2x² + y = 6
Pls help

Answer:

x = 1 ± 2i

Step-by-step explanation:

x² - 2x + 5 = 0 ( add 5 to both sides )

x² - 2x = - 5

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 5 + 1

(x - 1)² = - 4 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( add 1 to both sides )

x = 1 ± 2i ( that is the solutions are complex )

Answer:

[tex]x=1\pm2i[/tex]

or

[tex]x=1+2i[/tex]

[tex]x=1-2i[/tex]

Step-by-step explanation:

All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula: [tex]x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Quadratic formula gives two solutions, one when ± is addition add one when it is subtraction.

[tex]x^2-2x+5=0[/tex]

Equation is in standard form: [tex]ax^2+bx+c=0[/tex]

Substitute 1 from a, [tex]-2[/tex] for b, and [tex]5[/tex] for C in the quadratic formula, [tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\times \:1\times \:5}}{2}[/tex]

Multiply -4 × 5:

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:5}}{2}[/tex]

Add 4 + -20:

[tex]x=\frac{-\left(-2\right)\pm \:4i}{2}[/tex]

* the opposite of -2 is 2:

[tex]x=\frac{2\pm 4i}{2}[/tex]

Now, solve equation:

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

Divide 2 + 4i by 2:

[tex]x=1-2i[/tex]

_____________________________

Answer:

1. d=m/v

=57.6/112.9

=0.51018601

=0.510g/cm³(3s.f.)

2. m=d×v

=1.8×54

=97.2g

3. v=m/d

=63.8/12.7

=5.02362205

=5.02cm³(3s.f.)

4. v=length×breath×height

=12×2×6

=144m³

216g=0.216kg

d=m/v

=0.216/144

=0.0015kg/m³

Step-by-step explanation:

density=mass/volume

mass=density×volume

volume=mass/density

*make sure the units are correctly placed.

*g/cm³, kg/m³

Answer:

x_>_ -21

Step-by-step explanation:

that's the answer trust ........... n nnmmmm

Answer:

h = 2

Step-by-step explanation:

I'm assuming your periods are multiplication signs.

(h + h) X (h X h) = 16

When adding two variables like the first set of parentheses, it would become 2h.  When multiplying two like variables, you add the exponents.  h is the same as writing h¹.  So h¹ x h¹   gives you the answer of h².

So now your equation would look like:

2h  X  h²  = 16

As above, when you multiply two like variables you would add the exponents.  Also if any number are in front of the variable you would multiply those numbers.  So you have 2h¹ x 1h² and that would be 2h³.  If it had been

2h¹ x 2h², your answer would have been 4h³.

But so far you have 2h¹ x 1h² = 16

2h³ = 16

Dividing both sides by 2 you get

h³ = 8

To find h you have to take the cubed root of 8.  What number multiplied by itself 3 times gives you 8?    2 x 2 x 2 = 8     2 x 2 = 4 and x 2 = 8.

h = 2

If you put this into the original equation you have:

(2 + 2) x ( 2 x 2) = 16

 ( 4 ) x ( 4 ) = 16

Answer:

(1) -1

(2) -1/3 or -1.333333333333333333333333333333333333to infinity

Answer:

(-5,7) and (1,1)

Slope=-1

(2,6) and (8,4)

Slope=-2/6

Answer:

16

Step-by-step explanation:

Answer:

i don't know if you still need the answer but if you do i will help you

Step-by-step explanation:

Answer:

a natural number

Step-by-step explanation:

0/7=0

and then '0' is included in natural numbers from, 0,1,2,3,4,.........

Answer:

12 mmm

Step-by-step explanation:

Answer:

8 or -8

Step-by-step explanation:

Lets just say their net results equals x so -10+2=x

-10+2=-8 which i think you would take off the negitave and it would be an 8 I'm not sure sorry:(

Sorry I couldn't help

Answer:

18p + 14

Step-by-step explanation:

6

(

3

+

2

)

+

2

{\color{#c92786}{6(3p+2)}}+2

6(3p+2)+2

1

8

+

1

2

+

2

Answer:

37/2

Step-by-step explanation:

since its a repeating 36 would become a 37 and the 2 would become the denominator

Answer:

A

Step-by-step explanation:

Since slope is rise over run:

The slope of KM would be [tex]\frac{KL}{LM}[/tex] and the slope of PS would be [tex]\frac{PR}{RS}[/tex]

So [tex]\frac{KL}{LM}[/tex] = [tex]\frac{PR}{RS}[/tex]

Answer:

It MAY be 1/30

Step-by-step explanation:

Answer:

5^4-3

5¹

by law

a^m÷a^n= a^m-n

Answer:

1. 1/10 2. 10/1

Step-by-step explanation:

3/30 divide by lcm.

lcm=3

1/10

30/3 divide by LCM.

LCM=3

10/1

Answer: 281.20

Step-by-step explanation:

12,795-795=3515

take 8 percent of that and you get 281.20

Answer:

60%

Step-by-step explanation:

The first step is to divide 27 by 45 to get the answer in decimal form:

27 / 45 = 0.6000

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.6000 * 100 = 60.00%

60

Step-by-step explanation:

If you take 45 percent of a number and get 27, then what is that number? In other words, you know that 45 percent of a number is 27 and you want to know what that initial number is.

To solve this problem you multiply 27 by 100 and then divide the total by 45 as follows: (27 x 100) / 45

When we put that into our calculator, we get the following answer:

60

Therefore, the answer to "27 is 45 percent of what number?" is 60, and you can also derive that 45 percent of 60 equals 27.

Hope it helps

Have a good day!

Answer:

Step-by-step explanation:

If this is an AP, the common difference is:

The next two terms are:

In the arithmetic sequence :

The next 2 term of the arithmetic sequence is:

15 , 21

A sequence in which the difference between all pairs of consecutive numbers is equal is called an arithmetic progression.

We have the following information available from the question is:

The first two numbers in a sequence are 3, 9.

We have to find the next 2 terms of the arithmetic sequence.

Now, According to the question:

The first two numbers in a sequence are 3, 9.

a1 = 3

d = 9 - 3 = 6

The next 2 term of the arithmetic sequence is:

9 + 6 = 15

15 + 6 = 21

Learn more about arithmetic sequence at:

https://brainly.com/question/34721740

#SPJ3

We have to find b

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto -1=\dfrac{-2}{3}(-3)+b[/tex]

[tex]\\ \sf\longmapsto -1=-2(-1)+b[/tex]

[tex]\\ \sf\longmapsto -1=2+b[/tex]

[tex]\\ \sf\longmapsto b=-3[/tex]

Now put in equation

[tex]\\ \sf\longmapsto y=\dfrac{-2}{3}x-3[/tex]

Option D

Answer:1/2 (1 over 2)

Step-by-step explanation:

Answer:

get it from some else pllease

Step-by-step explanation:

type this in

The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept form that represents the diver's depth over time.

Answer:

9/10

Step-by-step explanation:

I used a calculator ! :)

The range of function graphed above is :

Answer:

x^3+4x^2+5x+2

Step-by-step explanation:

Answer:

(51, 26) x-y=25 and so on

(47,33) 2x-3y=-5 and so on

(-17, -36) x-y=19 and so on

(-31, -56) 2x-y=-6 and so on

Step-by-step explanation:

For height of garden we can use Phytagoreaan Theorem :

h² = 25² - 7²

h² = 625 - 49

h² = 576

h = 16 m

Area

= 1/2 × base × height

= 1/2 × 14 m × 16 m

= 7 m × 16 m

= 112 m²

Yes, 13/19 is a rational number.

All fractionals are rational numbers, making this a rational number. Let me know if you have any questions, thanks!