Given the equation 10.5h - 30 = 138, what is the value of h?

Mathematics

1 answer:

Furkat [3]2 years ago

8 0

Combine like terms then divide by the coefficient

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Am I correct? (Perfect Square Form)

natka813 [3]

Answer:

$(x -3 )^2 = 10$

Step-by-step explanation:

Given

$x^2 - 6x - 1 = 0$

Required: Express as a perfect square

$x^2 - 6x - 1 = 0$

Add 10 to both sides

$x^2 - 6x - 1 +10= 0+10$

$x^2 - 6x +9= 10$

Expand

$x^2 - 3x - 3x+9= 10$

Factorize:

$x(x - 3) - 3(x - 3)= 10$

Factorize:

$(x -3 )(x - 3) = 10$

$(x -3 )^2 = 10$

8 0

3 years ago

Find the permeter of a quadrilateral with vertices at C (2,4), D(1,1), E(5,0), and F(3,4). Round your answer to the nearest hund

denpristay [2]

Answer:

12.76

Step-by-step explanation:

This is much easier to solve if you draw it out on a graph. The perimeter is the sum of all the sides. I used the Pythagorean theorem to find the hypotenuse.

${a}^{2} + {b}^{2} = {c}^{2} \\ c = \sqrt{ {a}^{2} + {b}^{2} }$

$dc = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \\ cf = 1 \\ fe = \sqrt{ {4}^{2} + {2}^{2} } = \sqrt{20} \\ de = \sqrt{ {1}^{2} + {4}^{2} } = \sqrt{17} \\ \sqrt{10} + 1 + \sqrt{20} + \sqrt{17} = 12.76$