Answer:
The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.
Step-by-step explanation:
From the Linear Algebra, we define the translation of a given point as:
[tex]O'(x,y) = O(x,y) + T(x,y)[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Original point, dimensionless.
[tex]T(x,y)[/tex] - Translation vector, dimensionless.
[tex]O'(x,y)[/tex] - Translated point, dimensionless.
If we know that [tex]A'(x,y) = (1, -5)[/tex] and [tex]A(x,y) = (4,-2)[/tex], then the translation vector is:
[tex]T(x,y) = A'(x,y)-A(x,y)[/tex] (2)
[tex]T(x,y) = (1,-5)-(4,-2)[/tex]
[tex]T(x,y) = (-3,-3)[/tex]
If we know that [tex]B(x,y) = (7,-4)[/tex], [tex]C(x,y) = (2,-5)[/tex] and [tex]T(x,y) = (-3,-3)[/tex], then the translated points are, respectively:
[tex]B'(x,y) = B(x,y)+T(x,y)[/tex] (3)
[tex]B'(x,y) = (7,-4) +(-3,-3)[/tex]
[tex]B'(x,y) = (4, -7)[/tex]
[tex]C'(x,y) = C(x,y) +T(x,y)[/tex]
[tex]C'(x,y) = (2,-5) + (-3,-3)[/tex]
[tex]C'(x,y) = (-1, -8)[/tex]
The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.
Write the slope-intercept form of the equation of the line given the slope
and y-intercept
Slope =-1, y-intercept = 5
Answer:
y=-1x+5.
Step-by-step explanation:
Replace m with -1, which is the slope you gave, and
replace b with 5, the y-intercept you gave,
in the equation y=mx+b.
y=-1x+5
In a unit circle, ø = 2pi radians What is the terminal point?
A. (0,1).
B. (0, -1)
C. (-1,0)
D. (1,0)
Answer:
The terminal point is (1, 0) ⇒ D
Step-by-step explanation:
In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.
The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1In a unit circle
∵ Ф = 2π radians
∵ 2π radians = 360°
→ By using the 1st rule above
∴ The terminal point is (1, 0)
Can anybody help please ??
Answer:
d because it makes the most sense
Step-by-step explanation:
Answer:
D- 50
Step-by-step explanation:
.6 (60%) times 50 = 30
x/3a*x/4a
________
x/8a
Step-by-step explanation:
First let's simplify the upper part which is without x/8a
3a/x multiply xa/x
3a xa
__ x __
x x
x the denominator of 3a is cancelled with the x from xa the numerator.
that leaves us with
3a × a
__
x
we get 3a squared divided by x =
3a^2
____
x
now since we're dividing it with x/8a
3a^2 x
____ ÷ _____
x 8a
we change the sign ÷ to x so we flip the x/8a
3a^2 8a
_____ x ____
x x
8x3 = 24
a^2 x a = a^3
x multiply x = x^2
the final answer
24a^3
_____
x^2
NEED HELP ASAP WILL MARK BRAINLIEST What is the value of m? 13m+3−56m=−15 m=−36 m=−27 m = 27 m = 36
Emily and Olivia are selling chocolate bars. Emily sold twice as many as Olivia. They sold a total of 48 bars. How many chocolate bars did they each sell?
Answer:
Olivia sold 16 chocolate bars and Emily sold 32.
Step-by-step explanation:
Let's set the amount of chocolate bars Olivia sold as x.
Since Emily sold twice as many, she would have sold 2x chocolate bars as a result.
Therefore, since the total is 48 bars, the equation would be [tex]x + 2x = 48[/tex].
[tex]x + 2x = 48[/tex]
[tex]3x = 48[/tex]
[tex]x = 16[/tex]
Hence, Olivia sold 16 chocolate bars.
Substituting the new value into the equation, we would find that Emily had sold 2x = 2(16) = 32 chocolate bars.
Checking the answer, we would find that (16 + 32) chocolate bars is indeed 48 chocolate bars, which fits the question.
Finally, we can arrive at the conclusion that Olivia sold 16 chocolate bars and Emily sold 32.
Hope this helped!
Please give the highest value
Which is not equivalent to the others please help
Answer:0.801
Step-by-step explanation:
In order to join a hip-hop dance crew, there is a 30$ initiation fee and a 4$ monthly fee. If you were to write an expression to represent the situation, what is the constant
Answer:
30 is your constant
Step-by-step explanation:
y = 4x + 30 ends up being your equation and a constant is the # without a variable. That is why the constant would be 30.
SOLVE FIRST GETS BRAINLIEST WRONG ANSWERS WO
N'T EARN ANYTHING
Steph makes scones in three flavours: cheese, fruit and plain. She makes: • 4 times as many fruit scones as cheese scones, • 3 times as many plain scones as cheese scones. She sells each scone for the same price. She makes a total of £96 from the sale of all the scones. How much does she make from the sale of the plain scones?
Upon drafting an equation based on the information provided and solving it, it is concluded that Steph earns £36 by selling the plain scones.
An equation is a combination of numbers, variables, functions, or often symbols according to a peculiar rule. It consists of expressions and equality sign(=).
Let's assume that Steph earns x from selling cheese scones then she earns 4x from selling fruit scones and 3x from selling plain scones.
The total amount she earns by selling all the scones is 96.
So,
x + 4x + 3x = 96
8x = 96
x = [tex]\frac{96}{8}[/tex]
x = 12
The amount she earns by selling plain scones = 3 × 12 = 36.
So, she makes £36 by selling the plain scones.
Learn more about Equation here:
https://brainly.com/question/28953876
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What is the y-intercept of the line
(0, -5)
Solution:The y-intercept of the line is the point where the line intersects the y-axis.The y-intercept is written like this: (0, b) where "b" stands for the y-intercept of the line.The line touches the y-axis (the vertical axis) at (0, -5)Therefore, the y-intercept of the line is (0, -5) or -5.Hope it helps.
Do comment if you have any query.
please I need help in this...it's for maths please
Answer:
1.6962 to 2.d.p = 1.700.007395 = 0.007 to 3d.p0.4247 = 0.425 to 3.d.p0.007395 = 0.0074 to 4.d.pSignificant Figures
32549 = 32500 to 3.s.f909520 = 910000 to 3.s.f32549 = 32550 to 4.s.f909520 = 909500 to 4.s.fStep-by-step explanation:
Answer:
hi hifsa please talk to me I wanna talk u
PLEASE I need help can u please explain this question to me ASAP I WILL GIVE YOU WD BRAINLIST ANSWER PLEASE
Answer:
wouldn't it be 6?
Step-by-step explanation:
Ahmed is saving his money to buy a IPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed ro have enough momey to buy the Ipad? Answer Choices: A: 2 weeks, B: 3 weeks, C: 4 weeks or D: 5 weeks
Answer:
5
Step-by-step explanation:
Please help me I’m not good at math ❤️
0.78= 78%
13/20=0.65
7/25=28%
17/50=34%
HELP PLZ! SERIOUS ANSWERS ONLY THO!
You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a numerical proof in an engaging way! Make it so the whole world wants to purchase your polynomial identity and can't imagine living without it!
You may do this by making a flier, a newspaper or magazine advertisement, making an infomercial video or audio recording, or designing a visual presentation for investors through a flowchart or PowerPoint.
You must:
Label and display your new polynomial identity
Prove that it is true through an algebraic proof, identifying each step
Demonstrate that your polynomial identity works on numerical relationships
Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when different binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity.
Column A Column B
(x − y) (x2 + 2xy + y2)
(x + y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)
EXIT
A line passes through (-2,5) and has slope ś
1/3. What is an equation of the line in point-slope form?
There are 5 hamburgers and 6 hotdogs. What is the ratio of hamburgers to hot dogs?
Answer:
5:6
Step-by-step explanation:
easy .
please Mark brainliest
Answer:
5:6
Step-by-step explanation:
There are 5 burgers and 6 hotdogs.
5:6
This is the most simplified ratio because 5 nor 6 share a common factor.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
write an equation in point-slope form of the line that passes through the point (-3,-2) and has a slope of -3
Answer:
y+2=-3(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-3(x-(-3))
y+2=-3(x+3)
What is the best estimate of the sum of the fractions?
31/4+17/3+8/18
Answer:
The answer is 14 1/2.
Step-by-step explanation:
The reason this is the answer is because once you add it all up u get 13 31/36 and estimated it is closer to thats than any other answer choice.
Answer:
I got c on edg 2021
Step-by-step explanation:
Help me please!!!!!!
Answer:
c
Step-by-step explanation:
Since the perimeters are equal, then equate the perimeter expressions, that is
4(x - 2) = 6([tex]\frac{1}{2}[/tex] x + 5) ← distribute parenthesis on both sides
4x - 8 = 3x + 30 ( subtract 3x from both sides )
x - 8 = 30 ( add 8 to both sides )
x = 38
Substitute x = 38 into either of the 2 perimeter expressions
perimeter = 4(x - 2) = 4(38 - 2) = 4 × 36 = 144 in → c
whats 1+1 ? please help my teacher isnt going to give me candy if i dont answer this :(
Answer:
2
Step-by-step explanation:
......... lol
you can have candy
Answer:
2
Step-by-step explanation:
1+1= 2that is an example
get that candy
two agent angles of a parallelogram are in the ratio 1 by 3 find the measures of all the angles
Answer:
The measure of all the angles are;
45°, 135°, 45°, and 135°
Step-by-step explanation:
The given parameters are;
The ratio of two adjacent angles of the parallelogram = 1:3
Let x represent one of the adjacent angles, and let y represent the other adjacent angle
Given that two adjacent angles of a parallelogram are supplementary, we have;
x + y = 180°
x:y = 1:3
Therefore, y = 3 × x = 3·x, which gives;
x + 3·x = 180°
4·x = 180°
x = 180°/4 = 45°
y = 3 × x = 3 × 45° = 135°
Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;
45°, 135°, 45°, and 135°.
The mayor of melvins town choose 160 students form his school to attend a city debate. This amount is no more than 1/4 of the students in melvins school. What is the least possible number of student that attended melvins school
Answer: 640 students.
Step-by-step explanation:
given data:
number of student chosen to attend by the mayor = 160
amount this student represents of the total population = [tex]\frac{1}{4}[/tex]
solution:
since [tex]\frac{1}{4}[/tex] was chosen which is 160 this means that [tex]\frac{1}{4} is \geq 160[/tex]
therefore;
[tex]\frac{1}{4} = 160\\[/tex]
multiply both sides by 4
[tex]\frac{1}{4} . 4 = 160 .4\\= 640[/tex]
the least number of students that attend melvins school is 640.
write the equation of a line that is parallel to x=-5 and that passes through point (1,4)
Answer:
equation is then y= -5x + 9
Step-by-step explanation:
First the equation of a line is y=mx+b
if parallel the slope is the same
so m= -5
y= -5x +b
plug in point (1,4) into equation to find by
4= -5(1) + b
b=9
equation is then y= -5x + 9
please give thanks, hit the heart button :)
This is only for a brain puzzle I am doing.
How many do you see?
whom ever gets it right gets brainly.
Answer:
I see 4 caz their not all triangle?
Answer:
4 triangles
Step-by-step explanation:
To me, only the shapes on the top are triangles. And the big triangle that the shapes are in. The ones on the bottom and middle row don't look like triangles to me.
8.563+4.8292=
Explain.
Step-by-step explanation:
[tex] \: \: \: \: 8.563 \\ + 4.8292 \\ = 13.3922[/tex]
Answer:
8.563 + 4.8292
=8.563 + 4.8292
=13.3922
Round it to the 10 place is 13.4
Find the missing side length in the right triangle.
I’m pretty sure the answer is 6, please correct me if I am wrong.
Answer:
12.7
Step-by-step explanation:
Margo can make 75 smoothies in 1.5 hours. How
many smoothies can Margo make in one hour?
Answer: 50 smoothies in one hour
Step-by-step explanation:
1.5 / 3 = 0.5
75 / 3 = 25.
0.5 x 2 = 1.
25 x 2 = 50.
Margo can make 50 smoothies in One hour.
Hope this helps!
Answer:
Margo can make 50 smoothies in one hour.
Step-by-step explanation:
Let's look at the hours first. Margo can make 75 smoothies in 1.5 hours. 1.5 divided by 3 is 0.5. Then, 0.5 x 2 is 1. Now that we have the number of hours we need (1 hour), we have to do the exact same thing to the amount of smoothies.
75 divided by 3 is 25. Then, 25 x 2 is 50 smoothies.
So, Margo can make 50 smoothies in one hour.
Hope this helped!