The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.
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Answer:
C) 92, leg
Step-by-step explanation:
a² + 28² = 96² *the hypotenuse is always the longest side
a² + 784 = 9216
a² = 8432
a = √8432
'a' is approximately 92, and is a leg
Related Questions
6
(
f
+
4
)
+
2
(
f
+
4
)
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6(f+4) + 2(f+4)
Use the distributive property:
6f+24 + 2f + 8
Now combine like terms:
8f +32
The answer is 8f + 32
Answer:
8 f + 32
Step-by-step explanation:
6 ( f + 4 ) + 2 ( f + 4 )
Distribute
6 × f + 6 × 4 + 2 × f + 2 × 8
6 f + 24 + 2f + 8
Collect like terms
6 f + 2 f + 24 + 8
Add the numbers
8 f + 32
Which statement describes why the system has two solutions?
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multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4
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__________________________
Step 1: Combine 3x² and 1x² to get 4x²
Step 2: Combine 5x and -2x to get 3x
3x² + 5x + 1 × x² - 2x + 4
= 4x² + 5x - 2x + 4= 4x² + 3x + 4___________________________
PLEASE HELP! Math (recursive sequences)
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Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.
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3.1 x 22 1/2 = 69.75 rounded is 70
**PLEASE HELP THIS IS FOR A FINAL**
Please show work as well
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ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!
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Step-by-step explanation:
everything can be found in the picture
The function f(x) is shown below.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
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Answer:
f(g(2)) = 2
Step-by-step explanation:
g(2)
g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]
f(g(2))
[tex]g(2) = -3[/tex]
Thus
[tex]f(g(2)) = f(-3)[/tex]
Looking at the table, when [tex]x = -3, f(x) = 2[/tex]
Thus: [tex]f(g(2)) = 2[/tex]
Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45
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Measurement questions please help
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Answer:
There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.
2.8125
Step-by-step explanation:
use thing below to get answers or count them
Please help I’ll give brainliest
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Answer:
15
Step-by-step explanation:
15 cubed (15×15×15) equals 3375
Write and equation for a line that is parallel to the line 4y + 3x = 12
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Answer:
y = -3/4 x + B
Step-by-step explanation:
B is the translation of the line across y-axis
Write an equation of the line that passes through the point (4,5) and has a slope of -2.
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Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (4, 5) into the partial equation
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
Answer:
Step-by-step explanation:
slope=-2
now using slope intercet formof equation of straight line,we get
y=mx+b
or, y=-2x + b
y + 2x =b
2x + y=b ...................... eq(i)
since the line passes through the point (4,5) it satisfies the equation (i)
y=5 and x=4 so,
equation is 2x +y =b
2*4 + 5=b
8+5=b
13=b
substituting the value of b in eq(i)
2x + y=b
2x + y=13
2x + y-13=0 is the required equation of the line.
What is the correct ratio of each rational root of the polynomial Function
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Answer:
factor of 6 and 5
Step-by-step explanation:
Which integer is farthest from 0?
3
-8
-10
9
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Answer:
-10
Step-by-step explanation:
i think this is the answer
The value of log₃⁵ x log₂₅⁹ is...
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Answer:
i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong
Please help me i would give more points but i dont have much (Giving brainlest)
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Rearrange to make it easier!
5.3x + 3.6x + 9.8 - 8.14
8.9x + 1.66
B is the answer.
Answer:
Step-by-step explanation:
First, put them in order.
5.3x+3.6x+9.8-8.14
Add 5.3x and 3.6x
8.9x
Subtract 8.14 from 9.8
1.66
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to
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Answer:
Step-by-step explanation:
what is the area of this rectangle?
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Answer:
24 tiles^2
Step-by-step explanation:
Length = 6
width = 4
Area = Length x width
= 6 x 4
= 24 tiles^2
If f(x) = 3x + 2, what is f(5)?
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Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
Let x=5
f(5) = 3*5 + 2
Multiply first
= 15+2
Then add
= 17
V = I ( R + r )
r = ?
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Answer:
r = [tex]\frac{V-IR}{I}[/tex]
Step-by-step explanation:
Given
V = I (R + r) ← distribute parenthesis
V = IR + Ir ( subtract IR from both sides )
V - IR = Ir ( divide both sides by I )
[tex]\frac{V-IR}{I}[/tex] = r
The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x.
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Answer:
28=12+15+8+x
28=35+x
35-28=x
x=7
Which one is it?
a) <
b) =
c) >
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Answer:
B) =
Step-by-step explanation:
When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.
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Have a great summer :)
How do I find RS? I've been having great trouble with questions like this recently.
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To find the value of RS, you first have to solve for the variable x.
To do this you solve the equation of 2x - 6 + 1 + x - 4 = 18. You get this equation by adding all the values of the line PS together, equaling them to 18, because these lines have the same value.
Solving this equation gives you x = 9.
You then substitute 9 into x - 4.
9 - 4 = 5.
This gives you RS = 5
Answer:
5
Step-by-step explanation:
We can solve by solving for x
2x-6 + 1 + x-4 = 18
3x-9=18
3x=27
x=9
Plug in 9 for x in Segment RS and you get (9) - 4 = 5
Hope this Helps!
Please Mark Me Brainliest!
:)
Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?
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Answer:
Step-by-step explanation:
Solve the system of equations.
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Step-by-step explanation:
[tex] - 6y + 11x = - 36 \\ - 4y + 7x = - 24 \\ 11x = 6y - 36 \\ x = \frac{6y - 36}{11} \\ - 4y + 7( \frac{6y - 36}{11} ) = - 24 \\ - 4y + \frac{42y}{11} - 22.91 = - 24 \\ - 4y + \frac{42y}{11} = - 1.09 \\ - 0.18182y = - 1.09 \\[/tex]
[tex] y = 5.99 = 6 \\ y = 6 \\ x = \frac{6(6) - 36}{11} \\ x = \frac{36- 36}{11} = 0[/tex]
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Answer:
105˚, 75˚
Step-by-step explanation:
<2 is 75˚ by same side angles of a transversal.
<1 is supplementary to <2 so 180-75 = 105˚
Which best describes angle 3 and angle 7?
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Answer:
A) corresponding
Step-by-step explanation:
PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST
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20 b: x = 12
17 c: 30
Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61
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Answer:
61
Step-by-step explanation:
lenths is a right anglre
