Answer:
The scale factor is 1/4
Step-by-step explanation:
Here, we are interested in finding the scale factor that helped convert the first point to the second.
Hence, what turned (8,12) to (2,3)
What we shall do here is to simply divide term 2 by term i.e
That would be 2/8 or 3/12 = 1/4
The scale factor was 1/4.
Given that,
The point (8, 12) was dilated to become point (2, 3).
We have to determine,
What was the scale factor?
According to the question,
Scale factors are closely related to the concepts of ratio and proportions.
In ratio and proportions, we multiply or divide a given amount to form a new quantity.
The point (8, 12) was dilated to become point (2, 3).
Therefore,
The scale factor was,
[tex]\rm Scale\ factor = \dfrac{New \ point \ lies \ on \ axis}{Old \ point \ lies \ on \ axis}[/tex]
Substitute the points in the formula for the x-axis,
[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ x-axis}{Old \ point \ lies \ on \ x-axis}\\\\Scale\ factor = \dfrac{2}{8}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]
And substitute the points in the formula for the y-axis,
[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ y-axis}{Old \ point \ lies \ on \ y-axis}\\\\Scale\ factor = \dfrac{3}{12}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]
Hence, The scale factor was 1/4.
For more details refer to the link given below.
https://brainly.com/question/8765466
Help!!! What is the equation of the following function? Show any work.
Answer:
[tex]y=-3(x+2)^2-3[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
The graph provided in the question, assumed as a parabola, has two clear points:
The vertex, located at (-2,-3)
The point (-1,-6)
Substituting the coordinates of the vertex, the equation of the function is:
[tex]y=a(x-(-2))^2-3[/tex]
[tex]y=a(x+2)^2-3[/tex]
The value of a will be determined by using the other point (-1,-6):
[tex]-6=a(-1+2)^2-3[/tex]
Operating:
[tex]-6=a(1)-3[/tex]
Solving:
a=-3
The equation of the graph is:
[tex]\boxed{y=-3(x+2)^2-3}[/tex]
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C?
A.
(7, -1)
B.
(2, -3)
C.
(2, -1)
D.
(5, -3)
Rese
Answer:
a
Step-by-step explanation:
Answer:
The correct answer for plato is option C
Step-by-step explanation:
C. (2, -1)
Who c is the value of the expression [(10^4)(5^2)/10^3)(5^3)]^3 1 2 8 10
Answer:
8
10 divided by 5 is 2, and 2 cubed is 8
Which expression would represent the cost of one CD, if the total cost for three of them is $36?
36-3
3(36)
36/3
3+36
Answer:
C: 36/3
Step-by-step explanation:
36 ÷ 3 = 12
We solve by using the total amount of dollars and dividing by how many CDs there are
Answer:C: 36/3
Step-by-step explanation:
36 ÷ 3 = 12
We solve by using the total amount of dollars and dividing by how many CDs there are
The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
Oy=-2x+ 12
O y=-2x+8
y=-2X-7
O y=-2x-3
Answer:
y=-2x+8
Step-by-step Explanation:
could you vote me brainliest plz? thx :)
Simplify. 49/16
Be sure to write your answer in simplest form.
Answer:
3 1/16
Step-by-step explanation:
3 is the whole number
Which values are in the solution set of the inequality -23x+13>-1
(> this symbol has a line underneath meaning equal to)
please be more specific
Answer:
x ≤ 14/23orx = ( -oo, 14/23]Step-by-step explanation:
Solving is steps
-23x + 13 ≥ -1 ⇒ add -13 to both sides-23x ≥ - 1 - 13-23x ≥ - 14 ⇒ divide both sides by - 23, inequality sign reversesx ≤ 14/23 ⇒ answeror
x = ( -oo, 14/23] ⇒ answer as setFind the interquartile range of the data.
84,75,90,87,99,91,85,88,76,92,94
The interquartile range is
Interquartile Range: 8
a) Mr. marc wrote the equation wrong.
Explain what is wrong this his equation.
An angle is 88 degrees more than its supplement. What is the angle's measure?
Answer:
268
Step-by-step explanation:
Explain how to find the sum −8.46+5.31. a.) Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is negative. b.) Because |5.31|>|−8.46|, subtract |−8.46| from |5.31| and the sign is negative. c.) Because |−8.46|>|5.31|, add |−8.46| and |5.31| and the sign is negative. d.) Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is positive. HELP!! I am doing my hw for math and I don't get this question!!
Step-by-step explanation:
Sum of −8.46 and 5.31 means we need to add −8.46+5.31.
We know that,
|-8.46| > |5.31|
It means we subtract 8.46 - 5.31
At hundredth place, 6-1 = 5
At tenths place, 4-3 = 1
At ones place, 8-5 = 3
It would mean that, 8.46 - 5.31 = 3.15
8.46 has a negative sign. It means that the final answer will have negative sign i.e. −8.46+5.31 = -3.15
Hence, the correct option is (a) " Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is negative".
in the diagram below, find the value of y
Answer:
y = 130°
Step-by-step explanation:
4x + 8 + x + 7 + 3x - 19 = 180 (all angles in a triangle add upto 180)
8x = 184
x = 23°
3x - 19 + y = 180 (supplementary = 180)
sub x = 23 into equation
50 + y = 180
y = 130°
Answer:
130
Step-by-step explanation:
HELP PLEASE!!!! WHICH SET OF VALUES IS A FUNCTION?
Answer:
The light blue one
Step-by-step explanation:
What is the expression represent of the area of this rectangle?
Answer:
28x^2
Step-by-step explanation:
5+5+9+9 = 28
Please help quickly
Let's see what to do buddy...
_________________________________ Step (1)
First we must find the measure of x
[tex](3x - 5) + (x + 1) = 180[/tex]
[tex]4x - 4 = 180[/tex]
Both sides plus 4
[tex]4x = 184[/tex]
Divided both sides by 4
[tex]x = \frac{184}{4} \\ [/tex]
[tex]x = 46[/tex]
_________________________________
Step (2)
Now we must find the RQS Angle measure :
Angle ( RQS ) = 46 + 1 = 47
_________________________________
Step (3)
QT bisects RQS ;
So the resulting angles are :
[tex] \frac{47}{2} = 23.5 \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Al and Angela both took out loans from the bank for $2,000 to help with their bills. Al's loan was calculated with a simple interest rate of 14% and Angela's loan had an interest rate of 13% that compounded annually. They each paid off their loans in 5 years. Who repaid the bank more money and how much more did they repay?
Answer:
Angela $3680Step-by-step explanation:
For Al's loan (simple interest )
p=$2000
rate=14%= 14/100= 0.14
time t= 5years
A=p(1+rt)]
A=2000(1+0.14*5)
A=2000(1+0.7)
A=2000(1.7)
A=$3400
For Angela loan (compounded interest )
p=$2000
rate=13%= 14/100= 0.13
time t= 5years
A=p(1+r)^t
A=2000(1+0.13)^5)
A=2000(1+0.13)^5
A=2000(1.13)^5
A= 2000*1.84
A=$3680
Angela repaid more
For the function f(x) = 4x – 6, find x if f(x) = 22
Answer:
x=7
Step-by-step explanation:
PLEASE HELP ME ON 10. PLEASE IM TIMED AND MY TEACHER IS GOING TO SUBMIT IT
Answer:
I cant see it that well
two years ago randi earned $18,400. last year she earned $19,700. suppose she earns $21,600 this year. how much would randi have to earn next year so that her four year average is $21,000
Randi earn $24,300 next year.
Here,
Given that;
Two years ago Randi earned $18,400. last year she earned $19,700.
And, she earns $21,600 this year.
The average of four year is $21,000
We have to find, the amount she earn in next year.
What is Average?
A number that is calculated by adding quantities together and dividing the total by the number of quantities.
Now,
Let she earn $ x in next year.
The average of four year is $21,000.
Hence, Average of money for four year is;
[tex]\frac{18,400+19,700+21,600+x}{4} = 21,000[/tex]
[tex]59,700 + x = 84,000[/tex]
[tex]x = 24,300[/tex]
So, She earn $24,300 in next year.
Learn more about The average visit:
https://brainly.com/question/20118982
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Determine whether or not the triangles below or similar
Answer:
i think it is D
Step-by-step explanation:
i hope this helped!
p.s it would be cool if you gave me brainliest.
Select ALL the correct answers.
Which of the following would be appropriate to measure in centimeters?
- the height of a standard ceiling
- the width of a swimming pool
- the yearly increase in a child's height
- the distance between Philadelphia and New York City
- the length of a paperclip
Help meeeeeeeeeee pleasee !!
Answer:
Acute triangle
Step-by-step explanation:
There are three sides and they are all not equal to each other
b) Write 25 x 10 in standard form.
Answer:
10^6
Step-by-step explanation:
Just multiply
Answer:
10^6
Step-by-step explanation:
just add one zero because there is only one zero in 10
can someone explain this??
Answer:mark me a brainiest pls
that is a linear function search it up on Google youl get the answer from there
There are twice as many flute players as there are trumpet players in the band. if there are n flute players, write an algebraic expression to find out how many trumpet players there are
Answer:
n/2 = # of trumpet players
Step-by-step explanation:
True or false 1-5 and u don’t really need to explain them that much.
Answer:
3
Step-by-step explanation:
i wont explan
1. -9n + 1 = -80
2. 144 = 144 = -12(m + 5)
3. -243 = -9(10 + r)
4. -10 = -10 + 7x
5. 4 - 7m = - 66
6. 2(y – 3) = −12
7. 16 = 2(1 + 7a)
8. 3 + 5r = −47
9. −10x + 6 = −74
With work please :) Please and ty
Answer:
1. n = 9
2. m = - 17
3. r = 17
4. x = 0
5. m = 10
6. y = -3
7. a = 1
8. r = -10
9. x = 8
Step-by-step explanation:
BRO HELP I GOT SO MUCH F'S ANYWAYS WHAT IS 9-(3.7)
Answer:
5.4
Step-by-step explanation:
9 - 3.7
9 + -3.7 = 5.4
Answer:
5.3
Step-by-step explanation:
WILL MARK YOU BRAINLIEST HURRY PLZZZ!! I think its C but im not sure
Answer:
B
Step-by-step explanation:
You can rule out all others. A is wrong because a triangle cannot be acute and obtuse at the same time. C is wrong because a polygon dosen't neccassarily need to be a triangle, for example, a polygon is a closed shape, so it could be a rectangle. It isn't D because there are obtuse triangles out there. So, the only one left is B.
The answer is B because if the triangle is a polygon then the conclusion would be that it is either acute or obtuse.
the roaming sell phone company charge's 15.00 a month plus 0.20 per minute of airtime usage. if juanita uses x minutes of air time what is the equation that can be used to determine her monthly phone bill (c)?
Answer:
$63.00
Step-by-step explanation:
Since you have sales tax, you would do a 10% sales tax for 15 dollar
10/100 = x/15
Therefore you will calculate x and 100 divided by 15 which would be 6.6 repeated
You would round to the nearest tenth and get 6.6 then you would add 56.4 as in the tip+ month airtime usage and get 63 dollars.