The triangle shown will be rotated 90° clockwise about the origin. What are the new coordinates of point B? A) (2, -4) B) (2, 4) C) (4, -2) D) (-4, -2)
Answers
Step-by-step explanation:
Hey there!
Your required answer is option B.
Reason: The coordinates of B is (2,4).
The formula for rotating the coordinates 90° clockwise is; (x,y)------(y,-x).
So, using this formula we get;
Answer; (4,-2).
Hope it helps...
The new coordinates of point B are (4,-2). So, option C is correct.
Important information:
The graph of the triangle ABC is given.The triangle will be rotated 90° clockwise about the origin.Rotation:From the given graph, it is clear that the coordinates of point B are (2,4).
If a figure is rotated 90° clockwise about the origin, then
[tex](x,y)\to (y,-x)[/tex]
Using the above rule, we get
[tex]B(2,4)\to B'(4,-2)[/tex]
Therefore, the option C is correct.
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Related Questions
For the word KANGAROOS, if a letter is selected at random, what is the probability
that it is a vowel?
Answers
Answer:
4/9 or 44.4%
Step-by-step explanation:
A circular lawn has an area of 1138 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle? Round your answer to one decimal place and use π = 3.14 π = 3.14
Answers
Answer:
[tex]r = 19.0\ ft[/tex]
Step-by-step explanation:
Given
[tex]Area = 1138ft^2[/tex]
[tex]\pi = 3.14[/tex]
Required
Determine the radius of the circle
The area is calculated using;
[tex]Area = \pi r^2[/tex]
Substitute for Area and π
[tex]1138 = 3.14 * r^2[/tex]
Make r the subject
[tex]r^2 = \frac{1138}{3.14}[/tex]
[tex]r^2 = 362.420382166[/tex]
[tex]r = \sqrt{362.420382166}[/tex]
[tex]r = 19.0373417831[/tex]
[tex]r = 19.0\ ft[/tex] --- Approximated
The absolute value of -6 is 6.
True False
Answers
Answer:
True
Step-by-step explanation:
Sometimes referred to as a numerical value, the absolute value is the non-negative value of a real number without regard for its sign. For example, the absolute value of both 12 and -12 is 12.
HOPE THIS HELPS!! (please give brainliest)
Answer:
true
Step-by-step explanation:
A triangle has side lengths of (7.4b + 6.3c) centimeters, (1.1b + 8.7d) centimeters, and (3.5d + 2.1c) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? 17.1cd + 12bd 5.6d + 150 + 8.5b Submit Answer 9.8bd + 13.7bc + 5.6cd 12.2d + 8.5b + 8.40
Answers
Answer:
This might help you.....
You can model 1/2÷1/6 on a number line. The red oval has a length of 1/6. How many ovals can you drag onto the number line from 0 to 1/2 without gaps or overlaps? What does this tell you?
Answers
Answer:
3the quotient is 3Step-by-step explanation:
You can fill in the space between 0 and 1/2 with 3 ovals that are of length 1/6.
This tells you that 1/2 ÷ 1/6 = 3.
The sum of two consecutive odd integers is 2488 what is the smallest of these integers
Answers
Given:
The sum of two consecutive odd integers is 2488.
To find:
The smallest of these integers
Solution:
Let the two consecutive odd integers are x and x+2.
Given that, sum of these two consecutive odd integers is 2488. So,
[tex]x+(x+2)=2488[/tex]
[tex]2x+2=2488[/tex]
Subtract 2 from both sides.
[tex]2x=2488-2[/tex]
[tex]2x=2486[/tex]
Divide both sides by 2.
[tex]x=\dfrac{2486}{2}[/tex]
[tex]x=1243[/tex]
So, the first odd integer is 1243 and second odd integer is 1243+2=1245.
Therefore, the smallest of these integers is 1243.
The midpoint of AB is (-2,0). If the coordinates of A are (-6,8), what are the
coordinates of B
Answers
Answer:
coordinate of B(2,-8)
Answer:
(4,-8)
Step-by-step explanation:
calculate the volume of a tetrahedron of side 9cm
Answers
Answer:
85.9 cm^3
Step-by-step explanation:
The formula for the volume of a regular tetrahedron is a^3 / (6 sqrt2)
If we plug in 9 for a, we have
9^3 / (6 sqrt2) = 85.9 cm^3
help me plz
you will be a life saver
Answers
Answer:
2/7 , 7/13 ,5/9,10/11
Step-by-step explanation:
5/9 , 7/13 , 2/7, and 10/11
5/9 = 0.555
7/13≅ 0.54
2/7 ≅0.29
10/11=0.90
ascending order means from least to greatest:
2/7 , 7/13 ,5/9,10/11
Above is the question
Answers
Answer:
297 & 369
Step-by-step explanation:
Answer:
297 and 323
Step-by-step explanation:
please mark as brainlist answer
Arlene writes this problem:
827 divided by 1120
Which expressions represent Arlene's problem?
Select each correct answer.
Answers
it looks like its answers two, four, and five.
tell me how you did !
The expressions that can represent 827 divided by 1120 are:
827 ÷ 1120
827 / 1120
1120 ) 827
Options C, D, and E is the correct answer.
Given,
827 divided by 1120.
We need to see which expressions represent this.
How can we write division?We can write it as:
If a ÷ b
- a / b
- b ) a
Find the expression for 827 divided by 1120.
We can write it as:
827 ÷ 1120
827 / 1120
1120 ) 827
Thus the expressions that can represent 827 divided by 1120 are:
827 ÷ 1120
827 / 1120
1120 ) 827
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Solve |x|= 10
please
Answers
Answer:
x=10, x= -10
Step-by-step explanation:
basically all absolute value does is make the end result of everything inside of it positive. So 10 and -10 both would be equal to 10 when you use absolute value on them
The solutions to the equation |x| = 10 are x = 10 and x = -10.
We have,
When x is positive:
If x is positive, the absolute value of x is equal to x itself.
x = 10.
When x is negative:
If x is negative, the absolute value of x is equal to the negation of x.
-x = 10.
To solve -x = 10, we multiply both sides by -1 to isolate x:
-x = 10
Multiply by -1:
x = -10
Therefore,
The solutions to the equation |x| = 10 are x = 10 and x = -10.
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What is the missing pattern ?
Answers
Answer:
15
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
243 /81 =3
Rule is times 3
3 *3=9
9*3=27
27*3=81
81*3=243
Jerry’s loan had a principal of $22,000. He made quarterly payments of $640 for nine years until the loan was paid in full. How much did Jerry pay in interest?
Answers
Answer: $1040
A = P + I
A = Total
P = Principal
I = Interest
First find the total amount
A = 640(4)(9)
A = 23040
Plug In the Numbers
23040 = 22000 + I
Substract 22000 on both sides
I = $1040
Jerry paid the total interest of $1,040.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, Jerry’s loan had a principal of $22,000. He made quarterly payments of $640 for nine years until the loan was paid in full.
Since, he paid in every 3 months for 9 years = 640
and since there are total quarter in 9 years = 9 * 4
there are total quarter in 9 years = 36
Thus, Total money jerry's paid = 640 * 36
Total money jerry's paid = 23040$
Since, Jerry’s loan had a principal of $22,000.
Thus, interest = Paid amount - principal amount
In our case,
Interest = 23040 - 22000
Interest = 1,040$
therefore, Jerry paid the total interest of $1,040.
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if f(x)=x^2-5x and f(n)=-4 , then which of the following could be a value for n?
a. -5
b. -4
c. -1
d. 1
Answers
Plz help 1-4 r true and false questions
Answers
2. True
3. False
4. False??
Rectangle ABCD has vertices A(–6, –2), B(–3, –2),
C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1),
C’(–7, –3), and D’(–10, –3).
Which rule was used to translate the image?
T–4, 3(x, y)
T–4, 1(x, y)
T4, –1(x, y)
T4, –3(x, y)
Answers
Answer:
A. T–4, 3(x, y)
Step-by-step explanation:
We are given that the transformation changes the rectangle ABCD to the rectangle A'B'C'D'.
The changes in the co-ordinates are given by,
A = (-6,-2) = (-6,-2) + (-4,3) = (-10,1)
B = (-3,-2) = (-3,-2) + (-4,3) = (-7,-1)
C = (-3,-6) = (-3,-6) + (-4,3) = (-7,-3)
D = (-6,-6) = (-6,-6) + (-4,3) = (-10,-3)
So, we see that the rectangle ABCD is transformed by the co-ordinates (-4,3).
That is, it is translated 4 units to the left and 3 units upwards.
Thus, option A is correct.
The translation of the rectangle is 4 units to the left and 3 units up
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Given data ,
Let the rectangle be represented as ABCD
Now , the coordinates of the rectangle is
A ( -6 , -2 ) , B ( -3 , -2 ) , C (-3 , -6 ) and D ( -6 , -6 )
And , on translating the rectangle by 4 units to the left , we get
A ( -6 - 4 , -2 ) , B ( -3 - 4 , -2 ) , C (-3 - 4 , -6 ) and D ( -6 - 4 , -6 )
Now , translating the rectangle by 3 units up , we get
A' ( -10 , -2 + 3 ) , B' ( -7 , -2 + 3 ) , C' ( -7 , -6 + 3 ) and D' ( -10 , -6 + 3 )
On simplifying , we get
A' ( -10 , -1 ) , B' ( -7 , -1 ) , C' ( -7 , -3 ) and D' ( -10 , -3 )
Therefore , the translation is 4 units left and 3 units up
Hence , the translation of rectangle is solved
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Will ran the diagonal distance across a square field measuring 40 yards on beachside . James ran the diagonal distance across a rectangular field with a length of 25 yards and a width of 35 yards. Who ran a longer distance, and how much longer did he run?
Answers
Diagonal of will's square field is [tex]D_1=40 \ yards[/tex].
Diagonal of James's rectangular field :
[tex]D_2=\sqrt{35^2+25^2}\\\\D_2=\sqrt{1850}\ yards\\\\D_2=43.01\ yards[/tex]
James runs 3.01 yards more distance than will.
Therefore, James run a longer distance.
Hence, this is the required solution.
the density of a certain material is such that it weighs 2 ounces per 6.5 millimeters of volume. Express the density in grams per fluid ounce
Answers
Answer: 258 grams per fluid ounces
Step-by-step explanation:
The density in grams per fluid ounce of the given material is 258.20 grams / fluid ounce.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Density is the ratio of mass and volume.
Density = 2 ounce ÷ 6.5 cubic milimeter
Since,
1 fluid ounce = 29.6 millimeter
1 ounce = 28.35 grams
So,
Density = (2×28.35)/(6.5×1/29.6)
Density = (2×28.35×29.6)/(6.5×1)
Density = 258.20 grams / fluid ounce
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The total cost after tax to repair Deborah’s computer is represented by 0.09(60h)+60h, where h represents the number of hours it takes to repair Deborah’s computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.
If and only if all work is shown and understandable then you will be marked brainliest. DO NOT answer if you don't know the answer that is stealing points and it will be reported, if you have a guess use the comment section.
Answers
Answer:
0.09 OR 9% is her tax
Step-by-step explanation:
Deborah has to pay 9% for tax. So is someone worked on her computer for two hours then she pays 9% on $120 worth of work. So her tax amount would be $10.800 and her total amount would be 10.8 +120 = $130.80.
Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs does the situation represents additive inverse?
Answers
Answer:
answer
Step-by-step explanation:
Answer:
Yes, she runs 8 flights of stairs
What is the solution to this epuation x+6=24
Answers
Answer: i think the answer is 18 ( please let me know if this answer is wrong ) !
Explanation
X+6=24
-6 -6
X=18
What 5 7/10 times -5/9
Answers
The amount of money Sarah earns per week is modeled by the function W below where h
represents the number of hours Sarah works in a week.
8h,
0
120h – 40) + 320, h> 40
If Sarah worked a total of 48 hours last week, how much money did she earn?
$384
$416
$576
$896
Answers
Answer:
416
Step-by-step explanation:
A currency exchange will convert 1
United States dollar (USD) into 105.19
Japanese Yen (JPY).
a) Convert 250 USD into JPY
b) Convert 13148 JPY into USD
Answers
Answer: a) 26297.50 b) 124.992870045
Step-by-step explanation:
a) 105.19*250=26297.50
b) 13148/105.19= 124.992870045
Aman is adding -17 + 9. He wants to write - 17 as the sum of two numbers
so that one of the numbers, when added to 9, will equal O. How should he
write -17 to complete this problem? -17 + 9 =
+ 9 What are
the two missing integers? *
Answers
Answer:
-9 and -8
Step-by-step explanation:
Adding -9 to 9 would equal 0, and -9 + -8 is -17. Also if you want to check, just complete the equation just plug in those two integers :)
The equation can be written according to the problem will be –17 + 9 = –8. And the two missing integers are -8 and -9.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Aman is adding -17 + 9.
He wants to write –17 as the sum of two numbers.
So that one of the numbers, when added to 9, will equal 0.
Let the other number be x. Then
-17 + 9 + x = 0
-8 + x = 0
x = 8
Then the equation can be written according to the problem will be
–17 + 9 + 8 = 0
–17 + 9 = –8
Or –17 + 8 = –9
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6.) How many packs of DVD's can you buy with one hundred eighty dollars if one pack costs
fifteen dollars?
Answers
Answer:
12 DVDs
Step-by-step explanation:
180 divided by 15
Answer:
The answer is 12 packs of DVD's
Step-by-step explanation:
When you divide 180 by 15 you get 12
Hope this helps
State The Absolute value and the opposite of the number. -24, 8, 31, -17
Answers
24
8
31
17
absolute value with positive numbers are always positive if I remember correctly.
oooo and the opposite
24
-8
-31
and 17
3y/5 = 15 the value of y is
Answers
Step-by-step explanation:
[tex] \frac{3y}{5} = 15[/tex]
[tex]3y = 15 \times 5[/tex]
[tex]3y = 75[/tex]
[tex]y = \frac{75}{3} [/tex]
[tex] \sf{y = 25}[/tex]
Hope it helps.. :)
2. divide by 3 on both sides
3. you get your answer
1. 3y/5 = 15
2. 3y = 3
3. y = 1
The product of negative 4 and y increased by 11 is equivalent to -5
Answers
Answer:
Step-by-step explanation:
-4y+11=5
-4y = -6
y = 3/2
Answer:
Y=4
Step-by-step explanation:
-4y+11=-5
-4y= - 11-5
-4y= - 16
Divide by - 4
Y =4
