Answer:
we conclude that:
If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruentStep-by-step explanation:
A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.
The image can be obtained by multiplying the measure of the original object by a scale factor.
If the scale factor > 1, the image is stretched
If the scale factor < 1, the image is reduced
If the scale factor = 1, the image and object will be congruent
For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.
Dilation with scale factor 2, multiply by 2.
(x, y) → (2x, 2y)A(2, 2) → (2(2), 2(2)) = A'(4, 4)
So, the image point A'(4, 4) is enlarged.
Dilation with scale factor ½, multiply by ½.
(x, y) → (½x, ½y )A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)
So, the image point A'(1, 1) is reduced.
Therefore, we conclude that:
If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruentFind the series in A.P whose sum to n terms is n*(n+2)
Answer:
3, 5, 7, 9, 11, .........
Step-by-step explanation:
Given
[tex]S_{n}[/tex] = n(n + 2) , then
S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3
S₂ = 2(2 + 2) = 2(4) = 8
S₃ = 3(3 + 2) = 3(5) = 15
Thus
a₂ = S₂ - S₁ = 8 - 3 = 5
a₃ = S₃ - S₂ = 15 - 8 = 7
The first 3 terms are 3, 5, 7
This is an AP with common difference d = 2, then
a₄ = a₃ + 2 = 7 + 2 = 9
a₅ = a₄ + 2 = 9 + 2 = 11
and so on
ILL MARK U BRAINLIEST!!!
Answer:
20
Step-by-step explanation:
first take out the cost of the cup 31.75-6.75=25
then divide by the cost of the refills 25/1.25=20
hope this helps :)
HELP ME PLS!!!!!!!!!!!!!!!!!!!!
Answer:
1) Yes because the slope, 10x, is constant
2) Yes for every 1 hour of baby sitting $10 dollars is earned.
Consider Brainliest!
Draw JKL on the coordinate plane given the above information.
translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.
Step-by-step explanation:
Hope this helps, happy learning!!!
The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form.
Depending on the scale factor, the object's size can be raised or lowered.
The translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.
F ( -1, 0)
G (1, 0)
H ( -1, 1)
Thus, counterclockwise 90°
F' ( 0, 1)
G' (0, -1)
H' ( -1, -1)
Scale factor = 2
Then
F'' ( 0, 2)
G'' (0, -2)
H'' ( -2, -2)
The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.
To learn more about dilation, refer to;
brainly.com/question/13176891.
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2.
What is the area of a triangle whose vertices are J(-2,1), K(4,3), and L(-2,-5) ?
(7 points)
a. What is the formula for the area of the triangle?
b.
Find the length of the base. Do not round to a decimal.
C.
Find the length of the height. Do not round to a decimal.
d. Find the area of the triangle.
Answer:
Area: T = 18
a. The triangle area using Heron's formula: T= sqrt(s(s−a)(s−b)(s−c) )
b. 2[tex]\sqrt{10}[/tex]
c. h = 5.69
d. T = 18
Step-by-step explanation:
a. T= sqrt(s(s−a)(s−b)(s−c) )
T=sqrt( 11.16(11.16−10)(11.16−6)(11.16−6.32) )
T= sqrt(324 )
T =18
b. We compute the base from coordinates using the Pythagorean theorem
c= sqrt( ((−2−4)^2)+ ((1−3) ^2) )
c= sqrt(40) = 2sqrt(10)
c. Calculate the heights of the triangle from its area
Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36km/h and 48km/h respectively.
i) How long will it take train B to catch up with train A? ii) How far from the start were the two trains when they met
Answer:
Train B catches up with train A at 2.25 h
The two trains meet at 108 Km from the start
Step-by-step explanation:
Relative Speed
There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.
i)
Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.
[tex]X_h=36*0.75=27~Km[/tex]
When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.
Thus, for train B to meet with train A, the head start must be traveled at the relative speed.
The time needed to do that is:
[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]
t = 2.25 h
Train B catches up with train A at 2.25 h
ii) In the time calculated above, train B has traveled a distance of:
[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]
The two trains meet at 108 Km from the start
If the original quantity is 17 and the new quantity is 33, estimate the percent change.
Answer:
The estimate rounding to the nearest whole is 94%, the specific answer is 94.12%.
Step-by-step explanation:
calculator lol
What do variables and function have in common
Need help help help help
Answer:18 6/7
Step-by-step explanation:
Answer:
the answer is
=18 6/7
Step-by-step explanation:
Please help me with this question
pls, I really need help
+ 19=20+24
A 11
B 13
C 15
D 25
Answer:
its D 25
i just know stuff
An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?
Answer:
5.83
Step-by-step explanation:
70 / 12
Answer:
6.3
Step-by-step explanation:
You want to add 1, 5, and 70 up. Then you would get 76. Next you want to divide 76 into 12. And there you go, 6.3 is the answer
(I hoped this helped. This was a bit confusing to me and difficult but i wanna try to be useful for once lol..)
how do i do rotations
How many months does it take to earn $180 in interest on an investment of the principal is $5000 and the interest rate is 2%?
Answer:
months = 6.67
Step-by-step explanation:
time in years = interest / (principal amount x rate)
time in y = 180 / (5000 x 0.02)
time in y = 180 / 100
time in months = 12 / 1.8
months = 6.67
Answer:69
Step-by-step explanation:
After restocking the vending machine, Sonya determined that 2 packs of mints were sold for every 6 packs of gum. If a total of 160 packs of candy were sold, how many were packs of gum?
Answer:
80
Step-by-step explanation:
160÷2=80 yay!!!!!!!!!!!
Answer:
(By mints I hoped you meant candy) 480 packs of gum
Step-by-step explanation:
2 packs of candy for every 6 packs of gum. Divided beach side by two to get ration of 1:3. This means that for every 1 pack of candy 3 packs of gum are sold. 160 x 3 = 480.
Write the equation of the line, in point-slope form, that has a slope of and passes through the point (-6, 4). Fill in point-slope form. Y-___ =___(x-__)
Answer:
y - 4 = -5(x - -6)
Step-by-step explanation:
its correct
>
X
1. Explain why the slope of line a is
6
13
12
11
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Can someone help. I need it ASAP
Answer/Step-by-step explanation:
10 is between the perfect squares of 9(3) and 16(4).
This means the square root of 10 is between 3 and 4.
The square root of 10 is about 3.162
So, it is less than 5.
Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False
Answer:
a. true
b. false
Step-by-step explanation:
On a coordinate plane, which axis is the horizontal axis, and which is the vertical axis? Is there a way to graph points that are not whole numbers? How do you think you can do that? Describe some real-world situations that remind you of the coordinate plane.
Answer:
Horizontal axis is X
Vertical Axis is Y
You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be
Battleship maybe? Or like the longitude and latitude on a map?
A map is a real-world example of a coordinate plane.
What is a coordinate plane?A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.
On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.
To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.
A map is a real-world example of a coordinate plane.
Learn more about the coordinate planes:
https://brainly.com/question/24134413
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What is the solution of 6d + 6 - 4d = 12 ?
How many solutions does this equation have?
-4 + 19 - 7f = -15 - 7f
no solution
one solution
infinitely many solutions
Answer:
No solution
Explanation:
-4+19-7f = -15-7
cancel terms on both sides ( add 7f on both sides)
Calculate the sum
-4+19= -15
-4+19=15
15 = -15
The statement 15 = -15 is false so there is no solution :)
the radius of the small circle is 0.5 millimeters the area of the large circle is 28.26 squared millimeters calculate the area of the state of region
There is a typo in the question. Where it reads 'state of' should read 'shaded'
Answer:
[tex]A=27.47\ mm^2[/tex]
Step-by-step explanation:
Area of a Circle
Given a circle of radius r, its area can be calculated as follows:
[tex]A=\pi r^2[/tex]
The area of the shaded region can be found by subtracting the area of the large circle minus the area of the small circle.
We already know the area of the large circle:
[tex]A_l=28.26\ mm^2[/tex]
Now we calculate the area of the small circle of radius r=0.5 mm:
[tex]A_s=\pi\cdot 0.5^2[/tex]
Calculating:
[tex]A_s=0.79\ mm^2[/tex]
The area of the shaded region is:
[tex]A=A_l-A_s=28.26\ mm^2-0.79\ mm^2[/tex]
[tex]\mathbf{A=27.47\ mm^2}[/tex]
If -3c/4=24, what is the value of c/2?
Answer: look it up lol
Step-by-step explanation:
find the length of an arc of 40° in a circle with an 8 inch radius
Answer:
8π/9 plz give brainlies.
Step-by-step explanation: luv u (:
At the zoo, for every 666 adult camels, there are 555 baby camels. There are a total of 444444 adult and baby camels at the zoo. How many baby camels are at the zoo? baby camels
Answer:
20
Step-by-step explanation:
plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?
What is the y-intercept of the trend line?
Y=___X +___
Answer:
slope = 3/2
y intercept = 2
y = 3/2x + 2
Step-by-step explanation:
to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)
(11-5) ÷ (6-2) =
6 ÷ 4 = 3/2
slope = 3/2
to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y
for the example im going to use the point (2,5)
5 = 3/2 (2) + b
5 = 3 + b
subtract three from both sides to find b (y-intercept)
b = 2
What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?
Group of answer choices
Answer:
54
Step-by-step explanation:
Evaluate the expression 2(n + 1) - 5 using n=4
Answer:
5
Step-by-step explanation:
2(4+1)-5
2(5)-5
10-5
5
Multiple Choice An equation of the line
whose slope is 3 and whose y-intercept is 8 is
? ?
A y = 8x + 3
C y = – 3x + 8
Ey = 3x - 8
B y = 3x + 8
D y = - 3x – 8
Answer:
y = 3x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 and c = 8 , thus
y = 3x + 8 ← equation of line