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2 years ago

Simplifying square root

Mathematics

2 answers:

nydimaria [60]2 years ago

4 0

It should be a, 6! I hope all is well and you pass!

tamaranim1 [39]2 years ago

3 0

= 3 . 2 <span>√5
---------------
</span><span>√5
= 6</span>

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What are the solutions of the quadratic equation? 4x^2+34x+60=0

insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^{2} +34x+60=0$

$a=4\\b=34\\c=60$

substitute in the formula

$x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}$

$x=\frac{-34(+/-)\sqrt{196}} {8}$

$x=\frac{-34(+/-)14} {8}$

$x_1=\frac{-34(+)14} {8}=-\frac{20}{8}=-\frac{5}{2}$

$x_2=\frac{-34(-)14} {8}=-6$

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B2%20%7D%20" id="TexFormula1" title=" {3}^{2 } " alt=" {3}^{2 } " align="absmid

expeople1 [14]

Answer: 9

Step-by-step explanation:

To square a number, you multiply it by itself twice.

In this case, your answer would be 3 x 3 = 9.

Hope it helps! :)

3 0

2 years ago

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acc

alexdok [17]

The equation is:
h ( t ) = - 16 t² + 60 t + 3
The toy rocket will reach the ground when: h ( t ) = 0
- 16 t² + 60 t + 3 = 0
$t _{12} = \frac{-60+/- \sqrt{3600+192} }{-32}$
t 1 = - 0.05
t 2 = 3.8
Answer:
C ) 3.80 s

3 0

2 years ago

You use 240 cubic inches of clay to make a sculpture shaped as a rectangular prism. The width is 4 inches less than the length a

murzikaleks [220]

Answer:

L: 6

W: 2

H: 20

Step-by-step explanation:

First, we need to know the expression to calculate the volume of rectangular prism which is:

V = L * W * H

The only thing we know is that the volume is 240 in³ and that the width is 4in less than length, the height is 2 in more than 3 times length. So, everything is set in function of the length, therefore, we'll call L = x and then solve for x

L = x

W = x - 4

H = 3x + 2

Let's replace the data in the formula of volume:

240 = x * (x - 4) * (3x + 2)

240 = (x² - 4x)(3x + 2)

Solving this we have:

240 = 3x³ - 10x² - 8x

Rearranging the equation:

3x³ - 10x² - 8x - 240 = 0

Now, in order to solve this, we need to factorize the left side:

3x³ - 18x² + 8x² - 48x + 40x - 240 = 0

3x²(x - 6) + 8x(x - 6) + 40(x - 6) = 0

(x - 6)(3x² + 8x + 40) = 0

Now that we have this, we can solve the value of x.

x1 -----> x - 6 = 0 ---> x = 6

x2 ---> (3x² + 8x + 40) = 0

Δ = 8² - 4*3*40 = 64 - 480 = -416

This value of -416 means that it's not possible to get a real number as x (only the imaginary numbers), therefore the value of x should be 6

x = L = 6

With this value we can calculate W and H:

H = 6 - 2 = 4

W = (3*6) + 2 = 20

7 0

2 years ago

The sum of three consecutive numbers is 243. What is the third number?

marishachu [46]

Three consecutive numbers can be written as x, x+1, and x+2, but they also can be written x, x-1, and x-2 where x is the biggest number.

sum means adding... so

$x + x - 1 + x - 2 = 243$
combine like terms and solve for x!

3 0

3 years ago