in the diagram, HE ||GF. Find DF

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9

x - 9 > - 10

x > - 10 + 9

x > - 1

Answer:

At that particular moment, the time and day could be written as: 12:34, 5/6/78.

Where as we can see numbers are in increasing order.

To divide mixed numbers like 3 1/2 and 2 1/4, first convert to improper fractions. In this case, 3 1/2 divided by 2 1/4 simplifies to 1 5/9.

To solve the problem of 3 1/2 divided by 2 1/4, you need to first convert each mixed number into an improper fraction.

3 1/2 becomes 7/2 and 2 1/4 becomes 9/4, because 3*2 + 1 = 7 (for the first number) and 2*4 + 1 = 9 (for the second number), the numerators of the fractions.

Next, in our division problem, we flip the second fraction (this is the reciprocal), and multiply it with the first. It's the same as multiplying by its inverse to divide fractions.

So, 7/2 divided by 9/4 becomes 7/2*
4/9 which equals 28/18, which can be simplified to 1 10/18 or further simplified to 1 5/9 in mixed number form.

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Answer:

-1/2 or x=2

Step-by-step explanation: The first step you need to do in getting your answer is factoring ,you will factor the left side of the equation first:

(2x+1)(x-2)=0

Next, you will set the factors to equal to "0":

2x+1=0  x-2=0

Then you'll proceed to solve the problem using the basic algebraic equation problem solving steps .When you do this you'll be left with answers of x=-1/2  and x=2

Answer: 5-6i

The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.

Answer:

5 -6i is also the root of  f(x).

Step-by-step explanation:

Given : If 5 + 6i is a root of the polynomial function f(x),

To find  : which of the following must also be a root of f(x).

Solution : We have given that 5+6i is the on of the root of polynomial function f(x).

It has two parts real and imaginary  part so , it is a complex number .

Real part  = 5  and 6i is imaginary part.

Complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of a + bi is a − bi.

a = 5 , b = 6.

Then by the complex conjugate defination , Another root would be 5 - 6i

Therefore, 5 -6i is also the root of  f(x).

Answer:

2,-3

Step-by-step explanation:

1.{(x, y): x = 2} we know x = 2

2.  {(x, y): y -3] we know y = -3

3. x,y = 2,-3

Answer:

3,4,1,2 is the order in which it goes in (go left to right)    :)

Step-by-step explanation:

Let's go:

[tex]\frac{32}{6x + 6} = \frac{24}{9x - 9} \\\\ 32.(9x - 9) = 24.(6x + 6) \\\ 288x - 288 = 144x + 144 \\\ 288x - 144x = 144 + 288 \\\ 144x = 432 \\\ x = 3[/tex]

I hope I helped you.

Answer:

Step-by-step explanation:

Use Angle bisector theorem (look at the picture)

[tex]\dfrac{24}{9x-9}=\dfrac{32}{6x+6}\qquad\text{cross multiply}\\\\24(6x+6)=32(9x-9)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(24)(6x)+(24)(6)=(32)(9x)+(32)(-9)\\\\114x+144=288x-288\qquad\text{subtract 144 from both sides}\\\\144x=288x-432\qquad\text{subtract}\ 288x\ \text{from both sides}\\\\-144x=-432\qquad\text{divide both sides by (-144)}\\\\x=3[/tex]

Answer:

1 3/5 miles per hour

Step-by-step explanation:

Distance = rate * time

We know the distance and the time

2/5 miles = rate * 1/4 hour

Divide by 1/4

2/5   ÷ 1/4 = rate * 1/4 ÷ 1/4

Copy dot flip

2/5 * 4/1 = rate

8/5 = rate

1  3/5 miles per hour is the rate

Answer:

48 times wider

Step-by-step explanation:

Convert length of train to inches:

[tex]72 * 12 = 864[/tex] inches

Divide the length of the train by the length of the model train to find the scale.

so, 864 ÷ 18 = 48

and since the model train is proportional to the train, the window on the train is 48 times wider than the window on the model.

Answer:

48

Step-by-step explanation:

Answer: Choice A -- f(x) = (1/3)*|x|

============================================

The input of a function is x and the output is y = f(x)

To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.

In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)

So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|

Answer:

A. If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.

Step-by-step explanation:

Answer: x = 5

You can pick any number you want, as long as it's not zero. The equation x = 5 has all points on this line that have an x coordinate of 5. The y coordinate can be anything you want

Example points on this line are: (5,1) and (5,2)

Note: this is a vertical line with the slope undefined. There is no y intercept. This is not a function because it fails the vertical line test.

Answer:

New Slope is -3

Step-by-step explanation:

First we will need to simplify the equation to make it easier. so since all numbers are divisible by 2 so instead of -6x-2y=12 the new equation will be -3x-y=6. then you are gonna solve for y and the answer is -y=3x+6. so then you will divide by -1 to make y positive. then Your Final Equation is y=-3x-6

Your new slope is -3

Answer:

$3.71 is your price after the tax.

Step-by-step explanation:

First, change the percentage into a decimal:

6% = 0.06

Multiply the decimal with the cost:

3.50 x 0.06 = 0.21

Add the number gotten to the original price:

3.50 + 0.21 = 3.71

$3.71 is your price after the tax.

~

Answer:

$3.71

Step-by-step explanation:

The tax = original price * tax rate

             = 3.5 * .06

             =.21

Add the tax to the original price to get the total cost

total cost = 3.5+.21

                  =3.71

The cost of the batteries is $3.71 after tax

Answer:

(4,1)

Step-by-step explanation:

3x+4y=16

-4x-3y=-19

I will solve this system by elimination.  I will eliminate x

Multiply the first equation by 4 and the second equation by 3

4 (3x+4y)=4*16

12x + 16y = 64

3 (-4x-3y)=3*-19

-12x -9y = -57

Add the two modified equations together to eliminate x

12x + 16y = 64

-12x -9y = -57

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

7y = 7

y=1

We still need to find x

3x+4y = 16

Substitute y=1

3x+4(1) = 16

3x+4=16

Subtract 4 from each side

3x = 16-4

3x =12

Divide each side by 3

3x/3 = 12/3

x=4

Answer:  The required solution is (x, y) = (4, 1).

Step-by-step explanation:  We are given to solve the following system of linear equations :

[tex]3x+4y=16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4x-3y=-19~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

We will be using the method of Elimination to solve the given system as follows :

Multiplying equation (i) by 4 and equation (ii) by 3, we have

[tex]4(3x+4y)=4\times16\\\\\Rightarrow 12x+16y=64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

and

[tex]3(-4x-3y)=-19\times3\\\\\Rightarrow -12x-9y=-57~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)[/tex]

Adding equations (iii) and (iv), we get

[tex](12x+16y)+(-12x-9y)=64+(-57)\\\\\Rightarrow 7y=7\\\\\Rightarrow y=\dfrac{7}{7}\\\\\Rightarrow y=1.[/tex]

Substituting the value of y in equation (i), we get

[tex]3x+4\times1=16\\\\\Rightarrow 3x+4=16\\\\\Rightarrow 3x=16-4\\\\\Rightarrow 3x=12\\\\\Rightarrow x=\dfrac{12}{3}\\\\\Rightarrow x=4.[/tex]

Thus, the required solution is (x, y) = (4, 1).

The height of the first copy is 20 cm, and the height of the second copy is 17 cm, after applying the percentages to each successive copy.

The subject of your question falls into the category of Mathematics, particularly in the domain of ratios and percentages. In order to answer your question, we must make a sequence of percentage calculations based on the original height of the photo.

Firstly, if the height of the first copy is 80% of the original photo's height, then the calculation should look like this: 0.80 * 25 cm = 20 cm. Therefore, the first copy's height is 20 cm.

Secondly, the height of the next copy is said to be 85% of the FIRST copy's height. Therefore, we proceed with a similar calculation: 0.85 * 20 cm = 17 cm. This implies that the height of the second copy is 17cm.

https://brainly.com/question/32012532

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Answer:

A and C

Step-by-step explanation:

It is certainly not D. She holds no hope for improvement, not really. She is sad that there has not been anything good happening and realistic enough to know that things are going from bad to worse.

C might be possible, but it doesn't really sound like she's blaming anyone, not in that passage.

B There's too much dispair in what  she is saying to believe that a miracle  will happen.

A would be my choice.

Three

Pinnacle means highest,not lowest. Answer C

Answer:

    =sqrt(2) /3

Step-by-step explanation:

sqrt(2/9)

We can split the sqrt(a/b) = sqrt(a)/ sqrt(b)

sqrt(2/9) = sqrt(2)/sqrt(9)

We know that the sqrt(9) is 3

              =sqrt(2) /3

Answer:2/9 but not the regular one

Step-by-step explanation:

Step-by-step explanation: So this one can be a little confusing, but I think I can help. You see if 'y'= number of feet and 'x'= number of meters then y=3.28x is a way for you to figure out how many feet are constant to every meter.

Look at it more like, Number of Feet= 3.28 times the number of meters.

If you want to figure out many feet are constant to let's say...2 meters, then you would replace the 'x' variable with 2 and multiply it by 3.28.

It would look something like this:

y=3.28(2)

y= 6.56

Thus, every 1 feet there are 6.56 meters, or 6.56 meters equals 1 foot.

Hope this helps a little, tell me if you need anymore help with this!

Answer:  9a + 6b - 21

Step-by-step explanation:

  3(3a + 2b - 7)

= 3(3a) + 3(2b) + 3(-7)

=   9a    +  6b    +   -21

Answer:

a(4) = 5 5/6

a(10) = 6 5/6

Step-by-step explanation:

To find the 4th term, let n =4

a(n) = 5 + (n + 1) 1/6

a(4) = 5 + (4+1) 1/6

        =5+5 * 1/6

         = 5 + 5/6

          = 5 5/6

To find the 10th term, let n =10

a(n) = 5 + (n + 1) 1/6

a(10) = 5 + (10+1) 1/6

        =5+11 * 1/6

         = 5 + 11/6

          = 5 + 1 5/6

         = 6 5/6

Answer:

$24.64

Step-by-step explanation:

30% off is equal to multiplying by 0.7

(32*0.7)*1.1

Sales tax increases the price and so you multiply by 1.1 (equal to increasing 10%)

32*0.7*1.1=24.64

He will pay $24.64 for the game.

Answer:

Draw and label the points where the circles with centers A and B intersect and where the circles with centers A and C intersect.

Step-by-step explanation:

Got it right on the test

Answer:

rail rise approximately 0.19 m above the ground

Step-by-step explanation:

as we know that

1m=100cm

and 1cm=[tex]\frac{1}{100}[/tex] m

similarly

19cm=[tex]\frac{19}{100}[/tex]m

19cm=0.19m

rail rise approximately 0.19 m above the ground

The calculated sagitta is approximately 0 meters, considering the very small expansion compared to the original length of the rail.

Assuming the rail forms an arc of a circle with the expansion, the rail's ends remain on the ground, and only the center rises.

Consider the original length of the rail as the chord of the circle, and the expanded length as the arc of the circle. The rise of the rail's center is the sagitta (height) of the arc. The length of the chord (C) is 2000 meters, and the expansion (e) is 0.19 meters (19 centimeters). The length of the arc (A) is C + e, which equals 2000.19 meters.

The formula for the sagitta when the arc is very close to the chord in length is given by:

Sagitta (s) ≈ (e² / (8 * C)) + (C² / (8 * A))

Plugging in the values:

s ≈ (0.19² / (8 * 2000)) + (2000² / (8 * 2000.19))

After calculation:

s ≈ 2.25 × 10⁻³ m + 250 m

s ≈ 250.00225 m

Since we are dealing with a very small expansion relative to the size of the rail, the sagitta (height increase of the center of the rail) is very close to 0 meters.

Answer:

Problem 1. (19/2)b + 15

Problem 2. 3/16

Step-by-step explanation:

Question number 1

5/8 (16b+24) -1/2b  =

= (5/8) * (16/1) * b + (5/8) * 24 - (1/2)b

= 10b + 15 - (1/2)b

= (20/2)b - (1/2)b + 15

= (19/2)b + 15

Question number 2

3/4 (16/64 + 12a) -9a =

= (3/4) * (16/64) + (3/4) * 12a - 9a

= (3 * 16)(4 * 64) + (3/4) * (12/1) * a - 9a

= (3 * 1)(4 * 4) + (3 * 12)/(4 * 1) * a - 9a

= 3/16 + (3 * 3)/(1 * 1) * a - 9a

= 3/16 + 9a - 9a

= 3/16

Question

Find the greatest common factor of these three expressions. 5v2 , 14v4 , and 35

Answer:

Step-by-step explanation:

assuming that 5v2 is 5², and 14v4 is 14^4

5² = 25

14^4 = 38416

35 = 35

The factors of 25 are: 1, 5, 25

The factors of 35 are: 1, 5, 7, 35

The factors of 38416 are: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2401, 2744, 4802, 5488, 9604, 19208, 38416

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

the greatest common factor is 1

Answer: whats the question

Step-by-step explanation:

Answer:

A. 3 possible combinations

B. 8 4-ounce's bags and 3 3-ounce's bags

C. 2 4-ounce's bags and 11 3-ounce's bags

D. 8 4-ounce's bags and 3 3-ounce's bags

E. All solutions offer the same revenue.

Step-by-step explanation:

You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy. Let x be the number of 4 ounce bags and y be the number of 3 ounce bags. Then

[tex]4x+3y=41.[/tex]

A. Find all integer solutions:

You get 3 possible combinations.

B. 1. 2 + 11 = 13,

2. 5 + 7 = 12,

3. 8 + 3 = 11.

The minimal number of bags is 11.

C. 1. 2·7+11·5=69 cents

2. 5·7+7·5=70 cents

3. 8·7+3·5=71 cents

The cheapest is 1st solution.

D. 1. 2·6+11·5=67 cents

2. 5·6+7·5=65 cents

3. 8·6+3·5=63 cents

The cheapest is 3rd solution.

E. 1. 2·2+11·1.50=$20.50

2. 5·2+7·1.50=$20.50

3. 8·2+3·1.50=$20.50

All solutions offer the same revenue.