Find the slope of the line

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: what is this?

Answer:

729 : 9 = 80 +1 is correct

Answer:

C

Step-by-step explanation:

Because [tex]y^{\circ}[/tex] and [tex]134^{\circ}[/tex] both lie on a straight line, they sum to [tex]180^{\circ}[/tex].

So, [tex]y+134=180[/tex].

We can subtract [tex]134[/tex] from both sides of the equation to get [tex]y=46[/tex].

So,  the answer is [tex]\boxed{C}[/tex] and we're done!

Answer:

ijjjjjjjhgd ghhhh gghh

1.2 1,4

Answer:

Area = 18×(6+9) + (11×9)

= (18×15) + 99

= 270 + 99

= 369m²

Perimeter = 2(18+11) + 2(15)

= 2(29) + 30

= 58 + 30

= 88m

Answer:

X=1

Step-by-step explanation:

If the ordered pair of the solution is (x,5), this means that y=5

With this information, we plug in 5 for y and solve for x

4x+3(5)=19

4x+15=19

4x=4

x=1

Answer:

4

Step-by-step explanation:

Answer:

4 cubic decimeters.

....

Answer:

the answer is B

Step-by-step explanation:

it's the right answer

Answer:

D) 1 11/12

Step-by-step explanation:

10 - 7 = 3 -15 + 8 = -7

3/4 - (-7/6) = 23/12 or 1 11/12

I hope this makes sense :)

I think it is helpful for you!!!!

Please make me brainliest..

Answer:

5c + d

putting value of c and d,

5 × 4 + 8

20 + 8

28

HOPE THIS HELPS YOU

HAVE A NICE DAY

Answer:

3. 3/2

4. -1/3

5. -3.5

6. -6and 2/3

7. -18and 13/24

8. 1/18

9.-2.6

10.-1.83

11. 14.963

Step-by-step explanation:

HOPE THIS HELPS, if not see me in the comments

BRANILIEST PLZZZ

Answer: 37.5 lb/wk

Step-by-step explanation:

Let X be the total amount of waste.  We are told that (2/5) of X is 15 lb/wk.

(2/5)X = 15 lb/wk

X = (5/2)*(15lb/wk)

X = (75/2) il/wk

X = 37.5 lb/wk

A person heart beats is 4.2 x 10∧7

there are 7,600,000,000= 7.6 x 10∧9

the heartbeats for all the people here on earth= 4.2 x 10∧7 x 7.6 x 10∧9

choosing like terms

4.2 ×7.6×10∧7×10∧9

31.92x10∧(7+9)

31.92×10∧16

a=31.92

b=16

Answer:

[tex]3.192*10^1^7[/tex]

Step-by-step explanation:

To find this value, multiply the two values given:

4.2x10^7 = 4.2 x ( 10 x 10 x 10 x 10 x 10 x 10 x 10) = 42000000

42000000 x 7600000000 = 319200000000000000

Then convert 319200000000000000 into scientific notation:

319200000000000000 = 3.19200000000000000

Cut off all the zeroes and I moved the decimal 17 places to the left, so the exponent will be positive:

[tex]3.192*10^1^7[/tex]

Answer:

25x

Step-by-step explanation:

6x and 19x are like terms so we can add them

6x+19x = 25x

Answer:

Yes ! After 3.5 hours, it will be over half full !

Step-by-step explanation:

In the photo :)

Answer:

x+y²

x=6 y=-2

substitute

6+-2²

simplify

6+-4=2

answer= 2

The expression for the number of painted turtles in the pond will be 1/3f - 10.

Let the number of bullfrogs be represented by f.

From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:

= (1/3 × f) - 10

= 1/3f - 10

Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.

In conclusion, the correct option is 1/3f - 10.

Read related link on:

https://brainly.com/question/24950597

Answer:

The m is 16 so you do 2 x 16 which is 32 + 7

Step-by-step explanation:

16x2=32 + 7 = 39

Answer:

39

Step-by-step explanation:

whereas: m =16

n =7

2m+n

2×16+7

32+7

39

its 3333344455556999999999999

Answer:I think it’s 6.50x=117

After you solve, you should get 18 hours

Step-by-step explanation:

.......................

Answer:

Where's the diagram?

Step-by-step explanation:

Answer:

=15

Step-by-step explanation:

45-x% *45=38.25

(-45) x/100=38.5-45

(-45)x/100=(-6.75)

x=6.75 * 100/45

=15

The percent of the discount is 15.

It is required to find the percent of the discount.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

Let the discount percent be x%

When the price of $45 is reduced by x%, we get $38.25.

So,

45 − x % ∗ 45 = 38.25

− 45 x /100 = 38.25 − 45

− 45 x /100 = − 6.75

x = 6.75 ∗ 100 /45

x= 15

Therefore, the percent of the discount is 15.

Learn more about percentage here:

brainly.com/question/24999508

#SPJ2

Answer:

13 dollars an hour.

Step-by-step explanation:

65/5 = 13

total/time = constant of variation

Answer:

120 cans of soda were sold

Step-by-step explanation:

Sally's Soda company makes $1.20 for each can of soda sold out of a machine. If the company makes $144, how many

cans of soda were sold?

144 ÷ 1.20 = cans sold

144 ÷ 1.20 = 120

check your work

120 x 1.20 = 144

Answer:

A:4

Step-by-step explanation:

3/4 divided by 3/16

3/4 times 16/3

reduce

4

Answer: 4

Step-by-step explanation: do the brackets first. which is (1/2 * 3/8) to multiply these two together multiply numerator by numerator and denominator by denominator. Or, top * top / bottom * bottom

so we'd do 1*2 / 3*8. so it would give you 3/16.

now all we have left to do is divide 3/4 by 3/16.

to do this you can multiply by the reciprocal of the second value(3/16 will become 16/3)

now we have [tex]\frac{3}{4}[/tex] * [tex]\frac{16}{3}[/tex]  you can cancel out each 3 to give you 1/4 * 16/1

and you can also divide both 16 and 4 by 4 (16/4=4)

this gives you a final equation of 1 * 4 for a final answer of 4

Answer:

2x + 3y = 6

Step-by-step explanation:

The equation of a line in slope- intercept fprm is

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

Given

2x + 3y = 5 ( subtract 2x from both sides )

3y = - 2x + 5 ( divide terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes, then

y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - [tex]\frac{2}{3}[/tex] x + 3 ( multiply through by 3 to clear the fraction )

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← equation of parallel line