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sergij07 [2.7K]

3 years ago

7

4c^2-8c-1=0 complete the square round to nearest hundredth

1 answer:

olga55 [171]3 years ago

8 0

Move constant to other side
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2

c=2.12 or -0.12

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If the hypotenuse of a right triangle is 2 <img src="https://tex.z-dn.net/?f=%5Csqrt%7B3%7D" id="TexFormula1" title="\sqrt{3}" a

Svetradugi [14.3K]

Answer:

3

Step-by-step explanation:

a = the other leg:

$a^{2} =(2\sqrt{3} )^{2} -(\sqrt{3}) ^{2} =(4)(3)-3=12-3$

$a^{2} =9$

$a=\sqrt{9}$

$a=3$

Hope this helps

5 0

1 year ago

Solve the quadratic equation<br> give your answer to 2 decimal places<br> : 3x^2+x-5=0

Dima020 [189]

Given:

The quadratic equation is:

$3x^2+x-5=0$

To find:

The solution for the given equation rounded to 2 decimal places.

Solution:

Quadratic formula: If a quadratic equation is $ax^2+bx+c=0$ , then:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

We have,

$3x^2+x-5=0$

Here, $a=3,b=1,c=-5$ . Using the quadratic formula, we get

$x=\dfrac{-1\pm \sqrt{1^2-4(3)(-5)}}{2(3)}$

$x=\dfrac{-1\pm \sqrt{1+60}}{6}$

$x=\dfrac{-1\pm \sqrt{61}}{6}$

$x=\dfrac{-1\pm 7.81025}{6}$

Now,

$x=\dfrac{-1+7.81025}{6}$

$x=1.13504167$

$x\approx 1.14$

And

$x=\dfrac{-1-7.81025}{6}$

$x=-1.468375$

$x\approx -1.47$

Therefore, the required solutions are 1.14 and -1.47.

3 0

3 years ago

The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0). ABCD is reflected over the x-axis to create parallelogr

Anna35 [415]

Answer:

The correct answer is:

D) Q(2,1) R(3,-4) S(5,-3) T(4,0)

Step-by-step explanation:

When you reflect over the x-axis the vertices of the parallelogram, the y -coordinates is multiplying by -1.

Then the new coordinates of the parallelogram are:

Q(2,-1) R(3,-4) S(5,-3) T(-4,0)

3 0

3 years ago

Max And His father plan to build a skateboard "fun box". Max has to buy materials. He has 65$ saved up so far. Max needs to buy

Harrizon [31]

Answer:

yes he will have enough money

he will have 56.64

Step-by-step explanation: you can do this two ways i did 65 - 1.89 then did that answer - 3.98 then that answer -2.49 that gave me 56.64

the other way you can do this is by adding 1.89 + 3.98 + 2.49 = the amount you need to subtract with 65 - the amount then you get 56.64

7 0

2 years ago

What is 0.178 as a fraction

olga55 [171]

0.178 as a fraction is <span>89/<span>500 !</span></span>

4 0

3 years ago

Read 2 more answers