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gayaneshka [121]
3 years ago
7

What are the roots of x in -10x^2+12x-9=0​

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

- 10 {x}^{2}  + 12x - 9 = 0 \\ \Leftrightarrow {x}^{2}  -  \frac{6}{5} x +  \frac{9}{10 }  = 0 \\ \Leftrightarrow  {x}^{2}  -  \frac{6}{5}x +  \frac{9}{25}  =  -  \frac{9}{10}  +  \frac{9}{25}  \\ \Leftrightarrow   \underbrace{ {(x -  \frac{3}{5} )}^{2} }_{ \geqslant 0} =  -  \frac{27}{50}  \\ \Leftrightarrow x\in\emptyset \\ \Rightarrow Roots: None

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djverab [1.8K]

k: the number of Kurds

t: the number of Turks

k=k

t=4k

k+t=66,000,000

k+4k=66,000,000

5k=66,000,000

k=13,200,000

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Step-by-step explanation:

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3 0
3 years ago
PLZ HELP
Masja [62]

Answer:

B. Survey 1,000 people aged below 25 who read newspapers

Step-by-step explanation:

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3 0
3 years ago
Find the equation of a line passing through (3, -5) that is parallel to 2x+6y=10
Zina [86]

Answer:

The equation of the line would be y = -1/3x - 4

Step-by-step explanation:

In order to find this, we first need to find the slope of the original line. We do this by solving for y.

2x + 6y = 10

6y = -2x + 10

y = -1/3x + 5/3

Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - -5 = -1/3(x - 3)

y + 5 = -1/3x + 1

y = -1/3x - 4

4 0
3 years ago
Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220
Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = x/ 250 (hour)</em>

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> <em>x/ 250 = (1,880 - x)/220</em>

<em>=> 220x = 250 x (1,880 -x) </em>

<em>=> 220x = 470,000 - 250x</em>

<em>=> 470x = 470,000</em>

<em>=> x = 1,000</em>

<em />

<em>So that, </em>when two train pass each other, Lian has traveled x = 1,000 km

<em> </em>

6 0
3 years ago
Read 2 more answers
What is m∠V?
Bezzdna [24]
We know that
Applying the law of cosines

c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]

in this problem

a=7.6 in

b=8.6 in

c=7.4 in

C=angle V

 cos C=[7.6²+8.6²-7.4²]/[2*7.6*8.6]----> 0.5887

C=arc cos (0.5887)--------> C=53.93°-------> C=53.9°


the answer is

angle V is 53.9°


5 0
3 years ago
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