Round 8,531.75 to the nearest 10.

Answer:

[tex]3+ 2\mathbf{i}[/tex]

[tex]3- 2\mathbf{i}[/tex]

Step-by-step explanation:

Quadratic Equation Solving

We have the equation:

[tex]8x^2-48x=-104[/tex]

Divide by 8:

[tex]x^2-6x=-13[/tex]

Now complete the squares so the left side is a perfect square of a binomial:

[tex]x^2-6x+9=-13+9=-4[/tex]

Factoring the perfect square:

[tex](x-3)^2=-4[/tex]

Taking the square root:

[tex]x-3=\sqrt{-4}[/tex]

The square root of a negative number is an imaginary number:

[tex]x-3=\pm 2\mathbf{i}[/tex]

Solving for x:

[tex]x=3\pm 2\mathbf{i}[/tex]

The solutions are:

[tex]3+ 2\mathbf{i}[/tex]

[tex]3- 2\mathbf{i}[/tex]

Answer:

Keep it simple: got this from above answer...

Answer:

Here's just the answers without all the work for easier reading.  

Step-by-step explanation:

First problem answer: x2 + -6 x = -13

Second problem answer: x2 – 6x + 9 = –13 + 9

Third problem answer: (x + -3)² = -4

Fourth problem answer: 3 + 2i

Step-by-step explanation:

9514 1404 393

Answer:

  17. True

  18. False

Step-by-step explanation:

A dilation will be an enlargement when the magnitude of the scale factor is greater than 1.

__

17. The magnitude of the scale factor is 1 2/3, a value greater than 1. The dilation is an enlargement (True).

__

18. The magnitude of the scale factor is 1/2, a value less than 1. The dilation is not an enlargement. The statement is False.

Step-by-step explanation:

50 feet is 600 inches

if on drawing it is 100 and in real life it is 600, then the scale is 100:600 or simply 1:6

Step-by-step explanation:

Here, you may download my answer key to that unit. I did try to section the one you need in that shortcut PDF, but scroll down to the one you need to look at if you can't find it at the top.

Answer:

x=19/2

x=- 13/2

Step-by-step explanation:

multiply both sides by                                                         2 |2x -3|+10=26

move constant (10 to the right and change sign                |2x-3|=26-10

subtract the numbers                                                           |2x-3|=16

use absolute value (rewrite the absolute value                  2x-3=16

equation as two separate  equations one (+) and (-)           2x-3= -16

2x-3=16    move constant to the right

2x=16+3   add the numbers  

2x=19   divide both sides by 2

x=19/2

same steps with with second one

2x-2= -16

2x= -16 +3 move constant to the right change sign and add

2x= -13             divide both sides by two

x= -13/2

The  |   | are not (   ) .  They have different meaning , absolute value brackets. ok :)

Answer:

Step-by-step explanation:

/

Answer:

x=y−6

Step-by-step explanation:

Answer:

x - y = -6

......

hope it helps!

Answer:

the opposite of what is in the parentheses so -(-6) would just be 6

Answer:

11r + 2

Step-by-step explanation:

I combined liked terms which are the r's, then left the 2 alone because you cant combine it with any other number.

Because ,

The given figure is parallelogram and as we know that , a parallelogram has two congruent triangles . Now by the given figure the pair two sides are equal and a opposite angle is equal . So we can say the the two triangles are congruent by SAS congruency .

The percentage of the T-shirt that are yellow will be 20%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A T-shirt vendor sells yellow shirts and blue Shirts at a ratio of 1: 4.

The ratio of the yellow T-shirt is given as,

Yellow ratio = 1 / (4 + 1)

Yellow ratio = 1 / 5

Then the percentage of the T-shirt that are yellow will be given as,

P = [1/5] x 100

P = 0.20 x 100

P = 20%

The percentage of the T-shirt that are yellow will be 20%.

More about the percentage link is given below.

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Answer:

300kg

Step-by-step explanation:

240(25/100)

240(.25) = 60

25% of 240 = 60, so add that 60 to get an extra 25% for this month

240 + 60 = 300

The equation has infinite solutions which lie on the graph of this equation.

We have the following equation -

y = 8 - 2x

We have to solve for the possible values of x and y for which the equation is satisfied.

The rearrangement of a mathematical equation is process of expressing a variable in a equation in terms of other variables, constants etc.

According to the question, we have the following equation -

y = 8 - 2x

Rearranging the equation -

y = - 2x + 8

Now, plot the equation on graph - (Graph is attached at the end)

All the coordinates on this line satisfy the equation → y = 8 - 2x.

Hence, the equation has infinite solutions which lie on the graph of this equation.

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Answer:

y = - 3x + 4

Step-by-step explanation:

Line is passing through the points (1, 1) & (0, 4)

Slope of line = (4-1)/(0-1) = 3/(-1) = - 3

Equation of line

y = mx + b

Here m = - 3, b = 4

y = - 3x + 4

Using point (1, 1)

y - 1= - 3(x - 1)

y = - 3x +3 +1

y = - 3x + 4

Answer:

Option A, B, and C.

Step-by-step explanation:

Given, 6x ≥ 3 + 4(2x - 1),

Solve to find the correct representations given in the options.

6x ≥ 3 + 4(2x - 1)

Apply distributive property

6x ≥ 3 + 8x - 4 (option B is correct) ✅

Add like terms

6x ≥ -1 + 8x

Add 1 to both sides

6x + 1 ≥ 8x

Subtract 6x from each side

1 ≥ 8x - 6x

1 ≥ 2x (option A is correct) ✅

Divide both sides by 2

1/2 ≥ 2x/2

½ ≥ x

½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.

This make option C correct.✅

Answer:

x = -5

Step-by-step explanation:

First distribute the 5 on the right side of the equation.

10x - 35 = 15x - 10

Then subtract 10x on each side

-35 = 5x - 10

Then add 10 on each side

-25 = 5x

Divide 5 on each side to get x

-25 / 5 = -5

I hope this helps! :)

Answer:

[tex]\sf x=-5[/tex]

Step-by-step explanation:

[tex]\sf 5(2x-7)=15x-10\\10x-35=15x-10\\10x-35+35=15x-10+35\\10x=15x+25\\10x-15x=15x+25-15x\\-5x=25\\\cfrac{-5x}{-5}=\cfrac{25}{-5}\\x=-5[/tex]

Answer:

you have to be more detail?

Step-by-step explanation:

Answer:

The measurement of angle JKL is x

Step-by-step explanation:

The angle bisector of KE tells you that the two angles on either side of that line are equal.

If we take the measurement of the big angle and subtract out the little angle that we know, we will find the measurement of the angle we are looking for.

4x + 6 - (3x +6)

4x + 6 - 3x -6

x

Answer:

142

Step-by-step explanation:

start with 200, add 1 then subtract 32, minus 27 again

200 + 1 -32- 27+ 142

Answer:

141

Step-by-step explanation:

Answer:

y[tex]\geq[/tex]-1

Step-by-step explanation:

4y+8+8[tex]\geq[/tex]12

4y  [tex]\geq[/tex]-4

y[tex]\geq[/tex]-1

Answer:

r=5

Step-by-step explanation:

1.simplify both sides of the equation.

2.substract 2r from both sides.

3.substract 12 from both sides.

4.multiply both sides by 5/(11)

5. your answer will be 5.

r=5

Answer: I don't see anything. Maybe upload some images?

Step-by-step explanation:

Answer:

75a

Step-by-step explanation:

2(vas)

2(35a)

75a

Hope this helps plz hit the crown :D

Answer:

2x+5<10

Step-by-step explanation:

please mark as brainliest

Answer:

1. B

2. G

3. A

For question 3:

Its closed circle. go to the right

The first , second and third sequence is arithmetic and the fourth sequence is geometric.

A sequence is a series of numbers such that each number follows a very specific rule or explicit function which determines its value. There are numerous types of sequence and series . But for this particular question we will need to know :

Let us now take each series of numbers and find the type of sequence it is:

sequence 1: 2, 4, 6, 8, 10

Common difference = 10-8 = 6-4 =2

So the sequence is arithmetic.

sequence 2: 5, 7, 9, 11, 13

Common difference = 13-11 = 7-5 =2

So the sequence is arithmetic.

sequence 3: 50, 25, 0, -25, -50

Common difference = 50-25 = - 25 - ( - 50) = 25

So the sequence is arithmetic.

sequence 2: 5, 7, 9, 11, 13

Common difference = 13-11 = 7 - 5 =2

So the sequence is arithmetic.

sequence 2: 1/3, 1, 3, 9, 27

Common ratio = 3 ÷ 1 = 27 ÷ 9 = 3

So the sequence is geometric.

To learn more about sequence visit:

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Answer: 24 students

Step-by-step explanation:

Answer:

radius=9cm

diameter=18cm

Step-by-step explanation:

Answer:

Radius = 9cm

Diameter = 18cm

Step-by-step explanation:

Remember that the diameter of a circle is the distance between two opposite sides (crossing the middle), and the radius is half of that - the distance from the middle to the outside.

the image shows that the diameter is 18cm, so we know that the radius is 18cm/2, which equals  9cm.

Answer:

Y= x+15

X intercept is 15

I gallon per hour

Initial amount of gas was 15

At hour 15 tank was empty

Step-by-step explanation: