(x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.
What is transformation?Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.
here, we have,
Given the rule of transformation:
(x, y) → (x+2, y+3)
If we move horizontally 2 units to the right, 2 is added to the x-coordinate of any given point, and then 3 units up.
In other words,
(x, y) → (x+2, y+3) means Translation 2 units right and 3 units up.
For example,
Let say if we have the point A(4, 5)
Using the translation rule:
(x, y) → (x+2, y+3)
A(4, 5) → A'(4 + 2, 5 + 3) → A'(6, 8)
Therefore, the new position of A(4, 5) after translating 3 units right and 2 units up would be: A'(6,8).
Hence, (x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.
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Suppose g(x) = f(x - 1) - 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
D is your answer i believe
Step-by-step explanation:
using g(x), -1, which is our change of x will go right. -5 is our change in y, so therefore it goes down. negative means down, positive means up for our change of y. for our change of x, negative goes right, and postive goes left. thats why i think the answer is d
Please help, will mark brainliest
Answer: 10
Step-by-step explanation:
Question A:
The formula to find the hypotenuse is c²=a²+b²
So you would insert the numbers into the formula which would be c²=8²+6²
8²=64
6²=36
36+64=100
So c²=100
Then you want to find c on its own so you have to square root 100.
The square root of 100 is 10.
You have to use this method for the rest of the triangles.
The hypotenuse of the triangles are solved
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of sides of the triangle are
a)
a = 8
b = 6
Now , From the Pythagoras Theorem , The hypotenuse² = base² + height²
c = √ ( 8 )² + ( 6 )²
c = √100 ≈ 10
b)
a = 11
b = 7
c = √170 ≈ 13.0
c)
a = 13
b = 6
c = √205 ≈ 14.3
Hence , the hypotenuse of the triangles are solved
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what is the total surface area of a cylinder with a base of 11m and a height of 7m
Answer:
V = 1692.46 m3
Step-by-step explanation:
V = π· r2· h
V = π· 72· 11
V = 1692.46 m3
Answer:
Step-by-step explanation:
A=2*π*r*h+2*π*r^2 ( This is the formula for surface area of cylinder )
As given
base = 11m so we have to get the radius = 11/2 = 5.5m
height=7m
now putt in formula, we get
=2*π·*(5.5)*(7)+2*π*(5.5)^2
=431.96899m^2
shopkeeper sells tins of the same dog food in packs of four or packs of six.
Packs of four tins cost £1. Packs of six tins cost £1.20
Which is the best value for money?
You must show your working.
Answer:
Pack of 6
Step-by-step explanation:
Pack of 4 = £1
Packs of 6 = £1.20
Price per unit of each pack:
Pack of 4 ;
Unit price : cost / units
Unit price = £1 / 4 = £0.25
Pack of 6 ;
Unit price : cost / units
Unit price = £1.20 / 6 = £0.20
Pack of 6 is the best value for money as it has a lower unit price
The measures of two angles in a triangle are shown in the diagram.
48°
Which equation can be used to find the value of x?
Answer:
H is correct
Step-by-step explanation:
y varies directly as x and inversely as the square of z. y = 65 when x = 80 and z=4. Find y when x= 18 and z=3.
Answer: y
=
18
Explanation:
As
y
varies directly as
x
, we have
y
∝
x
. Also it varies inversely as square of
z
, which means
y
∝
1
z
2
.
Hence,
y
∝
x
z
2
or
y
=
k
×
x
z
2
, where
k
is a constant.
Now when
x
=
80
and
z
=
4
,
y
=
10
, so
10
=
k
×
80
4
2
=
k
×
80
16
=
5
k
Hence
k
=
10
5
=
2
and
y
=
2
x
z
2
.
So when
x
=
36
and
z
=
2
,
y
=
2
×
36
2
2
=
72
4
=
18
Step-by-step explanation:
2. An atom is found to have 32 protons, 40 neutrons, and 32 electrons
a. Recall the mass of a proton, in atomic mass units
Answer:
Ms.Masters ordered pencils and markers for her cllass.
She ordered 16 boxes of pencils with 32 pencils and each box
she ordered 8 times as many pencils as markers
how many markers did ms.masters order
Step-by-step explanation:
Hope this is Correct ^_^....
Answer:
She ordered 64 markers.
Step-by-step explanation:
She ordered 16 boxes with 32 pencils inside totaling 512 pencils altogether.
32 x 16 = 512 pencils
She there were 8 times as many pencils as markers.
markers = 512 pencils/8=64 markers
Cashews cost $6.45 a
pound, how much
would it cost to buy
three and a quarter
pounds of cashews?
Answer:
$20.96
Step-by-step explanation: 6.45 times three equals 19.35 plus a quarter of 6.45 equals 1.6125 which you round to 1.61. So 19.35+1.61= 20.96
Explain the meaning of f(0)=0
The expression f(0) represents the y-intercepts on the graph of f(x). The y-intercepts of a graph is the point where the graph crosses the y-axis.
please help me with this!!!
Answer:
126 m^2
Step-by-step explanation:
We can use the formula of the area of a parallelogram:
Area = base x height Area = 14 x 9Area = 126 m^2Hope this helps!!
Answer:126m^2
Step-by-step explanation:
The area of a parallelogram is the same as a rectangle. You must do 9*14=126.
Write 1.452 × 103 as an ordinary number?
Answer:
150
Step-by-step explanation:
Someone help Please and make sure it’s right :)
Answer:
Step-by-step explanation:
its 9
PLS HELO ME IT WILL MEAN ALOT!!
Ive been struggling for ages :(
Answer: 10 Miles
Step-by-step explanation:
It is actually 9.94194 miles, but if you round it up, you get ten.
how do you find area of a shape?
Answer:
The area of a rectangle is the length times width.
Step-by-step explanation:
At a zoo, the price of 4 adult tickets and 6 child tickets is $77.The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult and for one child?
Answer:
the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
Step-by-step explanation:
Given that:
the price of 4 adult tickets & 6 child tickets = $77
the price of 6 adult tickets & 4 child tickets = 83
then the price of 1 adult ticket and 1 child ticket will be:
Let assume that the cost of 1 adult ticket to be $p
Then;
the cost of 4 adult ticket = $4p
Similarly, the cost of 6 adult ticket = $6p
However, assuming that the cost of 1 child ticket is $q
Then;
the cost of 6 child ticket = $6q
the cost of 4 child ticket = $4q
∴
We can express them with their given prices that:
4p + 6q = 77 --- (1)
6p + 4q = 83 --- (2)
From equation (1), let 4p = 77 - 6q
Then; [tex]p = \dfrac{77 - 6q}{4}[/tex]
replace the value of p into equation (2)
∴
[tex]6 \Big ( \dfrac{ 77 - 6q }{4}\Big) + 4q = 83[/tex]
[tex]\dfrac{462 - 36q}{4}+ 4q = 83[/tex]
[tex]115.5 - 9q + 4q = 83 \\ \\ 115.5 -5q= 83 \\ \\ 115.5 - 83 = 5q \\ \\ 32.5 = 5q[/tex]
[tex]q= \dfrac{32.5}{5}[/tex]
q = 6.5
Since q = 6.5, then using equation (1)
4p + 6(6.5) = 77
4p +39 = 77
4p = 77 -39
4p = 38
p = 38/4
p = 9.5
Thus, the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
Need help on this... First one to answer this correctly, I will give you a BRANLIST
Answer:
wheres the problem?
Step-by-step explanation:
HELP! 8TH GRADE MATH PLS LOL
——————————————
Find the value of y when x= -8
2y
— = 3x+ 34
3
[tex]{ \large{➢ \: \: \bf{x = - 8}}}[/tex]
Solution:-[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = 3 \times - 8 + 34}}}[/tex]
[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = - 24 + 34}}}[/tex]
[tex]{ \large{ \bf{ ➢ \: \: \cancel{2}y = 3 \times { \cancel{(10)} {} \: \: ^{5} }}}}[/tex]
[tex]{ \large{ \therefore{ \bf{y = 15 \: \: Ans.}}}}[/tex]
A car dealership increased the price of a certain car by 3%. The original price was $39,600.
Answer:
$40,788
Step-by-step explanation:
3% of 39600 = 1188
increased price = 39600 + 1188 = $40,788
What’s 1/4 divided by 7 in lowest terms PLEASE HURRY AND ANSWER
(PLEASE HELP!!) Which is the equation of the line in slope-intercept form?
Answer:
its a
Step-by-step explanation:
In a classroom 3/5 of the students are boys. What is the ratio of girls to boys
What is the volume (in cubic feet) of the composite shape rounded to the nearest whole number?
Answer:
Peppa does not know
Step-by-step explanation:
**URGENT** PLEASE HELP WILL GIVE BRAINLIEST
Answer:
they are both 0 since they would not appear on a graph
Step-by-step explanation:
The weather report says there is a 91% chance it will rain tomorrow. Should you get ready to use an umbrella?
Question 1 options:
1 Yes
2 No
3 maybe
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which graph best represents this relationship?
Answer:
The answer would be B !
Step-by-step explanation
Luis has 4 baseball cards. Jonah has 5 times as many baseball cards as Luis. How many baseball cards does Jonah have?
I need help
Answer:
4 times 5 equals 20 so that's your answer
Step-by-step explanation:
:)Hope this helps!!
Answer:
20 baseballs
Step-by-step explanation:
Luis has 4balls and Jonah has 5times(as many baseballs card as Luis)
5(4)=20
hence,Jonah has 20cards
Solve for r.
–6(r − 98) = 78
Answer:
r=85
Let's solve your equation step-by-step:
−6(r−98)=78
Step 1: Simplify both sides of the equation
−6(r−98)=78
(−6)(r)+(−6)(−98)=78(Distribute)
−6r+588=78
Step 2: Subtract 588 from both sides
−6r+588−588=78−588
−6r=−510
Step 3: Divide both sides by -6
−6r/−6=−510/−6
r=85
Answer:
r=85
Answer:
85
Step-by-step explanation:
–6(r − 98) = 78
expand:
-6r+588=78
588-78=510
6r=510
510÷=85
An angle measures 144° less than the measure of a supplementary angle. What is the measure of each angle?
Answer:
one angle = 162
another = 18
Step-by-step explanation:
one angle = x = 162
another angle = x - 144 = 162 - 144 = 18
x + x - 144 = 180
x + x = 180 + 144
2x = 324
x = 324/ 2 = 162
I hope im Right! !!
I need help asap!!!!!
Which of the following possibilities will form a triangle? (5 points)
Side = 15 cm, side = 6 cm, side = 8 cm
Side = 15 cm, side = 6 cm, side = 9 cm
Side = 16 cm, side = 9 cm, side = 6 cm
Side = 16 cm, side = 9 cm, side = 8 cm
Answer:
16 cm, side = 9 cm, side = 8 cm
Step-by-step explanation: