First input 6x for y in the top equation
simplify
divide both sides by -14
simplify
simplify
check
simplify
x=-1 y=-6
(-1, -6)
The ratio of three numbers is 4 : 3 : 1. the sum of the numbers is 64. the greatest of these three numbers is
2 answers:
Answer:
The greatest number is 32 .
Step-by-step explanation:
As given
The ratio of three numbers is 4 : 3 : 1.
The sum of the numbers is 64.
Let us assume that the x be the scalar multiple of the numbers .
First number = 4x
Second number = 3x
Third number = x
Than the equation becomes
4x + 3x + x = 64
8x = 64
x = 8
Thus
First number = 4x
= 4 × 8
= 32
Second numbers = 3x
= 3 × 8
= 24
Third number = x
= 8
Therefore the greatest number is 32 .
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(a) We assume the triangle to be a right angle triangle, we can use the Pythagoras theorem to proof whether the third side could be 6 cm. Let say the side of 3cm and 4cm are the two short sides, then
The third side couldn't be 6 for a right angle triangle.
However, if the triangle isn't a right angle, we can construct a scalene triangle of 3cm, 4cm, and 6cm
(b) Similar to part (a), we assume the triangle to be a right-angle triangle, we take the hypotenuse to be 4cm and one shorter side to be 3 cm. Working out the other short side
In conclusion, we can't have a right angle triangle with sides 4cm, 3cm, and 1 cm
We, however, can construct a scalene triangle of sides 4cm, 3cm and 1 cm
The third side couldn't be 6 for a right angle triangle.
However, if the triangle isn't a right angle, we can construct a scalene triangle of 3cm, 4cm, and 6cm
(b) Similar to part (a), we assume the triangle to be a right-angle triangle, we take the hypotenuse to be 4cm and one shorter side to be 3 cm. Working out the other short side
In conclusion, we can't have a right angle triangle with sides 4cm, 3cm, and 1 cm
We, however, can construct a scalene triangle of sides 4cm, 3cm and 1 cm