Which expression best completes the following definition of a complex number?
Answers
Answer:
C. a+bi
I took the test
Related Questions
Solve for x using the Quadratic Formula: x^2 + 2x+1=0
X=-b plus or minus b2-4ac squared all over 2a
Answers
Answer:
c is the answer
Step-by-step explanation:
12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30
inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)
Answers
Answer:
54061 in³
Step-by-step explanation:
Using proportion
Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid
30/36 = x/64873
Cross Mulitiply
36 × x = 64873 × 30
x = 64873 × 30/36
x = 54060.833333 in³
Approximately = 54061 in³
Therefore, the volume of the smaller pyramid is 54061 in³
complete the remainder of the rule table for the given function rule:
y = -2x - 7
x: -6, -3, 0, 3, 6
y: 5, _, _, _, _
Answers
Answer:
x=-6
y=-2(-6)-7
y=5
x=-3
y=-2(-3)-7
y=6-7=-1
y=-1
x=0
y=-2(0)-7
y=-7
x=3
y=-2(3)-7
y=-6-7=-13
x=6
y=-2(6)-7
y=-12-7
y=-19
A functional rule is the relationship between an input or domain and an output or scope.
The given function is as follows:
x: -6, -3, 0, 3, 6
y: 5, -1, -7, -13, -19
What is meant by function rule?A functional rule is the relationship between an input or domain and an output or scope. A relation is a function only if it has a value within each domain value. Functions are written like where is the input value. The general form of the function is:
A vertical test is run graphically to determine if the relationship is a function.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable). Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.
Let the given function be y = -2x - 7.
Where, x = -6
substitute the values in the above equation, we get
⇒ y = -2(-6) - 7
⇒ y = 5
Let the value of x = -3
substitute the values in the above equation, we get
⇒ y = -2(-3) - 7
⇒ y = -1
Put, x = 0
substitute the values in the above equation, we get
⇒ y = -2(0) - 7
⇒ y = -7
Put, x = 3
substitute the values in the above equation, we get
⇒ y = -2(3) - 7
⇒ y = -6 - 7 = -13
Put, x = 6
substitute the values in the above equation, we get
⇒ y = -2(6) - 7
⇒ y = -19
The given function is as follows:
x: -6, -3, 0, 3, 6
y: 5, -1, -7, -13, -19
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Round 290951.867863 to the nearest hundred.
Answers
Answer:
290951. 87
Step-by-step explanation:
you keep what's before the decimal point the same and round what's after it.
The value of each digit in a number is known as the place value. When the number 290951.867863 is Rounded to the nearest hundred the number becomes 291,000.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so on.The hundred mean is multiplied by 100.The hundredth means the hundredth part of that digit which is that digit divided by 100.In any number, the number rounded off to the nearest hundred is when the number is rounded off to its second value before the decimal. Therefore, the given number can be rounded off to the nearest hundred as,
290951.867863 ≈ 291,000
This is because after the hundred place value the digits at the tens and the unit place are 5 and 1, therefore, the number 951, will be rounded off to 1,000.
Hence, when the number 290951.867863 is Rounded to the nearest hundred the number becomes 291,000.
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Help me with the question
Answers
Answer:
y_2 is 8 units
Step-by-step explanation:
Given that
The distance between the point is 13 units
x_1 is 5
y_1 is 3
x_2 is -7
We need to find out the y_2
So, the following formula should be used
[tex]d = \sqrt({x_2 - x_1})^2 + (y_2 - y_1)^2\\\\13 = \sqrt({-7-5})^2 + (y_2 - 3)^2\\\\169 = 144 + (y_2)^2 + (-3)^2 - 2(y_2) (-3)\\\\25 = (y_2)^2 + 9 - 6y_2\\\\16 = (y_2)^2 -6y_2\\\\(y_2)^2 -6y_2 - 16 = 0\\\\(y_2)^2 - 8y_2 + 2y_2 - 16 = 0\\\\y_2 (y_2 - 8) + 2(y_2 - 8) = 0\\\\y_2 = 8[/tex]
hence, y_2 is 8 units
A homeowner is planting a vegetable garden. The location
for the garden is 9 m long. The owner wants to have at least
45 square meters of garden area. What is the smallest
possible width of the garden?
A 18 m
B
7 m
6 m
5 m
Answers
Answer:
5m
Step-by-step explanation:
9x5=45 and he wants 45 sq meters
solve for r. r - 4.5 < 11
Answers
Answer:
r < 15.5
Step-by-step explanation:
r - 4.5 < 11
r (- 4.5 + 4.5) < 11 + 4.5
r < 15.5
3. What should be done to the following equation to get the variable on the left side only?
-3x + 6 = x - 4
a. Add 3x to both sides.
b. Add x to both sides.
C. Subtract 3x from both sides.
d. Subtract x from both sides.
e. Either a or b.
. Either cord.
Answers
Answer:
d. Subtract x from both sides.
hey what's the answer
thanks.
Answers
Step-by-step explanation:
if b+c=0
b=-c
x^b=x^-c
so
1/[2(x^b)+1]
which graph represents a function?
Answers
Answer: The 2nd graph
Step-by-step explanation:
Using the vertical line test, all other 3 graphs have two points that meet on the same lines. This immediately rules all other 3 graphs out as a graph cannot have two points with the same x-axis.
I need help. Please someone help. .......................................................................................................
Answers
Answer:
boi its 202 -1
Step-by-step explanation:
eiroiwzjsirgjzßπkgjπøˆß
whats the correct equation to solve for x
Answers
Answer:
12x - 29 + 4x + 1 = 180
Step-by-step explanation:
(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then
12x - 29 + 4x + 1 = 180 ← is the equation to solve for x
16x - 28 = 180 ( add 28 to both sides )
16x = 208 ( divide both sides by 16 )
x = 13
P=−4b 2 +6b−9
Q=7b 2 −2b−5
P−Q=
Your answer should be a polynomial in standard form.
Answers
Answer:
−11b^2+8b−4
Step-by-step explanation:
−4b2+6b−9−7b2+2b+5
Simplify by adding terms.
11b2+8b−4
hey! please help i’ll give brainliest
Answers
Answer:
I think A is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Log5(36)-Log5(9)
-
-
-
Condense following logarithms.
Answers
Given:
The expression is:
[tex]\log_5(36)-\log_5(9)[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\log_5(36)-\log_5(9)[/tex]
It can be written as:
[tex]\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}[/tex] [tex][\because \log_m\dfrac{a}{b}=\log_ma-\log_m b][/tex]
[tex]\log_5(36)-\log_5(9)=\log_54[/tex]
Therefore, the simplified form of the given expression is [tex]\log_54[/tex].
express the following as indicated. (1) 5 cm (in and km)
Answers
Answer:
Convert in to cm and km to cm:
1 in = 2.54 cm ⇒ 1 cm = 1/2.54 in ⇒ 5 cm = 5/2.54 in ≈ 1.9685 in1 km = 100000 cm ⇒ 1 cm = 0.00001 km ⇒ 5 cm = 0.00005 km1cm=0.4in
5cm
5(0.4)2in(Approx)Exactly one cm is 3.39 .. in so answer will come around 1.96 which is almost 2
#2
1cm=0.00001km
5cm
0.00005km63
The graph below shows the quadratic function and the table below shows the quadratic function g.
1x)
1
0
X
-4
4
4
0
X
-1
0
1
2
3
4
5
(X) 13
8
5
4.
5
8
13
Which statement is true?
OA The functions fand g have different axes of symmetry and different intercepts.
ОВ. The functions and g have the same axis of symmetry, and they intercept of fis less than the y-intercept of g.
OC. The functions fand ghave the same axis of symmetry, and the intercept of fis greater than the y-intercept of g.
21 Edmentum. All rights reserved.
Answers
854 and 13 x this statment is true
The functions f and g have different axes of symmetry and different intercepts. This statement is true. Therefore, the correct option is option A.
What is quadratic function?In maths, a quadratic of degree 2 in one or maybe more variables is referred to as a quadratic polynomial. The polynomial function that a quadratic polynomial defines is known as a quadratic function. Prior to the 20th century, the terms "quadratic polynomial" meaning "quadratic function" were practically interchangeable since it was difficult to distinguish between a polynomial and the related polynomial function.
Authors often mean "having degree approximately 2" and other times "having level at most 2" when they refer to a quadratic polynomial. The functions f and g have different axes of symmetry and different intercepts. This statement is true.
Therefore, the correct option is option A.
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Your question is incomplete but most probably your full question was,
The graph shows the quadratic function f, and the table shows the quadratic function g.
Which statement is true?
A. The functions f and g have the same axis of symmetry and the same minimum values.
B. The functions f and g have the same axis of symmetry, but the minimum value of f is greater than the minimum value of g.
C. The functions f and g have different axes of symmetry and different minimum values.
D. The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.
Identify the equation of the circle X that passes through (-3, -5) and has center (4, -7).
Answers
( x - 4 )^2 + ( y + 7 )^2 = 53
...................................................
Please help with this
Answers
Choose the correct correspondence.
B
U
8.
1
2
3
4
5
C
R
S
45
27
0 28
O 26
Answers
Answer: [tex]\angle 6[/tex]
Step-by-step explanation:
Assuming TURS is a rectangle, [tex]\angle 5 \cong \angle 6[/tex] by the alternate interior angles theorem.
calculate the area of the kitchen if the outer wall with the window is 10 feet, the depth (height) of the kitchen is 7 feet, and the dotted line that connects to two walls is 8 feet.
Answers
Answer:
80 Ft²
Step-by-step explanation:
Area= length x width
length= 10 feet
width= 8 feet
A= 10 × 8
A= 80 Ft²
squared because it's feet multiplied by feet
Ft × Ft= Ft²
answer all the questions please PLEASE i need it before 30 june
Answers
Answer:
1. a = 68°
b = 112°
c = 68°
-----------------
2. a = 127°
-----------------
3. a = 35°
b = 40°
c = 35°
d = 70°
-----------------
4. a = 20°
b = 70°
c = 20°
d = 70°
e = 110°
----------------
5. a = 90°
b = 90°
c = 42°
d = 48°
e = 132°
----------------
6. a = 70°
b = 55°
c = 25°
----------------
Step-by-step explanation:
Diedra rolls an unbalanced die 72 times and gets a "6" 21 times. If she rolls the die 15 more times, which of these is the most reasonable prediction of the number of times she will not roll a "6"?
Answers
By using the relative frequency, we can expect to not roll a "6" in 11 rolls.
How many times can we expect to not roll a "6"?
We know that in a total of 72 rolls, the outcome is "6" 21 times.
Then the relative frequency is:
F = 21/72 = 0.292
Then we can expect that in N rolls, we will get (0.292)*N times a "6".
So the number of times that we will not get a 6, is:
(1 - 0.292)*N
In this case is N = 15, then we get:
(1 - 0.292)*15 = 10.62
Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.
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5. Evaluate the following expression when a = -4
and b = 1/2.
b|3a – 81 – 3/2 – 2a
a) -40
c) 20
b) -20
d) -10
Answers
Answer:
Step-by-step explanation:
Given the expression
b|3a – 81 – 3/2 – 2a
If a = -4, b = 1/2
Substitute
(1/2)/3(-4) - 81 - 3/2 - 2(-4)
1/2 * 1/-12 - 81 - 3/2 + 8
= -1/24 - 81 + 8 - 3/2
= -1/24 - 3/2 - 73
= -1-36-1,752/24
= -1,789/24
= -74.5
Find the quotient of -32/15 divided by -4/5
Answers
Answer:
Step-by-step explanation:
-32/15/-4/5
-32/15*5/-4
-32*5/15*-4
-160/-60
8/3
I remember I learnt this but I forgot how to do this. You don’t have to give the answer but at least tell me how to get the answer.
Answers
Answer:
Step-by-step explanation:
area of rectangle=l*b
=8*15
=120 cm^2
area of rectangle=l*b
96=16*b
96/16=b
6=b
In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?
Answers
Answer:
∴[tex]Cos A=\frac{AC}{AB}[/tex]
➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]
➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]
➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]
➛ [tex]x=18[/tex] ✓
➛[tex]AC=18[/tex] ✓
----------------------
hope it helps...
have a great day!!
someone pls help
Select the correct answer
Consider the function RX) = 10% and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of AX)?
g() = f(1 - 6) = 1045 – 6)
OA. The graph of g(x) is the graph of AX) shifted 6 units down.
ОВ. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
OC. The graph of g(x) is the graph of AX) shifted 6 units up.
OD. The graph of g(x) is the graph of fx) shifted to the right 6 units.
Answers
Answer:
D
Step-by-step explanation:
The right answer is D
I'm sure
The true statement is (d) The graph of g(x) is the graph of f(x) shifted to the right 6 units.
The equation of the function is given as:
[tex]g(x) = f(x -6) = 10^{x-6}[/tex]
The above equation means that, the equation of function f(x) is:
[tex]f(x) = 10^x[/tex]
And the rule of transformation is:
[tex](x,y) \to (x -6,y)[/tex]
This means that:
Function f(x) is shifted right by 6 units to get function g(x)
Hence, the true statement is (d)
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is "6x – 2 – 3x = 3x – 2" a no solution?
Answers
Answer:
yes
Step-by-step explanation:
6x-3x-3x=-2+2
you put all same numbers in the same side
that makes 0 on both sides
(−t 3 +5t 2 −6t)+(8t 2 −8t)