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Igoryamba
2 years ago
5

If the distance between A(0, 4) and B(3,a) is 5 units then find the value of a.​

Mathematics
2 answers:
Anna007 [38]2 years ago
4 0

Answer:

Step-by-step explanation:

a = 0

So that AOB makes a right triangle with sides 3-4-5

Phoenix [80]2 years ago
4 0

Answer:

a = 8

Step-by-step explanation:

Calculate AB using the distance formula and equate to 5

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = A (0, 4 ) and (x₂, y₂ ) = B (3, a )

d = \sqrt{(3-0)^2+(a-4)^2}

  = \sqrt{3^2+(a-4)^2}

  = \sqrt{9+(a-4)^2} , then

\sqrt{9+(a-4)^2} = 5 ( square both sides )

9 + (a - 4)² = 5² = 25 ( subtract 9 from both sides )

(a - 4)² = 16 ( take square root of both sides )

a - 4 = 4 ( add 4 to both sides )

a = 8

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nadezda [96]

6/13÷6/12=12/13 so C.

Hope this helps!

5 0
3 years ago
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OverLord2011 [107]
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For the vectors Bold uequalsleft angle negative 8 comma 0 comma 1 right angleand Bold vequalsleft angle 1 comma 3 comma negative
trapecia [35]

Answer:

Step-by-step explanation:

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Similarly projection of V on U

=\frac{U.V}{|U|} \\=\frac{-11}{\sqrt{64+0+1} } \\=\frac{-11}{\sqrt{65} }

4 0
3 years ago
every 10 years the shrum family has a reunion. every 2 years they meet for a dinner. How often does the reunion fall in the same
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. CDEF is a trapezium
guajiro [1.7K]

9514 1404 393

Answer:

  24 cm²

Step-by-step explanation:

To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...

  P = 2(AB +BC)

  BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm

Then CD is ...

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The area of trapezium CDEF is 24 cm².

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3 years ago
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