Answers
The line segment will be needed to create step 4 is 30. Hence option D is the correct option.
What is line segment?
Line segment is line whose distance fixed. There are two fixed end points. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.
The number of line segment in step 1 is 2.
The number of line segment in step 2 is 6.
The number of line segment in step 3 is 14.
Now finding the pattern:
Step 2: 6 = 2 × 2 + 2
Step 3: 14 = 6 × 2 + 2
The number of line segment is equal to 2 more than 2 times the number of line segment of previous step.
According to this pattern,
step 4: 14 × 2 + 2 = 30
The number of line segment is 30.
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Related Questions
Please help me. I will give brainliest to the first and correct person who answers. There has to be 2 people tho
Answers
Answer: The value of x is 0.625
Step-by-step explanation:
x=5/0.8
since figure A is scaled to 5 by 0.8, we divide 5 by 0.8 to find x.
x=0.625
What is the 10th term of the geometric sequence 9, -18, 36,
Answers
Answer:
Step-by-step explanation:
Answer: -4608
========================================================
Explanation:
a = 9 = first term
r = -2 = common ratio
We multiply each term by -2 to generate the next term
The nth term for this geometric sequence is a*(r)^(n-1) which becomes 9(-2)^(n-1)
If you tried plugging in say n = 2, you should find that,
9(-2)^(n-1)
9(-2)^(2-1)
9(-2)^1
9(-2)
-18
So that confirms the second term. I'll let you try the other values of n to confirm it further.
----------------------
From here, you plug in n = 10 to find the tenth term
9(-2)^(n-1)
9(-2)^(10-1)
9(-2)^9
9(-512)
-4608
2. Given f(x) = |x|-4, determine the range of f.
(yl y> 0) or (0, 0)
b. {yl y < 0) or (-∞, 0)
c. (yl y2-4] or [-4, ∞)
d. (yl y s-4) or (-∞. -4]
Answers
Your answer will be letter C [-4, ∞)
Find the equation of the line through point (4,−7) and parallel to y=−23x+32. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
(check the image)
Answers
The equation of the required line is given as y = -23x - 92.
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
The given problem can be solved as follows,
The equation of the line is y = −23x + 32.
Then, its slope is given by -23.
Since the parallel lines have the same slope, the slope of the line parallel to y = −23x + 32 is -23.
Now, the equation of the line passing through (4, -7) and parallel to the given line can be written as,
(y + 7)/(x - 4) = -23
=> y + 7 = -23x - 92
=> y = -23x + -99
=> y = -23x - 92
Hence, the equation of the line passing through (4, -7) and parallel to y = −23x + 32 is y = -23x - 92.
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Norma went out to her garden and cut 3 roses from the first rose bush, 5 roses from the second rose bush, 8 roses from the third rose bush, and 13 roses from the fourth rose bush. What kind of sequence is this?
Answers
The kind of sequence is a prime number if Norma cuts 3, 5, 8, 13 roses from the four bushes.
What is a prime number?A prime number is a natural number higher than 1 that is not the sum of two lesser natural numbers. A composite number is any natural number that is more than 1 but not a prime. As an illustration, the number 5 is prime since there are no other ways to write it either a product than as 1 5 or 5 1. The basic arithmetic theorem states that every natural number greater than 1 is either a prime itself or can be factored as a product of primes that is unique up to their order, making primes a prominent concept in number theory.
Given,
The number of roses cut by Norma from the first rose bush are 3 roses.
And from the second rose bush are 5 roses and from the third rose bush are 8 roses.
And from the fourth rose bush are 13 roses.
1 2 3 4
3 5 8 13
Here, the roses are 3, 5, 8, 13
Therefore, the kind of sequence is a prime number.
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Solve the following system of equations by elimination. What is the value of y?
2x5y = 1
-3x+2y=-18
y = 3
y = -3
y = 1.5
y=-1.5
Answers
The value of the variable 'y' will be 3. Then the correct option is A.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of the linear equation is given below.
2x - 5y = 1 ...1
-3x + 2y = - 18 ...2
Multiply equation 1 by 2 and equation 2 by 5, then we have
4x - 10y = 2
-15x + 10y = - 90
Add both equations, then we have
4x - 15x = 2 - 90
11x = 88
x = 8
Then the value of the variable 'y' is calculated as,
-3 (8) + 2y = - 18
- 24 + 2y = - 18
2y = 24 - 18
2y = 6
y = 3
The worth of the variable 'y' will be 3. Then the right choice is A.
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Seven line segments are shown on the coordinate plane. Which of these segments could be the image of segment AB after a sequence of reflections, rotations, and/or translations?
Select each correct answer.
A. Line segment GH
B. Line segment EF
C. Line segment LM
D. Line segment NP
E. Line segment JK
F. Line segment CD
Please hurry
Answers
The segments that could be the image of segment AB after a sequence of reflections, rotations, and/or translations include:
A. Line segment GH
D. Line segment NP
F. Line segment CD
What are the segment?From the information, the coordinates of the point A is (1, 2), the coordinates of the point B is (5, 2)
Therefore, the length of the line AB = 5 - 1 = 4 units
In this case, the transformations are, reflections, rotations, and/or translations which are rigid transformations, such that the length of the image of AB will be the same as the length of AB
Therefore, the possible images of AB are;
PN with coordinates P(5, -2) and N(9, -2) and length 9 - 5 = 4 units
HG with coordinates H(-4, -4) and G(-4, -8) and length -4 - (-8) = -4 + 8 = 4 units
CD with coordinates C(-4, 6) and D(-4, 2) and length 6 - 2 = 4 units
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If the area of the smaller circle is half the area of the larger, the ratio of the radius of the smaller circle to that of the larger circle is?
Answers
The ratio of the radii of smaller circle to that of larger circle is 1/√2.
Let the Radius of smaller circle is "r".
So the area of the smaller circle will be π(radius)²=πr²
Let the Radius of the larger circle is "R".
So the area of the larger circle will be π(radius)²=πR².
In question it is given that, the area of the smaller circle is half of the area of larger circle.
That means,
area of smaller circle=1/2 area of larger circle
area of smaller circle=1/2 area of larger circleπr²=1/2 πR²
area of smaller circle=1/2 area of larger circleπr²=1/2 πR²r²=1/2 R²
area of smaller circle=1/2 area of larger circleπr²=1/2 πR²r²=1/2 R²r²/R²=1/2
area of smaller circle=1/2 area of larger circleπr²=1/2 πR²r²=1/2 R²r²/R²=1/2r/R=√1/2
area of smaller circle=1/2 area of larger circleπr²=1/2 πR²r²=1/2 R²r²/R²=1/2r/R=√1/2r/R=1/√2
Ratio of smaller circle to that of larger circle is 1/√2 .
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I NEED HELPPPP!!!!!!!!!!!
Answers
Answer:
125 in^2
Step-by-step explanation:
Assuming that s is the length of a side in the base.
Surface Area is the area of every shape in the figure added together.In this figure you have 4 triangles and one square as the base.For the base you would find the area of a square (the base is a square) 5 x 5 = 25There are four triangles that you need to find the area of which all have the same surface area.To get the area of a triangle first split the triangle into 2 halves making a right triangle. This will make the dimensions 2.5 for base and 10 for height.Do base x height of the right triangle to get the full triangles area. (2.5 x 10 = 25).You now know the area of one triangle which there are four of in this problem so you can do 4 x 25.The surface area of the triangles is 100.Add the area of the base (25 + 100).The surface area of this figure is 125 in^2Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 35 books. There are 1,190 mystery books. How many shelves will he need to build?
How many shelves will he need to build?
Answers
Single bookcase units with two sides, top and bottom should be no wider than 36 inches without a center support.
How wide should shelves be?For most shelves made from 3/4 inch stock, a practical span is 30 to 36 inches. Shelf depth is determined by the size of the items to be stored, generally within the range of 6 to 24 inches. Shelf depth for a general purpose bookshelf is usually 10 to 12 inches. Landon is building new bookshelves for his book store.Plywood for shelves should be 3/4 inch thick or thicker. Standard sheets of plywood come in 1/4-inch, 3/8-inch, 1/2-inch, 5/8-inch, and 3/4-inch thicknesses. Plywood panels over 3/4 inch in thickness are usually special order products.I cut 1 1/2″ strips of plywood and secured three strips to each shelf, including the top and bottom of the bookshelf. The plywood strips are attached on edge, or on their sides, providing the most rigidity.Plywood is the go-to material used for pantry shelves. It's versatile, available in virtually any species of hardwood, and can easily be cut using any table saw. Plywood is ideal for pantry shelves because its edges can be finished with wood trim or iron-on veneer bandingEach shelf can hold 33 books
There are 1221 mystery books
Therefore the number of shelves he will need to build can be calculated as follows
= 1221/33
= 37
Hence Landon will need to build 37 shelves,
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Donna bought 3 bags of dog treats for $6.03. What is the cost per bag of dog treats?
Answers
3x=6.03
3x being all 3 bags times the amount of money for each, and 6.03 being the total amount for each bag.
To undo multiplication, we need to divide. In this case; we need to divide each side by three.
That leaves us with;
x=$2.01
So, wa he bag costs $2.01
(If you have questions, feel free to ask them in the comments!)
Good points please answer
Answers
The values of sin2x, cos2x and tan2x is -3/5, -4/5 and 3/4 respectively.
What is sine function?
The ratio of the opposite side's length to the hypotenuse of a right-angled triangle is known as the sine function in trigonometry. A right triangle's unknown sides or angles can be determined using the sine function. The ratio of the side opposite the angle (also known as the perpendicular) and the hypotenuse is known as the sine of an angle in a right-angled triangle.
The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: sin = Perpendicular / Hypotenuse.
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express x² - 8x + 5 in the form {x-a]²-b where a and b are the integers
Answers
x² - 8x + 5 can be expressed as (x - 4)² - 11 in the form (x - a)² - b, where a = 4 and b = 11.
Let y = x² - 8x + 5 ..................( 1 )
Expanding (x - a)² - b we get,
x² - 2ax + a² - b ......................( 2 )
Equating ( 1 ) and (2), we get
x² - 8x + 5 = x² - 2ax + a² - b
Comparing the coefficient of x,
- 8 = - 2a
a = 4
Comparing constants,
a² - b = 5
since we know a = 4
4² - b = 5
16 - b = 5
b = 11
Hence x² - 8x + 5 = (x - 4)² - 11
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is -10,-7,-4, 1, an arithmetic sequence
Answers
The mean mass of 5 boys is 62kg.When the mass of a boy is excluded,the mean mass of the remaining 4 boys becomes 64kg.Find the mass of the boy that has been excluded
Answers
The mass of the boy removed is 54.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
let's take the weight of five boys is x
so,
x/5 = 62
x = 310
and let's take the weight of four boys is y.
so,
y/4 = 64
y = 256
let's take the weight of a boy which is removed from them is z
so,
x - z = y
x - y = z
310 - 256 = z
z = 54
Hence, the mass of the boy removed is 54.
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Each of the 6 people in Mandy' family order 2 taco. Each taco cot $3. What
i the total cot of the taco?
Answers
Answer:
Step-by-step explanation:
12 x 3 = 36
answer is 36
Answer:
12 x 3 = 36
Step-by-step explanation:
Let f(x)=6(3)^x. Need help
Answers
Answer:
What are Functions ?A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain. For all values of a and b, f = (a,b)|
If every element in set A has exactly one and only one image in set B, then the relation is said to be a function.
A function is a relation from a non-empty set B such that its domain is A and it never has the same first member in two different ordered pairs.
In arithmetic, a function can be represented as:
a set of ordered pairs
an arrow diagram
a table form
a graphical form
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(4x² - 6x + 1) (5x² + 8x+6)
Answers
Step-by-step explanation:
here is your answer to your question
Answer: 20x^4 + 2x³ - 19x² - 28x + 6
Step-by-step explanation:
20. A gym membership
is offered in January
for $29.00 per month. If you pay upfront for
the year, you are given a 20% discount on the
monthly cost. How much money do you save
after a year by paying upfront rather than
monthly?
Answers
The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 5 : 4. What are the 2 numbers?
Answers
Answer:
10 and 8
Step-by-step explanation:
must be in the ratio 5:4, 5 x 4 =20, so if you multiply by 2 the ratio is 10:8 (same thing). The least common multiple of 10 and 8 is 40 because you can do 10 x 4 = 40 and 8 x 5 = 40.
Is Side-Side-Side a postulate or a theorem? Explain
Answers
Answer: Postulate
Step-by-step explanation:
Side-Side-Side (SSS) Postulate
If three sides of one triangle are congruent to three sides of another triangle, then the two are congruent.
Which equation represents the transformation formed by vertically stretching the graph of f(x)=√ by a factor of 6 and then
vertically shifting the graph 7 units up?
O g(x) = √6x + 7
O g(x)=6√x+7
○ g(x)=√x+7
O g(x)=√√√x+7
Answers
Answer:
(b) g(x) = 6√x +7
Step-by-step explanation:
You want the equation of the square root function after it has been vertically stretched by a factor of 6 and translated up 7 units.
StretchA vertical stretch is accomplished by multiplying the function value by 'a', where 'a' is the vertical stretch factor. That means the stretched square root function will be ...
f(x) = √x . . . . original square root function
h(x) = 6·f(x) = 6√x . . . . . vertically stretched by a factor of 6
TranslationA translation upward is accomplished by adding the translation amount to the function value. The translated function will be ...
h(x) . . . . . original function
g(x) = h(x) +7 . . . . . translation upward by 7 units
Our stretched and translated function is ...
g(x) = 6√x +7
Morgan ha 98 baeball card in hi collection, which i twelve le than the product of 5 and the number of card Tyler ha
Answers
Answer:
98-5 = 93
Step-by-step explanation:
what is the digital index of 23475
Answers
answer:the answer for digital index of 23475 is 3
answer: 3
explanation: the digital index is 3 because 23475 is divisible by 3
The Micro Devices Company earned 4,632,859,678 dollars this year. 1,459,632,852 dollars were earned last year. Which is the best estimate of how many more dollars were earned this year than last year?
Answers
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The amount earned by 217% more from last year to this year.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Amount earned last year = 1,459,632,852
Amount earned this year = 4,632,859,678
The best estimate of the amount earned this year than last year.
= [ (4,632,859,678 - 1,459,632,852 ) / 1,459,632,852 ] x 100
= ( 3173226826 /1,459,632,852 ) x 100
= 217 %
Thus,
The amount earned by 217% more from last year to this year.
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Find the value of x that will make L||M
L-
2x + 5
M-
x-5
x = [?]
Answers
The value of x that will make L || M is x/2
How to form parallel linesAs a parallel line part of the qualities include that the slopes of the lines are equal
The equation of line is L = 2x + 5 and M = x - 5
The slope intercept form of the form as
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
to make line L parallel to line M
2x ⇔ x
hence x in line L will be equal to x/2
L = 2x + 5
L = 2(x/2) + 5
L = x + 5
L = x + 5 is parallel with M = x - 5
L = 2x + 5 is parallel with M = 2x - 5
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Match the type of slope to the equation. You may need to solve for slope-intercept form for some equations.
y-12
x--13
-6y--2x+30
3x+5y-15
Answers
The required slopes of the line are as follows,
(a) y = 12, the slope is m = 0,
(b) x = -13, the slope is not defined.
(c) -6y = -2x + 30, the slope is positive, m = 1 / 3.
(d) 3x + 5y =15, the slope is negative, m= -3/5.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
(a)
y = 12
Comparing the above expression with the standard equation of line y = mx + c,
From comparison,
mx = 0
m = 0
(b)
x = -13,
x + 13 = 0
Comparing the above expression with the standard equation of line y = mx + c,
From comparison,
mx = 1 / 0 (because the equation does not contain the term y)
m = not defined.
Similarly,
(c) -6y = -2x + 30, the slope is positive, m = 1 / 3.
(d) 3x + 5y =15, the slope is negative, m= -3/5.
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Solve each equation by using the graph of the related function.
9th grade algebra
Answers
Answer:
Q14 x = 3
Q15 No unique solution
Step-by-step explanation:
Q14
The value of x where the line crosses the x axis is the solution for x
Here we see the line crosses the x axis at x = 3 so solution is x =3
Mathematically,
2x - 3 = 3
2x = 3 + 3 adding 3 to both sides
2x = 6
x = 6/2 = 3
Q15
This is a horizontal line which crosses the y-axis at y = 1
Since this does not cross the x axis but is parallel to it, there is no unique solution for x
Mathematically,
-4x + 2 = -4x + 1
Adding 4x to both sides we get the absurdity that 2 = 1 and that indicates no unique solution for x. Alternatively we can say that x has an infinite number of solutions
Solve the ytem of equation by the addition method.
−4x = −4y − 12
−16x 6y = 12
Answers
For the above system of equations, 4x-4y=12 and 16x-6y=-12, the values of x and y are 4.5 and -10 respectively.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here,
4x-4y=12
16x-6y=-12
multiply equation 1 by 4,
16x-16y=48
-16x+6y=12
-10y=60
y=-10
-16x-60=12
-16x=72
x=72/16
x=4.5
The value of x is 4.5 and y is -10 for the given system of equation as 4x-4y=12 and 16x-6y=-12.
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6.3x - 7.015 + 9.9 simplified
Answers
Answer: 6.3x + 2.885
Step-by-step explanation:
Since there is only one factor of x, we cannot simplify x.
We can simplify the constants though.
6.3x + (-7.015 + 9.9)
= 6.3x + 2.885
9.9-7.015=2.885
Add the x
Solution
6.3x+2.885
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