Why are 3 4 5 and 5 12 13 Pythagorean triples?
A Pythagorean triple is a set of three positive integers a, b, and c that satisfies the equation a2 + b2 = c2.
In this case, the triple is (3, 4, 5) and (5, 12, 13).
The equation for the first triple is 32 + 42 = 52.
3² = 9
4² = 16
9 + 16 = 25
25 = 25
The equation for the second triple is 52 + 122 = 132.
5² = 25
12² = 144
25 + 144 = 169
169 = 169
Therefore, both sets of numbers are Pythagorean triples because they both satisfy the equation a2 + b2 = c2.
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A et of 3 card, pelling the word ADD, are placed face down on the table. Determine P(D, D) if two card are randomly elected with replacement. One third
two third
two ixth
four ninth
The probability of the two cards being D and D, P(D, D), is 4/9. The correct option is: 4/9.
What is probability?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.
Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.
Calculating probability of selecting a card:
From the question, we are to determine the probability of selecting two cards with D and D
From the formula for probability, we have that
P(D) = Number of favorable outcomes to D / Total number of possible outcomes
From the given information,
Number of favorable outcomes to D = 2
Number of possible outcomes = 3
Thus,
P(D) = 2/3
Then,
The probability of selecting two cards that have D and D with replacement is
P(D, D) = P(D) × P(D)
P(D, D) = 2/3 × 2/3
P(D, D) = 4/9
Hence, the probability is 4/9.
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Which functions have an axis of symmetry of x = –2? Check all that apply.
f(x) = x2 + 4x + 3
f(x) = x2 – 4x – 5
f(x) = x2 + 6x + 2
f(x) = –2x2 – 8x + 1
f(x) = –2x2 + 8x – 2
The quadratic functions that have an axis of symmetry at x = -2 are given as follows:
f(x) = x² + 4x + 3.f(x) = -2x² - 8x + 1.How to obtain the axis of symmetry of a quadratic function?The standard definition of a quadratic function is given by the rule presented as follows:
y = ax² + bx + c, in which a is different of zero.
The axis of symmetry is given by the x-coordinate of the vertex, hence it's equation is defined as follows:
x = -b/2a.
Meaning that the correct options are given by the first and by the fourth options in this problem.
For the first function, we have that:
a = 1, b = 4.
Hence the axis of symmetry is obtained as follows:
x = -4/2 = -2.
For the fourth function, we have that:
a = -2, b = -8.
Hence:
x = -8/4 = -2.
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Question 39 of 40
What are the zeros of the function f(x) = (x + 5)2 x-8)?
A. X= 5 and x = -8
B. x= -5 and x = 8
C. X=-5 and x = 4
D. x= 5 and x= -4
SUBMIT
Answer:
C
Step-by-step explanation:
we have to solve the associated equation:
(x+5)(2x-8) = 0
a product is equal to 0 if at least one of its factors is equal to 0
so we can solve this two equations
x + 5 = 0 x = -5
2x - 8 = 0. x-4 = 0 x = 4
Write and equation to match the hanger.
Answer:
x = 3
Step-by-step explanation:
The weight of the left side is to match that of the right side.
5x + 2 = 17,
so 5x = 15, and x = 3
How do you write a function in Gee?
This is a function that takes in a geometry object as an input and calculates its area. It then returns the calculated area as an output.
1. Create a function with the desired name and parameters. In this case, the function is called “getArea” and takes in a geometry object as a parameter:
function getArea(geometry)
2. Calculate the area of the geometry using the “area” function in GEE:
var area = geometry.area();
3. Return the calculated area:
return area;
4. End the function:
This function will take in a geometry object and return its area. This can be used to calculate the area of any geometry, such as a polygon or a line. This is a useful function for GEE applications, as it can be used to quickly calculate the area of any given geometry.
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what are the properties of rational exponents and how are they used to solve problems
The properties of the rational exponents are given and a rational equation is of the form b = aˣ
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the rational exponent equation be A
Now , the properties of the exponent equations are
mᵃ×mᵇ = mᵃ⁺ᵇ
The powers of the exponents are added together
mᵃ / mᵇ = mᵃ⁻ᵇ
The powers of the exponents are subtracted together
( mᵃ )ᵇ = mᵃᵇ
The powers of the exponents are multiplied together
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
Any number raised to the power of 0 is 1
m⁻ᵃ = ( 1 / mᵃ )
Hence , the exponents are solved
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The preimage of a triangle has points A(4,6) B(10,5) and C(1,-3). What are the coordinate of the image after a dilation of 1/2?
Answer:
A (2,3); B (5, 2.5) C: (.5, -1.5)
Step-by-step explanation:
divide everything by 2
A cinde has a diameter of 26 units. What is the area of the cirde to the nearest
hundreath of a square unit?
A 81.68
Answer:
Area of circle = 530.66 unit sq
Step-by-step explanation:
here's your solution
==> Diameter of circle = 26 units
==> Radius of circle = 13
==> Area of circle = πr^2
==> Area of circle. = 3.14*(13*13)
==> Area of circle = 530.66 unit sq
hope it helps...
Please help, This is confusing. I'll mark brainiest
Answer: a.
Look at the tables closely, many of them are either trick questions or flat out wrong.
The quick ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces.
Complete question :
The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item weighing w ounces. C(w) 0.45w 0.35w + 1.6 if 0 < W 16 Which statement about the shipping rate is true?
A.it is possible that an item weighing less then 16 ounces could cost the same as an item weighing more than 16 ounces
B. to find the charge for shipping a package weighing more than 16 ounces, multiply the weight by $.035.
C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate
D. if the weight is greater than 16 ounces,the shipping rate is $.0.35 per ounce, plus $1.60
Answer:
C. Shipping at the second rate will always cost $1.60 more than shipping at the first rate
Step-by-step explanation:
The shipping rates are :
C(w) = 0.45w
Second rate :
C(w) = 0.35w + 1.6
For the first shipping rate, it only has a rate of change value which varies based on the weight of item to be shipped, C(w) = 0.45w.
However, the second shipping rate includes a fixed rate and rate based on the weight of item. This fixed rate implies that regardless of the weight of item to be shipped, a fixed fee is charged which is $1.60. This means that the shipping fee at the secind rate will always be $1.60 greater than thebfirst shipping rate.
a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes
pls help, explanation required
What is the perimeter?
Help plz... And
No links
I repeat No links!!
Answer:
the perimeter is 25 miles
Answer:
30 mi
Step-by-step explanation:
This is a right triangle, so the Pythagorean Theorem applies:
13^2 + x^2 = 12^2, or
x^2 = 25 and x = 5.
The perimeter is the sum of the dimensions of this triangle:
12 mi + 5 mi + 13 mi = 30 mi
This is algebra 2, please help me by using elimination to solve.
The correct option regarding the solutions of the system of equations for this problem are given as follows:
The solutions are (-1.19, 4.47) and (2.52, 27.92).
How to solve the system of equations?The system of equations for this problem is defined as follows:
4x² + x - y = 0.-x² - 5x + y - 9 = 0.Adding the two equations, we can eliminate the variable y, hence:
3x² - 4x - 9 = 0.
Meaning that this is a quadratic equation with the coefficients given as follows:
a = 3, b = -4, c = -9.
Inserting these parameters into a quadratic equation calculator, the solutions for x of the quadratic equation are given as follows:
x = -1.19 and x = 2.52.
When x = -1.19, the solution for y is calculated as follows:
y = 4x² + x = 4(-1.19)² - 1.19 = 4.47.
When x = 2.52, the solution for y is calculated as follows:
y = 4x² + x = 4(2.52)² + 2.52 = 27.92.
Meaning that the correct option is given by the second option.
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Find m (angle) 1 . Then classify the triangle by its angles.
M (angle) 1 =
Answer:
right triangle m=5
Step-by-step explanation:
because it has a 90 degree angle
solve x^2-4x=0 by factoring
[tex]\huge\text{Hey there!}}[/tex]
[tex]\mathsf{x^2 - 4x = 0}[/tex]
[tex]\text{Factor the LEFT side of your given equation to make it easier to solve}[/tex]
[tex]\mathsf{x(x - 4) = 0}[/tex]
[tex]\text{Set the factors to equal to the number 0}[/tex]
[tex]\mathsf{x - 4 = 0\ \& \ x = 0}[/tex]
[tex]\text{Simplify find and you should be able to have your answer to the given equation}[/tex]
[tex]\mathsf{x = 4 \ \& \ x = 0}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = 4\ or \ x = 0}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Select all questions that depicts one of the properties of exponents
Answer: 1st, 4th, and 5th choices
PLEASE HELP IM IN 4th grade
Answer:
30 feet
Step-by-step explanation:
a = l * w
Its a square so l and w are the same
x * x = 900
30 * 30 = 900
----------------
If you know about square roots
x = √900
x = 30
Answer:
1 ture
2 false
3 false
4 ture
Step-by-step explanation:
Can someone please help?!!!!!!
A sequence is represented by the recursive formula below:
The value of the sequence is (c) 13, 25, 37, 49
How to determine the value of the sequenceThe definition of the sequence is given as
a(1) = 13
a(n) = a(n - 1) + 12
The above definitions imply that we simply add 12 to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
a(2) = 13 + 12 = 25
a(3) = 25 + 12 = 37
So, the sequence is 13, 25, 37
Hence, the value is (c)
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The circle below has center H. Suppose that mLFEG=46°. Find the following.
From given circle, Measure of arc FG = 23πr/45 and ∠FHG = 92°.
The distance between the two locations along a segment of a curve is known as the arc length. Any portion of the circumference is an arc in a circle. The angle that an arc occupies at any given point is the angle created by the two line segments that connect that point to the arc's endpoints.
Length of an Arc = r, where is in radians, is the formula used to express the arc length of this arc OP.
The measure of ∠FHG = 2 × 46° [As Angle at center equals twice at circumference]
So, ∠FHG = 92°
Measure of the arc FG = 2πr(θ/360°)
FG = 2πr(92/360)
FG = 23πr/45
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5x/100 22/6 = 16 15/14
Answer: I don't know
Step-by-step explanation:
Which set of side lengths belong to a right triangle?
Answer:
10 cm, 6cm, 8cm
Step-by-step explanation:
Answer:
10 cm,6 cm,8 cm
Step-by-step explanation:
Which set of angle measures CANNOT be the angle measures of a triangle? 1. 60, 60, 61 2. 1, 1, 178 3. 13.9, 16.1, 150 4. 59, 60, 61
Answer:
1.
Step-by-step explanation:
60+60+61 is 181 and a triangle always has 180 degrees
Which is not a polynomial a 4x2 2x 1 by 3 YC x3 1 D y2 5y 1?
2) y+ 3÷y is the equation that is not a polynomial. Using addition, subtraction, multiplication, and division of numbers .
what is polynomial ?Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).
given
An algebraic mathematical equation known as a polynomial might have two components. coefficients and parameters
You can combine the solutions to these algebraic equations to achieve the result.
It follows the general formula as follows:
a + a1 + a+ …
2)y+ 3y is the equation that deviates from the formula above.
So, 2)y+ 3y is the equation that is not a polynomial.
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Find the value of x. Write your answer as a decimal
The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangles are congruent triangles. Then the ratio of the corresponding sides will be equal to one. Then the equation is given as,
4x + 17 = 7
Simplify the equation, then we have
4x + 17 = 7
4x = 7 - 17
4x = - 10
x = - 10/4
x = - 2.5
The equation is 4x + 17 = 7. Then the value of the variable 'x' will be negative 2.5.
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Example You practice paddleboarding for
3 weeks. You paddle the same amount each day
for 5 days each week. You paddle 22.5 miles
altogether. How many miles do you paddle
each day?
Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).
Explain equationA mathematical depiction of two equal things, one on either side of a "equals" sign, is called an expression. Equations can be used to solve common problems. To solve challenges in real life, we frequently turn for pre algebra assistance. Lessons in pre-algebra cover the foundational ideas of mathematics.
Here,
The 15 miles that Bob the Boy Scout must paddle upwards against the current takes him 10 hours.
He discovers that paddling 22.5 miles against the current only took him 5 hours when he turns back.
——
Upstream data: rate = d/t = 15/10 = 1.5 mph, distance = 15 miles, time = 10 hours.
————————
Downstream DATA: rate = d/t = 22/5 = 4.4 mph; duration = 5 hours; distance = 22 miles.
———————-
Equations:
upstream: Downstream, b-c = 1.5 mph; b+c = 4.4 mph
2b = 5.9 mph;
2b = 2.95; add and solve for "b" (speed of the boat in still water)
—-
For "c," use the formula
=> b + c = 4.4
=>2.95 + c = 4.4
=> c = 1.45 mph (speed of the current)
Therefore , the solution of the given problem of equation comes out to be 1.45 mph (speed of the current).
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Can canvas track tabs?
Canvas cannot track tabs.
While Canvas cannot track whether students switch to new tabs in their web browsers during a quiz or test, it can track when a student completes a quiz and navigates to a different page on the website rather than the one they were previously on. However, the general public cannot access this data.
In a perfect world, Canvas wouldn't be able to tell if a student opened new tabs in a browser or a new program or online browser while taking a quiz or test. However, Canvas will watch over and restrict student internet activity if the exam is proctored.
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Can u please help . ?............
Answer:
See the picture below
Step-by-step explanation:
3. A recipe for carrot-bean soup calls for 750 ml of broth, 300 g of beans, and
1/2 cup sliced carrots. How many grams of beans and cups of carrots will you
use if you only have 600 ml of broth? Show your thinking in the following
table.
(4 points)
A
B
с C
D
E
given
Answer: hope this helps
Step-by-step explanation:
600/750 = 4/5
The number of beans is 4/5*300.
The number of carrots is 1/2*4/5.