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PIT_PIT [208]
3 years ago
14

Consider the quadratic equation below. 4x^2-5=3x+4 Determine the correct set-up for solving the equation using the quadratic for

mula.
Mathematics
2 answers:
lidiya [134]3 years ago
7 0

4x^2-5=3x+4

4x^2 - 3x - 5 - 4 = 0

4x^2 - 3x -9 = 0

x= \dfrac{3 \pm \sqrt{3^2 - 4(4)(-9)}}{2(4)}

x = \frac 1 8 (3 \pm \sqrt{9(1 + 16)})

x = \frac 1 8 (3 \pm 3\sqrt{17})


Sophie [7]3 years ago
6 0

Answer:

Solutions are 1.92 and -1.17

Step-by-step explanation:

The general solutions of quadratic equation of the form ax²+bx+c = 0 is given by \frac{-b+\sqrt{b^2-4ac} }{2a} and \frac{-b-\sqrt{b^2-4ac} }{2a}

Here the the equation is 4x²-5 = 3x + 4

On rearranging

             4x²-3x-5-4 = 0

             4x²-3x-9 = 0

Comparing with ax²+bx+c = 0, we will get a = 4, b = -3 and c = -9

The solutions are given by

     \frac{-(-3)+\sqrt{(-3)^2-4*4*(-9)} }{2*4} and  \frac{-(-3)-\sqrt{(-3)^2-4*4*(-9)} }{2*4}

     \frac{3+\sqrt{153} }{8} and  \frac{3-\sqrt{153} }{8}

     1.92 and -1.17

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ddd [48]

Answer:

7:45

Step-by-step explanation:

Since they both turn red at differnt times, you have to find a multiple to find the time they will be both on

Main St: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105

Elm St. 15, 30, 45, 60, 75, 90, 105

They will both turn on 105 minutes or 1 hour and 45 minutes from 6

6 + 1 hr 45 min = 7:45

8 0
3 years ago
In the parallelogram below find why
Mkey [24]
Angle E=130degrees because those two are congruent. Therefore if you 180-130 you'll get the other angle in the triangle with 70degrees and y. 180-130=50degrees. Then add 50 and 70. 50+70=120degrees. A triangle is supposed to have 180 degrees inside.
180-120=60degrees.
Therefore y=60degrees
8 0
3 years ago
Which expression represents the volume, in cubic
muminat

Given:

The composite figure.

To find:

The volume of the given composite figure.

Solution:

Given composite figure contains a cuboid and a pyramid.

Length, breadth and height of the cuboid are 8, 6 and 4 respectively.

Volume of a cuboid is

V_1=length\times breadth\times height

V_1=(8)(6)(4)

Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.

Height of pyramid = 10 - 4 = 6

Volume of a pyramid is

V_2=\dfrac{1}{3}\times length\times breadth\times height

V_2=(\dfrac{1}{3})(8)(6)(6)

The volume of composite figure is

V=V_1+V_2

V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)

It can be written as

V=(\dfrac{1}{3})(8)(6)(6)+(8)(6)(4)

Therefore, the correct option is A.

3 0
3 years ago
Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.
sveticcg [70]

Answer:

(a) x=\frac{5\pi }{3}

(b)  x=\frac{\pi }{8}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi

(a) We have given equation 2sinx+\sqrt{3}=0

sinx=\frac{-\sqrt{3}}{2}

x=sin^{-1}(-0.866)

x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}

(b) tan(2x)=1

2x=tan^{-1}1

2x=\frac{\pi }{4}

x=\frac{\pi }{8}

7 0
3 years ago
Some one help me with my bro’s hw
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Answer:

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4 0
3 years ago
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