Answer:
If they are each rotated 180° about the origin, they will not remain parallel.
If they are each translated 7 units to the left, they will remain parallel.
If they are each rotated 270° about the origin, they will remain parallel.
Step-by-step explanation:
I got them!!!!!!!!!!!!!!!!
If they are each rotated 180° about the origin, they will not remain parallel, If they are each translated 7 units to the left, they will remain parallel and If they are each rotated 270° about the origin, they will remain parallel are true statements.
What is Coordinate Geometry?Coordinate geometry (or analytic geometry) is defined as the study of geometry using the coordinate points.
Parallel lines are coplanar infinite straight lines that do not intersect at any point.
Among the given statements the following are true.
If they are each rotated 180° about the origin, they will not remain parallel.
If they are each translated 7 units to the left, they will remain parallel.
If they are each rotated 270° about the origin, they will remain parallel.
Hence, If they are each rotated 180° about the origin, they will not remain parallel, If they are each translated 7 units to the left, they will remain parallel and If they are each rotated 270° about the origin, they will remain parallel are true statements.
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what's x + y
[tex] {x}^{2} + {y}^{2} + 2xy = 9[/tex]
Answer:
the awnser is 10 and 1/x+ 1/y is = 5/12
Vertical, Complementary and Linear Pair Angles Last one maybe?!
CAN SOMEONE PLEASE GELP ME?
Answer:
1 ) 140
2) 60
Step-by-step explanation:
1. It touches the y intercept at 140 and 0 in the x axis so 140
NOTE : THE NUMBER THE TOUCHES THE Y INTERCCEPT IS ALWAYS THE ANSWER/ IT GOES DOWN 3 ACROSS 3 SO IT AND U WILL SEE IF IT TOUCHES THE Y INTERCEPT IT WILL BE 140
2. it goes from 140 to 200 just subtract them to get how much she gets
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Thank u
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PLS. HELPPPP I WILL GIVE BRAINLITES
12 What is the slope of this line?
Answer:
positive slope
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
A rectangle has a length of √7 and a width of 3√8. Find the area of the rectangle.
The area of the rectangle is 3[tex]\sqrt{56}[/tex]
Given,
A rectangle has a length of √7 and a width of 3√8.
We need to find the area of the rectangle.
What is the area of a rectangle?The area is given by:
Area = Length x width
Find the length and width of a rectangle.
Length = [tex]\sqrt{7}[/tex]
Width = 3[tex]\sqrt{8}[/tex]
Find the area of the rectangle.
Area = Length x width
= [tex]\sqrt{7}[/tex] x 3[tex]\sqrt{8}[/tex]
When there are two different square roots we multiply them together under one root.
[tex]\sqrt{a\times b} ~~=~~\sqrt{a}\times\sqrt{b}[/tex]
Now,
= 3[tex]\sqrt{7\times8}[/tex]
= 3[tex]\sqrt{56}[/tex]
Thus the area of the rectangle is 3[tex]\sqrt{56}[/tex]
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The population of cats in a town increased by 25% from Year 1 to Year 2. The population of cats in Year 2 is 60.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I guess that you want to find the population of the cats in Year 1. This will be represented by x. Therefore,
x + (25% × x) = 60
x + (0.25 × x) = 60
x + 0.25x = 60
1.25x = 60
x = 60/1.25
x = 48
The population of cats in year 1 is 48
Find the slope and the y-intercept of the line.
5x-4y=-8
Write your answers in simplest form.
Answer:
The slope is 5/4 and the y-intercept is 2.
Step-by-step explanation:
5x-4y=-8
4y=5x-(-8)
4y=5x+8
y=5/4x+8/4
y=5/4x+2
y=mx+b where m=slope and b=y-intercept.
Helpp plz I will mark brainliestttt
Answer:
The answer is b
Step-by-step explanation:
The formula for the surface area of rectangular prisms is
A=2(wl+hl+hw)
Now input the length width and hight into the right spots
=2*(2*6.6+3.3*6.6+3.3*2)
And you will end up with the answer
=83.16
Please when answering show your full work. Step-by-step process.
I need help with this math.....
a car crosses a bridge 400 m long at 80km/h. how long does it take to cross the bridge
Answer:
18 seconds
Step-by-step explanation:
convert km/h to m/s and you get 22.22m/s. Then divide 400 by 22.22 and the answer is 18 seconds.
Hopefully this helps! Let me know if you have any questions!
Brookwood High School is considering adding co-ed soccer to the sports program for the fall season. In order to get an unbiased sample of interest in soccer, who should the school survey?
A.
members of the soccer team
B.
students in freshman homerooms
C.
girls in PE class
D.
every fifth student entering the cafeteria
In order to get an unbiased sample of interest in soccer, the school survey should be conducted D. every fifth student entering the cafeteria.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
Given that,
Brookwood High School is considering adding co-ed soccer to the sports program for the fall season.
We need to get an unbiased sample of interest.
If the survey is conducted only among the members of the soccer team, the result will be biases because only the interest of someone in the team is known.
Similarly, in the case of students in freshman homerooms and girls in PE class.
If we select every fifth student entering the cafeteria, there is a chance for all the levels of students to be included which eliminates the possible bias.
Hence the option is D.
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An aquarium has 14 angel fish, 12
clownfish and 18 seahorses. What is the
ratio of seahorses to total number of fish?
Answer:
18 : 26
Step-by-step explanation:
It is very easy, angel fish and clown fish are fish, so once you add them up you get 26. The seahorses are 18 and we are supposed to make them S:F. Therefore you put the seahorses first and the fish second, so you get the answer 18:26
y =square root 1-x/1+x find it's derivative
Answer:
The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].
Step-by-step explanation:
Let [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex]. we can determine its first derivative by Rule for the Square Root Function, Rule for Power Function, Rule of Chain and Rule for the Addition of Functions, Rule for the Subtraction of Functions, Rule for the Division of Functions:
[tex]y' = \frac{1}{2\cdot \sqrt{\frac{1-x}{1+x} }}\cdot \frac{(-1)\cdot (1+x)-(1)\cdot (1-x)}{(1+x)^{2}}[/tex]
[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} }\cdot \left[\frac{-1-x-1+x}{(1+x)^{2}} \right][/tex]
[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} } \cdot \left[-\frac{2}{(1+x)^{2}} \right][/tex]
[tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex]
The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].
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A juggler throws a ball from an initial height of 4 feet with an initial velocity of 30 feet per second. The height h (in feet) of the ball can be modeled by h=−16t2+vt+s where t is the time (in seconds) the ball has been in the air. v is the initial velocity and s is the initial height.
Write an equation that gives the height (in feet of the ball since it left the juggler's hand. )
Answer:h=16+2+vt +s
Step-by-step explanation:
6
5
21
-2
2
3
Equation:
Answer:
y = 1/2x + 3
Step-by-step explanation:
Rise/Run and since y = 3 when x = 0, then the b part in y = mx + b is 3.
Ron made 3 pitchers of lemonade sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
Answer:
Step-by-step explanation:
cost = 3 pitchers × $0.50/pitcher = $1.50
revenue = 36 cups × $0.15/cup = $5.40
profit = $5.40 - $1.50 = $3.90
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.
Answer:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
Step-by-step explanation:
Given
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex] -- Missing from the question
Required
The behavior of the function around its vertical asymptote at [tex]x = -2[/tex]
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex]
Expand the numerator
[tex]p(x) = \frac{x^2 + x -3x - 3}{x+2}[/tex]
Factorize
[tex]p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}[/tex]
Factor out x + 1
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)
We are only interested in the sign of the result
----------------------------------------------------------------------------------------------------------
As x approaches -2 implies that:
[tex]x -> -2^{-}[/tex] Say x = -3
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
[tex]p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12[/tex]
We have a negative value (-12); This will be called negative infinity
This implies that as x approaches -2, p(x) approaches negative infinity
[tex]x->-2^{-}, p(x)->-\infty[/tex]
Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)
As x leaves -2 implies that: [tex]x>-2[/tex]
Say x = -2.1
[tex]p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1[/tex]
We have a negative value (-56.1); This will be called negative infinity
This implies that as x leaves -2, p(x) approaches negative infinity
[tex]x->-2^{+}, p(x)->-\infty[/tex]
So, the behavior is:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
The nth term of a sequence is 1 - 5n
Work out the 6th term of the sequence.
6th term =
Step-by-step explanation:
nth term = 1 - 5n
6th term = 1 - 5(6)
= 1 - 30
= - 29
someone plssss helpppp
If the image of point J under a 180° rotation about the origin is (-8, 4), what are the coordinates of point J' ?
Prove \triangle ABE\cong\triangle ACE△ABE≅△ACE. Be sure to state any congruencies and the criteria used to determine them.
Answer:
The answer is below
Step-by-step explanation:
Two triangles are congruent if they have the same shape and their corresponding sides are equal to each other.
1) AB = DC, BE = CE (given)
2) ∠AEB≅∠DEC (vertical angles are congruent)
3) ΔABE ≅ ΔACE (side angle side congruence theorem)
If the two sides and an included angle of one triangle is equal to two sides and one included angle of another triangle, then the two triangles are congruent by SAS congruence theorem.
What is the length of the line?
Answer:
[tex]\sqrt{61}[/tex]
Step-by-step explanation:
x = 6 units horizontally
y = 5 units vertically
Use the pythagorean theorem[tex]\sqrt{x^{2} + y^{2} } = L[/tex]
Plug x and y into the equation, and you will get [tex]\sqrt{61}[/tex] as the length.
Answer:
7.8 units (which is to the nearest tenth)
Step-by-step explanation:
We apply the Pythagorean Theorem here; the length of the line is the length of the hypotenuse of a triangle whose horizontal leg length is 6 and whose vertical leg length is 5 units. This Theorem is expressed symbolically as
a^2 + b^2 = c^2. In this particular case, a = 6, b = 5 and c is to be determined. Performing the calculations, we get
6^2 + 5^2 = c^2, or:
36 + 25 = 61 = c^2
Taking the positive square root of both sides, we get c = √61 ) exactly,
which rounds off to 7.8 units (to the nearest tenth).
The length of the line is 7.8 units.
PLEASE HELP ASAP PLS AND TY
Samantha threw an apple out of a window from the tenth floor of her apartment building. The equation y=-16t^2+120y = − 16 t 2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round our answer to the nearest hundredth.
Only type in the numerical answer.
Answer:
2.74 Seconds
Step-by-step explanation:
-16t²+120=0
-16t²=-120
t²=7.5
t=2.74
The length of the base of an isosceles triangle is x. The length of a leg is 3x + 2. The perimeter of the triangle is 39. Is there enough information to solve for x? If so, find x. A. Not enough information B. 9 о с. 5 D. 12.5
Answer:
Step-by-step explanation:
2(3x+2) + x = 39
6x+4+x = 39
7x = 35
x = 5
Type your answer in the box provided. Make sure to use complete sentences.
Real World: Choose ONE of the following quadratic equations to solve. State your method of solving, giving your reasoning for why you chose that method. Show all work, and put your final answers in context.
A person walking across a bridge accidentally drops an orange into the river below from a height of 140 ft. The equation 0=−x2+7x+18 gives the relationship between how many seconds, x, have passed when the orange hits the water. In how many seconds will the orange hit the water?
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Things you MUST include: (1 point each for a total of 5 points)
Method of solving the quadratic.
Reasoning for choosing this method.
All work to solve the quadratic equation.
The two mathematical answers to the equation.
The answer to the question asked, based on which answer is reasonable.
You may either type your answer in the text box below OR upload a file, picture, or scan of handwritten answers. All files should be saved using the following template: "Last Name_First Name_Assignment Name_Question Number." Refer to Orientation for help with file uploads.
Answer:
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Step-by-step explanation:
h = -16t^2 + 80 Stick hits the ground when h = 0:
0 = -16t^2 + 80
16t^2 = 80
t^2 = 80/16 = 5
t = POSITIVE root 5 (due to the real world nature of the problem)
t approximately 2.236 seconds.
========================================
Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)
Symmetric about h-axis, though I would only graph on the right side of the h-axis since
that is where t >= 0.
True or False: Mutual funds can include a wide variety of industries and sectors of the economy.
Answer:
that's The truth
Step-by-step explanation:
that's more like a trade
After a bicycle tire has done 10 rotations, it has traveled 879.2 inches. Write and solve an equation to find the radius of the tire.
Answer:
14in approx
Step-by-step explanation:
Given data
number of rotations= 10
Distance travelled= 879.2 inches
Hence if in 10 rotations the distance covered is 879.2 inches
in 1 rotation the distance covered will be x inches
cross multiply
10x= 879.2
x= 879.2/10
x= 87.92 inches
This means that the circumference of the tire is 87.92 in
From
C= 2πr
Let us solve for r
87.92=2*3.142*r
87.92=6.284r
r= 87.92/6.284
r= 13.9
Hence the radius is 14in approx
Write 200 as a product of primes.
Use index notation when giving your answer.
Answer:
Step-by-step explanation:
The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.
The prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
It is given that a number is 200.
We have to find out the prime factorization of 200.
What do you mean by prime factorization ?
Prime factorization is a way to find the prime factors of a number, such that the original number is evenly divisible by the prime numbers.
As per the question ;
The given number is 200.
We have to find the prime factors of 200.
This meant to find out the prime numbers we should multiply together to make the original number which is 200.
So ;
200
= 2 × 100
= 2 × 2 × 50
= 2 × 2 × 5 × 10
= 2 × 2 × 2 × 5 × 5
or
= 2³ × 5²
Thus , the prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
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