Answer:
The statements are not given, so i will answer it in the most general way possible:
First, let's recall two things:
Horizontal translation.
For a number A positive, we can move the graph of f(x) by A units to the right by the transformation g(x) = f(x - A)
Reflection over x
For a point (x, y), a reflection over the x-axis transforms this point into (x, - y).
Now let's analyze the problem:
A generic circle, of radius R and centered in the point (a, b) can be written as:
(x - a)^2 + (y - b)^2 = R^2.
Now let's translate this 4 units to the right:
(x - 4 - a)^2 + (y - b)^2 = R^2.
or in standard circle notation:
(x - (4 + a))^2 + (y - b)^2 = R^2.
Now the circle is centered in the point (a + 4, b).
Now let's do a reflection over the x-axis.
This means that the sign of y changes, so now we have:
(x - (4 + a))^2 + (-y - b)^2 = R^2.
But because the term with y is squared, this is the same than:
(x - (4 + a))^2 + (y + b)^2 = R^2.
Or, in standard circle notation:
(x - (4 + a))^2 + (y - (-b))^2 = R^2.
Then the circle is now centered in point (a + 4, -b).
So now you know where the circle is located, and also you can see that the radius of the circle never changed.
Sound policy requires that a certain number of trees be planted for every tree that is cut down for example of 8 trees are cut down 48 trees will be planted a homeowner is going to cut down five trees on his property how many trees will be planted 1/5 are cut down
Answer:
30 trees
Step-by-step explanation:
Given the policy:
8 trees are cut down 48 trees will be planted
If homeowner is going to cut down five trees on his property how many trees will be planted
Since :
8 trees cut down = 48 planted
5 trees cut down = X
Cross multiply :
8 * X = 48 * 5
8X = 240
X = 240/8
X = 30
Hence, 30 trees will need to be planted
Answer: 30
Step-by-step explanation: because i had that question
Ten times the sum of half a number x and 8 is 12.
BREAKDOWN
10 times: 10 ×
The sum of: ( ) + ( )
which would be : 10 × ( ) + ( )
half a number: 10 × ( X/2 ) + ( )
and 8: 10 × ( X/2 ) + ( 8 )
is 12 : 10 × ( X/2 + 8 ) = 12
xxxxxxxxxxxxxxxxxxx
SIMPLIFICATION
Multiply ten: 10 X (X/2 + 8) = 12
which equals to: 5x + 80 = 12
bring the like terms together: 5x = 80 - 12
Equals: 5x = 78
Find out X:. x = 78/5
FINAL ANSWER:. X = 15.9
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The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is six more than three times the first number. Find the three numbers
Answer:
21, 33 and 69Step-by-step explanation:
x - the first number
2x - two times the first number
2x-9 - 9 less than two times the first number = the second number
3x - three times the first number
3x+6 - six more than three times the first number = the third number
The sum of three numbers is 123:
x + 2x-9 + 3x+6 =123
6x - 3 = 123
6x = 126
x = 21
2x-9 = 2•21-9 = 33
3x+6 = 3•21+6 = 69
Check: 21+33+69 = 123
The rectangle below has been enlarged by a scale of 3.5.
A rectangle with a length of 8 and width of 6.
[Not drawn to scale]
What is the area of the enlarged rectangle?
Answer:
588
Step-by-step explanation:
Got it right on Edgen
Answer:
588
Step-by-step explanation:
i took the test
In AHIJ, j = 98 cm, h = 38 cm and ZI=23°. Find the length of i, to the nearest
centimeter
Answer:65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
5x=y is it Proportional or not and if it is proportional whats the constant proportionality
Answer:
Yes, 5x = y is Proportional and, the constant of proportionality is 5
Step-by-step explanation:
If x and y are proportion, then
y = k x is the equation of the proportional, where k is the constant of proportionalityIt represented graphically by a line passes through the origin (0, 0)∵ 5x = y
→ Switch the two sides
∴ y = 5x
→ Check it if passes through the origin point or not
∵ At x = 0, y = 5(0) = 0
∴ (0, 0) is a point ∈ y = 5x
∴ y = 5x represented graphically by a line passes through the origin
∴ x and y are proportion
∴ y = 5x is the equation of proportional
→ By comparing it with the form of the equation above
∴ k = 5
Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount. How much does Audrey charge, in dollars per mile? Please show your work
Answer:
4+1=m??? I think
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
PLEASE HELP!!
6. mZ1 = (3x + 10)
m24 = (4x - 15)
What is the m<7?
Answer:
95°
Step-by-step explanation:
1 is opposite to 4. So, (3x+10)° = (4x-15)°
3x + 10 = 4x - 15
10 + 15 = 4x - 3x
25 = x
m(4) = 4x - 15 => 4.25 - 15
100 - 15 = 85 = m(4)
7 is opposite to 6 and 6 is parallel to 4. So, m(4) + m(6) = 180°
85° + m(6) = 180°
m(6) = 95°
6 is opposite to 7, so m(6)=m(7) and answer is 95°
Hope this helps ^-^
Amelia ,Hayden and Sophie did a test the total for the test was 75 marks Amelia got 56% of 75 marks Hayden got 8/15 0f the 75 marks Sophie got 43 out of 75 marks who got the highest
Step-by-step explanation:
Amelia got 56% of 75 so
(56/100)*75=(56*75)/100=4200/100=42
Hayden got 8/15 of 75 so
(8/15)*75=(8*75)/15=600/15=40
and Sophie that got 43 out of 75
so we see that Sophie got the highest points.
Given parameters:
Total test score = 75marks
Percentage of Amelia score = 56%
Fraction of Hayden's score = [tex]\frac{8}{15}[/tex]
Sophie's score = 43marks
Unknown:
The person with the highest score = ?
Solution:
Since total score = 75marks;
Amelia's score = [tex]\frac{56}{100} x 75[/tex] = 42marks
Hayden's score = [tex]\frac{8}{15} x 75[/tex] = 40marks
Sophie's score = 43 marks
The person with the highest score is Sophie with a mark of 43.
To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The most important thing to remember is that whatever you do to one side of the equation, you have to do the same thing to the other side. 5 + y = 7
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
Given
[tex]5 + y = 7[/tex]
Required
Solve
From the analysis attached to the question, we can solve this equation by subtracting 5 from both sides:
[tex]5 + y = 7[/tex]
[tex]-5 + 5 + y = 7 - 5[/tex]
[tex]0 + y = 2[/tex]
[tex]y = 2[/tex]
Solve the literal equation
x = a + b + c
————
ab
Answer:
a = xab/(b + c)
Step-by-step explanation:
x = (a + b + c)/ab
Isolate the variable by multiplying/dividing everything, but variable a to both sides
x × ab/(b+ c) = (a + b + c)/ab × ab/(b + c)
xab/(b + c) = a
I need help plz.
What is the slope of the line shown on the graph to the right?
The slope of the line is .....................
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 0) and (x₂, y₂ ) = (4, 6) ← 2 points on the line
m = [tex]\frac{6-0}{4+8}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]
if an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference.
Answer:
[tex]\bold{d=\dfrac{13}4=3\dfrac14}[/tex]
Step-by-step explanation:
[tex]a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14[/tex]
what is the value of xy/z if x= 4, y = -3, and z = -2?
A. -1/6
B. -6
C. 1/6
D. 6
Help me with this question, please. Im stuck.
The answer is A, x=7/3
Decimal form would be x=2.3...
And mixed number form would be x=2 1/3
help!!! I don't know this
Answer:
Graph C
The Y axis is up and down and the x axis is side to side. So first we want to look to see which line crosses the y axis the the up and down black line.
When you are finding a coordinate you set it up like this (x, y). You will find x first and y second.
So we are down to two graphs graph a and graph c. Know both of them cross at the (0,-7) mark but it asks for one other thing a well.
On a graph when something decreases it will go down and when something increases it will go up. So that tells me it is graph C.
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1.2.9
At first, a bucket has 640 ounces of water in it. Due to a small leak, it loses 3 ounces of water per
minute. What equation relates the amount of water left in the bucket y in ounces to the time x in
minutes? Assume the relationship is linear.
The equation is y=
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Enter your answer in the answer box and then click Check Answer
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Answer:
y=640-3x
Step-by-step explanation:
The total amount of ounces in the bucket is 640, and it decreases by 3 each minute. For example, if you plug in 3 for x into that equation (which would represent 3 minutes), you would lose 9 ounces of water, which makes sense in the terms of the equation.
Which of the following is equivalent to 2-47
Answer:
45
Step-by-step explanation:
2 minus 47 equals 45 if that's what your talking about
(HELP MEEE PLEASEE) What are the coordinates of point Q?
A) 0,2
B) 2,4
C) 4,1
D)4,2
Answer:
B. (2,4)
Step-by-step explanation:
I need help on this
Answer:
Domain = (-2,2)
Range = [-2, 2)
Step-by-step explanation:
SHOW YOUR WORK! HELP ME 100 Points!!!!
Building A: Building B:
radius = 10 m radius = 10 m, height = 20 m, slant height = 22.4 m
(a) Verify that they have the same volume:
• Volume of building A =
• Volume of building B =
(b) Find the surface area of both buildings:
• Surface area of building A =
• Surface area of building B =
(c) Use your answers from part (b) to identify which building has the least amount of heat loss. Justify your answer.
Answer:
volume of building a is 200 volume of building b is 224
Step-by-step explanation:
what is the slope of a line passing through (-3,-4) and (3,4)
Answer:
4/3
Step-by-step explanation:
you use slope formula
The point (0,50) identifies the unit rate as 50.
True or false
An initial investment of $500 is made in an account which earns 6% interest compounded
semiannually. Which of these equations gives the value of the investment after t years?
Answer:
A = 500(1+6%/2)^2t
Step-by-step explanation:
Given the general compound interest formula A = P(1+r/n)^nt. With an initial investment of $500, and percent interest of 6% compounded semi annually(every six months/half a year/twice in one year). A = 500(1+6%/2)^2t .
i.e if given two years of compound interest, t=2. A = 500(1+6%/2)^2(2), 500(1+0.03)^4, 500(1.03)^4, 500(1.12550881), 500(≈1.1255) = 562.75
A = 562.75$ for two years
Increase £30 by 2/5?
What is the value of X?
Please Help me
Answer:
The answer would be c- 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
X=1/2
volume d'un cube= x^3
donc (1/2)*(1/2)*(1/2)=1/8
What are the values of x and y?
Simplify the expression.
27^1/3
Answer:
9
Step-by-step explanation:
Rewrite 27 as 3 ³.
(3³)[tex]\frac{1}{3}[/tex]
Apply the power rule and multiply exponents, [tex](a^{m})^{n} =a^{mn}[/tex]
3³([tex]\frac{1}{3}[/tex])
The simplified value of exponential expression27(1/3) is about equivalent to 3.
Here, we have,
give that,
the expression is 27^1/3.
We know,
An exponential expression is a mathematical expression that requires raising a variable to a power.
now, we get,
Rewrite 27 as 3 ³.
so, we have, (3³)^1/3
Apply the power rule and multiply exponents, nᵃᵇ= (nᵃ)ᵇ
3³^(1/3) = 3
i.e. we have,
(27)^1/3
= (3^3)^1/3
= 3
As 3*3*3 is 27 so we can write 3^3 ...both power got cancelled hence we got 3 as a answer.
Hence, The simplified value of exponential expression27(1/3) is about equivalent to 3.
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The table shows the number of condo sales per month for a new condo building. Select all the equations that could represent the number of sales.
Answer:
Option (1) and (5)
Step-by-step explanation:
Let the equation representing number of sold is,
y - y' = m(x - x')
Where m = number of condo sold per month
(x', y') is a point from the given table,
Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the passing through (1, 8) and (0, 11) will be,
m = [tex]\frac{11-8}{0-1}[/tex] = -3
Therefore, equation of the line passing through (3, 2) and slope (-3),
y - 2 = (-3)(x - 3)
y - 2 = -3(x - 3)
Similarly, equation of the line passing through (0, 1) and slope (-3),
y - 11 = -3(x - 0)
Therefore, Option (1) and (5) will be the answer.
Answer:
Options 1 and 5
A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the
wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the
rotation?
O 50 feet
O 50 feet
O 100 feet
O 100v3 feet
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The required height of the seat from the ground is 100√3. Option D is correct.
A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the is to be determined.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Diameter = 200
Radius = Diameter/2 = 100
Rotational angle = 60°
Let the height be h
tan60 = h/100
√3 = h/100
100√3 = h
Thus, the required height of the seat from the ground is 100√3. Option D is correct.
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Answer:
50 √3 feet
Step-by-step explanation:
Correct on edge 2023.