Answer:
[tex]L" = (-6,0)[/tex] [tex]M" = (-8,-6)[/tex] [tex]N" = (-4,-2)[/tex]
Step-by-step explanation:
Given
[tex]L = (0,3)[/tex]
[tex]M = (3,4)[/tex]
[tex]N = (1,2)[/tex]
Required
Determine the new coordinates of L, M and N
Applying (a): 180 degrees rotation about the origin
When [tex](x,y)[/tex] is rotated about 180 degrees, the new point becomes [tex](-y,-x)[/tex]
So:
[tex]L = (0,3)[/tex] ==> [tex]L' = (-3,0)[/tex]
[tex]M = (3,4)[/tex] ==> [tex]M' = (-4,-3)[/tex]
[tex]N = (1,2)[/tex] ==> [tex]N' = (-2,-1)[/tex]
Applying (b): Dilation of scale factor, 2
The formula to apply here is;
[tex]New = Old * Scale\ Factor[/tex]
So:
[tex]L' = (-3,0)[/tex] becomes:
[tex]L" = L' * 2[/tex]
[tex]L" = (-3,0) * 2[/tex]
[tex]L" = (-6,0)[/tex]
[tex]M' = (-4,-3)[/tex] becomes:
[tex]M" = M' * 2[/tex]
[tex]M" = (-4,-3) * 2[/tex]
[tex]M" = (-8,-6)[/tex]
[tex]N' = (-2,-1)[/tex]
[tex]N" = N' * 2[/tex]
[tex]N" = (-2,-1) * 2[/tex]
[tex]N" = (-4,-2)[/tex]
Hence;
The new coordinates are:
[tex]L" = (-6,0)[/tex]
[tex]M" = (-8,-6)[/tex]
[tex]N" = (-4,-2)[/tex]
HELPPP :(
Max is mountain hiking at a constant rate.
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.
Which statement best describes Max's elevation, given this equation?
Max started at a height of 10 meters and is ascending at 30 meters per hour.
Max started at a height of 10 meters and is descending at 30 meters per hour.
Max started at a height of 30 meters and is ascending at 10 meters per hour.
Max started at a height of 30 meters and is descending at 10 meters per hour.
(If you don’t know the answer, please don’t spam :<)
Answer:
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
The statement that best describes Max's elevation, given this equation is
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
Given that,
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.Explanation regarding the statement:The max should begins at the height of 30 meters. And, the ascending at 10 meters per hour.Learn more about the height here: https://brainly.com/question/5281804
can someone help me with this asap.
Answer:
fourth option
Step-by-step explanation:
Given
3x < - 9 ( divide both sides by 3 )
x < - 3
solution set is { x | x < - 3 }
5 AB is the diameter of a circle whose center is the point (4,-3). If the coordinates of A are (-1,5), Find AB>
Given:
AB is the diameter of a circle whose center is the point (4,-3).
Coordinates of A are (-1,5).
To find:
The measure of AB.
Solution:
Let point O(4,-3) be the center of the circle.
Then, OA is the radius of the circle.
We know that, diameter of a circle is twice of its radius.
So, [tex]AB=2(OA)[/tex] ...(i)
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between O and A is
[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]
[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]
[tex]OA=\sqrt{25+(8)^2}[/tex]
[tex]OA=\sqrt{25+64}[/tex]
[tex]OA=\sqrt{89}[/tex]
Now, using (i), we get
[tex]AB=2(OA)[/tex]
[tex]AB=2(\sqrt{89})[/tex]
[tex]AB=2\sqrt{89}[/tex]
Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.
20 POINTS!!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
Answer: your answer is 400 yd's and please pick me for brainliest
Step-by-step explanation:
40 × 10 = 400
9514 1404 393
Answer:
6x^2 +64x yd²
Step-by-step explanation:
The total horizontal width is ...
w = (x -2) +(3x) = 4x -2 . . . yards
So, the width of the downward-extending leg at right is ...
(4x -2) -(2x -2) = 2x
The total vertical height is ...
10 yds + 40 yds = 50 yds
So, the height of the downward-extending leg at right is ...
50 -3x . . . yards
__
Then the empty rectangle at upper right has an area of ...
A = LW = (3x yds)(10 yds) = 30x yd²
and the empty rectangle at lower left has an area of ...
A = LW = (2x -2 yds)(50 -3x yds) = -6x^2 +106x -100 yd²
__
The total area is the product of overall width and overall height, less the areas of the two empty rectangles:
A = (4x -2 yds)(50 yds) -30x yd² -(-6x^2 +106x -100) yd²
A = 6x^2 +64x yd² . . . . . area of the proposed parking lot
A crew of highway workers paved 1/3 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
1 and 1/3 of a mile
Step-by-step explanation:
PLEASE MARK BRAINLIEST
uhh yeahh don't know lol ...
Answer:
for first blank its 1/3 and second blank is 5
Step-by-step explanation:
Answer:
y=-1/3x+5
Step-by-step explanation:
BRAINLIEST PLS
2/3 / (-9/4)
2/3 divided by (-9/4)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{2}{3} \div ( - \frac{9}{4} ) = \\ [/tex]
[tex] \frac{2}{3} \times( - \frac{4}{9}) = \\ [/tex]
[tex] - \frac{2 \times 4}{3 \times 9} = - \frac{8}{27} = - ({ \frac{2}{3} })^{3} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
hurry plz yeyeyeyeyeyye
Answer:
$250
Step-by-step explanation:
Using rational coefficients, find the factors of a polynomial function that has the following roots. ****Select all that apply**** 3 8i and 7 - square root of 5
the choices are
(x+3)
(x-3)
(x^2-9)
(x-8i)
(x^2+64)
(x-7-square root of 5)
(x^2-14x+44)
and (x^2-14x+54
Answer:
Options 2, 3, 4, 5, 7Step-by-step explanation:
Given roots:
3, 8i and 7 - √5Polynomial with same roots will have factors of:
(x - 3), (x - 8i) and (x - (7-√5))So correct choices are:
(x - 3)(x^2-9), has a factor of (x - 3)(x - 8i)(x^2+64), has a factor of (x - 8i)(x^2-14x+44), has a factor of (x - 7 + √5)What is the ratio of 120%
Answer:
5: 6
Step-by-step explanation:
becuase it was basically 100:120 but divide it by 20 and thats how you get 5;6
Robert says he needs 250 plastic sleevs for his basball card collection.He has 3084 baseball cards.Each sleev holds 12 cards do you agree whith robert
Answer:
No
Step-by-step explanation:
Given that:
Plastic sleeves needed = 250
Number of baseball cards = 3084
Sleeves held per card = 12
To determine the number of sleeves needed ;
Number of baseball cards / number of sleeves per card
= 3084 / 12
= 257
No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257
What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)
Answer:
17
Step-by-step explanation:
24x+24=27x-27
51=3x
x=17
The mid segment of the triangle is 5x-1. Find the value of x.
Answer:
The value of x = 6
Step-by-step explanation:
The Midsegment of a triangle theorem states that the midsegment of a triangle is parallel to the third side of the triangle and it’s always equal to the one half or 1/2 of the length of the third side.
Now we can conclude that from the given triangle, the length of midsegment is 5x-1 which is parallel to the side of length 58, and will always equal to 1/2 of the length of the side of length 58.
Mathematically it means:
[tex]5x-1\:=\:\frac{58}{2}[/tex]
solving to find the length of x
[tex]5x-1=29[/tex]
Add 1 to both sides
[tex]5x-1+1=29+1[/tex]
[tex]5x=30[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{30}{5}[/tex]
[tex]x=6[/tex]
Therefore, the value of x = 6
What is the answer to this fast smart people
Answer:
m<R = 106°
Step-by-step explanation:
Given,
m<R = (6x+10)°
m<S = (2x+5)°
m<T = (3x-11)°
Now,
6x+10°+2x+5°+3x-11° = 180°{the sum of angles of triangle is 180°}
or, 11x+4° = 180°
or, 11x = 180°-4
or, x = 176°/11
or, x = 16°
therefore, x = 16°
m<R = (6x+10)°
= 6×16°+10°
= 96°+10°
= 106°
If you can, answer this please! Thank u!!!
Answer:
G
Step-by-step explanation:
LS and TD are in the same positions in the equation. S is the first letter and D is so they are equal to each other and the same for L and T
Joseph has 1/2 of a sub left after lunch. He eats 1/4 of this amount for snack. what fraction of a whole sub did Joseph eat for snack
Answer:
Step-by-step explanation:
I believe the answer would be 1/4 of the sub. Because they asked about the whole sub. And it says he ate 1/4 of the amount of that half of the sub for snack. So out of the whole sandwich it would be 1/4!
If it’s not the answer your looking for you can take it off...
But...
Hope it helps
A survey of Mr. Thorne’s class shows that 5 out of 8 students will buy lunch today. Based on this result, how many of the 720 students in the school will buy today?
Number of student lunch today is 450 students
Given:
Fraction of student lunch today = 5/8
Total number student = 720 students
Find:
Number of student lunch today
Computation:
Number of student lunch today = Fraction of student lunch today × Total number student
Number of student lunch today = (5/8) × (720)
Number of student lunch today = (5) × (90)
Number of student lunch today = 450 students
Learn more:
https://brainly.com/question/12816397?referrer=searchResults
write in the simplest form 5.73 - ( -3.56)
Answer:
9.28
Step-by-step explanation:
which value is equivalent to 3^2+5x2-8
Bdbdjekdmfmfmfkfmf help
Answer:
Green box: 9
Step-by-step explanation:
7/7 x 9/10
1 x 9/10 = 9/10
Noah bought x apples, and Elena bought 1/4 more
apples. Write an expression for the number of apples
Elena bought.
Answer:
y = 0.75x
Step-by-step explanation:
Im not sure lmk
Please help!!!!!! ASAP!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
2. m∠4 + m∠5 = 210°
3. Alternate interior angles theorem.
4. 2 × m∠4 = 210°
5. 105°
Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!
ana buys a sweater for $25.60, and it is on sale for 35% off. what is the amount of the discount?
Answer:
16.64
Step-by-step explanation:
First times 25.60 by 35
Which is 896 then divide by 100
You should get 8.96
And then subtract it from 25.60
You get 16.64
therefore 25.60, 35% off is 16.64
The 7th grade students at Palm Coast Middle School made some apple pies for a bake sale. The school cafeteria also donated 9 pies toward the effort. All the pies at the sale were cut into 8 pieces. If at least 224 pieces of pie were sold in all, how many pies did the students bake? (shown on number lines)
Answer: at least 19
Step-by-step explanation:
Since there were at least 224 pieces of pie sold. We would divide the amount of slices of pie sold (224) by the amount of slices in each pie (8). Which would be (28) pies sold and then we would subtract the (9) pies that the school gave us, and we would end up with (19) pies.
I hope that can help you
What is the simplified form of the expression V-64?
Answer:
v32
Step-by-step explanation:
i think not sure tho
help help help help
Answer:
Option 1
Step-by-step explanation:
-4x+6y-5z=60
for x-int, solve for x when y=0, z=0
-4x+6(0)-5(0)=60
x=-15 (-15, 0,0)
for y-int, solve for y when x=0, z=0
y=10 (0, 10,0)
for z-int, solve for z when x=0, y=0
z=-12 (0, 0,-12)
All 40 turkeys are in a pen. 1/4 are sleeping. 1/8 are eating, and 5/8 of them are hiding from the butcher. How many are sleeping How many are eating How many are hiding
Answer:
[tex]Sleeping = 10[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding =25[/tex]
Step-by-step explanation:
Given
[tex]Turkey = 40[/tex]
[tex]Sleeping = \frac{1}{4}[/tex]
[tex]Eating = \frac{1}{8}[/tex]
[tex]Hiding = \frac{5}{8}[/tex]
Required
Determine the number in each category
To solve this, we simply multiply each fraction by the total number of turkey:
[tex]Sleeping = \frac{1}{4} * 40[/tex]
[tex]Sleeping = \frac{40}{4}[/tex]
[tex]Sleeping = 10[/tex]
[tex]Eating = \frac{1}{8} * 40[/tex]
[tex]Eating = \frac{40}{8}[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding = \frac{5}{8} * 40[/tex]
[tex]Hiding = \frac{200}{8}[/tex]
[tex]Hiding =25[/tex]
how do I find the factor of the trinomial
x²+x-20
Answer:
(x+5)(x-4)
Step-by-step explanation:
Answer:
(X-4) (X+5)
Step-by-step explanation:
look for 2 numbers that multiply to be -20 and adds up to be 1 which ould be -4 and 5
A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total marbles?
Answer: 3:20
Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.
How do you make a word problem out of an equation? (ex:Create a word problem that defines the following equation: 129+3x=1,000)
Answer:
I think of a number and multiply it by three, when I add it with 129 my answer will be equal to 1000. what is the number