find the sum and simplify

Answer:

[tex]6+ \sqrt{29},6-\sqrt{29}[/tex]

Step-by-step explanation:

The given quadratic equation is [tex]x^2-12x+7=0[/tex]

The general form of quadratic equation is given by :

[tex]ax^2+bx+c=0[/tex]

Comparing both the equations,

a = 1, b = -12 and c = 1

The solution of a quadratic equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Put all the values,

[tex]a=\dfrac{-(-12)\pm \sqrt{(-12)^2-4\times 1\times 7} }{2(1)}\\\\=\dfrac{12\pm \sqrt{116}}{2}\\\\=\dfrac{12\pm 2\sqrt{29}}{2}\\\\=6\pm \sqrt{29}[/tex]

So, the solutions of the given equation is [tex]6+ \sqrt{29},6-\sqrt{29}[/tex]. Hence, the correct option is (d).  

Answer:

7/2 or 3.5

Step-by-step explanation:

2X + 5 = 12

2X = 12 - 5 = 7

2X/2 = 7/2

X = 7/2

Answer:

2nd one

Step-by-step explanation:

(90 x 5) - 3 = 447

Answer:

x= -5 or x=4

Step-by-step explanation:

Lets first turn this into quadratic formula form

(-1 ±[tex]\sqrt{1^2-4*1*-20}[/tex]) / 2

(-1 ± 9 )/2

-10 / 2   =x or 8/2 =x

x= -5 or x=4

It was hard to type it in the comments hope this helped

Answer:

accounting=30, economics=15, only one=35

Step-by-step explanation:

a=2e

5 both

10 neither

40=a+e-5

45=a+e

45=2e+e

e=15

a=2e

a=30

f

Note: I don’t really like giving people answers. but i like them to learn. So i will teach you how to find a average of something, and using that method try to solve this problem

To find a average of something all you need to do is to add the numbers up and divide it by the total  is. As for example, pretend we have two bags, one with 5 marbles and the other one with 3 marbles. now you have to add them all up 5+3=8. Know we know the total numbers of marblas. So we know we have to bags right?l we divide 8 by 2 which is 4. i really hope you learned how to find the average of something. Hope this helps a lot!

Answer:

75

Step-by-step explanation:

don't know how to explain hope this helps

it would be 75

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Answer:

22 students are in the environmental club

Step-by-step explanation:

220 / 10 = 22

Answer:

22

Step-by-step explanation:

Answer:

1073 inches squared.

Step-by-step explanation:

To find how much paper is needed to cover the board, you have to find the area. The formula of area for rectangles is length times width or as you said in the question width times height.

To find the answer:

Area = length * width

Area = 29 * 37

Area = 1073 inches squared.

Don't forget to add the units!

Answer:

30ft

Step-by-step explanation:

AB² = AC²+BC²

AB² = 9²+12²

AB²= 225

AB= 15

SinA = 12/15

A = Sin-¹(0.8)

M`A = 53°

M`B = 90- A = 90-53= 37°

Answer:

AB = 15

m ∠A  = 53.1°

m ∠B  = 36.9°

Step-by-step explanation:

[tex]AB^2 = AC^2+CB^2 \\AB^2 = 9^2 + 12^2 = 81 + 144 = 225\\AB = \sqrt{225} = 15[/tex]

[tex]sin A = \frac{opposite}{hypotenuse} = \frac{12}{15}\\\\A = sin^{-1} (\frac{12}{15})\\\\[/tex]

A = 53.13

m∠A  = 53.1°

∠A + ∠B + ∠C = 180°

53.1 +∠B  + 90 = 180

∠B = 180 - 90 - 53.1 = 36.9°

Answer:

x = cost per pound of almond = $10.2

y = cost per pound of cashew = $12.4

Step-by-step explanation:

Let

x = cost per pound of almond

y = cost per pound of cashew

Magda:

6x + y = 73.60

Nicholas:

4x + 3y = 78.00

6x + y = 73.60 (1)

4x + 3y = 78.00 (2)

Multiply (1) by 3

18x + 3y = 220.8 (3)

4x + 3y = 78.00 (2)

Subtract (2) from (3) to eliminate y

18x - 4x = 220.8 - 78.00

14x = 142.8

x = 142.8 / 14

x = 10.2

Substitute x = 10.2 into (1)

6x + y = 73.60 (1)

6(10.2) + y = 73.60

61.2 + y = 73.60

y = 73.60 - 61.2

y = 12.4

x = cost per pound of almond = $10.2

y = cost per pound of cashew = $12.4

Answer:

69 need to be added

Step-by-step explanation:

1300 +69 = 1369

37 ²  = 1,369

square root of 1,369 is 37

Answer:

the correct answer is A, y=3.5x + 7

Answer:

9:20

Step-by-step explanation:

9 males

11 + 9 total people

9 : 20

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

377/3

Step-by-step explanation:

In general if we have a fraction ( mixed) as ,

[tex]a\dfrac{c}{d}[/tex]

Then the improper fraction will be ,

Improper fraction :-

[tex]\dfrac{ d\times a + c}{d} [/tex]

Using this concept we have ,

→ 125 ⅔

→ 125 × 3 + 2 / 3

→ 375 + 2/3

→ 377/3

Answer:

  -1

Step-by-step explanation:

You want the y-intercept of the line with slope -3 through point (2, -7).

The y-intercept can be found by solving the slope-intercept equation for b.

  y = mx +b

  b = y -mx

For the given point and slope, this is ...

  b = -7 -(-3)(2) = -7 +6 = -1

The y-intercept is -1.

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Answer:

18/6+5e^-0.6

Step-by-step explanation:

from there I simplified it can you do the rest?

Answer:

18cm

Step-by-step explanation:

Answer:

[tex]Let \ the \ 2 \ consecutive \ number \ be = n, (n+1)\\\\sum \ of \ the \ 2 \ consecutive \ numbers is 44\\\\That \ is, \\\\ n + (n+1) = 44\\\\ 2n + 1 = 44\\\\2n = 44 - 1 \\2n = 43\\n = 21.5 , 22.5[/tex]

But the numbers are not natural numbers.

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

I'm guessing that Liam doesn't want to buy a hat, so the inequality will be:

17x=80.

Answer:

CosB = 0.8

Step-by-step explanation:

We know

CosB = b/h

And given, b = 12 and h =15

Answer:

Area is measured in square kilometres

Step-by-step explanation:

Volume measures the space inside a 3-dimensional objects

Answer:

10 times

Step-by-step explanation:

distance covered once is equal to the perimeter of the square

perimeter of the square = 4 x length

4 x 30 = 120 ft

number of times = 1200 / 120 = 1-

The area of the rectangular garden is (56 + 7/20) ft^2

Remember that for a rectangle of length L and width W, the area is:

A = L*W

In this case, we have:

Length = (5 + 3/4)ft

Width = (9 + 4/5)ft

Taking the product we get:

A = (5 + 3/4)ft*(9 + 4/5)ft = 45ft^2 + 4ft^2 + 27/4ft^2 + 12/20 ft^2

                                        = 49ft^2 + 147/20 ft^2

                                        = 49ft^2 + 7ft^2 + 7/20ft^2

                                         = (56 + 7/20) ft^2

The area of the garden is (56 + 7/20) ft^2

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Answer:

I believe it is -2 1 minimum. I'm so sorry if it's wrong!

Answer:

15

Step-by-step explanation: