Answer:
Pythagorean triple (PT) can be defined as a set of three positive whole numbers that perfectly satisfy the Pythagorean theorem: a2 + b2 = c2.
theorem: a2 + b2 = c2.
This set of numbers are usually the three side lengths of a right triangle. Pythagorean triples are represented as: (a, b, c), where, a = one leg; b = another leg; and c = hypotenuse.
There are two types of Pythagorean triples:
Primitive Pythagorean triples
Non-primitive Pythagorean triples
Primitive Pythagorean triples
A primitive Pythagorean triple is a reduced set of the positive values of a, b, and c with a common factor other than 1. This type of triple is always composed of one even number and two odd numbers.
For example, (3, 4, 5) and (5, 12, 13) are examples of primitive Pythagorean triples because each set has a common factor of 1 and also satisfies the
Step-by-step explanation:
Pythagorean theorem: a2 + b2 = c2.
(3, 4, 5) → GCF =1
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
25 = 25
(5, 12, 13) → GCF = 1
a2 + b2 = c2
52 + 122 = 132
25 + 144 = 169
169 = 169.
hope you all like this answer.
mark this answer as brainlist.
rate this answer quys.
Thank you ❤️.
divide 4x+2x^3+7x^2-1 by x=-1
Answer:
12
Step-by-step explanation:
4(1)+2(1)”3+7(1)”2-1
4+2+7-1
12
wait if x=-1 it’s zero
Find seven ordered pairs to the equation y=8 - x2.
NEED IT ASAP PLEASE!!!
-3 | 9-8=1 | (-3, 1)
-2 | 4-8= -4 | (-2, -4)
-1 | 1-8=-7 | (-1, -7)
0. | 0-8=-8 | (0, -8)
1 | 1-8=-7 | (1, -7)
Write the equation in standard form.
y+ 7= -3/2 (x+1)
Answer:
2y + 3x = -17
Step-by-step explanation:
standard form is Ax + By = C
first step is to distribute -3/2 among 'x' and then by 1 to get:
-3/2x - 3/2
you now have y + 7 = -3/2x - 3/2
we want to get the -3/2x term on the same side as 'y' and get 7 from the right side to the left side
we want to add 3/2x to the left side of the equation because it is being subtracted:
y + 3.2x + 7 = -3/2
now we want to subtract 7 to the right side because it is currently being added:
y + 3/2x = -7 3/2
we can convert -7 3/2 to be -17/2
we now can eliminate the denominator of 2 in the 'x' term by multiplying each term by 2 to get:
2(y + 3/2x) = -17/2(2)
distribute and simplify to get:
2y + 3x = -17
Is this correct now?
Please help me ASAP
the answer should be A
What is the equation of this line?
y=3/4x+2
y=4/3x−2
y=3/4x−2
y=−3/4x−2
Answer:
We need the picture
Step-by-step explanation:
Answer:
Step-by-step explanation:
Where's the line?
I need help asaapppp
please help!
The freezing point of seawater is -2 °C. The freezing
point of nitric acid is -42 °C. How much greater is the freezing
point of seawater than the freezing point of nitric acid?
Answer:
Express concentrations of solution components using mole fraction and molality
Describe the effect of solute concentration on various solution properties (vapor pressure, boiling point, freezing point, and osmotic pressure)
Perform calculations using the mathematical equations that describe these various colligative effects
Describe the process of distillation and its practical applications
Explain the process of osmosis and describe how it is applied industrially and in nature
Step-by-step explanation:
i helped
f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
Let variable a be a real number. Find the range of values of a such that the equation f(x) = g(x) has two different solutions.
***The answer should be -2 < a < 4, but I don't know why.
Step-by-step explanation:
f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
f(x) = g(x)
x² + 2ax + a² - a = 4 - x²
2x²+2ax+a²-a -4 =0
the equation has two different solutions
=> (2a)² - 4(2)(a²-a-4) > 0
4a²-8a²+8a +32 >0
-4a²+8a+32 > 0
a²-2a-8 >0
(a-4)(a+2) < 0
the answer should be
-2 < a < 4
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
help！！！！What is a value of y that makes the relation （3，5）（2，5）（9，y）a function！
Answer:
tesie nqsguirin tentndaoloe
Step-by-step explanation:
7/8 divided by 3/4 is what?
Answer:
1/8
Step-by-step explanation:
3/4=6/8
7-6=1
therefore 1/8
Answer:
7/6
Step-by-step explanation:
7/8 divided by 3/4= 7/8 x 4/3 = 28/24= 7/6
Mao counts by fives to 30.alana counts by tens to 40.who will say more numbers? Explain
Answer:
Mao will say more numbers
Step-by-step explanation:
Mao will say more numbers because, to get to 30, you must count by fives 6 times. For example, 5,10,15,20,25,30. There are 6 numbers there. On the contrary, Alana is only going to count 4 times. 10,20,30,40. 6 is greater than 4, therefore Mao will say more numbers. I hope this helps!
Amelia's garden is 7 feet long and 8 feet wide. What is the area of Amelia's garden?
Answer:
10 feet long each because 8 × .25 is 2 and 8 + 2 is 10
Step-by-step explanation:
Brainliest?
Walmart sells a 40-ounce jar of peanut butter for $5.58
What is the Unit Price?
(b) A number increased by -8 is greater than 12
Answer:
x+-8 > 12 Hope this helps.
the area of 1.25 and 0.8
Answer:
2.05
Step-by-step explanation:
1.25 + 0.8= 2.05 but if your doing multiplication then it would be 1 just 1.
Hayden has 7 shells . Elly has 5 fewer shells than Hayden . Beth has 2 shells . How many shells do they have in all?
Answer:
11 i think
Step-by-step explanation:
Just tell me which one it is because I am confused please help me
Answer:
[tex]d \: is \: correct[/tex]
Answer:
a. y = -2x-5
Step-by-step explanation:
*Don't get confused the y-axis scale is 2
I guess you would kind of have to guess by looking at the graph for this one, the y-intercept is 5.
The graph is negative because it is pointing the opposite way
The slope is 2 because the y-axis has a scale of 2
With these facts you can formulate that the equation would be y = -2x-5
Given the matrices A and B shown below, solve for X in the equation -3X + A= 3B.
Answer:
A = 3 B + 3x
B = - X + A/3
Step-by-step explanation:
X = - B + A/3
someone help i’ll mark brainliest!!! Find the equation of the line through (7,1)
that has a slope of 1/2
Express your answer in General (Standard) Form.
Answer:
y=1/2x - 2.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can use the point-slope formula to write an equation for this line. The point-slope formula states :
where m is the slope and (x1 y1) is a point the line passes through .
We can substitute the slope and values from the point to give:
(y-1) = 8 (x-7)
We can also transform this equation to the slope-intercept form by solving for
y
. The slope-intercept form of a linear equation is: y=mx+b
where the m is the slope and b s the y-intercept value.
y-1= (8 times x) - ( 8 times 7)
y-1= 8x - 56
y-1 + 1= 8x- 56 + 1
y-0= 8x- 55
y= 8x - 55
6. What is the value of x in the solution to the systems of linear equations shown below?
2x - 2y+z=3
5y-z= -31
x+ 3y + 2z = -21
Step-by-step explanation:
[tex]1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z[/tex]
Answer:
x= -5
Step-by-step explanation:
5y-z= -31, add z and 31 to both sides
5y+31 = z, substitute z in the other two given equations
2x - 2y+z=3
2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides
2x+3y = -28
x+ 3y + 2z = -21
x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis
x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides
x+13y = -83
Now we have 2 equations with 2 variables x and y to solve
2x+3y = -28
x+13y = -83
Because we need to find x then from the first equation we can write that
3y = -2x-28, subtract 2x from both sides and the divide both sides by 3
y = (-2x-28)/3, substitute this in the second equation
x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis
(3x/3)+[(-26x - 364) /3= -83, find the common denominator
3x+[(-26x - 364) = -83*3 , cross multiply
3x -26x = -249 +364, add 364 to both sides
- 23x = 115, divide both sides by (-23)
x= -5
Please help me ASAP!!!!!
Answer:
c and b
Step-by-step explanation:
behdjdurjnrnrjdjdjdi
Prove the polynomial identity.
(4x^2−2)^2−(4x^2)^2=4(1−2x)(1+2x)
Drag and drop the lines of the proof in the correct order to complete the proof.
Answer:
(4x^2 - 2)^2 - (4x^2)^2 = 4(1 - 2x)(1 + 2x)
16x^4 - 16x^2 + 4 - 16x^4 = 4(1 - 2x)(1 + 2x)
4 - 16x^2 = 4(1 - 2x)(1 + 2x)
4(1 - 4x^2) = 4(1 - 2x)(1 + 2x)
4(1 - 2x^2)(1 + 2x) = 4(1 - 2x)(1 + 2x)
Eraph the line that represents the equation Y = -2/3x + 1
I need answer ASAP
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation is given in "slope-intercept" form.
y = mx + b
where m is the slope, and b is the y-intercept.
__
For graphing, it is usually convenient to start with the y-intercept. The value of 'b' in your equation is +1, so the graph will go through the point y=1 on the y-axis. That point's coordinates are (0, 1).
The value of m represents the slope, or "rise"/"run" of the line. A slope of -2/3 means the line "rises" -2 units for each "run" of 3 units to the right. Then another point on the graph will be 3 units to the right of the y-axis, and 2 units down from y = 1. That point is (3, -1).
The line is drawn through these points you found on the graph.
What is the distance between the points (15,17) and (15,-4) in the coordinate plane?
A.
21 units
B.
10.5 units
C.
13 units
D.
2 units
Answer:
21
Step-by-step explanation:
15-15=0
17-(-4)=21
sqrt(0^2+21^2)=21
Help pleaseeeees x+1/6=3x/10
Answer:
X=1/174
Step-by-step explanation:
Answer:
x = -5/21
Step-by-step explanation:
The common denominator between all the terms in this equation is 30. Multiply everything by 30.
[x+1/6=3x/10] * 30
30x + 5 = 9x subtract 9x on both sides
21x+5 = 0 subtract 5 on both sides
21x = -5 divide 21 on both sides
x = -5/21
18/3=????????????????????
Answer:
18/3=6
Step-by-step explanation:
3 can be made out of 18 6 times
Solve four-tenths plus four ninths
Answer:
[tex]\frac{38}{45}[/tex]
Step-by-step explanation:
[tex]\frac{4}{10} +\frac{4}{9}[/tex]
So first you need to have a common denominator (the number on the bottom)
The least common denominator (LCD) would be 90.
So then the fractions would be: [tex]\frac{36}{90} +\frac{40}{90}[/tex].
Add.
You get: [tex]\frac{76}{90}[/tex]
Simplify and the answer is [tex]\frac{38}{45}[/tex]
GE bisects angle DGF , m angle DGE = 53º. Find m angle DGF.
M angle DGF
Answer:
4.5 degres
Step-by-step explanation: