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:
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:
Last year Lucy made $87.32 house-sitting for a neighbor and $82.29 mowing lawns. How much money did she earn in all?
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?
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.
70
Two negatives make a positive
Solve for X. 20 points !!!!
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
Answer:-4
Step-by-step explanation:
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.
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?
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
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 mThe 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
Answer:
looks like it's 29.6 yards
-3x-6y=6 y=x+8 infinite solution no solution one solution
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).
Match the number to the quadrant they are on in the complex plane.
4 + 41
-7 +3i
9 - 181
-1 - 31
Answer: 44
4
13
Step-by-step explanation:
slope of (3,4) (9,2)
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.
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.
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
Write the slope intercept form of the equation of each line given the slope and y intercept
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?
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
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)
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
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:
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
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!!
=============================================
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
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.
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
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
Answer:
54 feetStep-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
Answer:
y = 3 x−2
Step-by-step explanation:
What is (6×5-6) +56
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