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 x^2 + 5x + 22 = 0

x = a + bi

(a+bi)^2 + 5(a+bi) + 22 = 0

a^2 - b^2 + 2abi + 5a + 5bi + 22 = 0

(a^2 - b^2 + 5a) + (2abi + 5bi) = -22

a^2 - b^2 + 5a = -22

2abi + 5bi = 0.

Can you solve it from here?

(Another method is to use the quadratic equation, as demestrated by ElectricPavlov here: https://web2.0calc.com/questions/help-me-plz-asap_1) 

=^._.^=

They bisect at half of AB. 

(24+3)/2 = 13.5

(7+4)/2 = 5.5

(13.5, 5.5) is the coordinate. 

13.5*2 - 4*5.5 = 5. 

I hope this helped. :))

=^._.^=

6.25 ≥ x < 6.35

6.25 ≤ x < 6.35

b-4 ≥ -1

b ≥ 3                   I think it is a   but there should be a solid dot at 3

x     + 2x-1     + x+5 = 180

x = 44

x+5 = 49 degrees

That is correct. Thank you.

we can use the Pythagorean theorem.

\(AB^2 = AC^2+CB^2\)

= \(21^2 = 14^2 + CB^2\)

= \(441 = 196 + CB^2\)

= \(245 = CB^2\)

= \(CB = \sqrt{245}\) 

~ \(15.65\)

hope this helped! please let me know if you are still confused 

for the first question (question 20):

you can simplify fractions by dividing the numerator and the denominator by the same number / term. 

first, i divided bc from both the numerator and the denominator, leaving me with a result of:

7b + 14 / 7

then, i divided 7 from both the numerator and the denominator -

b + 2 / 1.

so, your final simplified result is b + 2.

and similarily, for the next question (question 19), you can do the same thing.

first i divided t from both sides, resulting in:

4t + 4 / 2

then i divided both sides by 2 -

2t + 2 / 1.

your final result is 2t + 2, or 2(t + 1) - the third option.

as you get more proficient, you can simply simplify the fractions in one step (for example, dividing by 2t all at once instead of having to do it in two steps). 

hope this helped! please let me know if you are still confused 

using the distance formula: 

\(\sqrt{(4-(-3))^2+(-5-(-4))^2}\)

= \(\sqrt{49+1}\)

= \(\sqrt{50}\)

= \(5\sqrt{2}\)

hope this helped! please let me know if you are still confused :)

With. Your. Brain. 

Yes. Thank you so much.

Calculate  the distance  between  the points

Square  this  value.....that's your area....let me  know if you get stuck.....

Hint : I think you should  get  58 as answer

20sqrt (2)   =   sqrt (800)

Using  the  distance formula  we  have  that

( x - 7)^2  + (21 - 4)^2 =   (sqrt (800) )^2

( x - 7)^2  + 289  =800

(x  -7)^2  =  511     take both roots

x  - 7 =   sqrt (511)                  x  -   7 =   - sqrt (511)

x =  7 + sqrt (511)                  x =  7  - sqrt (511)

Sum of all possible  values of  x   =   14

4y2 + 34

3y2 + y + 34

4y2 + 14y + 34

4y4 + 34

Yes. That is correct. Thank you.

radius of circle  =  distance between  (-3, 4)  and  (9, -3)

radius of circle   =   \(\sqrt{(-3-9)^2+(4--3)^2}\)

radius of circle   =   \(\sqrt{193}\)

area of circle   =   pi * ( radius )2

area of circle   =   \(\pi\cdot(\sqrt{193})^2\)

area of circle   =   \(193\pi\)

math.

To solve this problem we can just multiply 4! and 5! with 3! (because they are adjacent)

3!*4!*5!=17280

The answer is 17280

Yay!

The value of x is 16.

2sin A  =  3cos A     rearrange  as

sin A  /  cos A   =  3  / 2                       {sin / cos  =  tan  }

tan A  =   3   /  2

n = nickels                              value = 5n

d= dimes = 22-n                     value = 10(22-n)      summed = 160

5n+10(22-n) = 160

-5n = -60

n = 12     the d = 22-n = 10

arc SV  =  2 *  measure of angle STV    = 2  * 42  =   84°

I was wondering too.... here is graphical solution for   5^x  +2 = 9^x

  x ~ .77367

The bisected apex  angle sets up the following relationship

(x + 20)  /  50   = (2x - 5)   / 70      cros-multipl

70 ( x + 20)   =  50 ( 2x  - 5)     simplify

70x  +  1400   = 100x  -  250

1400 + 250  =  100x  - 70x

1650  =  30x

x =  1650   / 30   =    55

KJ =  x + 20   =  55  +  20   =   75