What is the image point of (0,1) after the transformation D4 R90?
Please and thank you
Answer:
Image point → (-4, 0)
Step-by-step explanation:
Coordinate of a point → (0, 1)
Rule for the transformation has been given as,
D₄ o R₉₀
First use R₉₀ → Rotation of the point by 90° counterclockwise
Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,
(x, y) → (-y, x)
(0, 1) → (-1, 0)
Further use D₄ → Dilation of the point by a scale factor of 4 about the origin
If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,
(x, y) → (kx, ky)
By applying this rule,
(-1, 0) → (-4, 0)
Therefore, image point will be → (-4, 0)
What is the value of k?
Answer:
10
Step-by-step explanation:
Top angle of tri:
180 - 115 =
65
So:
65+4K+5+6k+10 = 180 (angles in tri add to 180)
Solve:
80+10k = 180
10k = 100
K = 10
Answer:
10
Step-by-step explanation:
y = 180 - 115
y = 65
Total of angles in a triangle is 180
(4k + 5) + (6k + 10) + 65 = 180
combine like terms
10k + 80 = 180
Subtract 80 from both sides
10k = 100
Divide both sides by 10
k = 10
Solve for x. -16 = x/4 + 2
72
0 -32
O -72
O 32
Answer:
x = - 72
Step-by-step explanation:
Given
- 16 = [tex]\frac{x}{4}[/tex] + 2 ( subtract 2 from both sides )
- 18 = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
- 72 = x
Answer is = - 72
It's a Right answer....
Mark me as brainliest....
Please help me figure out this problem
Answer:
There was no van stated in the question, but if the van was the truck, the answer would be $50.
Step-by-step explanation:
We can split the problem into 2 parts. First, there is a flat fee of $30 to rent the truck.
Now, we can calculate the cost to rent the truck for 80 miles excluding the flat fee by multiplying the values together.
$0.25/mile * 80 miles = $20
Now, we can add the values up.
This will give us: $30 + $20 = $50
It would mean the world to me if some one can answer both questions 1 and 2 please help
Answer:
the answer to both are 1. 3.77 2.19.94
Write a linear equation in one variable for each of the following situations:
a) The ages of Rahim and his father are 16 years old and p years old respectively. Rahim’s father is 29 years older than Rahim.
b) Sulaiman buys m chairs which cost RM5.90 each. He pays RM50 and receives a balance of RM20.50
Answer:
a) 16 + 29 = p
or
a) p - 16 = 29
b) is confusing
Step-by-step explanation:
With a line 7 cm long. Use a set square and a ruler and draw perpendicular lines at both ends
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
Steps of construction:
Step I - Draw a line segment AB = 7 cm with the help ruler. Step II - with vertex A, by using compass take more than half of AB and draw arcs, one on each side of AB. Step III - with vertex B, by using a compass with the same length, cut the previous arcs at X and Y respectively. Step IV - with help of the ruler join the points X and Y Thus XY is the perpendicular bisector of line AB.(For Diagram please find in attachment)
Name the marked angle in 2 different ways.
Answer:
angle TVU
Step-by-step explanation:
angle UVT
please mark as brainliest
find the area of the Shaded sector. round to the nearest hundreds place
HELP!!! ASAP
Answer:
[tex]192.27\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.
What we're given:
2 sectors of equal areaEach sector has a radius of 9 cmEach sector has a measure of 136 degreesTherefore, the area of the shaded regions (two sectors) is:
[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]
2 sin2 (π/2 sin2x)=1+cos(π×cos2x)
Answer:
3/5Step-by-step explanation:[tex]the \: equation \: is \: equivalent \: to \\ 2 \: { \sin }^{2} (( \: \frac{\pi}{2}) \: {cos}^{2} x ) = \\ \: 2 \: {sin}^{2} (( \frac{\pi}{2} sin \: 2x \: ) \\ = {cos}^{2} x = sin \: 2x \\ = \: \cos \: x(cos \: x \: - \: 2 \: sin \: x) \: = \: 0 \\ = \: 1 - 2 \tan \: x = 0 \: as \: cos \: x \: ≠ 0 \\ x ≠ (2n + 1) \frac{\pi}{2} \\ = \tan(x) = \frac{1}{2} \\ = \cos(2x) = \frac{1 - {tan \: }^{2}x }{1 + {tan \: }^{2} \:x } = \frac{3}{5} [/tex]
HOPE IT HELPS!!!!If it is correct mark as BRAINLIEST ✌️Find the direct variation equation
Answers:
The direct variation equation is y = 5xIf x = 4, then y = 20=================================================
Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
-------------
Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
Answer:
20
Step-by-step explanation:
if y varies directly with x, then it takes the form y=mx
to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5
then the equation becomes y=5x
substitute in the value they gave for x which is 4 to get y=5*4
to get that y=20
Bianca read 5 books last month. The number of pages in each book that bianca read is listed in the box below12,106,94,100,180 what is the mean absolute deviataion of the number of pages in the 5 books bianca read?
Answer:
36.32
Step-by-step explanation:
Given the data:
X = 12,106,94,100,180
The mean absolute deviation is calculated thus :
MAD = |x - mean| / n
Where n = sample size
Mean = Σx / n = (12 + 106 + 94 + 100+ 180) / 5 = 98.4
MAD = (|12 - 98.4| + |106 - 98.4| + |94 - 98.4| + |100 - 98.4| + |180 - 98.4|) / 5
MAD = 36.32
Which system is equivalent to
Answer:
We can find the system equivalent to this one by replacing one of the equations with a multiply of itself, so:
Let’s multiply y = x-2 by 2
2y=2x-4
A system equivalent to this one is
y = -2x^2 (this remains the same)
2y= 2x-4
I need help solving both of these 2 I’ve tried asking but nobody knows
Answer:
Step-by-step explanation:
x/7 - 13 ≥ -11
x/7 ≥ 2
x ≥ 14
m/-6 + 16 ≥ 19
m/-6 ≥ 3
m/6 ≤ -3
m ≤ -18
A
2
The distance AB
rounded to the
nearest tenth = [?]
-1
0
2
2
-
Hint: Use the distance formula:
d= (x2 – x1)2 + (72- y)2
Enter
Answer:
ssueuwuwiaiwaiaiiaiw
PLS HELP. ITS FOR AN ASSIGNMENT DUE SOON!!! IF YOU DONT KNOW THE ANSWER PLEASE DONT SAY ANYTHING.
the sum of three out of four numbers( omitting each of the four numbers in turn) are 20, 22, 24 and 27, respectively. What is the sum of the four numbers?
7. Mandy has a total of 150 nickels and
dimes, which amount to $12. How
many
of each coin does she have?
Answer:
100 dimes and 50 nickels
Step-by-step explanation:
5×50=2.00
10×100=10.00
(PLEASE HELP MEE)
A Jetliner uses 3,600 gallons of fuel per hour while it is cruising, and there are 15,000 gallons of fuel in the jetliner's fuel tank when It begins to crulse. If yrepresents the amount of fuel, In thousands of gallons, remaining in the fuel tank after the Jetliner cruises for x hours, determine the graph of the solution set for this situation and the equation modeled by the graph.
((Graph options in picture))
Answer:
"A"
Step-by-step explanation:
C & D start at 12... story starts at 15
3*3600 = 10,800 .... 15,000-10,800 = 4200
at 3 the graph has to be at 4200 (which is above 3)
note at 3 "B" is at 3 so answer has to be "A"
What is the image point (-5,3) if it is translated 3 units right and 2 units down
Our point is at -5, 3. -5 represents its x coordinate, and 3 represents its y coordinate. 3 units right makes it -2, while 2 units down makes it 1. Final coords of the point are (-2,1).
Answer:
given point is (-5,3)
right unit means positive and down unit means negative so,
image of (-5,3)---------->(-5+3-2,3+3-2)
=>(-7+3,6-2)
=>(-4,4) ANS.
if one side of a triangle measures 37 degrees and the other side measures 56 degrees, what is the angle of the third side?
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution. The equation 0.10x + 0.15(50 -x) = 0.12(50) can be used to find the amount of 10% alcohol
solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
40
mL
How much of the 15% alcohol solution should Bruce use?
mL aASAP
Answer:
x = 30 ml of 10%
50 - x = 20 ml of 15%
Step-by-step explanation:
0.10x + 0.15(50 - x) = 0.12(50)
distribute
0.10x + (7.5 - 0.15x) = 6
Combine like terms
-0.05x = -1.5
Divide both sides by -0.05
x = 30 ml of 10%
50 - x = 20 ml of 15%
While she was on holiday,Olga measured the temperature at the same time every day. Here are the results. Work out the median: The range of the temperatures
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the required data are not given.
I will use the following data as an illustration of how to calculate median and range.
We have:
[tex]x: 11, 13, 14, 15, 18, 20[/tex]
Calculate range
Identify the highest and the least
[tex]Highest = 20[/tex]
[tex]Least = 11[/tex]
So, the range is:
[tex]Range = Highest -Least[/tex]
[tex]Range =20-11[/tex]
[tex]Range =9[/tex]
Calculate the median
The number of data we are using is 6 (i.e. even).
So, the position of the median item is:
[tex]Median =\frac{1}{2}(n+1)[/tex]
[tex]Median =\frac{1}{2}(6+1)[/tex]
[tex]Median =\frac{1}{2}*7[/tex]
[tex]Median =3.5th[/tex]
A decimal result implies that the median is the mean of the integer values before and after the result.
In this case, the median is the mean of the item at 3rd and 4th positions.
So:
[tex]Median = \frac{14+15}{2}[/tex]
[tex]Median = \frac{29}{2}[/tex]
[tex]Median = 14.5[/tex]
how many ways can a person toss a coin 14 times so that tge number of tails is between 7 and 12 inclusive
Answer:
8 tails I think so If the answer is correct plz mark me the brainliest
plzz help............
Answer:
14. (8,9,10)
15.no(A)
this is the answer
Which of the following is a polynomial?
mich inequalities are true?
√5 <2.3 < 56
√5 <2.4 < 56
74 < 5 5.5
√3 <3 <3
V8 <2.9
√A <4.5 < 5
Which sets of inequalities are true
Answer:
[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]
[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]
[tex](e)\ \sqrt 8 <2.9[/tex]
[tex](f)\ \sqrt5 <4.5 < 5[/tex]
Step-by-step explanation:
Required
Which are true
[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]
Take square root of 5
[tex]2.2 <2.3 < 56[/tex] --- This is true
[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]
Take square root of 5
[tex]2.2 <2.4 < 56[/tex] --- This is true
[tex](c)\ 7.4 < 5 <5.5[/tex]
This is false because [tex]7.4 > 5[/tex]
[tex](d)\ \sqrt 3 <3 <3[/tex]
This is false because [tex]3 = 3[/tex] not [tex]3 < 3[/tex]
[tex](e)\ \sqrt 8 <2.9[/tex]
Take square root of 8
[tex]2.8 <2.9[/tex] --- This is true
[tex](f)\ \sqrt5 <4.5 < 5[/tex]
Take square root of 5
[tex]2.2 <4.5 < 5[/tex] --- This is true
3
If x=
)
X Х
find the value of x-2
3
2.
Step-by-step explanation:
Answer
Open in answr app
Correct option is
B
±2
x=3+22 x1=3+221×3−223−22
=3−22
(x−21)2=x+x1−2
=3+22+3−22−2=4
So, x−x1=4=±2 Ans
is the relationship shown by the data linear? if so, model the data with an equation.
Answer:
The relationship is not linear.
Hope this answer is right!!
Find the slope of a line thrcfugh the points (3, 2) and (11, 7). Round your
answer to 1 decimal place.
slope
Y2M
32-1
Work Shown:
m = (y2-y1)/(x2-x1)
m = (7-2)/(11-3)
m = 5/8
m = 0.625
m = 0.6
What is the slope of the line containing (-2,5) and (4, -4)?
O A. -2
O B.
3
2
O c. 2
O D.
3
2
Answer: slope is -3/2
Step-by-step explanation:
(-2,5) (4,-4)
Use the slope formula y2-y1/x2-x1
5-(-4)/-2-4 = -3/2
Answer:
The slope of the line containing (-2,5) and (4,-4) is [tex]-\frac{3}{2}[/tex]
Step-by-step explanation: