A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin 180 degrees clockwise to form Square A'B'C'D', what would be the length of one of the sides? A. 0 units B. 5 units C. 10 units D. 20 units
Answer:
B. 5 units
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.
If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).
If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)
A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence:
[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]
Solve the following inequality: 2x^2 + x - 1/x^2-x<1
Answer:
−1<x<0 or 0<x<1
Step-by-step explanation:
Answer:
I believe it is : -1 < x < 0 OR 0 < x < 1
Or if you want it in interval notation form:
(-1, 0) ∪ (0, 1)
Step-by-step explanation:
hope this helps, lol! <3
2c - 12 = 9C + 2
How do i solve this
A sphere has a diameter of 24 units. What is its volume in cubic units?
A.576pi cubic units
B.1,728pi cubic units
C.2,304pi cubic units
D 6,912pi cubic units
Pls help!!
Answer:
C.2,304pi cubic unitsStep-by-step explanation:
Volume of the sphere:
V = 4/3πr³Since d = 24 units,
r = d/2 = 12 unitsThen
V = 4/3π(12³) = 2304πCorrect option is C
8x-13+4+1=90 helppppppp
Answer:
x = 49/4
Step-by-step explanation:
if y= 2x - 3, find the value of y when x=2
Answer:
y=1
Step-by-step explanation:
Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.
Last question!
Find the equation of the line
Y=__x +__
HI HELP ME PLEASEEE!’
We're given
(0, 144)
(1, 48)
(2, 16)
(3, 16/3)
[tex]f(x) = a*b^x\\144 = a*b^0\\144 = a\\[/tex]
now that we know a, we can find b
[tex]f(x) = 144*b^x\\48 = 144*b\\b = \frac{48}{144}\\b = \frac{1}{3}[/tex]
[tex]f(x) = 144*(\frac{1}{3})^x[/tex]
Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =
Answer:
25
Step-by-step explanation:
Answer:
it is 25 :)
Step-by-step explanation:
The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then o = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then o = pi. If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then o = pi/2. In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.
Answer
initially t=0 => c2sin(0)+c1cos(0) => y=0+c1 => y=0+5 => y=5
The weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching
Step-by-step explanation:
c1=5
If f(x)=3x+2 and g(x)=x^2-x, find the value.
g(-3)=
Answer:
hence the ans of g(-3)=12
15 points! :)
find the value of x for each figure. each figure is in the centimeters(cm). not to scale.
answer this, don't answer if you don't know
Answer:
10) 1/7
11) 3/4
12) 1/3
13) 1/2
14) 1/2
15) 7/9
Find the missing terms in the sequence:
18, -72, 288,
Answer:
-1,152Step-by-step explanation:
18 · (-4) = -72
-72 · (-4) = 288
288 · (-4) = -1,152
Plz help. And plz show work.
3/2 x -9 = 0 hiiiiiiiii please help :)
Answer:
x=6
Step-by-step explanation:
3/2x-9+9=0+9
3/2x=9
2. 3/2x=9. 2
3x=18
3x/3=18/3
x=6
Answer:
Hewo There!!
_______________________
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 6
______________________
“How wonderful it is that nobody need wait a single moment before starting to improve the world.” – Anne Frank
______________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
how to solve this it says solve 6!
Answer:
720
Step-by-step explanation:
6*5*4*3*2*1=720
Convert 400 U.S. dollars to pesos if 1 peso is 1.208 U.S, dollars
Answer:
483.24
Step-by-step explanation:
do u do all subjects
Answer:
most of them
Explanation:
0.72...0.702 put < or > between the numbers in each pair
Answer:
0.72>0.702
Step-by-step explanation:
How many gallons of water will be in the fish tank after 3 minutes? how can you explain your answer
The question is incomplete, the complete question is;
If in 0.5 min the tank gets 0.8 gallons of the water then
how many gallons will be in 1 min ?
how many gallons will be in 3 min?
and how long it takes for 40 gallons?
Answer:
1.6 gallons
4.8 gallons
25 mins
Step-by-step explanation:
This question has to do with proportion.
If it takes 0.5 mins for the tank to get 0.8 gallons
in 1 minute the tank will get 0.8 * 1/0.5 = 1.6 gallons
In 3 minutes the tank will get 3 * 1.6 gallons = 4.8 gallons
if it takes 1 min to get 1.6 gallons
it will take x mins to get 40 gallons
x = 1 * 40/1.6 = 25 mins
in a survey, 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer ice cream
Answer:
63 people
Step-by-step explanation:
Given parameters:
Number of students survey = 32
Number of those that liked ice-cream = 8
Total population size = 252
Unknown:
How many people in the population should prefer ice cream = ?
Solution:
From the survey;
8 out of 32 students prefer ice cream;
8 : 32
1: 4
This shows that 1 out of 4 students will prefer ice cream
NOw to the total population;
If out of 4 students, 1 prefers ice-cream;
Out of 252 students y will prefer ice-cream
Number of students that prefers ice-cream = [tex]\frac{252}{4}[/tex] = 63people
When a question asks you to "Explain", what are you expected to do
AND
Answer:
they want to tell you why the answer is what it is
Step-by-step explanation:
Answer:
They are asking you "how" you managed to get your answer
Step-by-step explanation:
say the question is 5×5=25 and the question say Explain;"well if you add 5+5+5+5+5 is equals 25"
Evaluate the expression.62−4÷2 62−4÷2
Answer: 8118/131 decimal form -65
Step-by-step explanation: this part right here 2 62= 0.032
so 62-4/0.032-4/2= -65
sorry it took so long my pc is very laggy btw i was letting the dogs out my apologies
Is 25 x 10 to the power of 0 in scientific notation? If not, explain. Use pencil and paper. Explain why 10 is used as the base in the second scientific notation factor.
Answer:
a) Scientific notation is written as a unit digit, that can have other digits after the decimal place, multiplied by 10 to the power of n, where n can be any integer number.
Then 25x10^0 is not scientific notation, because there are two digits at the left of the decimal point.
The scientific notation would be:
2.5x10^1
b) Why is this useful?
Because we divide all our measures in powers of 10.
For example, you know that 1 meter = 100c
But we can also write this as:
1m = 1.0*10^3 cm.
The use of scientific notation comes useful because we can have a fast read of the dimensions of our measure, and in another hand, is way easier work with the 10 as a base when we solve equations.
A dog kennel charges $20 per night to board your dog. You can also have a dog treat delivered to your dog for $5. The equation 20x+5y=100 models the situation of possible combinations of nights at the kennel (x) and dog treats (y) that you can buy for $100.
Describe what the intercepts mean in context of the story.
Answer:
wow they are so tricky about what the math means.. huh :D why ask abstract math questions when it's supposed to be real hmmmm welll anyway
Step-by-step explanation:
so the y intercept or 0=y means you get your dog no treats... maybe you hate your dog... or he was bad in some way... no treats for you dog !! >:/
The X=0 intercept mean you love your dog and don't take him to the dog kennel but keep him at home. And take care of him yourself.. but you could still get him treats :) Probably for less then 5 dollars too.. I saw some at Costco for a lot less.. :)
10y+15=7y+45
what does y equal
Answer:
10
Step-by-step explanation:
10y+15=7y+45
10y-7y=45-15
3y=30
y=10
hope it helps you!
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? On a coordinate plane, a cubic function crosses the x-axis at (negative 6, 0), (negative 3, 0), (0, 0). x – 6 x – 3 x + 1 x + 6
Answer:
D: x+6
Step-by-step explanation:
The factor of the polynomial function f(x) is x + 6
What are factors?The factors of a polynomial are the quotients and the zeros of the polynomial
The points on the polynomial curve are given as:
(-6,0), (-3,0) and (0,0)
So, we have:
x = -6
x = -3
x = 0
Equate the above equations to 0
x + 6 = 0
x + 3 = 0
x = 0
Hence, the factor of the polynomial is x + 6
Read more about polynomial factors at:
https://brainly.com/question/24380382
Yall pray for me I'm doing a huge math test
Answer:
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Step-by-step explanation:
plz answer
Answer:
OK
Step-by-step explanation:
What type of math geometry? Algebra?
Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is
2x – y = -8. Fully reduce your answer.
Answer:
-1/2
Step-by-step explanation:
2x-y=-8 --> y=2x+8 (slope: 2)
to be perpendicular, the product of two slopes should be -1
thus, the slope of a line perpendicular to this one is -1/2
even number less than 12
Answer:
2,4,6,8,10
Step-by-step explanation:
they are even numbers
Answer: 2, 4, 6, 8, 10
Step-by-step explanation:
any of those are even numbers that are less than 12