Answers:
a. T(4, -3)
b. T(-6, 5)
============================================
Explanation:
The "T" stands for "translation" (not transformation; even though a translation is a type of transformation).
When we say something like T(3,-2), we mean "move 3 units to the right and 2 units down". The first coordinate handles left/right movement. Positive for right, negative for left. It's just like what you'd encounter on an xy grid system. The second coordinate handles the up and down motions (positive = up, negative = down).
The notation T(3,-2) is basically the same as writing the rule [tex](x,y) \to (x+3,y-2)[/tex]
------------------------
It's perfectly possible to chain multiple translations together. The goal is to get it as one translation instead of two separate ones.
As you can probably guess, the T(1,-1) will have the point move 1 unit to the right and one unit down.
If we add 1 unit to the right on top of the x+3, then we bump it up to x+4
If we subtract 1 unit from the y-2, then we get to y-3
So we would go from [tex](x,y) \to (x+3,y-2)[/tex] to [tex](x,y) \to (x+4,y-3)[/tex]
This then condenses to the shorter notation T(4,-3)
It says "move 4 units to the right and 3 units down.
------------------------
An example is shown below involving the point (5,7).
The translation T(3,-2) moves point A to point B.
Then the translation T(1,-1) moves point B to point C.
We can directly move from A to C applying the translation T(4,-3).
------------------------
All of that above explained part (a). Part (b) is the same idea, but with different numbers. The order of translations doesn't matter.
Instead of repeating the same steps as above, I'll just talk about the shortcut.
If we had two translations T(a,b) and T(c,d) composited together, then they simplify to T(e,f) where e = a+c and f = b+d. It's as simple as adding the two corresponding coordinates.
So T(-4,0) and T(-2,5) combine to T(-6,5).
please help i will mark brainliest
Answer:
So I'm not sure if the shapes have to do anything for it but I solved for x
5. x = 1
AGAIN SORRY IF THIS IS WRONG I HAVENT DONE THIS KIND OF MATH IN 5 YEARS.
Year 8 maths Finding the rule using a table of values
Answer:
see explanation
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)
m = [tex]\frac{b-a}{1-0}[/tex] = b - a
y = (b - a)x + c
(a)
with coefficient of x being b - a
(b)
The line crosses the y- axis at (0, a ) ⇒ c = a
y = (b - a)x + a
The equation for line G is given by 5y = -2x - 20. Suppose line G is parallel to line R, and line E is perpendicular to line G. Point (-10,8) lies on both line R and line E. The equation for line R is y= ___. The equation for line E is y= ___.
Please help I need this
Answer:
3m-8
Step-by-step explanation:
Kelly = 8 less than (-8) 3 times Marcy (3m)
Thank You So Much!! I Need Help
Answer:
B
Step-by-step explanation:
plolynomial is (x+4)(x-0)(x-1)(x-4)
or x(x-1)(x+4)(x-4)
or (x²-x)(x²-16)
or x^4-x³-16x²+16x
HELP DUE IN 10 MINS!
Solve for x:
−12x + 4 = -7x - 16
Answer:
I HOPE IT WILL HELP YOU.
Have a great day ahead.
Can someone please solve 10 and 11
Answer:
10) 8 11) 10
Step-by-step explanation:
10)
12-4=8
? = 8
11)
7+2=9
19-9=10
TU = 10
[tex]\large \mathfrak{Solution : }[/tex]
10. Find TU :
Given values :
ST = 4 units SU = 12 unitsAs we saw :.
ST + TU = SU 4 + TU = 12 TU = 12 - 4TU = 8 units11. Find TU :
Given values :
ST = 2 unitsUV = 7 unitsSV = 19 unitsAccording to observation :
ST + TU + UV = SV 2 + TU + 7 = 19TU = 19 - 9 TU = 10 unitsWhat is the 20th term in the sequence f(n)=19-6×n for n≥0?
Please answer, I will give brainliest.
Point snatchers will be reported.
Answer: -101
Step-by-step explanation: f(n) = 19-6*n
f(20) = 19 - 6*20
f(20) = -101
Please help me I need to turn this in ASAP!! 30pts
Answer:
Step-by-step explanation:
MO bisects ∠LMN.
⇒ ∠LMO = ∠NMO
⇒ ∠LMN = 2 * ∠LMO
6x - 28 = 2* (x +34)
6x - 28 = 2*x + 2*34
6x - 28 = 2x + 68
Add 28 to both sides
6x = 2x + 68 + 28
6x = 2x + 96
Subtract 2x from both sides
6x - 2x = 96
4x = 96
Divide both sides by 4
x = 96/4
x = 24
∠LMO = x + 34 = 24 + 34 = 58
∠MNO = ∠LMO
∠MNO = 58°
if Y varies directly with X, and Y = -5 and X = 7, what is X when Y = -85?
Answer:
X = 119
Step-by-step explanation:
Step 1: Given
Y = -5 X = 7
Y = -85 X = n
Step 2:
-85 ÷ -5 = 17
Step 3:
17 × 7 = 119
Answer:
Y = -5 X = 7
Y = -85 X = 119
n = 119
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x
h(g(f(x))) = Ax² + B + C
Which is A: 4, -8, 8
Which is B: 20,-20,-40
Which is C: 50, -50, 25
(2x+5)(2x+5)
4x^2+10x+10x+25
4x^2+20+25
A=4
B=20
C=25
Can someone HELP ME WITH QUESTION 2 ONLY PLEASE!!! 20 points !!!
Step-by-step explanation:
1. Line l can be named as line FBD
2. B and C
3. Colinear:-A,B,C
No-Colinear:-F,B,C
4. 6
5. DE = 13
2 + 2x - 3 = 13
2x - 1 = 13
2x = 12
x = 12/2
x = 6
Answer:
The intersection of line l is AC and the intersection of line m is FD.
Intersection line means the line which passes the line by crossing it.
GUYS I NEED HELPPPPPP
PLEASEEEEEEEEEEE IF YOU CAN THEN TYSM
Answer:
198 cubic metres
Steps:
Find the area of cross section
Area if traingle + Area of square
1/2 × 3 × 4 + 4×4
6+ 16
22
Then times with the lenght (9)
22×9
I hope this helps, dont hesitate to ask for any question.
Mark me as brainliest is appreciated.Tq!!
Can someone Please! <3
Answer:
A= D , B=C
SO; angle D =102
A+B = 180
C+D=180
C+102=180 —> C = 180-102 = 78
So; C=78 , D=102I hope I helped you^_^
Answer:
angle C = 78
angle D = 108
Step-by-step explanation:
the measure of angle A is 102
To find the measure of angle C
let Angle C be x
102 + x = 180 (linear pair)
x = 180 -102
x = 78
angle C = 78
angle B = 78 (vertically opposite angles are equal)
angle D = 108 (vertically opposite angles are equal)
A line includes the points (2, 4) and (3, 10). What is its equation in slope-intercept form?
Answer:
6
Step-by-step explanation:
formula is y2-y1 / x2-x1
Step-by-step explanation:
first off find the gradient dy/dx
-6÷-1=6
y=6x+c
now substitute (2,4)
4=12+c
c=-8
y=6x-8
can you help me with this question? (angle names) thanks :)
Answer:
Option c because they can make 180° when added.
Answer:
c is the correct answer
have a great day
quick math question i got stuck on this please help for a mark on brainliest:)
Answer:
you have to change the sign from - to +
Step-by-step explanation:
-1.8 + k = 8.2
k = 8.2 + 1.8
k = 10
Answer:
sorry this is the way that I usually solve these kinds of problems but, She forgot to make -1.5 into a positive. if that makes sense
12. Find three consecutive even integers such that
the sum of the smallest integer and twice the
median integer is 20 more than the largest
integer.
Answer:
10, 11, 12
Step-by-step explanation:
Hi there!
Let x be equal to the smallest integer.
Let x+1 and x+2 be equal to the consecutive integers.
We're given that:
⇒ smallest integer + 2 × middle integer = 20 + largest integer
Construct an equation:
[tex](x)+2(x+1)=20+(x+2)[/tex]
Combine like terms:
[tex](x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10[/tex]
Therefore, the smallest integer is 10.
This makes the consecutive integers 11 and 12.
I hope this helps!
you had $430 but you are spending $8 each day which algebraic expresion describes this situation where d represents the number of days
Answer: 430-8d
Step-by-step explanation:
you start with 430 dollars and you spend 8 a day. you multiply 8 by the number of days and subtract that from 430.
The algebraic expression that describes the situation is 430 - 8d.
Given,
You have $430 but you are spending $8 each day.
We need to find the algebraic expression that describes this situation where d represents the number of days.
What is an algebraic expression?An algebraic expression is an expression which is made up of variables and constants.
Find the algebraic expression.
Total amount = $430
Amount spend each day = $8
Let the number of days be denoted by: d
If $8 is spent daily then 8d represents the amount spent for d days.
Now,
$430 is the amount from which the money has to be spent so,
430 - 8d is the required algebraic expression.
Thus the algebraic expression that describes the situation is 430 - 8d.
Learn more about how to make algebraic expressions here:
https://brainly.com/question/12925506
#SPJ2
can someone help me please
Answer:
21°
angles don't change in dilutions but lengths do
plssmark brainliesttt
Simplify (-7d3+5d+5d2-6d4)-(8d+5d2+2d4+3d3)
Answer: B. -8d⁴ - 10d³ - 3d
Step-by-step explanation:
Given expression
(-7d³ + 5d + 5d² - 6d⁴) - (8d + 5d² + 2d⁴ + 3d³)
Expand parentheses
(REMEMBER to change [+, -] signs when there is a [-] sign in front)
=-7d³ + 5d + 5d² - 6d⁴ - 8d - 5d² - 2d⁴ - 3d³
Put like terms together
=-6d⁴ - 2d⁴ - 7d³ - 3d³ + 5d² - 5d² + 5d - 8d
Combine like terms
=(-6d⁴ - 2d⁴) - (7d³ + 3d³) + (5d² - 5d²) + (5d - 8d)
=-8d⁴ - 10d³ + 0 - 3d
=[tex]\boxed{-8d^4-10d^3-3d}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
**Answers needed fast** Jason says his measurement is larger than Marco’s measurement because
0.819 is larger than 0.85
Is Jason correct? Explain your answer using words and numbers.
Answer:
Step-by-step explanation:
Jason is not correct because 0.819 is not larger than 0.85. Marco's number is larger.
The difference of a positive integer and an integer that is greater than it
Answer: Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, …. ... If an integer is greater than zero, we say that its sign is positive. If an integer is less than zero, we say that its sign is negative
so 8 9 10 is positive and -8 -9 -10 is negative
they cancel each other out like 8+-8 = 0 and -8+4=-4
1/8 of a mile was ran in 1 1/2 min how long will it take to reach a mile HELP
Answer:
12 minutes.
Step-by-step explanation:
If it took 1.5 minutes to run 1/8 of a mile, you need to multiply both numbers by 8 (whole number) to get your answer.
a. 1/8 × 8/1 = 8/8 or ONE WHOLE MILE
b. 1.5 × 8/1 = 12
The mile is fractioned into 8 parts, multiply by 8 to get a whole mile.
5 1/4-2 2/3
Solve and show equations
Answer:
5 1/4 - 2 2/3 = 31/12 = 2 7/12 = 2.5833333
Step-by-step explanation:
1. Conversion a mixed number 5 1/4 to a improper fraction: 5 1/4 = 5 1/4 = 5 · 4 + 1/4 = 20 + 1/4 = 21/4
To find new numerator:
a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4
b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21
c) Write a previous answer (new numerator 21) over the denominator 4.
Five and one quarter is twenty-one quarters
Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3= 6 + 2/3 = 8/3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Subtract: 21/4 - 8/3 = 21 · 3/4 · 3 - 8 · 4/3 · 4 = 63/12- 32/12 = 63 - 32/12 = 31/12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - twenty-one quarters minus eight thirds = thirty-one twelfths.
anyone solve this maths questions from integers
Answer:
(i) -3
(ii) 2
Step-by-step explanation:
(i) (-72/12) ÷ 2
-6 ÷ 2
-3
(ii) -84 ÷ (-40 + -2)
-84 ÷ (-42)
2
What is the solution of the equation m - 8 = -14?
[tex]\large\bf\blue{ \diamond} \rm \: \: m \: - \: 8 \: = \: - 14 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 14 \: + \: 8 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 6[/tex]
antoine brought some cans of soda to a party. His friends drank 6 cans. CReate an algebraic expression to represent how many can are left
Answer:
n - 6 = p
Step-by-step explanation:
what are vertical angles always equal to
Answer:
Vertical angles are always equal to one another. In general, we can say that, 2 pairs of vertical angles are formed when two lines intersect.
Step-by-step explanation:
Parallel lines are lines that do not meet at any point in a plane.
Intersecting lines are straight lines that meet or crosses each other at a certain point.
The diameter of a circle has endpoints M(12, 3) and P(4, -1). What are the coordinates of the center of the circle?
Answer:
8,1
Step-by-step explanation:
center = midpoint of the 2 points
12 +4/2 , 3-1/2
8, 1