Explain what the vertical line test is and how it is used.​

Answer:

Answer : 21 - 20i

Step-by-step explanation:

[tex] {(2 - i)}^{4} = (2 - i) {}^{2} (2 - i) {}^{2} \\ \\ = (4 - 2i - {i}^{2} )(4 - 2i - {i}^{2} )[/tex]

remember i² is -1 :

[tex] = (4 - 2i - ( - 1))(4 - 2i - ( - 1)) \\ = (5 - 2i)(5 - 2i) \\ \\ = (25 - 20i + 4 {i}^{2} ) \\ = (25 - 20i + 4( - 1)) \\ = (25 - 20i - 4) \\ = 21 - 20i[/tex]

Answer:

8 - 4i

Step-by-step explanation:

(2- i)4

= (2 × 4 - 4 × i)

= 8 - 4i

9514 1404 393

Answer:

  15 ft below the top of the water

Step-by-step explanation:

We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:

  -12 +(-3) = -15

The depth of Jesse's hook now is 15 feet below the water surface.

Answer:

I know the first one is 6, since there's 6 sides

The second one should be Plane BDHF, since those two are exactly the same

Don't know the third one

The fourth should be segments AC, EG, and FH since they're all the same

Answer:

Slope=2.5

Step-by-step explanation:

5x-2y=-4

-2y=-5x-4

y=2.5x+2

Step-by-step explanation:

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Answer:

The short run or long run process by which a firm determines the price and output level that returns the greatest profit.

Answer:

Ans is D

In the figure, you are given that the radius is 10 inch. So, diameter will be 10*2= 20 inch.

Now,

C=πd

= 3.14*20 inch

=62.8 inch

Answer:

= 14/3

Step-by-step explanation:

add 3  to both sides of the equation

Answer:1/10

Step-by-step explanation:

This word problem is a simple division. You have a total of 1/2 pan of brownies and you want to split to 5 friends.

Hence, (1/2)/5=1/(2*5)=1/10

Answer:

46

Step-by-step explanation:

180-70=110

now we can take a guess on the other two. What two numbers added up make 110 and are 18 apart? 46 and 64 have 4 and 6. That makes 10. So now I know that the first and second angles are 46 and 64. According to the question, the first angle is smaller. So the first angle is 46.

Answer:

first angle = 46 and the second angle = 64

Step-by-step explanation:

(x,x-18,70)

x+x-18+70=180

2x+52=180

2x=180-52

2x=128

x=64

(x+x-18+70) since x is 64 replace;

x=64

x-18= 64-18= 46

Answer:

h = 5

Step-by-step explanation:

area = 1/2 base × hight

base = 3 +h

hight =9 + 6 = 15

60 = 1/2 × 15 × (3+h)

120/15 = 3 + h

8 = 3 + h

h = 5

Answer:

h = 5

Step-by-step explanation:

The value of h can be obtained by using area of triangle formula as well as distance formula.

[tex]A(\triangle ABC) =\frac{1}{2} \times AB\times AC \\ \\ 60 = \frac{1}{2} \times \sqrt{ {( - 3 + 3)}^{2} + (9 + 6) ^{2} } \\ \times \sqrt{ {(h + 3)}^{2} + {(9 - 9)}^{2} } \\ \\ 60 \times 2= \sqrt{ {( - 0)}^{2} + (15) ^{2} } \\ \times \sqrt{ {(h + 3)}^{2} + {(0)}^{2} } \\ \\ 120= \sqrt{ 0 + (15) ^{2} } \times \sqrt{ {(h + 3)}^{2} + 0 } \\ \\ 120= \sqrt{ (15) ^{2} } \times \sqrt{ {(h + 3)}^{2} } \\ \\ 120 = 15(h + 3) \\ \\ \frac{120}{15} = h + 3 \\ \\ 8 = h + 3 \\ \\ h = 8 - 3 \\ \\ h = 5[/tex]

Answer:

y = 1/2

Step-by-step explanation:

Y+3/5 = 1 1/10

Subtract 3/5 from both sides.

y = 1/2

Answer:

[tex] \frac{ \sqrt{2} }{4} [/tex]

Step-by-step explanation:

attached

Hello!

To solve this, you need to distribute and combine like terms.

Like terms are equivalent types of numbers for example;

2x and 3x are like terms, so if the equation said 2x - 5 + 3x, you would only combine 2x and 3x.

If the equation said 5 + 9 - x, you add the like terms, 5 + 9, and the simplification would be 14 - x.

Distribution is when you multiply the number outside the parenthesis into the parenthesis. for example, if an equation says, 5(x-2) = y, you would multiply 5 on the numbers x and -2, resulting in the equation, 5x - 10 = y.

--------Now lets work on your math problem.

Step 1, right the equation, 7(-9a-3)-2a7(−9a−3)−2a

Step 2: distribute numbers (remember multiplying)

7(-9a-3)-2a7(−9a−3)−2a

For the first distribution, 7(-9a-3)-2a7(−9a−3)−2a

you multiply 7 to the numbers in the parenthesis,

resulting in,

-63a - 21

Second distribution is, 7(-9a-3)-2a + 7(−9a−3)−2a

in which you multiply -7 into the numbers in the parenthesis resulting in;

-63a - 21

(did you type the equation twice if so, there are now two problems i need to solve.)

now add like terms -2a + -2a = -4a

-63a - 21 + -63a - 21 = -126a - 42

-126a - 4a - 42

Answer is -130a - 42.

If your equation was actually this, : 7(-9a-3)-2a

Then the answer would have been, -65a - 21

Answer:

graph

Step-by-step explanation:

Answer:

X=20º

Step-by-step explanation:

This is a vertical angle meaning both sides are congruent to each other.

Meaning: (x+100)º= 6x

Solve:

(x+100)º= 6x

-x              -x

100º=5x

/5 .     /5

x=20º

Answer:

9-5.   10  11.

Step-by-step explanation:

1. 99 = 33x + 3(3x + 5)

⇒99 = 33x + 9x + 15

⇒99 = 42x + 15

⇒99 - 15 = 42x

⇒84 = 42x

⇒42x = 84

⇒x = 84/42

⇒x = 2

2. 12z - (4z + 6) = 82

⇒12z - 4z - 6 = 82

⇒8z - 6 = 82

⇒8z = 82 + 6

⇒8z = 88

⇒ z = 88/8

⇒ z = 11

3. 2x + 3x = 62

⇒5x = 62

⇒ x = 62/5 or x = 12.4

4. 4n + 5 = 6n + 7

⇒4n - 6n = 7 - 5

⇒-2n = 2

⇒ n = -2/2

⇒ n = -1

5. 23m - 5 = 21m + 5

⇒23m - 21m = 5 + 5

⇒2m = 10

⇒ m = 10/2

⇒ m = 5

6. 3p - 8 = 13 - 4p

⇒3p + 4p = 13 + 8

⇒7p = 21

⇒ p = 21/7

⇒ p = 3

7. 17x - 3 + 17x + 8 = 175

⇒17x + 17x - 3 + 8 = 175

⇒34x + 5 = 175

⇒34x = 175 - 5

⇒34x = 170

⇒ x = 170/34

⇒ x = 5

8. ƒ + 41 + ƒ + 78 = 95

⇒ƒ + ƒ + 41 + 78 = 95

⇒2ƒ + 119 = 95

⇒2ƒ = 95 - 119

⇒2ƒ = -24

⇒ ƒ = -24/2

⇒ ƒ = -12

9. 3x + 18 + 93 = 180

⇒3x + 111 = 180

⇒3x = 180 - 111

⇒3x = 69

⇒ x = 69/3

⇒ x = 23

10. 6x + 2 + 40 = 90

⇒6x + 42 = 90

⇒6x = 90 - 42

⇒6x = 48

⇒ x = 48/6

⇒ x = 8

11. k + 37 + k + 67 + 90 = 180

⇒k + k + 37 + 67 + 90 = 180

⇒2k + 104 + 90 = 180

⇒2k + 194 = 180

⇒2k = 180 - 194

⇒2k = -14

⇒ k = -14/2

⇒ k = -7

12. 3w - 6 + 8w + 4 + 50 = 180

⇒3w + 8w - 6 + 4 + 50 = 180

⇒11w - 6 + 54 = 180

⇒11w + 48 = 180

⇒11w = 180 - 48

⇒11w = 132

⇒ w = 132/11

⇒ w = 12

13. 8 + 6x = 4x + 2 + 30

⇒6x - 4x = 2 + 30 - 8

⇒2x = 32 - 8

⇒2x = 24

⇒ x = 24/2

⇒ x = 12

14. 46 + 8h - 1 = 18h + 5

⇒ 46 - 1 - 5 = 18h - 8h

⇒ 46 - 6 = 10h

⇒ 40 = 10h

⇒ 10h = 40

⇒ h = 40/10

⇒ h = 4

15. 9x - 2 + 12x - 4 = 20x + 5

⇒ 9x + 12x - 20x = 5 + 2 + 4

⇒ 21x - 20x = 11

⇒ x = 11

The line AB is not a perpendicular bisector of CD.

Perpendicular bisectors are lines that divides another line into two equal parts.

From the diagram, we can see that line CD cuts AB at the centre. Hence we can say that CD is a perpendicular bisector of AB.

The same is not applicable to line AB passing through CD. The line AB did not bisect (divide equally) line CD.

Hence we can conclude that line AB is not a perpendicular bisector of CD.

Learn more here: https://brainly.com/question/17335869

Answer: 0.8/11.08= 0.07220216606 or .0.7

Hope this helps!

Answer:

y+12=m

Step-by-step explanation:

m (marys mangos)

Answer:

Mary's mangoes = y + 12

Step-by-step explanation:

Let's assume that,

→ Mary's mangoes = x

→ Jason's mangoes = y

The information given,

→ Mary has 12 more mangoes than Jason and Jason has y mangoes.

Now we have to,

→ find the mangoes Mary has now.

Forming the equation,

→ Mary's = Jason's + 12

→ [ x = y + 12 ]

Hence, the answer is x = y + 12.

Answer:

x = 5, -4

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

x = 5, x = -4

Explanation:

Solve with the quadratic formula

[tex]x_{1,2} =\frac{-(-1)+-\sqrt{(-1)^2-4*1*(-20)} }{2*1}[/tex]  =  [tex]x_{1,2} = \frac{-(-1)+-(9)}{2*1}[/tex]

Separate the solutions

[tex]x_1 = \frac{-(-1)+9}{2*1} , x_2 = \frac{-(-1)-9}{2*1}[/tex]

[tex]x_1 = 5\\x_2 = -4[/tex]

Answer:

The first box (upper left corner)

Step-by-step explanation:

Since the y-intercept is 1/4 (you can find this where x = 0), in slope intercept the second number must equal the y-intercept.

Example:

y = 3x + 2 (0,2) is the y-intercept.

Therefore, the second number must equal 1/4 which the first box is correct.

(Negative 1/4 multiplied by -1 equals positive 1/4)

Answer:

False

Step-by-step explanation:

Answer:

0.411522634. dotn ask me how i got it (calculator)

Step-by-step explanation:

Answer:

(-2, 5)

Step-by-step explanation:

If point T is at coordinates (2, 5) then the reflection should be (-2, 5).