 5.8, how many ounces of each are required?
muminat
I think it's 2.4dhhryhhg
8 0
2 years ago
Expand in logarithmic expression
olchik [2.2K]
ln( \frac{m^{5}}{n^{2}})^{3} =3ln( \frac{m^{5}}{n^{2}})= 3(ln({m^{5})-ln({n^{2}))=3(5ln(m)-2ln(n) = 15*ln(m)-6*ln(n)&#10;&#10;

The answer is 15*ln(m)-6*ln(n)  
3 0
3 years ago
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