I need help , I keep coming up with the wrong answers!

Mathematics

1 answer:

Vikki [24]3 years ago

5 0

Answer:

$x=\dfrac{7\pm\sqrt{17}}{4}$

Step-by-step explanation:

First of all, write the equation in standard form. Then identify a, b, c and fill in the values in the formula.

$4x^2-9x=2x^2-2x-4\\\\4x^2 -9x -(2x^2-2x-4) = 0\quad\text{subtract right side}\\\\4x^2-9x-2x^2+2x+4=0\quad\text{eliminate parentheses}\\\\2x^2 -7x+4=0\quad\text{collect terms; a=2, b=-7, c=4}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\quad\text{quadratic formula}\\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4(2)(4)}}{2(2)}\quad\text{fill in a, b, c}\\\\\boxed{x=\dfrac{7\pm\sqrt{17}}{4}}\quad\text{simplify}$

You might be interested in

Write an equation and solve for x

pashok25 [27]

X would equal 53° since a triangle has to equal 180°, 65 + 62 = 127, 180-127=53°

3 0

2 years ago

00:00

lara [203]

Answer:

It will take 39.27 gallons to repaint the barn.

Step-by-step explanation:

The image of the setup is obtained from online and attached to this solution.

The rectangular prism is a cuboid of

Length = 84 ft

Breadth = 38 ft

Height = 20 ft

And the triangular prism on top of the rectangular prism has a vertical height of 12 ft.

The surface area of the composite structure that is available for painting include the 4 sides of the top triangular prism and the four sides of rectangular prism

Two of the faces of the triangular prism are triangles with base of 38 ft and height of 12 ft.

The other two faces of the triangular prism are rectangles with length 84 ft and breadth of the hypoteneuse of the right angled triangle on top.

B² = 12² + 19²

B = 22.47 ft

Total Surface area of the faces of the rectangular prism is then

2×(84×20) + 2×(38×20) = 4880 ft²

Total surface area of the faces of the triangular prism is then

2×(0.5×12×38) + 2×(84×22.47) = 4,230.96 ft²

Total surface area = 4880 + 4230.96 = 9110.96 ft²

1 gallon of paint = 232 ft²

x gallons of paint = 9110.96 ft²

x = (1×9110.96/232) = 39.27 gallons.