Consider 8x2 - 48x = -104.
Write the equation so that a = 1: x2 + __ = __

Complete the square:
x² - 6x + __ -13 + __ = __

Factor the trinomial and simplify:
(x + __ )² = __

Use the square root property of equality to solve (x-3)² = -4.
The solutions are ______.

Consider 8x2 - 48x = -104. Write The Equation So That A = 1: X2 + __ = __ Complete The Square:x - 6x

Answers

Answer 1

Answer:

[tex]3+ 2\mathbf{i}[/tex]

[tex]3- 2\mathbf{i}[/tex]

Step-by-step explanation:

Quadratic Equation Solving

We have the equation:

[tex]8x^2-48x=-104[/tex]

Divide by 8:

[tex]x^2-6x=-13[/tex]

Now complete the squares so the left side is a perfect square of a binomial:

[tex]x^2-6x+9=-13+9=-4[/tex]

Factoring the perfect square:

[tex](x-3)^2=-4[/tex]

Taking the square root:

[tex]x-3=\sqrt{-4}[/tex]

The square root of a negative number is an imaginary number:

[tex]x-3=\pm 2\mathbf{i}[/tex]

Solving for x:

[tex]x=3\pm 2\mathbf{i}[/tex]

The solutions are:

[tex]3+ 2\mathbf{i}[/tex]

[tex]3- 2\mathbf{i}[/tex]

Answer 2

Answer:

Keep it simple: got this from above answer...

Answer:

Here's just the answers without all the work for easier reading.  

Step-by-step explanation:

First problem answer: x2 + -6 x = -13

Second problem answer: x2 – 6x + 9 = –13 + 9

Third problem answer: (x + -3)² = -4

Fourth problem answer: 3 + 2i

Step-by-step explanation:


Related Questions

Last year Lucy made $87.32 house-sitting for a neighbor and $82.29 mowing lawns. How much money did she earn in all?

Answers

Answer:

$169.61

Step-by-step explanation:

X = 87.32 + 82.29

X = 169.61

Answer:

$169.61

Step-by-step explanation:

87.32+82.29=169.61

need brainlyest plz

A wall is 22 feet tall. A ladder is leaned against that wall. The top of the ladder touches the top of the wall and the bottom of the ladder rests on the ground 8 feet from the base of wall. What is the length of the ladder?

Answers

Answer:

23.41 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the wall

Height of the wall (opposite) = 22 feet

Bottom of the ladder from the wall (adjacent) = 8 feet

What is the length of the ladder?

Length of the ladder (hypotenuse)

Using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

= 22² + 8²

= 484 + 64

= 548

Hypotenuse ² = 548

Hypotenuse = √548

= 23.41 feet

The length of the ladder is 23.41 feet

PLZ HELP I NEED TO PASS MATH LOL, What is the value of the expression (−10)(−7)? Enter your answer in the box.

Answers

70

Two negatives make a positive

Solve for X. 20 points !!!!

Answers

Answer:

4) x = - 12

5) x = 4

Step-by-step explanation:

4)

Since points T and S are mid points of sides ML and MN of triangle MLN.

Therefore, by mid point theorem,

TS is half of LN

so,

[tex]x + 26 = \frac{1}{2} (x + 40) \\ \\ 2(x + 26) =x + 40 \\ \\ 2x + 52 = x + 40 \\ \\ 2x - x = 40 - 52 \\ \\ x = - 12[/tex]

5) In the same way x = 4 will be the correct answer in question number 5.

Helpppppppppppppppppppppp

Answers

Answer:-4

Step-by-step explanation:

Answer: -4

Why?
Slope=rise/run
I started at the point (0,-3) and went up to find the next point the line goes directly though which is (-1,1) you go up 4 and to the left 1 which makes it -4

Hope this Helps :D

Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval notation.​

Answers

Answer:

The range interval is: (7, -1)

Step-by-step explanation:

Given the function

g(x) = -2r+5

As the domain is (-1, 3)

Let us put the domain values in the interval (-1, 3)

Putting x = -1

g(x)=-2r+5

      = -2(-1)+5

      = 2+5

      = 7

Putting x = 0

g(x)=-2r+5

      = -2(0)+5

      =0+5

      = 5

Putting x = 1

g(x)=-2r+5

      = -2(1)+5

      =-2+5

      = 3

Putting x = 2

g(x)=-2r+5

      = -2(2)+5

      =-4+5

      = 1

Putting x = 3

g(x)=-2r+5

      = -2(3)+5

      =-6+5

      = -1

Thus the range interval is: (7, -1)

The temperature falls from -7°C to -20°C. What is the change in these temperatures?

Answers

Answer:

13 degrees Celsius

Step-by-step explanation:

To solve this question, you need to subract -20 from - 7.-7-(-20)  is 13.

Tia used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy:

The ratio of DA:HE is 1:2. What is the length, in meters, of side FG on the photocopied image?


14
17
28
34

Answers

Answer:

I think its 28.

Step-by-step explanation: Dont take my word for this tho

the ratio is 1:2 and that would mean that whatever length DA, HE is 2 times.

The length of BC is 14 so 14 x 2 is 28.

The length, in meters, of side FG on the photocopied image is 28 m and this can be determined by using the concept of dilation.

Given :

Tia used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy.The ratio of (DA : HE) is 1:2.AB = 17 mBC = 14 m

The following steps can be used in order to determine the length, in meters, of side FG on the photocopied image:

Step 1 - According to the given data, the side length of DA is 2 times the side length of HE.

Step 2 - From the above step, it can be concluded that 2 is the dilation factor.

Step 3 - From the given data, the length of BC is 14m. So, the length of the side FG is given by:

FG = 2 BC

Step 4 - Substitute the value of length of side BC in the above expression.

FG = 2(14)

FG = 28 m

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/24140933

Roda ran 89 feet down the sideline of a football field. How many yards did Roda run?
A. 29.6 yard
B. 267 yards
C. 0.3 yards
D. 23 yards

Answers

Answer:

looks like it's 29.6 yards

A) 29.9 yards

EXPLANATION:
There are 3 feet in a yard, therefore you would take the number 89 and divide that by the number of feet there are in yards. You should get 29.6 yards

-3x-6y=6 y=x+8 infinite solution no solution one solution

Answers

Answer:

3x-6y=6

y=x+8

3x - 6(x+8) = 6

3x - 6x - 48 = 6

-3x - 48 = 6 / +48

-3x = 54 // -3

x = - 18

y = -18 +8 = 10

Step-by-step explanation:

Armando used algebra tiles to represent the product
3x(2x - 1).

Answers

6x to the power of 2 - 3x let me know if I’m wrong

Match the number to the quadrant they are on in the complex plane.
4 + 41

-7 +3i

9 - 181

-1 - 31

Answers

Answer:  44

               4

               13

Step-by-step explanation:

slope of (3,4) (9,2)​

Answers

Answer:

m= -1/3

good luck!

The points (-5, 5) and (5, r) lle on a line with slope -3. Find the missing coordinate r.

Answers

Answer:

r = -25

Step-by-step explanation:

slope is change in "y" over change in "x"

so whatever your change in "x" is between the two points, the change in "y" needs to be in proportion to the slope of -3.

Here the change in "x" is +10, and to make the proportion of the slope equal to -3, the change in "y" needs to be -30.

Starting from the "y" coordinate of 5, a change in "y" of -30 will give you r = -25

So the two points are (-5, 5) and (5, -25)

could someone explain please? i will give brainliest thank you so much.

Answers

Answer:

Answer is A.44

Step-by-step explanation:

So we multiplying 18*2 to find a measure 18*2=36

so we know that 18*2 is equal to 36 but we now that we have 13 so. we take 36+12=44

the answer is 44. Ignore this sentence it needs 20 words to upload

Write the slope intercept form of the equation of each line given the slope and y intercept

Answers

Answer:

11) y= -1x-2

12) y= 3/2x+3

13) y= 3x-2

14) y= 3/4x+1

15) y= 1/2x+1

16) y= -2/5x+0

17) y=7x+2

18) y= 4/3x-4

Step-by-step explanation:

y=mx+b

m is slope and b is y intercept

1. If 4 lbs of apples cost $36, How much would 2 lbs cost?​

Answers

Answer:

18

Step-by-step explanation:

divide 36 by 2

Answer:

18

Step-by-step explanation:

36/4=9

1lb=9

2lbs=18

The box plot below represents the number of hours Judy takes to complete a quilt.
++
22
24
26
28
34
36
38
40
30
32
Hours per Quilt
Which data set could be represented by this box plot?
O A. 39.32, 29, 22, 33, 29, 25, 37, 34
ОВ.
22, 27, 38, 34, 24, 32, 33, 30, 39
OC. 32, 36, 27, 30, 22, 35, 39, 28, 34
w
OD. 25, 36, 30, 32, 34, 39, 22, 29, 36

Answers

B. I think it’s b but I’m not sure

2) What is the ratio of sixth-grade students who had been to a baseball game to the number
of students who had traveled on an airplane OR own either a cat or a dog? (Write the ratio
in THREE ways)

Answers

i can help if u give me like something to follow to find the ratio?

Answer:

There isn't a graph or more information to use to find the ratio but I'll put here 3 ways to write a ratio so hopefully that might help. If more information is added later I will edit the answer.

Step-by-step explanation:

First way:

Use the word "to". For example: 2 to 4.

Second way:

Use a fraction. For example: 2/4.

Third way:

Use a colon. For example: 2:3.

HELP PLS!!!!!
Jason, Mario, April, and Tiffany each set a goal to run 20 miles a week. This table shows how much of each runner's goal has been met.


Which list shows the numbers in the table in order from least to greatest?

35, 0.35, 58, 58%


0.35, 35, 58, 58%


0.35, 58%, 35, 58


35, 0.35, 58%, 58

Answers

first one! :) :):):):):):):):))::)):):):):)):

Answer:

0.35, 58%, 35, 58

Step-by-step explanation:

58% = .58

PLEASE HURRY!!
Juan's cell phone company charges $35 a month for phone service plus $0.50 for each
text message. How many text messages does Juan send in a month if his bill was $52?
1.
Define the variable:
2.
Determine the constant:
3
What is the rate:
4
Write the equation and solve:

Answers

Juan sent 34 text messages.

First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34.

Find the value of c that completes the square for the function f(x)= x2 + 4x + C.
Your answer:
- 4
4
16
81/
4

Answers

Answer:

[tex] = - 4 \times 2 + 4 \times ( - 4) + c \\ = - 8 - 16 + c \\ = 24 + c \\ \frac{ - c}{ - 1} = \frac{24}{ - 1} \\ c = - 24[/tex]

ASAP Help me please!!

Answers

Answer:  x = 14

=============================================

Work Shown:

Refer to the diagram below. I've added a line segment and two variables y and z. This forms two isosceles triangles.

The central angle 56 degrees subtends the same arc as the inscribed angle y. By the inscribed angle theorem, this means y = 56/2 = 28. The inscribed angle is always half of the central angle (when both angles subtend the same arc).

Focus on the smaller isosceles triangle that has angles 56, z and z. Those three angles add to 180

z+z+56 = 180

2z+56 = 180

2z = 180-56

2z = 124

z = 124/2

z = 62

Now focus on the larger isosceles triangle (angles y = 28, x+z and x+z)

We'll use the same trick as before.

(x+z)+(x+z)+(y) = 180

(x+62)+(x+62)+(28) = 180 ... plug in z = 62 and y = 28

2x+152 = 180

2x = 180-152

2x = 28

x = 28/2

x = 14

idk this plz help me

Answers

Answer:

1. {12,0}

hope it helps.

Answer:

3 and 4

Step-by-step explanation:

X - 9y = 12     If x=3 and y=-1

3 - (9*-1) = 12

3 +9 = 12

12 = 12

and

X - 9y = 12     If x=0 and y=-4/3

0 - (9 * -4/3) = 12

0 + 12 = 12

12 = 12

Please help asap ! Identify the value of x.

Answers

Answer:

x = 24

Step-by-step explanation:

Apply Pythagoras theorem:

[tex](Hypotnuse)^2=Base^2+Height^2\\(x+1)^2=(x)^2+(7)^2\\(x)^2+2(x)(1)+(1)^2=x^2+49\\x^2+2x+1=x^2+49\\x^2-x^2+2x+1-49=0\\0+2x+1-49=0\\2x-48=0\\2x=48\\x=48/2\\x=24[/tex]

Find exact values of a trigonometric function

Answers

Answer:

you didnt put a pic bro how can we answer

The design plans for a new concert hall shows elevations relative to the ground level at 0 feet. The elevation of the balcony is 37 feet and the elevation of the basement floor is -17 feet. Full in the blanks to write the distance of the balcony and basement from ground level

Answers

Answer:

54 feet

Step-by-step explanation:

The distance from the balcony to the ground level = 37 - 0 = 37ft

The distance from the basement floor to the ground level = 0 - (-17) = 17 feet

the distance of the balcony and basement from ground level will be the sum of the distances gotten = 37 - (-17)

= 37 + 17

= 54 feet

Hence the distance of the balcony and basement from ground level is 54 feet

convert y=3x-2 to standard form

Answers

Answer:

y = 3 x−2

Step-by-step explanation:

What is (6×5-6) +56​

Answers

Answer:

(6x5 -6) +56

(30-6) +56

24+56

80

Step-by-step explanation:

The Happy Day Summer Camp is having a basketball tournament. Seventy-five campers
are participating. If each team has 5 players, how many teams will be playing in the
tournament?
18
8
15
25

Answers

15 c you divide 5 and 76
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