Please help me with number 11

Step-by-step explanation:

x + y = 12

x × y = -360

we need to transform one equation into an identity of one variable being expressed by the other variable.

e.g. the first equation gives us

x = -y + 12

and then we use that in the second equation :

(-y + 12) × y = -360

-y² + 12y = -360

y² - 12y - 360 = 0

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = y

a = 1

b = -12

c = -360

y = (12 ± sqrt(144 - 4×1×-360))/2 =

= (12 ± sqrt(144 + 1440))/2 = (12 ± sqrt(1584))/2 =

= 6 ± sqrt(1584/4) = 6 ± sqrt(396) = 6 ± sqrt(36×11) =

= 6 ± 6×sqrt(11)

y1 = 6 + 6×sqrt(11) = 25.89974874...

y2 = 6 - 6×sqrt(11) = -13.89974874...

x1 = -y1 + 12 = -13.89974874...

x2 = -y2 + 12 = 25.89974874...

so, we see, they are interchangeable.

the solution is either

x = 25.89974874...

and

y = -13.89974874...

or

x = -13.89974874...

and

y = 25.89974874...

Answer:

  (d)  219.80 ft

Step-by-step explanation:

The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(20°) = (80 ft)/(distance to sculpture)

This rearranges to ...

  distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft

Answer:

(2x−1)(x+4)

Step-by-step explanation:

2x2+7x−4=(2x−1)(x+4)

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Explanation using mental math:

He uses 11.5 cherries for his pie, which is half the amount left (after eating those 7 cherries).

This means 2*11.5 = 23 cherries were left over after he ate those seven. In other words, half of 23 is 11.5

If we reverse time, then we get those 7 cherries back to get 7+23 = 30 cherries total. Divide those up equally between the two bags and we get 30/2 = 15 cherries per bag.

Going forward in time we have 15 cherries per bag, so 2*15 = 30 total. He eats 7 to be left with 30-7 = 23 cherries. That cuts in half to 23/2 = 11.5 cherries for his pie.

---------------

Explanation using algebra

c = number of cherries in each bag.

10 < c < 30 based on the second sentence

2c = number of cherries total from both bags combined

2c-7 = the amount left after Chris eats those 7 cherries

(2c-7)/2 = he uses half of the remaining cherries for the pie

Set that equal to the 11.5 number stated and solve for c.

(2c-7)/2 = 11.5

2c-7 = 11.5*2

2c-7 = 23

2c = 23+7

2c = 30

c = 30/2

c = 15

We effectively follow similar steps as when we did the mental math route.

Notice how c = 15 makes 10 < c < 30 true.

Answer:

52-2=50-1=49-1=48/4=12/4=3

answer: 1 out of 4 chances to draw a queen

Step-by-step explanation:

Answer:

15 is the slope, it means you make $15 an hour

Step-by-step explanation:

$15 is found as the slope (see attachment), and because it's rise over run (15/1) then that is making $15 for every one hour worked.

Answer:

y=mx+b

Step-by-step explanation:

y-y1=m(x-x1) is point slope form

Answer:

y=mx+b

Step-by-step explanation:

Slope-intercept form is commonly referred to as "y=mx+b form", which can be remembered because m=slope and b=y-intercept. Hope that helps :)

Answer:

use distribution and multiply by the variable of x

i am your teacher and i knew youd ask this question so i got on here i knew i could catch you, i want you in the principals office tommorrow after my class, understood?

Step-by-step explanation:

Answer:

Hey! I hope this helps. I used ratio, I divided $28.50 by 2 to find out how much she worked for in an hour then I multiplied by 15.

Answer: Choice D and Choice E

Explanation:

Subtract 3 from both sides

x+3 > 70

x+3-3 > 70-3

x+0 > 67

x > 67

Any number larger than 67 will make the original inequality to be true.

Unfortunately, only E) 70 fits the description.

D) 67 won't work since 67 > 67 is false.

However, I have a feeling that the original inequality might be [tex]x+3 \ge 70[/tex]. If so, then 67 would work because [tex]67\ge 67[/tex] is true.

So I'll assume that this is the inequality you meant to type out.

Answer:

1,000,000,000

Have a great day! :D

[tex] \frac{10 {}^{6} }{10 {}^{ - 3} } \\ {10}^{6 + 3} \\ {10}^{9} [/tex]

Answer:

D

Step-by-step explanation:

the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.

otherwise, we would have a "<=" ("smaller or equal") symbol.

let's start for the first limit to calculate without the absolute value :

-2 + (x - 3) < 7

-5 + x < 7

x < 12

the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :

-1×(-2 + (x - 3)) < 7

2 - (x - 3) < 7

2 - x + 3 < 7

-x + 5 < 7

-x < 2

x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).

The final temperature is original temp + original temp * temp increase

74+74*0.25=92.5

(another increase)

92.5+92.5*0.2=111

Final: 111degrees

Answer:

20%

Step-by-step explanation:

The percentage score for 3 out of 15 is 20.00%.

Let

ATQ

[tex]\\ \tt\hookrightarrow x+3x-17=527[/tex]

[tex]\\ \tt\hookrightarrow 4x-17=527[/tex]

[tex]\\ \tt\hookrightarrow 4x=544[/tex]

[tex]\\ \tt\hookrightarrow x=136[/tex]

Answer:

sorry I don't know

Step-by-step explanation:

you have no image I can't tell

Answer: 2

Step-by-step explanation:

Rectangles have 2 lines of symmetry. One of them is vertically down the middle, and the other one is horizontally down the middle lengthwise. However, you can not draw the 2 symmetry lines diagonally in a rectangle from each corner to the opposite corner. An image is attached for a reference/example of this.

I hope this helps!

Answer:

Step-by-step explanation:

In trapezoid JOKE, JO // EK

m∠J + m∠E = 180    {so-interior angles are supplementary }

m∠J +80 = 180

m∠J          = 180 - 80

m∠J = 100

m∠O + m∠K = 180   {Co-interior angles are supplementary}

m∠O + 50 = 180

      m∠O   = 180 -50

      m∠O = 130

Answer:

9.42 (sorry if im late)

Step-by-step explanation:

I believe that if you take the radius and multiply it by pi (3.14), you get the circumfrence

3.14 x 3 = 9.42

The area of a right triangle is the amount of space on it

The length of the base is 10 meters

The given parameters are:

Area = 15 square meters

Height = 3 meters

The area of the triangle is:

Area = 0.5 * Base * Height

So, we have:

15 = 0.5 * Base * 3

Divide both sides by 0.5

30 =  Base * 3

Divide both sides by 3

10 = Base

Rewrite as:

Base = 10

Hence, the length of the base is 10 meters

Read more about areas at:

https://brainly.com/question/24487155

Answer: 10 m

Step-by-step

Answer:

Geometric sequences have a common ratio between terms.  TRUE

hope it helped ;-;''

Answer:

Part A: 8.4 minutes per mile

Part B: 38 minutes

Explanation on Part B: (put it in your own context)

8.4 + 1.1 = 9.5 minutes per mile

As 9.5 * 4 = 38 minutes

Enjoy ;)

Answer:

Total Price with Tax: $ 605.72

Step-by-step explanation:

We can write an equation for the total cost of the bicycle as:

C=p+(t×p)

Where:

C is the total cost we are trying to calculate.

p is the list price - $556.98

t is the tax rate - 8.75%. "%" means "out of 100" or "per 100", Therefore 8.75% can be written as 8.75 [tex]\frac{x}{100}[/tex].

Substituting and solving for C gives:

C = $556.98([tex]\frac{8\\.75}{100}[/tex]×$556.98)

C = $556.98+$48.74

C = $605.72

Answer:

x=90

y=78

z=70

Now

or,90+78+70

or,238 answer.

Answer:

B

Step-by-step explanation:

Using the method of cross- multiplication

[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] ⇒ ad = bc

If ad ≠ bc then equation is not true

A

[tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex] , then

10 × 6 = 12 × 5 = 60 ← equation is true

B

[tex]\frac{69}{100}[/tex] = [tex]\frac{6}{10}[/tex] , then

69 × 10 = 690 and 100 × 6 = 600

690 ≠ 600 ← equation not true

C

[tex]\frac{10}{5}[/tex] = [tex]\frac{200}{100}[/tex] , then

10 × 100 = 5 × 200 = 1000 ← equation is true

D

[tex]\frac{12}{4}[/tex] = [tex]\frac{6}{2}[/tex] , then

12 × 2 = 4 × 6 = 24 ← equation is true

Hi!

I can help you with joy! :)

• Here, we need to determine if each equation is true by simplifying fractions.

• The 1st equation states that

10/12 = 5/6

Is it true?

Let’s simplify 10/12 to find out.

Divide 10 and 12 by 2:

5/6

Thus. The 1st equation is true.

How about the next one?

We have 3 options left.

69/100=6/10

Is that correct?

Nope!

Why?

If we simplify 69/100, we will not get 6/10.

In fact, 69/100 cannot be simplified.

Thus, the second equation is not true.

Now, how about Options C and D?

Well, both of these equations ARE true.

Thus, the second equation is not true.

Hope it helps.

Do ask if you have any query.

~Silent~

[tex]\implies2x = 74 \\ \implies \: x = \frac{74}{2} \\ \implies \: x = 37[/tex]

If you are wondering why 2x = 74 then, vertically opposite angles are always equal.

Answer:

In step by step

Step-by-step explanation:

Your mean is 190.

Your median is 180 because it is in middle.

Mode is also 180 because it appears most often

Range 205 because 300-95

Variance= without decimals/2346

Standard deviation without decimals /48

Hope it helps :}       have a great day!

Answer:

f(4) is 1/2

f(8) is 4

Step-by-step explanation:

Remember that the range is the output so when you have f(anything) that anything is the domain (x) and the =anything is the y value.