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mezya [45]
3 years ago
9

Which equation has the same solution as this equation?

Mathematics
1 answer:
lesya [120]3 years ago
8 0

Answer:

3rd Option is correct.

Step-by-step explanation:

Given Equation:

x² - 16x + 12 = 0

First We need to find solution of the given equation.

x² - 16x + 12 = 0

here, a = 1   , b = -16  &  c = 12

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

x=\frac{-(-16)\pm\sqrt{(-16)^2-4(12)}}{2}

x=\frac{16\pm\sqrt{256-48}}{2}

x=\frac{16\pm\sqrt{208}}{2}

x=\frac{16\pm4\sqrt{13}}{2}

x=8+2\sqrt{13}\:\:andx=8-2\sqrt{13}

Now,

Option 1).

( x - 8 )² = 144

x - 8 = ±√144

x - 8 = ±12

x = 8 + 12 = 20   and x = 8 - 12 = -4

Thus, This is not correct Option.

Option 2).

( x - 4 )² = 4

x - 4 = ±√4

x - 4 = ±2

x = 4 + 2 = 6   and x = 4 - 2 = 2

Thus, This is not correct Option.

Option 3).

( x - 8 )² = 52

x - 8 = ±√52

x - 8 = ±2√13

x  = 8 + 2√13   and x = 8 - 2√13

Thus, This is correct Option.

Option 4).

( x - 4 )² = 16

x - 4 = ±√116

x - 4 = ±4

x = 4 + 4 = 8  and x = 4 - 4 = 0

Thus, This is not correct Option.

Therefore, 3rd Option is correct.

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Im stuck need help me i don't get it
alexgriva [62]

Answer:

J. 12 : 18

Step-by-step explanation:

Amy used 2 tea bags for every 3 cups of water to make iced tea

the ratio here is 2:3

x = 2:3

lets simplify our ratios

6 : 10 = 3 : 5 ≠ 2 : 3

5 : 6 = (doesn't simplify evenly) ≠ 2 : 3

9 : 15 = 3 : 5 ≠ 2 : 3

12 : 18 = 2 : 3 = 2 : 3

<h3>Simplifying</h3>

find their highest common factor and divide both the numbers by the <u>same amount</u> (HCF).

Ex.

12 : 18

12 ÷ 6 = 2

18 ÷ 6 = 3

2 : 3

3 0
1 year ago
Read 2 more answers
The perimeter of an isosceles triangle less than 20 inches. If the base is 5 inches, what is the maximum length of each of the l
ser-zykov [4K]

Answer:

7.5 inches

Step-by-step explanation:

take the 5 away from the 20, you have 15 inches left. Isosceles triangles have two equal sides; 15 divided into two equally is 7.5

4 0
2 years ago
A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?
Fittoniya [83]
<h2>Answer:</h2>

<u><em>As a percent, the odds of having an allergic reaction would be 2%.</em></u>

This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.

None of the choices equal 1/50, so let's just make it a percentage anyway.

1/50 ---> 0.02

0.02 ---> 2%

<em>The answer is 2%, or 1/50 as a fraction.</em>

3 0
3 years ago
Calculate the area of the regular pentagon below:
djverab [1.8K]
Assuming the vertex of the triangle shown is the center of the pentagon, and the line segment shown is an altitude of the triangle:

If we join the center of (the circumscribed circle and of) the pentagon to the 5 vertices, 5 isosceles triangles are formed, all congruent to the one shown in the figure. It is clear that these triangles are congruent, so to find the area of the pentagon, we find the area of one of these triangles and multiply by 5.

The base of the triangle is 22.3 in, and the height is 15.4 ins, thus the area of the pentagon is:

5(Area triangle)=5*[(22.3*15.4)/2]=<span>858.55 (square inches).


Answer: </span>858.55 (square inches).
7 0
3 years ago
Based on the data given in the picture, calculate the area of the car track...
Verizon [17]

Refer to the diagram below. We need to find the areas of the green and blue regions, then subtract to get the area of the orange track only.

The larger green region is composed of a rectangle of dimensions 200 meters by 4+42+4 = 50 meters, along with two semicircles that combine to make a full circle. This circle has radius 25 meters.

The green rectangle has area 200*50 = 10000 square meters. The green semicircles combine to form an area of pi*r^2 = pi*25^2 = 625pi square meters. In total, the full green area is 10000+625pi square meters. I'm leaving things in terms of pi for now. The approximation will come later.

The blue area is the same story, but smaller dimensions. The blue rectangle has dimensions 200 meters by 42 meters, so its area is 200*42 = 8400 square meters. The blue semicircular pieces combine to a circle with area pi*r^2 = pi*21^2 = 441pi square meters. In total, the blue region has area 8400+441pi square meters.

After we figure out the green and blue areas, we subtract to get the orange region's area, which is the area of the track only.

orange area = (green) - (blue)

track area = (10000+625pi) - (8400+441pi)

track area = 10000+625pi - 8400-441pi

track area = (10000-8400) + (625pi - 441pi)

track area = 184pi + 1600 is the exact area in terms of pi

track area = 2178.05304826052 is the approximate area when you use the pi constant built into your calculator. If you use pi = 3.14 instead, then you'll get 2177.76 as the approximate answer. I think its better to use the more accurate version of pi. Of course, be sure to listen/follow your teachers instructions.

4 0
2 years ago
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