Answer:
[tex]A' =(-y,x)[/tex]
Step-by-step explanation:
Given
Represent point A as thus;
[tex]A = (x,y)[/tex]
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
[tex]Pos = (y,x)[/tex]
Then, y is negated to give A'
[tex]A' =(-y,x)[/tex]
How to prove the vertical Angles Theorem
Answer:
see below
Step-by-step explanation:
Angles opposite each other when two lines cross. (see attached)
in the attached example, the angle a° and b° are vertical angles.
Step-by-step explanation:
[tex]
\underline{\bf{Given\::}}
Given:
\underline{\bf{To\:find\::}}
Tofind:
\underline{\bf{Explanation\::}}
Explanation:
\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}
\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}
⟶
−10
1
=
v
1
−
−30
1
⟶
v
1
=
−10
1
+
30
1
⟶
v
1
=
30
−3+1
⟶
v
1
=
30
−2
⟶
v
1
=
−15
1
⟶v=−15cm
\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}
MAGNIFICATION:
\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}
↦m=
Heightofobject(O)
Heightofimage(I)
=
Distanceofobject
Distanceofimage
=
u
v
↦m=
−15
−30
↦m=2cm
Thus;
The magnification will be 2 cm .
[/tex]
(- x2 + 9xy) – (x2 + 6xy - 8y2) =
Answer:
(15x- 8y)
Step-by-step explanation:
"y2" was replaced by "y^2"
((0-(x2))+9xy)+(((x2)+6xy)-23y2)
15xy - 8y2
= y • (15x - 8y)
NEED HELP!! ILL MARK YOURE ANSWER BRAINLIST.
1) In 2005 the number of seniors at Falcon decreased by 63 students over the 9 month school year. If the decrease was the same over the entire 9 months, write the monthly decrease as a quotient of integers and find the monthly decrease. please show you're work.
Answer
9
Step-by-step explanation:
Divide 63 by 9 months
7 students per month
63 / 9 = 7
-3 ( -4 - 5x) = -18 i'll help with your questions :)))
Answer:
-15
Step-by-step explanation:
-3(-4-5x)= -18
12+15x= -18-12
15x= -30
x= -30÷15
x= -15
Choose the correct equation for the line shown on the graph?
Answer:
Option 3
[tex]y=-\frac{1}{4} x-1[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
where m = slope, and b = y intercept
The y intercept is -1. That is because the given line intersects the y axis at the point (0,-1)
The slope is -1/4
That is because it goes up one, and right -4. That means it goes up 1 and left 4.
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
ΔABD ≅ ΔCDB
Step-by-step explanation:
Since a = 3, we can sub 3 into the expressions and then get a value for each side length.
AB: 3 + 7 = 10
BC = 16
CD: 12 - 2 = 10
DA: 18 - 2 = 16
Hence:
AB = CD (both have sidelengths of 10)
AD = CB (both have sidelengths of 16)
BD = BD (common line)
Therefore: ΔABD ≅ ΔCDB Q.E.D.
Which illustration shows the correct construction of an angle bisector?
Option (3) will be the correct construction of the angle bisector.
Steps to construct an angle bisector are as followed,
Step - 1
Put the compass at the vertex of the angle.
Step - 2
Draw an arc cutting both the arcs at two distinct points.
Step - 3
Draw two arcs from these points intersecting at a point.
Step - 4
Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.
Therefore, Option (3) will be the correct option.
Learn more,
https://brainly.com/question/8607612
Find the quotient 122 and -2.
A. 124
B. 61
C. 61
D. 120
Answer:
C
Step-by-step explanation:
The true answer is -61
Tip: If you want the correct answer you can not have a typo. Just a heads up.
PLEASE HELP THIS IS DUE IN 6 MinUTES
what is the value of each variable, 4n+5 + 8n-5 = 180
Answer:
n = 15
Step-by-step explanation:
4n + 5 + 8n - 5 = 180
~Combine like terms
12n = 180
~Divide 12 to both sides
n = 15
Best of Luck!
Gente
Vayan
Aaaa
MI
PERFIL
Necesito
Su
Ayuda
(Help ASAP!!)
You play a game on your phone. For every correct move you make, you
receive 50 points. For every second that it takes you over 2 minutes to complete the
game, you lose 3 points. You complete the game in 2 minutes 10 seconds using
3 correct moves. What is your score?
Answer:
120 is the score
Step-by-step explanation:
3 correct moves X 50 points for a correct move = 150 points
-3 points for every seconds over the time X 10 seconds over 2 minutes = 30 points lose -30
150 - 30 = 120
Solve x-6y = 13 for y.
Answer:
y = 1/6x -13/6
Step-by-step explanation:
x-6y = 13
Subtract x from each side
x-x-6y =-x+ 13
-6y = -x+13
Divide each side by -6
-6y/-6 = -x/-6 + 13/-6
y = 1/6x -13/6
X − (5 − 3x) ≤ 2x − 1 Group of answer choices Number line with a filled circle at -1 and shading to the left Number line with a filled circle at -1 and shading to the right Number line with a filled circle at 2 and shading to the right Number line with a filled circle at 2 and shading to the left
Given:
The inequality is
[tex]x-(5-3x)\leq 2x-1[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]x-(5-3x)\leq 2x-1[/tex]
[tex]x-5+3x\leq 2x-1[/tex]
[tex]4x-5\leq 2x-1[/tex]
Subtract 2x from both sides.
[tex]4x-5-2x\leq 2x-1-2x[/tex]
[tex]2x-5\leq -1[/tex]
Add 5 on both sides.
[tex]2x-5+5\leq -1+5[/tex]
[tex]2x\leq 4[/tex]
Divide both sides by 2.
[tex]x\leq 2[/tex]
It means, the numbers less than 2 or 2 are included in the solution set.
Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.
Therefore, the correct option is D.
Hi if you can answer this i'll mark u brainllest and give you MORE points
What are three equivalent decimals for the number -4.2323?
Answer:
-4.23230, -4.232300, -4.2323000
Answer:
1) -4.23230 2)-4.232300 3)-4.2323000
Step-by-step explanation:
Where is my brainliest and my points :)
Which pairs of numbers have a greatest common factor of 9
Answer:
81 and 72
Step-by-step explanation:
Answer:
81 and 72
Step-by-step explanation:
A store pays $98 for a winter coat and marks the price up 10%.What is the price?
Answer:
107.8
Step-by-step explanation:
convert 10% into decimal
1.1
then calculate
98 × 1.1
107.8
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
$107.80
Step-by-step explanation:
10% of $98 is $9.80.
9.80 + 98 = 107.80
state whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. original: 75, new:84
Answer:
The percentage of change is an increase of 12% from the original
Step-by-step explanation:
The percentage of change is a percentage of increase because the new value is greater than the original.
To find the percentage of change, we can divide the new value by the old which will give us the amount it increased by in decimal form, which we can simply multiply by 100 to find percentage:
84/75=1.12
1.12x100 = 112
The new value is 112% of the original, this means that the percentage of change is an increase of 12% from the original.
Hope this helped!
Answer:
increase and 12%
Step-by-step explanation:
84 -75 = 9
9 ÷ original # (75) = 0.12
0.12 x 100 = 12%
were asked whether they like cricket (C) and football (F). The number liking both cricket and football was three times the number liking only cricket. Adding 3 to the number liking only cricket and doubling the answer equals the number of people liking only football. Four said they did not like sport at all.
a Draw a Venn diagram to represent this information. b Calculate n(C ∩ F).
c Calculate n(C ∩ F').
d Calculate n(C ' ∩ F).
Plzzzz help me
Pls I need this ASAP! I’ll mark brainliest!
What is the sum of 4/10x + -1x + 1 7/10x?
Answer:
I think its 11x/10
Step-by-step explanation:
I have 2 questions
(1) What is the value of x?
30
60
90
(2) Classify the Triangle by its Angles. HINT: Use the Triangle Sum Theorem to find out the measure of the angles.
Scalene
Right
Obtuse
Acute
prove that theta=l/r radian
operaciones complejas raiz de -100
Answer:
Step-by-step explanation:
10 i
es esto
Select the smallest fraction from the following list of fractions.
2/3
1/4
1/10
5 1/12
3/8
2 1/2
Answer:
1/10
Step-by-step explanation:
4x - 3 = 6x + 9 looking for variable
Answer:
x=-6
Step-by-step explanation:
Add 3 on both sides and subtract 6 on both sides.
This gives you -2x=12
Divide -2 on both sides
this gives you -6.
x=-6
[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]
Step By Step Explanation:
Step 1:
→[tex]4x - 3 = 6x + 9[/tex]
Step 2:
→[tex]4x - 6x = 9 + 3[/tex]
Step 3:
→[tex] - 2x = 12[/tex]
Step 4:
→[tex]x = \frac{12}{ - 2} [/tex]
Step 5:
→[tex]\green{x = - 6}[/tex]
verification:
Step 1:
⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]
Step 2:
⇝[tex] - 24 - 3 = - 36 + 9[/tex]
Step 3:
⇝[tex] - 27 = −27[/tex]
[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]
MY 1st QUESTION, WILL GIVE BRAINILIST!
Scott's retirement party will cost $8 if he invites 4 guests. What is the maximum number of guests there can be if Scott can afford to spend a total of $14 on his retirement party? Solve using unit rates.
7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.
Answer:
7
Step-by-step explanation:
Well if it's $8 for 4 people then you have to divide to get the rate:
$8/4 = [tex]\frac{2}{person}[/tex]
now you can divide the disired amount to get the number of people:
$14/ [tex]\frac{2}{person}[/tex] = 7 people
Can someone help me with this please!!
Answer:
What are we meant to do its sideways
Step-by-step explanation:
I will give 30 points
Jane walks one mile from her house to her grandparents' house. Then she returns home, walking with her grandfather. Her return rate is 70% of her normal walking rate. Let r represent her normal walking rate. Write an expression of the amount of time Jane spends walking.
A. 1/r + 1/0.7r
B. 1/r + 1/70r
C. 1.7r
Answer:
1.7r
Step-by-step explanation:
which will not result in a value of zero?
Answer:
B
Step-by-step explanation:
because 10 and 11 are not equal, therefore, when you add 10 then subtract 11, you will not end up with your original number
Answer:
Deposit $10, then withdraw $11.
Step-by-step explanation:
If you have $10 and you take away $11. You balance a of -1. Which is not zero.
Evaluate
7/8
×
16/35
Give your answer in its simplest form.
Answer:
2/5 thats the answer i think
Answer:
2/5
Step-by-step explanation:
[tex]\frac{7}{8}[/tex]×[tex]\frac{16}{35}[/tex]
7×16=112
8×35=280
Simplify:
[tex]\frac{112}{280}[/tex] 112÷4=28 280÷4=70
[tex]\frac{28}{70}[/tex] Continue simplifying → 28÷2=14 70÷2=35 14/35 continue simplifying 14÷7=2 35÷7=5 2/5 You cannot continue simplifying.
So, [tex]\frac{2}{5}[/tex] is the answer.
During a special sale, all video games cost $26 and all movies cost $14. Derrick plans to spend some or all of his $220 in birthday money on these movies and video games. Let "x" represet the number of games Derrick can buy and "y" represent the number of movies he can buy. Write the inequality that describes this situation in standard form.
Answer:
[tex]13x+7y\leq 110[/tex]
Step-by-step explanation:
Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.
Cost of all video games = $26
Cost of all movies cost = $14
Total amount with Derrick = $220
So,
cost of [tex]x[/tex] video games + cost of [tex]y[/tex] movies [tex]\leq[/tex] 220
Therefore, the inequality is [tex]26x+14y\leq 220[/tex]
Divide this inequality by 2
[tex]13x+7y\leq 110[/tex]