4x² - 24x +7-3 =0
4x² - 24x + 4=0 /:4
x² - 6x +1=0
Use formula

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

For our equation a=1, b= - 6, c = 1

x= (6+/- \sqrt{36-4)}/2 = \frac{-6+/- \sqrt{32} }{2} = \frac{-6+/- \sqrt{16*2} }{2} = \frac{-6+/-4 \sqrt{2} }{2} 

= -3 +/- 2\sqrt{2} 
$

8 0

3 years ago

Jude incorrectly simplified the expression (1/2)^2 ● (1/2)^1 ● (1/2)^3 as shown below: (1/2)^2 ● (1/2)^1 ● (1/2)^3 = (1/8)^6 = 1

RUDIKE [14]

Answer:

im not sure

Step-by-step explanation:

7 0

3 years ago

The area of two similar octagons are 4 m2 and 25 m2. What is the scale factor of their side lengths

mylen [45]

Answer:

The scale factor of the sides of the Octagon is 2:5

Step-by-step explanation:

Both these octagons can be considered as the combination of 8 similar triangles joined edge to edge.

We know this property of similar triangles, that the ratio of area of similar triangles is proportion to the square of the ratio of sides of the similar triangle.

$Side_{1} ^{2} : Side_{2} ^{2} =Area_{1} : Area _{2}$

From the above property, we plug in the values

$Side_{1} ^{2} : Side_{2} ^{2} =4: 25$

$Side_{1} : Side_{2} =2: 5$

Therefore, the ratio of the sides of the Octagon are 2:5.

7 0

3 years ago