How to solve it out?

Answer:

[tex]x=\frac{27+\sqrt143i}{8}{} ,\frac{27-\sqrt{143i} }{8}[/tex]

[tex]y=-9+\frac{27+\sqrt{143} i}{4} ,-9+\frac{27-\sqrt{143} i}{4}[/tex]

Step-by-step explanation:

1) Solve for 2x - y = 9

A. Solve for y.

2x - y = 9

B. Subtract 2x from both sides.

-y = 9 - 2x

C. Multiply both sides by -1.

y = -9 + 2x

D. Regroup terms.

y = 2x - 9

2) Substitute y = 2x- 9 into 4x² + 3y² - 2x + y = 16

A. Start with the original equation.

4x² + 3y² - 2x + y = 16

B. Let y = 2x - 9.

4x² + 3(2x - 9)² - 2x + 2x - 9 = 16

C. Simplify.

16x² - 108x + 234 = 16

3) Solve for x in 16x² - 108x + 234 = 16

A. Solve for x.

16x² - 108x + 234 -= 16

B. Move all terms to one side.

16x² - 108x + 234 - 16 = 0

C. Simplify 16x² - 108x + 234 - 16 to 16 x² - 108x + 218

16 x² - 108x + 218 = 0

D. Use the Quadratic Formula.

[tex]x=\frac{108+4\sqrt{143}i }{32}[/tex], [tex]\frac{108-4\sqrt{143} i}{32}[/tex]

E. Simplify solutions.

[tex]x=\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143} i}{8}[/tex]

4) Substitute [tex]x=\frac{27+\sqrt{143}i }{8} ,\frac{27-\sqrt{143}i }{8}[/tex] into y = 2x - 9.

1) Start with the original equation.

y = 2x - 9

2) Let x = [tex]\frac{27+\sqrt{143} i}{8} ,\frac{27-\sqrt{143}i }{8} .[/tex]

[tex]y=2*\frac{27+\sqrt{143} i}{8} -9,2*\frac{27-\sqrt{143}i }{8} -9[/tex]

3) Simplify

[tex]y=-9+\frac{27+\sqrt{143}i }{4} ,-9+\frac{27-\sqrt{143i} }{4}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

251 divided by something has to equal to a number it will divide by...

2 3 = 2x 2 x 2 = 8

x

p 2 = pxp

251 divided by 25 x8

/49 x8

/100x8

/4x 8

so I would say  5

Answer:

x = 8 and y = 21

Step-by-step explanation:

3y + 27 = 90 so 3y = 90 -27 which is 63 and to get y you divide 63 by 3 to get 21

Angles on a straight line add up to 180 so 180 = x + 90 + 8x + 18

Then you minus 90 from 180 to get 90 = x + 8x + 18 which simplifies to 90 = 9x + 18

Then you minus 18 from 90to get 72 = 9x

Then divide 72 by 9 to get x = 8

Answer:

$9.68 per Hour, $11.72 per Hour.

Step-by-step explanation:

What you thought of..

10% of original pay wage = $0.80

Sofia's Pay Wage will be incremented by 10% of $8 every 6 Months.

Function:

Sofia's Pay Wage = e

Original Pay Wage = o

Increment = i

6 Months = t

e = o + ti

1 Year = 12 Months

$8 + ($0.80 x 2) = $9.60

In 1 Year, Sofia's Pay Wage will be $9.60 per Hour

$8 + ($0.80 x 4) = $11.20

In 2 Years, Sofia's Pay Wage will be $11.20 per Hour

What I Thought Of..

Sofia's Pay Wage will be incremented by 10% every 6 Months.

Function:

Sofia's Pay Wage = e

Original Pay Wage = o

Increment = i

6 Months = t

e = o + t(ei)

1 Year = 12 Months

($8 + {10% of Sofia's Pay Wage}) = $8.80

($8.80 + {10% of Sofia's Pay Wage}) = $9.68

In 1 Year, Sofia's Pay Wage will be $9.68 per Hour

($9.68 + {10% of Sofia's Pay Wage}) = $10.65

($10.65 + {10% of Sofia's Pay Wage}) = $11.72

In 2 Years, Sofia's Pay Wage will be $11.72 per Hour

Brainly? (I spent a while on this)

Answer:

18) 3

20) -65

22) 12/5

24) -5/2

Step-by-step explanation:

18)  f(-5) = -[2(-5)+1] / 3

= -(-10+1)/3

= -(-9)/3

= 3

20) f(7) = -9(7)-2

= -63-2

= -65

22) f(-1) = -[(12 · -1)]÷5

= -(-12)÷5

= 12/5 or 2 2/5

24) f(9) = 2/9(9) - 9/2

= 2 - 9/2

= 4/2 - 9/2

= -5/2 or -2 1/2

Answer:

No

Step-by-step explanation:

No, because s is less then 2. 7 is not less then 2.

‘Hope that helps! :)

Answer:

no

Step-by-step explanation:

s<2

s=7

7>2

Answer:

You can follow the image attached. (Although not 100% accurate, since it is roughly an estimate of where the values are.)

Basically, you will indicate with dots (or crosses) the points which fulfill the data in the table. In this case, the x-axis will be the average temp and the y-axis will be the date in april trees bloom.

For example, you can roughly estimate where 1.5 in the x-axis, and follow to find 28 in the y-axis for the first set of data, and continue this for all 8 points.

[tex]2x = \frac{x+2}{2} => 4x = x + 2 => 3x = 2 => x = 2/3[/tex]

ok done. Thank to me :>

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Explanation:

Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]

It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.

Answer:

The blue thing is 4 times smaller than the big thing.

Step-by-step explanation:

Answer:

  1/4

Step-by-step explanation:

The image/preimage scale factor can be found by considering the lengths of corresponding sides.

  Q'R'/QR = (4-2)/(16 -8) = 2/8 = 1/4

The scale factor is 1/4.

Answer:

The prime factors of 492 are 2, 3, 41.

Step-by-step explanation:

→ 492 = 2 × 2 × ? × ?

→ 492 = 2 × 2 × 3 × 41

Let's check,

→ 492 = (2 × 2) × (3 × 41)

→ 492 = 4 × 123

→ 492 = 492

→ LHS = RHS

Hence, prime factors of 492 are 2, 3, 41.

Answer:

x = 5

Step-by-step explanation:

11x - 20 = 4x + 15

Add 20 to both sides

11x = 4x + 15 + 20

11x = 4x + 35

Subtract 4x from both sides

11x - 4x = 35

7x = 35

Divide both sides by 7

x = 35/7

x = 5

Answer:

Step-by-step explanation:

Think about how this question is written out mathematically.

5/36−x=8

You’re looking for x.

When rewritten, we can move x to the right side for a positive x, then we can move 8 over to the left side for -8.

53/6−8=x

In simple fraction form 8=8/1

But here's where we've got a problem. The denominators aren’t alike… 6≠16≠1

In this case, multiplying 8/1 by 6/6 is the easiest way to get a common denominator for both, 6.

Multiply both the numerator (8) and denominator (1) by 6. So, now we have 48/6

Now that we have common denominators, we can subtract.

53/6 - 48/6

= 5/6

To check:

53/6 - 5/6 = 48/6

48/6 = 8

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

and y- intercept c = 3

Answer:

If he climbed 80 mountains in the span of 10 months then you should divide the 80 by 10 which makes it 8.. so I believe the correct answer is 8 mountains per month

Answer:

Jim climbed 8 mountains per month and 10 mountains in 1.

Step-by-step explanation:

This means that he can climb 8 times as many mountains in one year, whether that is within the next 9 months or not depends on how much time he has available to do it.

Answer:

=x+2x-5=25

=3x-5=25

=3x=30

Step-by-step explanation:

mark as brainliast

Answer:

10 cm

Step-by-step explanation:

Answer:

x = 33°

Step-by-step explanation:

x = angle

a complement of an angle =(90-x)

x = (90-x) - 24

x = 90 - x - 24

x = 66 -x

2x = 66

x = 33

Answer:

Step-by-step explanation:

1. 2x + 3y = 1,470

–2x –2x

3y = –2x + 1,470

3y/ 3 = –2x/3 + 1,470/3

y = –2x/3 + 490

The y-intercept of this equation is 490 and the slope is -2x/3.

2. I would graph this line by finding the y-intercept 490 first.

Then, you would move down twice from 490 to 488.

Finally, you would move to the right 3 times.

3. F(x) = –2x/3 + 490

The graph would represent the profit of Sal’s Sandwich Shop on every sandwich and wrap from the lunch specials last month.

50

If 10 is 20% of a number, we can multiply it by 5 to get the original number.

So 10 * 5 = 50, and 20% of 50 is 10.

I hope this helps! :)

Answer:

i think the first question is yes and the second one is no

Step-by-step explanation:

Answer:

not sure what that a) means but...

P = 300/8 = 150/4 = 75/2

Answer:

Answer: 19

Step-by-step Explanation:

P=x

x= 3 -(-8)(2)

x = 3 --16

(A negative plus a negative equal a

positive)

x= 19

Answer:

Simplify 1√26inindexform

Simplify √26.

Checking square roots, we see that 52 = 25 and 62 = 36.

Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

Answer:

0.00462962962

Step-by-step explanation:

Answer:

100:60

Step-by-step explanation:

$1 is equal to 100 cents

So we can compare it as 100:60

Hope this helps!

Answer:

5:3.

Step-by-step explanation:

That would be 1:0.60

= 100:60

= 5:3.

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sided of the triangle.

In an isosceles triangle, there are two equal sides and  a base.

Perimeter = ( 3x - 6) + (3x - 6) + x

            58 = 7x - 12

            58 + 12 = 7x

                   70  = 7x

                    [tex]\frac{70}{7} = \frac{7x}{7}[/tex]

                    10 = x