If a,b,c are all non-zero numbers and a+b+c=0, prove that
[tex]a ^{2} / bc + b²/ac + c²/ab = 3[/tex]
no spam and kindly explain your answer!
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Answer:

[tex]5(x + 10)(10x - 3)[/tex]

Step-by-step explanation:

We are factoring

[tex]50x^{2} + 485x - 150[/tex]

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

[tex]5(x + 10)(10x - 3)[/tex]

Answer:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

Step-by-step explanation:

we would like to factor out the following expression:

[tex] \displaystyle {50x}^{2} + 485x - 150[/tex]

notice that, in every term there's a common factor of 5 thus factor it out:

[tex] \displaystyle 5( {10x}^{2} + 97x - 30)[/tex]

now we have to rewrite the middle term as sum or substraction of two different terms in that case 100x-3x can be considered:

[tex] \displaystyle 5( {10x}^{2} + 100 - 3x - 30)[/tex]

factor out 10x:

[tex] \displaystyle 5( 10({x}^{2} + 10)- 3x - 30)[/tex]

factor out -3:

[tex] \displaystyle \rm 5( 10x({x}^{} + 10)- 3(x + 10))[/tex]

group:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

and we are done!

hence,

our answer is B)

Answer:

Number one is 48 ft and number two is 92 in.

Answer:

There are 144 Php 5-coins, 72 Php 10-coins and 130 Php-1 coins

Step-by-step explanation:

The amount of the coins in the coin bank = Php 1,570

The number of Php 5-coins = 2 × The number of Php 10-coins

The number of Php 5 coins = The number of Php 1-coins + 14

Let 'x' represent the number of Php-5 coins, let 'y' represent the number of Php 10-coins, and let 'z' represent the number of Php 1-coins, we get;

x = 2 × y...(1)

x = z + 14...(2)

5·x + 10·y + z = 1,570...(3)

From equation (1) equation (2), and equation three, we have;

y = x/2

z = x - 14

5·x + 10·x/2 + x - 14 = 1,570

11·x - 14 = 1,570

x = (1,570 + 14)/11 = 144

The number of Php 5-coins, x = 144

y = x/2

∴ y = 144/2 = 72

The number of Php 10-coins, y = 72

z = x - 14

∴ z = 144 - 14 = 130

The number of Php 1-coins, z = 130

Answer: well 2/3 of 1650 is 1100 so 1650-1100=550, so the cooper family spend $1100 and the reynolds family spent $550

Step-by-step explanation: i think that’s right

The Pythagorean Theorem works only with right angle triangles. There are three sides: Side A, Side B, and the hypotenuse.

The formula for the Pythagorean Theorem is: a^2 + b^2 = c^2

To find the answer (without the exponent), you should find the square root.

Now that we have the formula, let's apply it to a triangle:

90^2 + 95^2 = c^2 =

8100 + 9025 = 17125

Square root = 130.86252328302

130.86252328302 is the exact measure of the hypotenuse.

I hope this helped!

Please mark brainliest :)

Have an amaing day!

Answer:

[tex] \tan(60 \degree) = \frac{21}{y} \\ y = \frac{21}{ \tan(60 \degree) } \\ y = 12.124 \\ = 7 \sqrt{3} [/tex]

Answer:

1 Use this rule: a-b=-(b-a)a−b=−(b−a).

-(16-2)

−(16−2)

2 Use the algorithm method.

1 6

- 2

1 4

3 After simplification, we have:

-(16-2)=-14

−(16−2)=−14

4 Therefore, 2-16=-142−16=−14.

-14

−14

for the second one

1 Collect like terms.

7x+(2+12)

7x+(2+12)

2 Simplify.

7x+14

7x+14

Answer:

pizzeria1

Step-by-step explanation:

Given data

pizzeria1

Diameter=16in

Radius= 16/2= 8in

Area= πr^2

Area= 3.132*8^2

Area= 201.09 in^2

pizzeria2

Diameter=15in

Radius= 15/2= 7.5in

Area= πr^2

Area= 3.132*7.5^2

Area= 176.74n^2

Answer:

A. 92

Step-by-step explanation:

90 × 6 = 540

92 + 84 + 86 + 94 = 356

540 - 356 = 184

184/2 = 92

Step-by-step explanation:

cutie I don't see anything

Answer: 13.5

Step-by-step explanation:

54/4 = 13.5

13.5 x 4 = 54

Step-by-step explanation:

rocket : 26 mpg

Glimmer : 484/18 = 26.89 mpg

cambria : 392/16 = 24.5 mpg

Avenger : 60/2 = 30 mpg

a. Avenger, has the highest mileage

b. cambria, has the lowest mileage

c. Avenger,Glimmer, rocket, cambria

Answer: (-1,3) ; (-2,6)

Step-by-step explanation:

The solution would be where the two graphs intersect or touch (where the line and the parabola intersect or touch).

Look at the two dots on the plane, where the line and parabola intersect--those are the answers.

Answer:

No

Step-by-step explanation:

Given :-

And we need to tell whether it is a right angled triangle or not . It will be a right angled triangle if it follows the Pythagoras Theorem.

Pythagoras Theorem :-

Here the two smallest sides are 4 & 6 .

Sum of Squares of 4 and 6 :-

[tex]:\implies[/tex] 4² + 6²

[tex]:\implies[/tex] 24 + 36

[tex]:\implies[/tex] 60

Square of 7 :-

[tex]:\implies[/tex] 7²

[tex]:\implies[/tex] 49

And :-

Hence the triangle is not a right angle triangle.

Answer:

No, this triangle is not a right triangle.

Step-by-step explanation:

Step 1: Definition(s)/explanations

Formula:

[tex]pt-a^2+b^2=c^2[/tex]

[tex]legs=a,b[/tex]

[tex]hypotenuse=c[/tex]

Step 2: Solve.

Now, I just plug the numbers into the formula.

[tex]a^2+b^2=c^2[/tex]

[tex]4^2+6^2=7^2[/tex]

[tex]16+36\neq 49[/tex]

If the legs of the triangle do not equal the hypotenuse, then the triangle cannot be a right triangle.

Step 3: Conclude.

Therefore, the triangle cannot be a right triangle.

Answer:

9.2

Step-by-step explanation:

lol

Answer:

14

Step-by-step explanation:

this is a 45-45-90 (we can tell because the value of each side is equal, hence the equal angles).

this, we know in a 45-45-90 the sides are x and the of sqrt(2)x. For the sides, we just have to remove the sqrt(2) as a result.

Hope this helps! :)

Answer:

D. Acute

Step-by-step explanation:

Acute because both <A and <B are less then 90 degrees

Hope this helps :).

Answer:

Option A

Step-by-step explanation:

Given :-

We need to find the relationship between a and b. Also we know that the measure of angle of straight line is 180 ° .

According to Question :-

[tex]:\implies[/tex] a + b + 90° = 180°

[tex]:\implies[/tex] a + b = 180° - 90°

[tex]:\implies[/tex] a + b = 90°

Answer:

x=4

Step-by-step explanation:

(5+x)(10+x)=126

50+5x+10x+x^2 = 126

x^2 + 15x +50=126

x^2 + 15x - 76 = 0

(x+19)(x-4) = 0

X=-19, 4

X=-19 is not possible

x=4

Answer:

1,931.99$ is the answer

Answer:

Start at origin (0,0)

Move 1/2 units left

Move 1 and 1/2 units down

Place your point

Step-by-step explanation:

Start at the origin (0,0)

Move 1/2 units to the left

Then move 1 1/2 units down, and place your point.

The first coordinate is locating the position horizontally, or on the x axis

The second coordinate is locating the position vertically, or on the y axis.

If there is a negative number on the x coordinate, the first one, you move left.

If positive, you move right.

If there is a negative number on the y coordinate, the second one, you move down.

If positive, you move up.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

move toward left of the horizontal x axis then plot the point in between o and -1.For next point then move down the vertical y axis and plot the point in between -1 and -2 .

Step-by-step explanation:

Hope this helps u!!

Answer:

follow the steps

divide

times

minus

bring down

Answer:

It can be hard to understand something especially if you comprehend stuff more differently then the person teaching you

Step-by-step explanation:

But I think doing your research and practicing should help.

Answer:

Step-by-step explanation:

How to Find Outliers Using the Interquartile Range(IQR)

Step 1: Find the IQR, Q1(25th percentile) and Q3(75th percentile). ...

Step 2: Multiply the IQR you found in Step 1 by 1.5: ...

Step 3: Add the amount you found in Step 2 to Q3 from Step 1: ...

Step 3: Subtract the amount you found in Step 2 from Q1 from Step 1:

Answer:

76 messages

Step-by-step explanation:

532 divided by 7 = 76

Answer:

76 Texts

Step-by-step explanation:

Amount of texts/Days = 532/7 = 76

Answer:

isosceles triangle, base 5 cm, height 8 cm

Step-by-step explanation:

----------

Answer:

0.26

Step-by-step explanation:

0.2 -> tenth

0.25 -> the 5 is the hundred place

0.257 -> the 7 is the thousand place.

Round the 7 and you get 0.26

Answer:

0.26

Step-by-step explanation:

To round 0.257 to the nearest hundreth, you'd have to look at the five and seven. Since seven is a higher number than four, you'd round the 5 up one, and get rid of the seven.

For further help I suggest this website:

https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals