Answer:
(X-1+I)(x-1-I)
Step-by-step explanation:
Expression (x + 1 - i)(x + 1 + i) is equivalent to x² + 2x +2.
Option (B) is correct option.
What is an algebraic expression?Variables, integers, and a variety of mathematical procedures make up an algebraic expression.
To find the expression equivalent to x² + 2x +2,
Solve with the help of options.
(A)
(x - 1 + i)(x - 1 - i)
Solve by using formula (a + b)(a - b) = a² - b²
(x - 1 + i)(x - 1 - i) = (x -1)² - i² = x² + 1 - 2x +1 = x² - 2x + 2
(B)
(x + 1 - i)(x + 1 - i)
Solve by using formula (a + b)(a - b) = a² - b²
(x + 1 - i)(x + 1 + i) = (x + 1)² - i² = x² + 1 + 2x +1 = x² + 2x + 2
Expression in option (B) is equivalent to x² + 2x + 2.
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If sour patch kids cost $3.99 a pound how much does 1.5 pounds cost
Answer:
$5.99
Step-by-step explanation:
multiply $3.99 by 1.5
3.99
x 1.5
_____
5.985
Round to the nearest hundredth, which equals the answer, $5.99
A)
–2 ≤ x + 5 < 6
B)
–2 < x – 5 ≤ 6
C)
–2 < x + 5 ≤ 6
D)
–2 ≤ x – 5 < 6
Answer:
A)
–2 ≤ x + 5 < 6
I think if I’m not right then I’m sorry
Step-by-step explanation:
A farmer plants the same amount every day, adding up to 4 1/3 acres at the end of the year. If the year is 5/8 over, how many acres has the farmer planted?
Answer:
5/6
Step-by-step explanation:
12/3 × 1/2 = 5/6
hope it helps
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Set of whole numbers from 1 to 10 inclusive greater than seven and odd
Answer:
{7, 9}
(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)
Step-by-step explanation:
We have to find the set of whole number greater than and equal to 7 from 1 to 10,
Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,
And of these, 7 and 9 are equal to or greater than 7
So, we get the set,
{7, 9}
Please help me I don’t understand this
Answer:
the required answer are -8,0,4
Find the value of x.
The value of x, of the angle 2x and x formed by the ray passing through the right angle is 30°.
Here we have a right angle that has a ray passing through it. We can say that the angle is a right angle because, instead of the normal notation of a curve, a square has been drawn to show the angle.
Now, since no ray except the angle is marked we will assume that 2x and x are the measurement of the angles formed due to the intersecting ray.
We all know that a right angle measures 90°.
Hence we can say that the sum of the angles will be 90°, Hence, 2x and x are complementary angles.
Writing this in the form of an equation we will get
2x + x = 90°.
or, 3x = 90°
or, x = 90°/3
or, x = 30°
Hence the value of x is 30°.
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Select the correct solution for the expression. 2 5 + 3 8 A. 2 5 + 3 8 = 5 13 B. 16 40 + 15 40 = 31 40 C. 10 40 + 24 40 = 34 40 D. 2 5 + 3 8 = 6 40
The correct solution of the expression is, 31/40.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The expression is,
⇒ 2/5 + 3/8
Now, We can add the fraction as;
⇒ 2/5 + 3/8
⇒ (16 + 15) / 40
⇒ 31/40
Thus, The solution of fraction = 31/40
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please help! 50 points!
Answer:
a) forming a bell
b) 5
c) 4.7
d) mean
is the correct answer
pls mark me as brainliest
Let
f(x)={x2+2xx+1if x≤−1if x>−1.
Evaluate the following:
1. f(−7) =
2. f(−1) =
3. f(0) =
The required solutions of the functions are given as follows,
1. f(−7) = 35
2. f(−1) = -1
3. f(0) = 1
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1 .
for x = -7
f(x) = x² + 2x
f(-7) = (-7)² + 2(-7) = 35
2.
for x = -1
f(x) = x² + 2x
f(−1) = (-1)² + 2(-1) = -1
3.
For x = 0
f(x) = x + 1
f(0) = 0 + 1 = 1
Thus, the required solutions are given as follows,
1. f(−7) = 35
2. f(−1) = -1
3. f(0) = 1
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determine the pattern then write the decimal to complete the decimal grid 0.34 0.65
0.7768
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Although part of your question is missing, the complete question is "determine the pattern then write the decimal to complete the decimal grid 0.34 0.65 as shown in a grid".
The decimals in given pattern is 0.23, 0.24, 0.25, 0.34, 0.43, 0.44, 0.45, 0.54 , 0.63, 0.64, 0.65.
In the decimal grid, there are 5 horizontal rows and 3 vertical columns. In each row, the next element increases by 0.01 and In each column, the next element increases by 0.10.
So in the first row, the elements are 0.23, 0.24, 0.25
The given element below that is given as 0.34
The elements in the next row are 0.43, 0.44, 0.45
The element in the fourth row is 0.54
The elements of the last row are 0.63 and 0.65
Hence, completing the pattern missing elements are 0.23, 0.24, 0.25, 0.43, 0.44, 0.45, 0.54 and 0.63
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
24 yd
30 yd
18 yd
The area is 108yd2(square yards).
In the given triangle a base
24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:
A=12×b×h
If we substitute the given numbers we get:
A=\(\frac{1}{2}\)×24×18
=12×9
=108
The units of base and height are the same (yards), so the calculated area is in yd2
The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
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URGENT HELP NEEDED
Estimate the measure of ∠LMN to the nearest 10
.
Answer:
100 degrees
Step-by-step explanation:
please like and mark brainliest answer
Use formula to find the area of the figure
The area of the figure in this problem is given as follows:
A. 30 in².
How to obtain the area of the figure?The area of a triangle is given by half the multiplication of the base length by the height of the triangle.
Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:
4² + x² = 6²
x² = 36 - 16
x² = 20
x = square root of 20
x = 4.47.
For a right triangle, one side is considered the height of the other, hence the sides are:
4 in.4.47 + 8 = 12.47 in.Hence the area of the triangle is then obtained as follows:
Area = 0.5 x 4 x 12.47
Area = 25 in².
Which is closest to 30 in².
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Which of the four Venn diagrams represents this?
Answer:
I would day option B does
Answer:
A is the correct answer
Step-by-step explanation:
Enter the number that belongs in the green box
The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:
\(c^2 = a^2 + b^2 - 2ab*cos(C)\)
In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:
\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)
49 = 16 + 25 - 40*cos(C)
49 = 41 - 40*cos(C)
40*cos(C) = 41 - 49
40*cos(C) = -8
cos(C) = -8/40
cos(C) = -0.2
To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:
C = arccos(-0.2)
Using a calculator, we find that C ≈ 101.54 degrees.
Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
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What is the value of v?
Answer:
34 degrees
Step-by-step explanation:
If you know the 2 interior angles of a triangle, you can find the 3rd.
This is useless since this is a right triangle.
In this case:
v + 46 = 90
v = 34 degrees
You are welcome!
Kayden Kohl
8th Grade Student
what is the answer to d- 48.60 = 80.00
Answer:
31.4
Step-by-step explanation:
You subtract 80.00 from 48.60, and you get your answer 31.4
Answer:
128.6
Step-by-step explanation:
You have to do the inverse operation.
So you add 48.60 to each side of the equation. This cancels out the -48.60 which isolates the variable. And on the other side of the equation it leaves you with 128.6. Therefore d = 128.6
Use the scale drawing to determine how wide the duck pond is? A. 18 feet B. 27 feet C. 49.5 feet D. 55.5 feet
The width of the duck pond is,
⇒ 27 feet
We can see that the given diagram is a rectangle,
And we know that,
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Now, By given diagram we have;
We have to given that;
Use the scale drawing to determine how wide the duck pond is.
And there are 4.5 feet in 1 square,
Therefore,
1 square is equal to 4.5 feet
So, we get;
The width of the duck pond is,
⇒ 6 square
We know that,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Then to find width of duck pond in feet,
Multiply 6 with 4.5
⇒ 6 × 4.5 feet
⇒ 27 feet
Thus, The width of the duck pond is,
⇒ 27 feet
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Sophie drove 189 miles in 7 hours. If she continued at the same rate, how long would
it take to travel 216 miles?
Answer:
8 hours
Step-by-step explanation:
if 189 miles= 7 hours. what about 216 miles.you cross multiply
Find a degree 3 polynomial with real coefficients having zeros 3 and 3 i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P ( x ) = .
Answer:
Step-by-step explanation:
Answer:
P(x) = 4x^3-2x^2+x-5
Some factors need to be controlled to keep this test fair. name two of them….
Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.
What are the control variables?The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.
For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.
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my final balance after 48 months was $869. If I originally put $800 into the bank what was the interest rate
Answer: 1.4375 percent
Step-by-step explanation:
69/48 = 1.4375 percent.
(if its incorrect I'm sorry)
what type of triangle do the angles form 2,3,10 obtuse, right or acute
Answer:
Acute
Step-by-step explanation:
This would not form a triangle because the lengths are too long. If it did, the triangle would be acute.
The high school art teacher has 6 crayons with 61 boxes in each case. The elementary school art teacher has 9 cases of crayons 112 in each case. How many total boxes of crayons do both teachers have?
Solve the system of equations y=x^2-3x+2
y=-9x-3
Identify one pair of vertical angles in the diagram below,
Answer:
b and d
Step-by-step explanation:
there are two
but only one is an answer choice
b and d
the other which is not an answer choice is
a and c
gathmath
what is 32 divided by 526
Answer:
0.0608365019
..............
Answer:
0.0608
or 0.061
I hope u got your answer
PLEASE HELP
A family originally bought a home for $712,980. Now, a few years later, the home is
worth $1,180,627.70. What was the percent of increase in its value? (Round your answer to
the nearest whole number.)
Answer:
86
Step-by-step explanation:
2.1 What are variable costs?
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
Variable costs are costs that change as the quantity of the good or service that a business produces changes. Variable costs are the sum of marginal costs over all units produced. They can also be considered normal costs. Fixed costs and variable costs make up the two components of total cost.
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Marshawn has batting average of 0.727272... write his batting average as fraction in simplest form
Marshawn batting average as fraction in simplest form is 90909/125000.
Given a number into decimal form i.e., 0.727272...
Marshawn has batting average of 0.727272....
And, Write his batting average as fraction in simplest form.
Based on the given conditions,
Formulate:
0.727272..
Simplify in simplest form:
0.727272/1
= 7.27272/10
=72.7272/100
= 727.272/1000
= 7272.72/10000
=72727.2/100000
=727272/1000000
It is divided by 2, we get
= 363636/ 500,000
= 181,818/ 250,000
= 90909/125000
Hence, Marshawn batting average as fraction in simplest form is 90909/125000.
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