9. The dilation of the larger solid figure on the coordinate grid to obtain the dashed figure can be represented by the expression in option C
C. (x, y), (-5/8·x, 5/8·y)
What is a dilation transformation?A dilation transformation is one in which the dimensions of the sides of the pre-image are increased (enlarged) or decreased to get the image.
9. The dilation of a function, f(x), by a factor k are; f(k·x), and k·f(x), where;
f(k·x) is an horizontal dilation, and k·f(x) is a vertical dilation
The ordered pair (x, y) which can be expressed as (x, f(x)), where, y = f(x), following a dilation by a factor of k is therefore;
[tex](x, \, y) \overset{D_k}\rightarrow (k\cdot x, \ k\cdot f(x)) = (k\cdot x, \ k\cdot y)[/tex]
The representation of a dilation of a point (x, y), by a factor of k is therefore, obtained by multiplying both the x and y-values by the factor k, as follows;
(x, y) [tex]\overset{D_x} \rightarrow[/tex] (k·x, k·y)
Similarly, the representation of the reflection of the point (x, y) across the y-axis is the point (-x, y)
The point (-5.8·x, 5/8·y),m is therefore obtained from the dilation of the point (x, y), by a factor of 5/8, followed by a reflection across the y-axis.
The option that represents the dilation is therefore, option C
C. (x, y), (-5/8·x, 5/8·y)
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B is the midpoint of AC, where the coordinates of A are (2, 8) and the coordinates of B are (-2, 2). What are the coordinates of C
A) (-6,-4)
B) (0.5)
C) (0, 10)
D) (6, 14)
The coordinates of C are (-6, -4) if B is the midpoint of AC and the coordinates of A and B are (2, 8) and (-2, 2).
What is a mid-point in coordinate-geometry?The midpoint of the line segment is what the term "midpoint theorem" in coordinate geometry refers to. You can determine it by averaging the coordinates of the specified endpoints, which defines the coordinate locations of the line segment's midway. In order to get the intersection of the two provided points, the midpoint formula is employed.
Given,
B is the midpoint of AC.
The coordinates of A are (2, 8)
The coordinates of B are (-2, 2)
Here,
We have to find the coordinates of C
We need check the options of C and find the midpoint of A and C
If we get the midpoint same as the coordinates of BC
Then our answer is correct.
First we have to check option A:
A(2, 8) and C(-6, -4)
Midpoint of B(x, y)=((x₁+x₂)/2 , (y₁+y₂)/2)
B(x, y)=((2-6)/2 , (8-4)/2)
=(-2, 2)
So, the coordinates of B are (-2, 2)
So, our choice is correct.
Therefore, the coordinates of C are (-6, -4)
Hence, option A is correct.
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Estimate the measure of this angle within 15°.
Answer:
[tex]90^{\circ}[/tex]
Step-by-step explanation:
A right angle measures [tex]90^{\circ}[/tex].
through (4,5) and (0,-2)
Answer: y=7/4x-2
Step-by-step explanation:
I find the slope first, using 5--2/4-0. This is 7/4. I then plug it into point-slope form, which is y--2=7/4(x-0). Simplifying get y=7/4x-2.
I will give BRAINLIEST 50 POINT Question
What is the expression 4 + 8 (3x − 2) − 7x when simplified? Apply the order of operations and the commutative and distributive properties. Show all your work
Answer:
17x - 12--------------------------------
Given expression:
4 + 8(3x - 2) - 7xSimplify it in below steps:
4 + 8(3x - 2) - 7x = Given4 + 8(3x) + 8(-2) - 7x = Distribute4 + 24x - 16 - 7x = Simplify(24x - 7x) + (4 - 16) = Collect like terms(24 - 7)x + (-12) = Simplify17x - 12 AnswerAnswer:
4+(8×3x)+(8×(-2))-7x
4+24x-16-7x
4-16+24x-7x
-12+17x
or 17x-12
An algebraic expression is given. Use the expression to answer the following questions,
a) How many terms are there in the algebraic expression?
b) What is the numerical coefficient of the first term?
c) What is the constant term?
d) Does the algebraic expression contain like terms? If so, what are the like terms?
X+ 3+ 7x
The
The number of terms in the algebraic expression is 3 terms.
The numerical coefficient of the first term is 1The constant term of the algebraic expression is 3Yes, the algebraic expression contain like terms; the like terms are x and 7xWhat is an algebra?An algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
Coefficient refees to a constant by which an algebraic term is multiplied.
Constant is a quantity that remains at a fixed value throughout a given discussion.
x + 3 + 7x
Thr terms are;
x;
3;
7x
Therefore, the algebraic expression has Coefficient, constant, and like terms.
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A) Find the linear approximation to the function f(x) = ln(x) near a = 1.
B) Then use the linear approximation found to estimate ln(0.97).
C) Lastly is the answer you found in b an underestimate or an overestimate?
The linear approximation found to estimate ln(0.97) is 9.1%.
What is linear approximation?The definition of a linear approximation of a function is simply utilising a line to approximate the value of the function at a point. We recall the idea of the tangent line as soon as we see a curve (of a function) and a point on it. The value of the function at any point that is very close to the provided point can be roughly determined using the equation of the tangent line if the equation of the tangent line is found at the supplied point.
The given function is f(x) = ln(x).
We start by finding the equation of the tangent line at x=1 to the graph of y=lnx.
f(1)=ln(1)=0
We know the derivative of f(x) will be f'(x)=1/x
f'(1)=1/1=1
Therefore, the equation of the tangent is:y−y1=m(x−x1)
y−0=1(x−1)
y=x−1
An approximation for ln(1.19) would be y=1.19−1=0.19
The actual value, obtained using a calculator, would be 0.174. This means the percent error is (0.19−0.174)/0.174 ×100
= 9.1%
Therefore, the linear approximation found to estimate ln(0.97) is 9.1%.
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A group of students brought two tanks of water to clean the classroom.Tank A held 5,511 ml of water and Tank B held 7,275 ml of water. The water from both tanks was poured into Tank C which was empty. What was the volume of water in Tank C, rounded to the nearest hundred ml?
The volume of water in Tank C is 12800 ml.
How to calculate the volume?Given that the group of students brought two tanks of water to clean the classroom.Tank A held 5,511 ml of water and Tank B held 7,275 ml of water and the water from both tanks was poured into Tank C which was empty.
It should be noted that the volume on tank C will be the addition of A and B volume. This will be calculated thus:
= Volume of A + Volume of B
= 5511 ml + 7275 ml
= 12786 ml
= 12800 ml to nearest hundred.
The volume is 12800 ml.
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terrence plants a garden that has 8 rows of flowers,with 28 flowers in each row.How many flowers did terrence plant?
Answer:
224
Step-by-step explanation:
28x8=224
Answer: 224 flowers
Step-by-step explanation:
8*28=224
RADICAL FUNCTIONS PROBLEM PLS HELP
Answer:
D) [tex]\frac{\sqrt{14}}{7}[/tex]
Step-by-step explanation:
[tex]\sqrt{\frac{2}{7}}=\frac{\sqrt{2}}{\sqrt{7}}=\frac{\sqrt{14}}{7}[/tex]
(-8,23) and (-9,24) slope
Answer:
the answer for slope is -1
NO LINKS!! Help me with the 2-Column Proof Part 5aa
Perpendicular lines intersect at 90° - definition of perpendicular.
Here is the two column proof:
Statement Reason
FH ⊥ NS Givenm∠FHS = 90° Definition of perpendicular lines∠FHS is a right angle Definition of a right angle Proved01 L1 - Perimeter Word Problems
Cooper, Sha Niya
11
1 of
A piece of Plexiglas has a width which is 5 centimeters shorter than its length. What represents the area of the Plexiglas, in terms of its length (L)?
Answer:
The area of the Plexiglas is given by the formula for the area of a rectangle, which is A = L * W, where L is the length and W is the width of the rectangle. In this case, the width is 5 centimeters shorter than the length, so we can represent it as W = L - 5. Substituting this expression for the width into the formula for the area, we get:
A = L * (L - 5)
This expression represents the area of the Plexiglas in terms of its length.
Clinic offers maria 15% discount off her total cost.
line r has a slope of 7/9. line s is perpendicular to r. what is the slope of line s?
Answer:
- 7/9
Step-by-step explanation:
Write the equation of the line described below in slope-intercept form.
Find the equation of the line that is perpendicular to the line y=2 x and passes through the point (10,2).
The equation of the line perpendicular to the line y = 2x and is passes through (10,2) is given by y = (-1/2)x + 7.
As given in the question,
Equation of the line is given by :
y = 2x
Point (x₁ , y₁ ) = (10, 2) through which line passes .
Slope intercept form is given by :
y = mx + c
'm' is the slope of the line.
slope of the line y = 2x is equal to 'm₁' = 2
let 'm₂' be the slope of the line perpendicular to the given line y = 2x.
Relation between the slopes of two perpendicular lines is given by :
m₁ × m₂ = -1
⇒2 × m₂ = -1
Divide both the side by 2 we get,
⇒m₂ = -1/2
Equation of the required line is:
(x₁ , y₁ ) = (10, 2)
y - y₁ = m₂ ( x - x₁ )
⇒ y - 2 = (-1/2) ( x - 10 )
⇒ y =(-1/2)x + 7
Therefore, the equation of the line perpendicular to the given line y =2x is given by y = (-1/ 2)x + 7 .
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The mass of a substance, which follows a continuous exponential growth model, is being studied in a lab. A sample increases continuously at a relative rate of 4% per day. Find the mass of the sample after five days if there were 354 grams of the substance present at the beginning of the study. Do not round any intermediate computations and round your answer to the nearest tenth
Answer:
708
Step-by-step explanation:
trust me
Mi-Cha and her friends are going to a bounce music festival in New Orleans.
They decide to buy hoodies at the festival. A table showing the relationship between the number of hoodies and the total cost of the hoodies is shown.
The total cost is 16 times greater than the number of hoodies, hence option A is correct.
What is the average cost of an item?
The average price of products and services is the average cost. The average of these numbers will provide the average cost price when we have a number of nearly identical things to sell or purchase. It facilitates the purchasing and selling procedure for store owners.
The average cost is calculated as the sum of all product costs divided by the total number of goods. The word "average" is also used in math. The term "mean of data" refers to the average of any given set of data. The average, however, is thought to be the appropriate term in corporate contexts where profit and loss are crucial elements.
Given that,
1 hoodie costs $16
2 hoodies cost $32
3 hoodies cost $48
4 hoodies cost $64
5 hoodies cost $80
Thus, the relation between total cost and the number of hoodies can be found be dividing the cost upon the number of hoodies
∴ The relation = $80/5
Hence, cost of a hoodie is $16
We can say that option A, the total cost is 16 times greater than the number of hoodies.
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Consider this expression. -3x2−24x−36 What expression is equivalent to the given expression?
The expression equivalent to the expression -3x²-24x-36 is -3(x+6)(x+2)
What is an expression?An expression in maths, a statement involving at least two different numbers (known or unknown) and at least one operation.
Given an expression, -3x²-24x-36;
Factorizing, we get,
-3x²-24x-36 = -3(x²+8x+12)
= -3(x²+6x+2x+12)
= -3[x(x+6)+2(x+6)]
= -3(x+6)(x+2)
Hence, The expression equivalent to the expression -3x²-24x-36 is -3(x+6)(x+2)
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Fwam and his children went into a bakery and will buy cupcakes and brownies. Eac
cupcake costs $4.50 and each brownie costs $1.75. Fwam has a total of $50 to spenc
on cupcakes and brownies. Write an inequality that would represent the possible
values for the number of cupcakes purchased, c, and the number of brownies
purchased, b.
Therefore , the required inequality expression is 4.50x+1.75y ≤50
What is expression?A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
One cupcake costs $4.50,
So, “x” cupcakes cost = 4.50x.
One brownie cost $1.75,
so “y” brownies cost = 1.75y.
thus, the total 4.50x+1.75y must be less or equal to $50.
Therefore , the required inequality expression is 4.50x+1.75y ≤50
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Car X travels miles in 3 hours. a. Write the equation of the line that describes the relationship between distance and time. Use x for the time in hours and y for the distance in miles. b. What is the graph that represents the relationship between distance and time for Car X? Explain. Question content area bottom Part 1
The required equation would be y = 48x which describes the relationship between distance and time, where x is for the time in hours and y is for the distance in miles.
Car X travels 144 miles in 3 hours.
X represents the time in hours and y represents the distance in miles.
Move 3 units to the right of the origin using the slope and
144 unit(s) up to locate the spot
(3,144), which may be used to plot the connection.
Let the required linear equation be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 0
x₂ = 3, y₂ = 144
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 0 = (144 - 0)/(3 -0 )[x -0]
⇒ y = (144/3)x
⇒ y = 48x
In ΔA B C, C Z, BY and XA are medians - point O is the centroid of the triangle. X A=36$ and O Y=12. Find BO.
12
18
24
36
Answer:
Step-by-step explanation:
100 POINTS WILL GIVE BRAINLIEST If businesses lower prices, consumers want more. What is it called when businesses have negative products to provide to demanding consumers?
A. supply surplus
B. consumer surplus
C. producer surplus
D. profit surplus
Answer:consumer surplus
Step-by-step explanation:
Answer:
Its B consumer
Step-by-step explanation:
Given:-2x+3y=18 . When x has a value of zero, what is the value of y? When y has a value of zero, what is the value of x? What are these solutions called when they are graphed as part of the line -2x+3y=18? Complete your work in the space provided.
Answer:
When x has a value of 0, the equation -2x+3y=18 becomes 0+3y=18. Solving for y, we find that y=6.
When y has a value of 0, the equation -2x+3y=18 becomes -2x+0=18. Solving for x, we find that x=-9.
These solutions are called the x-intercept and the y-intercept, respectively, when they are graphed as part of the line -2x+3y=18. The x-intercept is the point where the line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. In this case, the x-intercept is (-9,0) and the y-intercept is (0,6). These points can be used to graph the line and to understand its slope and direction.
Step-by-step explanation:
Answer: 6, -9, ?
Step-by-step explanation:
When x has a value of zero:
-2x + 3y = 18
Substitute 0 into the value of x:
-2(0) + 3y = 18
We know that anything multiplied by 0 will always be zero, so you get:
3y = 18
Therefore, after dividing both sides by 3 to get y on its own, you get:
y = 6
When y has a value of zero:
-2x + 3y = 18
Substitute 0 into the value of y:
-2x + 3(0) = 18
We know that anything multiplied by 0 will always be zero, so you get:
-2x = 18
To get a positive number from a negative number x needs to be a negative number. Remember - and - makes +.
x = -9
Unfortunately, I am unable to answer the final part of the question, but hopefully what I've already written will spark a memory of something you learnt in class :)
Hoped this helped!
50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!
ΔABC is rotated 90° clockwise about the origin.
Answer:
(4,5)
Step-by-step explanation:
Choose Yes or No to tell whether the first number is a multiple of the second number
64,4
29, 3
16,2
42,8
31,7
In the pair of numbers 64,4 and 16,2 the first number is a multiple of the second number.
What are multiples of a number?A multiple in math are the numbers you get when you multiply a certain number by an integer.
Check whether the first number is a multiple of the second number
A) In the pair 64,4
64=16×4, yes 64 is multiple of 4
B) In the pair 29,3
Here, 29 is prime number
No, 29 is not a multiple of 3
C) In the pair 16,2
16=8×2, yes 16 is multiple of 2
D) In the pair 42,8
Here, 42=2×3×7 and 8=2×2×2
No, 42 is not multiple of 8
E) In the pair 31,7
Here, 31 is prime number
No, 31 is not a multiple of 7
Therefore, in the pair of 64,4 and 16,2 the first number is a multiple of the second number.
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Which of the following sets of ordered pairs is a function?
PLS LOOK AT THE PICTURE AND HELP ME !!
Answer: c
Step-by-step explanation:
A function cannot have repeated X value in a set
What term has the y, in the equation 3y + 4 = x
-12 will be the term for y
Let us suppose that x= 0
then we will get
3y + 4 = x
and then it will be
3y+ 4 = 0
Now, we will move 4 to the right hand side and it being positive this side will become negative on right hand side
3y= -4
now,
3y = 1/4
y = 1/[4*3]
y=1/12
y= - 12
Hence the answer will be y= -12
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Barry wants to post five parcels, with the
following masses:
2.7 kg
27.3 kg
0.245 kg
Mass of parcel
Less than 1kg
4.16 kg
Use the table below to work out how
much it would cost Barry in total to post
all of his parcels separately.
1kg to 5kg
5kg to 10kg
10kg to 20kg
More than 20kg
16 kg
Cost to post
£2.04
£4.87
£6.15
£9.68
£13.50
Barry will post all of his parcels separately at £17.84
How to find the the cost of posting the five parcelsThe information in the table have the amount to post certain weights of the parcel. This will be used to ascertain how much to send Barry's parcel
Barry's parcel will contains (starting from the least)
weight of parcel cost of posting as from the table
less than 1 kg (1kg to 5kg) £2.04
0.245 kg (1kg to 5kg) £2.04
2.7 kg (1kg to 5kg) £2.04
4.16 kg (1kg to 5kg) £2.04
27.3 kg (More than 20kg) £9.68
addition of the costs
= £2.04 * 4 + £9.68
= £17.84
hence the cost of sending the five parcels is £17.84
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Write an equation
where 45 is the product.
Answer:
Welcome to Brainly! I saw that this was your very first question. I will gladly assist you with your problem. (see explanation)
Step-by-step explanation:
Here are 4 options available to choose from:
1) 45 = 3² x 5 (multiply the sum of 3 times 3 by 5)
2) (3 x 8 )+ (24 x 2) - 3 (multiply 8 times 3 and then 24 times 2 add expressions together then subtract 3 from sum of expressions)
3) (9 x 9)- 36 = 45 (multiply 9 times 9 and subtract 36 from 81)
4) [tex]6^{2}[/tex] -9 (multiply 6 times 6 and subtract 9 from 36)
(Hope this helped you )
TheThe annual rent of a room in KTM is rs 60000. Find the rent of 5 months. Proper answer
Answer:
25,000 rent for 5 months
Step-by-step explanation:
The annual rent of a room in KTM is rs 60,000. Find the rent of 5 months.
60,000 / 12 = 5,000 rent per month
5,000 * 5 = 25,000 rent for 5 months
Answer:25,000 rent for 5 months
Step-by-step explanation:
The annual rent of a room in KTM is rs 60,000. Find the rent of 5 months.
60,000 / 12 = 5,000 rent per month
5,000 * 5 = 25,000 rent for 5 months
Step-by-step explanation: