The identity (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?
Answer:
The triple are: 48, 55 and 73
Step-by-step explanation:
Given
[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]
[tex]x = 8; y=3[/tex]
Required
The Pythagorean triple
We have:
[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]
Substitute: [tex]x = 8; y=3[/tex]
[tex](8^2 + 3^2)^2 = (8^2 - 3^2)^2 + (2*8*3)^2[/tex]
[tex](64 + 9)^2 = (64 - 9)^2 + (48)^2[/tex]
[tex](73)^2 = (55)^2 + (48)^2[/tex]
[tex]5329 = 5329[/tex]
Hence, the triple are: 48, 55 and 73
What’s the correct answer??? I will mark as brainlest
Answer: the answer is 10
Step-by-step explanation:
Is the product 3/5 times 8 greater than or less than 8? Explain.
Answer:
Less than
Step-by-step explanation:
1x8 - exactly 8
So multiplying something less than 1 x 8 must be less than 8.
3/5<1
Hope this helps!
Angle Relationships
When solving for x, the sine of 33° is used. What other angle and trigonometric function could be used to solve for x?
a. cos 57°
b. tan 33°
c. tan 57°
d. cos 33°
Please select the best answer from the choices provided
Answer:
A. cos 57°
Step-by-step explanation:
I calculated it logically
Answer:
The answer correct A. Cos 57
Step-by-step explanation:
90-33=57
Gary's stock dropped 3 points in value every day for 4 days. Find the integer that represents the change in value of his stock during that time.
Answer:
- 12 points
Step-by-step explanation:
He's dropping three points each day for four days, ie 4 * 3 , which is equal to 12.
Luigi recorded the temperature in his garden at diffternt times of the same day
[tex]please tell \: the \: answer[/tex]
Answer:
wdym
Step-by-step explanation:
The probability of getting a A in mr Atkesons class is 25% what is the probability of not getting a A
Answer:
75%
Step-by-step explanation:
100% - 25% = 75%
<3 Enjoy,
Dea
Analyze the table below and complete the instructions that follow.
A. A = 11, B = 39, C = 3, D = 8, E = 54
B. A = 22, B = 11, C = 5, D = 28, E = 54
C. A= 32, B= 17, C = 3, D= 8, E = 54
D. A = 22, B = 39, C = 3, D = 8, E = 54
I need help with this question please
Answer:
The answer is 4
Step-by-step explanation:
What is the solution to the inequality below?
√x>5
O A. No solutions
O B. O< x< 25
O C. x> 25
O D. x>10
Answer:
Quadratic Equations
A quadratic equation is one of the form ax2 + bx + c = 0, where a, b, and c are numbers, and a is not equal to 0.
Factoring
This approach to solving equations is based on the fact that if the product of two quantities is zero, then at least one of the quantities must be zero. In other words, if a*b = 0, then either a = 0, or b = 0, or both. For more on factoring polynomials, see the review section P.3 (p.26) of the text.
Example 1.
2x2 - 5x - 12 = 0.
(2x + 3)(x - 4) = 0.
2x + 3 = 0 or x - 4 = 0.
x = -3/2, or x = 4.
Question 9 of 10
Which best describes how to find the length of an arc in a circle?
A. Divide the arc's degree measure by 360°, then multiply by the
circumference of the circle,
B. Divide the arc's degree measure by 360°, then multiply by the
radius of the circle.
C. Divide the arc's degree measure by 180°, then multiply by the
radius of the circle.
D. Divide the arc's degree measure by 180°, then multiply by the
circumference of the circle.
To find the length of an arc in a circle we use (a) Divide the arc's degree measure by 360°, then multiply by the circumference of the circle,
Which best describes how to find the length of an arc in a circle?From the question, we have the following parameters that can be used in our computation:
The length of an arc in a circle
The length of an arc in a circle is calculated as
Length = Angle/360 * Circumference
This is representd by the option (a)
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in desperate need of help please :/
Answer:
since 13 miles is 68640 i wood say 189 inches long from bumper to bumper. A mile is 5,280 feet (or 63,360 inches).
If 335 of these cars were parked with their bumpers touching, they would be almost exactly a mile long.
If your question refers to traffic jams, the answer will be a bit different, since cars in traffic jams don’t get that close together. I’m going to take a wild guess here, but let’s assume that there is a 4-foot gap between cars in our hypothetical traffic jam. now put that in to 13 miles
Step-by-step explanation:
Find the volume of the solid
Answer:
V = 2784 mm^3
Step-by-step explanation:
The base of this prism is a right triangle. We can use the formula:
A = bh/2
to find the area of the base. A is area, b is base, and h is height. We can substitute what we have:
A = 16 * 12 / 2
A = 96
The volume of a prism is represented by the formula:
V = Bh
Where V is the volume, B is the base, and h is the height.
We have the area of the base as 96 and the height as 29, so we can substitute them in:
V = 96 * 29
V = 2784 mm^3
Last exam question for the day And im finally off!
No LINKS
Answer:
A1: a=4
A2: a=12
A3: p=18
Step-by-step explanation:
a= 1/2 4 * 2
= 4
a = 1/2 6 * 4
= 12
to find p add all sides
P= 6 + 6 + 6 = 18
Why are there so many bots on here?
Answer:
Not sure, It's getting kinda annoying ngl
Step-by-step explanation:
A square has an area of 49in^2. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45in^2. Find the dimensions of the rectangle Round your answer to the nearest tenth, when appropriate
The area of a rectangle is given as:
Area = Length x width
The dimensions of the rectangle are 9 inches and 5 inches.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Area of a square = 49 in²
Area of a square = side²
This means the side of the square is 7 inches.
Now,
Let the same amount be x.
The area of the rectangle = 45 in²
The length of the rectangle = 7 + x
The width of the rectangle = 7 - x
The area of the rectangle = Length x Width
45 in² = (7 + x)(7 - x)
45 = 49 - 7x + 7x - x²
45 = 49 - x²
x² = 49 - 45
x² = 4
x = 2
Now,
The dimensions of the rectangle are:
Length = 7 + x = 7 + 2 = 9 inches
Width = 7 - x = 7 - 2 = 5 inches
Thus,
The dimensions of the rectangle are 9 inches and 5 inches.
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Solve the proportion 7/5=21/x
Select the correct answer.
Which expression gives the area of triangle QRS?
s
15
20°
R
9
O A £19)(15)cos(209)
O B. (11)(15)cos(209)
oc. (9)(15)sin(20°)
OD. £(11)(15)sin(209)
Area of ΔQRS is 1/2×9×15×sin20° which is correct option (C)
What is area of triangle?
Area of triangle is half the product of any two sides and the sine of the included angle.
Area = 1/2.ab.sinC
Area of ΔQRS = 1/2×9×15×sin∅
∵ ∅ = 20°
Area of ΔQRS = 1/2×9×15×sin20°
Hence, area of ΔQRS is 1/2×9×15×sin20°
Learn more about area of triangle
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A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in
your answer.
00
alyd
yd
yde
yoo
3yd
х
3
?
2yd
4yd
2yd
Plz I need your help
The ratio of boys to girls in a
group is 7 : 1. If there are 48 more boys
than girls, work out how many girls
there are
Answer:
48+x/x=7/1
48+x=7x
6x=48
x=8
no. of girls = 8
no.of boys= 48+8
= 56
The answer is 8
Answer:
8 girls
Step-by-step explanation:
Ratio boys to girls = 7:1
There area 48 more boys than girls
First lets make an equation
7x - 1x = 48
6x = 48
x = 8
There are 8 girls
Check:
7*x : 1*x =
56 : 8
56 - 8 = 48
Correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Can somebody please help me out please my grads are bad
Answer:
700mm
Step-by-step explanation:
.7 meters = 70cm = 700mm
Answer:
ASK A RABBIT
Step-by-step explanation:
question in pictures
Answer:
V = 252 m³
Step-by-step explanation:
Formula for volume of a triangular prism = base area × height of prism
We are given the height (H) of the prism = 9 m
Let's find the base area using the figure of the base that is shown above with the dimensions:
Base area = ½*bh
b = 14 m
h = 4 m
Base area = ½*14*4
= 28 m²
✅Volume of the triangular prism = 28 × 9
= 252 m³
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=26°, and DB = 48 feet. Find the length of BC to the nearest tenth of a foot.
The length of BC Is ___ ft.
Answer:
98.4 feets
Step-by-step explanation:
To obtain BC
we could make use of B as angle, the apply the trigonometric relation :
Tan B =adjacent / hypotenus
Tan B = DB / BC
Tan 26 = 48 / BC
0.4877325 = 48 / BC
BC = 48 / 0.4877325
BC = 98.4 feets
2x+y=3
x-y= 1
solve the equation
Answer:
x = 4/3
y = 1/3
Step-by-step explanation:
System of equations! This is set up really well to make the second equation equal x then substitute.
x - y = 1
x = 1 + y
and then our substitution:
2 (1+y) + y = 3
and solve:
2 + 2y + y = 3
3y + 2 = 3
3y = 1
y = 1/3
And now we can substitute that value into one of our equations:
x - (1/3) = 1
x = 4/3
Next we should check by substituting these values into both of our equations:
2 (4/3) + (1/3) = 3
9 / 3 does equal 3 !
(4/3) - (1/3) does equal 1 !
Therefore, x = 4/3 , and y = 1/3
Please help me! What is x and y? Thank you!
Answer:
x=3. y=6
Step-by-step explanation:
So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.
So to find what x equals, we can take the 13, and make it equal to the 4x+1:
13=4x+1
Subtract the one from both sides:
12=4x
Divide both sides by 4:
3=x
Or
x=3
So we know the x value is 3.
Now lets solve for y using the bottom equations:
2x+y=8x-2y
Subtract 1y from both sides:
2x=8x-3y
Subtract 8x from both sides:
-6x=-3y
Divide both sides by -6:
x=1/2y
So we already know that x=3, lets plug that in for x, and solve for y:
3=1/2y
Or
1/2y=3
Multiply both sides by 2 to get 1y:
y=6
So we know that y is equal to 6.
Hope this helps!
122333444455555666666777777788888888
what is the patern
Answer:
each number it being counted that number of times
hope this helps
have a good day :)
Step-by-step explanation:
Which input value produces the same output value for the two functions on the graph?
у
5
4
3
+ N
f(x) == {x+1
g(x) = 3x-4
-5 4 -3 -2 -14
2
х
g(x)
-3-
-5
The input value that produces the same output value for the two functions on the graph is; x = 3
Linear Equation GraphsFrom the attached graph, we see the two functions represented by;
Blue line which is g(x)
Red line which is f(x)
Now, the input values are all values of x that can be traced to a corresponding value of y on the function lines.
Now, from the graph we see that the to lines meet at the coordinate (3, -1). Thus, the input value that produces the same output value is x = 3.
Read more about Linear Equation Graphs at; https://brainly.com/question/14323743
what is 1+1-(3x3)-(1x9)
Arrange the vehicles in descending order according to the altitudes at which they operate.
Vehicle Altitude (feet)
sailboat 0
submarine -1,500
glider 5,000
airship 3,000
A.
sailboat, submarine, glider, airship
B.
submarine, sailboat, airship, glider
C.
airship, glider, submarine, sailboat
D.
glider, airship, sailboat, submarine
Answer:
airship, glider, submarine, sailboat