Given:
Consider the two points are B(2,3) and B'(-4,-6).
Center of dilation is the origin.
To find:
The scale factors of this dilation that transformed B into B'.
Solution:
If a figure dilatated by scale factor k and center of dilation is the origin, then
[tex](x,y)\to (kx,ky)[/tex]
It means, the point after dilation is
[tex](x',y')=(kx,ky)[/tex]
where, k is the scale factor.
[tex]k=\dfrac{x'}{x}[/tex]
x-coordinate of image is -4 and x-coordinate of original point is 2.
[tex]k=\dfrac{-4}{2}[/tex]
[tex]k=-2[/tex]
Therefore, the scale factor is -2. It means, the point and image lie on the opposite sides of center of dilation.
Help pleaseeeeekwkwkwksksksksksks
Answer: D
Step-by-step explanation:
it equals 15/12
Answer:
The answer is d :)
Step-by-step explanation:
5 + 4 + 3 + 2 +1 = 15
so D would equal 15/12
Your bank account has a balance of −$12. You deposit $60. What is your new balance?
Your new balance is $
.
Answer:
Your balance will be 48
Step-by-step explanation:
If you have -12 add 60 that will equal 48
Consider the table. -4 -2 0 2 4 9 6 0 3 Determine the slope of the linear function described by the table.
Answer:
Let's see what to do buddy...
Step-by-step explanation:
_________________________________
Step (1)
First we need two points of the table :
I choose a = ( 0 , 3 ) and b = ( 2 , 0 ) .
_________________________________
Step (2)
To find the slope of linear functions using two points, we use the following equation :
[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
Where a and b are two points of the function.
_________________________________
Step (3)
Now just need to put the coordinates of the points which we chose.
a = ( 0 , 3 ) °•°•°•°•°•°•° b = ( 2 , 0 )
[tex]slope = \frac{0 - 3}{2 - 0} \\ [/tex]
[tex]slope = - \frac{3}{2} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
what is 24/30 written as a decimal
Answer:0.8
Step-by-step explanation:To write 24/30 as a decimal you have to divide numerator by the denominator of the fraction. We divide now 24 by 30 what we write down as 24/30
Answer:
First off, we'll interpret the fraction bar to mean "divided by." This means that 24/30 is the same as 24 divided by 30. Second, you have requested to see 3 decimal places in your answer, so we'll write the 24 as 24.000 instead (a 24 with 3 zeros after the decimal point
Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different ________________. The immune system uses the carbohydrates to _____________________ that your cells belong to ________ and are not ______________________, ____________________, or other foreign cells.
We have that for the Question, it can be said that
Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different Duties The immune system uses the carbohydrates to detect that your cells belong to you as living and are not foreign organism or other foreign cells.
From the question we are told
Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different ________________. The immune system uses the carbohydrates to _____________________ that your cells belong to ________ and are not ______________________, ____________________, or other foreign cells.
Generally
Carbohydrates performs different functions in the body as it provides energy stores energy and so much moreCarbohydrates performs a unique function to the immune systems as it is used as deduction mechanism.The immune system makes use of ones carbohydrates to identify its cellsAs the body may be exposed to some foreign bodies.And the cells may need to be told apart.Therefore
The complete statement will be
Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different Duties The immune system uses the carbohydrates to detect that your cells belong to you as living and are not foreign organism or other foreign cells.
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Slope from 3,8 4,2 I WILL MARK BRAINLIEST
Answer:
what about it
Step-by-step explanation:
Answer:
[0,9] [8,6] [-2,-4] [-8,-5] [1,2] [3,4]
Step-by-step explanation:
Which expressions are polynomials?
Select all that apply.
3x+9y
x2+x−4
27x2y−3
1/x+4
Answer:
i think a, b, and c not the last one
Step-by-step explanation:
i looked up the definition of a polynomial haha
hope this is right and helps <3
A tree measured 18 feet tall. Over the next 3 1/2 years, it grew to final height of 35 1/2 feet. During those 3 1/2 years, what was the average yearly
Growth rate of the height of the tree
Answer: it 5 feet/yard
Step-by-step explanation:
The average yearly growth rate the tree is 5 feet per year.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
Given that,
Height of tree = 18 feet
Also, the tree grew in next 3 ¹/₂ years,
Since the tree grew to final height of 35 ¹/₂ or 71/2 feet.
The increased height of the tree = 71/2 - 18 = 35/2
To find the average growth rate of the height of the tree,
Use ratio method,
In 3 ¹/₂ years = 35/2 feet,
In 7/2 years = 35/2 feet,
in 1 year = 5 feet
The average growth rate of the height of the tree is 5 feet per year.
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Find the 64th term of the arithmetic sequence 2, -3,-8
Answer:
-313
Step-by-step explanation:
a1=2; d=-5
a64=2-5(64-1)=-313
The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.
What is Arithmetic sequence?
An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The arithmetic sequence;
⇒ 2 , -3 , -8 ...
Now,
The general equation for nth term of the arithmetic sequence is,
[tex]T_{n} = a + (n - 1) d[/tex]
Where, The term 'a' represent the first term.
And, 'd' represent the difference between each consecutive numbers.
Here, In the arithmetic sequence 2 , -3, -8;
The first term = 2
The difference = -3 - (2) = - 5
So, To find the 64th term of the arithmetic sequence, we can substitute
n = 64 and a = 2 and d = -5 in above formula as;
[tex]T_{n} = a + (n - 1) d[/tex]
[tex]T_{64} = 2 + (64 - 1) (-5)[/tex]
[tex]T_{64} = 2 + (63 * -5)[/tex]
[tex]T_{64} = 2 - 315[/tex]
[tex]T_{64} = -313[/tex]
Thus, The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.
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a tank contains 500 litres of water. the water is leaking at a rate of 2 litres per day.
a) how long would it take for half the water to leak out?
Pls explain this and answer and workings
Answer:
125 days.
Step-by-step explanation:
How many 2 litres are there in 500?
That is 500/2 = 250.
Therefore the number of days to empty the whole tank is 250 days.
So for half to leak out it's 250/2 = 125 days.
If Fred can type 600 words in 12 minutes, how many words can Fred type in 1 minutes?
Answer:
600/12=50 words in 1 minute
Step-by-step explanation:
easy
a drone was flying at an altitude of 500 feet and descended 150 feet.
what is the altitude after the drone descended to its current height?
Answer:
350 feet
Step-by-step explanation:
7(1 - y) = -3(y-2)
What is the answer
Answer:
[tex] \huge y = \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]7(1 - y) = -3(y-2)[/tex]
Expand the terms in the bracket
That's
[tex]7 - 7y = - 3y + 6[/tex]
Add 3y to both sides of the equation
[tex]7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6[/tex]
Subtract 7 from both sides by the equation
[tex]7 - 7 - 4y = 6 - 7 \\ - 4y = - 1[/tex]
Divide both sides by - 4
[tex] \frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\ [/tex]
We have the final answer as
[tex]y = \frac{1}{4} \\ [/tex]
Hope this helps you
Given m || n, find the value of x
Answer:
if m and n are parallel then the value of x is 11
The band is selling tickets to their spring show. The auditorium holds 1200 people. What is the reasonable domain for the number of people to attend the show? (Hint: #
Answer:
don´t ge it sorry
Step-by-step explanation:
14/27 divided by 2/3 soo can someone help me and maybe give me the answer
Answer: 9/7
Step-by-step explanation:
Percentage of the different pets people own Dogs 50% Cats 30% Birds 10% Reptiles 5 % Other Rodents 1% 4% f the total number of homes with a pet is 400, the number of homes with a pet cat is: 120 160 400 30
Answer:
I think its 160 sorry if you get It wrong
Answer:
120
Step-by-step explanation:
Does anyone know how to do this?
Answer:
There are no values of y that make the inequality true.
There is No Solution.
Divide.
0.123.6
The quotient is
.
Answer:
0.0205
Step-by-step explanation:
I'm guessing you mean 0.123 ÷ 6
so 0.123 ÷ 6 = 0.0205
Rearrange to make x the subject:
y=1/3 x+4
Answer:
x=3y-12
Step-by-step explanation:
in the photo attached
Find the midpoint of AB if A(-3. 8) and B(-7. -6)
The midpoint of AB is (-5, 1).
To find the midpoint of a line segment AB, we average the x-coordinates of the two endpoints and the y-coordinates of the two endpoints.
Given that A has coordinates (-3, 8) and B has coordinates (-7, -6), we calculate the midpoint as follows:
x-coordinate of midpoint = (x-coordinate of A + x-coordinate of B) / 2
= (-3 + -7) / 2
= -10 / 2
= -5
y-coordinate of midpoint = (y-coordinate of A + y-coordinate of B) / 2
= (8 + -6) / 2
= 2 / 2
= 1
Therefore, the midpoint of AB is (-5, 1), where -5 is the x-coordinate and 1 is the y-coordinate. This means that the midpoint is equidistant from points A and B, dividing the line segment AB into two equal parts.
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The ratio of girls getting pickle pop chips to boys getting pickle pop chips is 20 to 11. If the girls
received 40 pickle pop chips, how many were given out altogether?
Answer:
The answer is 62
Step-by-step explanation:
the ratio given can be written as [tex]\frac{20}{11}[/tex].
first, we need to solve for how many boys received if the girls received 40.
let's write a new ratio to show this.
[tex]\frac{20}{11} = \frac{40}{x}[/tex]
notice how i was able to equal them to each other. this is because they represent the same rate.
to solve for x, cross multiply.
[tex]20x= 440\\[/tex]
now solve.
[tex]x=22[/tex]
the 22 represents how many boys will receive if the girls receive 40.
the question is asking how many will be given out all together. this implies that we should add 40 and 22.
[tex]40+22= 62[/tex]
62 pickle pop chips were given out.
hope this helps!
Would a step-up transformer or a step-down transformer be used to convert 260 volt AC current from a household input into a 13 volt AC output in a portable electric fan? Determine the ratio of the number of input wire coils to output wire coils on the transformer.
Answer:
20:1
Step-by-step explanation:
It is given that,
Input voltage = 260 volt
Output voltage = 13 volt
We need to find the ratio of the number of input wire coils to output wire coils on the transformer.
For a step-down transformer,
[tex]\dfrac{V_i}{V_o}=\dfrac{N_P}{N_S}\\\\\dfrac{N_P}{N_S}=\dfrac{260}{13}\\\\=\dfrac{20}{1}[/tex]
Hence, the required ratio is 20:1.
Which number is divisibly by both 3 and 4?
A. 101,444
B. 112,436
C. 118,764
D. 118,422
Answer:
C 118,764
Step-by-step explanation:
118764/12=9897
3*4=12 which is why I divided it by 12.
pls help I'm lost on this
Answer:
Correct answer's the top one
Step-by-step explanation:
Think of powers of 10. Each power is 10 times larger or smaller than the last one. So in this instance, the bacterium has a diameter of 10^-6 which is 1 millionth. And then there's the virus, which has a diameter of 10^-7 which is 1 ten millionth. So basically, take 10^-7 and times that by 10. This gives you 10^-6, which can only mean that the bacterium is 10 times bigger than the virus, which is the answer on top.
9a+ – 3+10+6–6
simplify expression
Answer:
9a+7
Step-by-step explanation:
Allison has worked these times this week:
8:03 am
5:13 pm
7:58 am
4:49 pm
7:46 am
4:41 pm
8:23 am
4:50 pm
7:31 am 4:32 pm
How many hours did she work?
pls help
What is the solution to this equation:
X+7=-8
Answer:
[tex]\boxed {x = -15}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x + 7 = -8[/tex]
-Subtract both sides by [tex]7[/tex]:
[tex]x + 7 - 7 = -8 - 7[/tex]
[tex]\boxed {x = -15}[/tex]
So, the value of [tex]x[/tex] is [tex]-15[/tex].
HELLLPPPP ASAP. Explain how to find the product of 3/8 x 7/9. Use complete sentences in your answer.
Answer:
7/24
Step-by-step explanation:
you times the numerators together and times the denominators together then you simplify
2(2.5x + 2) - (2x - 1)
Answer:
[tex]3x+5[/tex]
Step-by-step explanation:
Simplify using the distributive property:
[tex]2*(2.5x)+2*(2)-(2x-1)\\\\5x+4-(2x-1)[/tex]
Simplify parentheses using the distributive property (the negative sign can be seen as -1):
[tex]5x+4-1*(2x)-1*(-1)\\\\5x+4-2x+1[/tex]
Combine like terms:
[tex](5x-2x)+(4+1)\\\\3x+5[/tex]
This cannot be simplified further.
:Done
