Which identity is the result of using the pythagorean theorem to show that a triangle with side lengths x^2 - 1, 2x, and x^2 + 1 is a right triangle?
A. (x^2 - 1)^2 + (2x)^2 = -(x^2 + 1)^2
B. -(x^2 -1)^2 + (2x)^2 = (x^2 +1)^2
C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2
D. (x^2 - 1)^2 - (2x)^2 = (x^2 + 1)^2

Answers

Answer 1

9514 1404 393

Answer:

  C.  (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

Step-by-step explanation:

Inexplicably, three of the four answer choices have minus signs in them. Those are all incorrect. The appropriate choice is ...

  C. (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

__

Expanded, this is ...

  x^4 -2x^2 +1 +4x^2 = x^4 +2x^2 +1 . . . . the desired identity

Answer 2

Answer:

C.  (x^2-1)^2 + (2x)^2 = (x^2 +1)^2

Step-by-step explanation:


Related Questions

help pls! answer all three questions for brainlist!! (15 points)

Answers

Answer:

#1. Peng spent $48,918.

#2. The farmer had $10,660 at first.

#3. 2,160 minutes

Step-by-step explanation:

#1. (26 × $1,334) + (19 × $749)= $48,918

#2. 26 × 410 + 162= $10,660

#3. 2 ×(9 + 6 + 9 + 6)×12 ×3=  2×30×12×3= 2× 360 × 3= 720 × 3= 2,160 minutes

Answer:

For the first one: [tex](26*1334)dollars+(19*749)dollars=\\34684dollars+14231dollars=48915dollars[/tex] this is the expression of how much she spendsFor the second one:[tex]26employee*410dollars/employee=10660dollars\\10660dollars+162dollars=10822dollars[/tex] This was the original amount he hadFor the third one:So rectangles have two pairs of equal sides, 2 rectangles of the same size means their perimeter is [tex]2*(9feet+9feet+6feet+6feet)=60feet[/tex] Change to inches [tex]1foot=12inches,so,60feet=720inches[/tex] She takes 3 mins per inch then[tex]1inch=3minutes\\720inches=(3minutes)*720=2160minutes[/tex] Is how long she would take

Cameron won a laptop in a school raffle. The diagonal of the laptop measures 26 inches. The length is 24 inches. How tall is the computer screen?
plz help me

Answers

I need help to with this

The sum of two numbers is 20. One number is 26
more than the other one. Find the numbers.

Answers

Answer:

-3 and 23

Step-by-step explanation:

Adding -3 and 23, you get 20. On a number line, 23 is 26 places from -3.

Determine which slope is the steepest. Explain why it is the steepest.
A) Slope=2
B) Slope= 1/2
C)Slope=-4

Answers

Answer:

Answer choice C

Step-by-step ex. 4 is the greatest number out of explanation:

The greater the absolute value is, the steeper it is. In this case, the absolute value of -4 is positive 4 since the absolute value shows how far a number is a ways from zero and is always positive. 4 is the largest number out of all of these choices which means it is the steepest slope.

Please help i have to i have to calculate degrees with whole numbers help urgently

(-2)4

Answers

Answer:

(-2)4=-8

Step-by-step explanation:

Please help I have no idea what the answer is

Answers

Answer:

39

Step-by-step explanation:

180 - 141 = 39

A straight angle equals to 180, since the lines are congruent, the angles have the same measurements.

Answer:

The value of x is 141° {Co interior angles}.

Step-by-step explanation:

Hope this helps you. Please mark me as Brainlist.

Really difficult Geometry Question....


How many sides does a pentagon have?

A.) 1
B.) 2
C.) 3
D.) 4
E.) 5

Answers

Answer:

5

Step-by-step explanation:

pent means 5

a pentagon looks like this

count the sides

Answer
E.) 5

A pentagon has give sides

5/6 multiplied by 1/5
Show you work please

Answers

Answer:

The answer is 5/30

Step-by-step explanation:

The answer is 5/30 because when multiplying a fraction by a fraction you have to multiply the numerator by the numerator and the denominator by the denominator so if you multiply 5 by 1 you get 5 and when you multiply 6 by 5 you get 30 so the answer is 5/30

whats the circumference of a circle if the radius is 1.5 show your work

Answers

Answer:

well the eqaution is c=2pie r

the answer is 9.42

Step-by-step explanation:

hope this helpsss

Step-by-step explanation:

C=2πr

=2×22/7×1.5

=44/7×1.5

=9.42857143

Question 2
Which TWO expressions are equivalent to
1/2(2/3x-4)-2(1/4x-3)

Answers

answer:

- 1/6 x + 4

steps by steps:

What type of angle relationship

Answers

Answer:

they are corresponding angles. hope that helps!

Step-by-step explanation:

Answer:

From the photo we can see that a pair of parallel lines are intersecting one line. BEcause those lines are parallel they form the same angles . Therefore the <1 is equal to the m<5.

A. The relationship between <1 and <5 is that they are congruent meaning they share the same angle measure.

If the m<1 and m<5 are equal then that means the equations of those anlges must also be equal:

3x+7=5x-3

Now we can solve for x

3x+7=5x-3

7=2x+3

10=2x

5=x

x=5

Therefore for question b, x=5

B. X=5

Step-by-step explanation:

solve the equation for y: 1 / 3 x + y equals 4 ​

Answers

Subtract (1/3)x from both sides of the equation.

(1/3)(x) - (1/3)(x) + y = -(1/3)(x) + 4

0 + y = -(1/3)(x) + 4

y = -(1/3)(x) + 4

Done!

Find the slope of the line that passes through (4, 6) and (1, 10).

Answers

Answer:

given us,

(x1y1) = (4,6)

(x2y2)= (1,10)

here

slope= (y2-y1)/ (x2-x1)

= (10-6)/ (1-4)

= 4/ (-3)

Step-by-step explanation:

4/ (-3)

y
3
2
A++
-4 -3
> 2
4
-2
-1
1 2
3
-1 +
-2 +
-3+
-4
What is the slope of the line?

Answers

Answer:

Negative 3 plus:) hope this helps!

if x = -1, then which of the following equations makes a true statement
4x+9=20
-4x-5=-15
-3x+15=18
-5x-15=-22

Answers

only the third one makes x=-1 true

find dy/dx of y=csc(square root of x)

Answers

Answer:

[tex] y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}} [/tex]

Step-by-step explanation:

y = csc x

y' = -cot x csc x

[tex] y = \csc \sqrt{x} [/tex]

[tex] y' = \dfrac{d}{dx} [\csc \sqrt{x}] [/tex]

[tex]y' = (-\cot x \csc x) \dfrac{d}{dx} \sqrt{x}[/tex]

[tex]y' = (-\cot x \csc x) \dfrac{d}{dx} x^{\frac{1}{2}}[/tex]

[tex]y' = (-\cot x \csc x) \dfrac{1}{2} x^{-\frac{1}{2}}[/tex]

[tex] y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}} [/tex]

this picture is my problem, no one is helping me and idk what to do

Answers

Answer:

listen when in doubt go with c

Step-by-step explanation:

A can manufacturing company is designing a can of cat food to hold 5.5 oz, or about 163 cm3. They have written out that the equation for the surface area for a can with this volume is S=2πr2+163r. Explain why the equation is wrong and how to fix it.

Answers

Answer:

S = 2πr + 326/r

Step-by-step explanation:

Given

Volume = 163cm³

Required

Explain why S = 2πr² + 163r is not correct

The volume (V) of a cylinder is:

V = πr²h ----- (1)

And the surface area (S) is:

S = 2πr² + 2πrh ----- (2)

Make h the subject in (1)

h = V/πr²

Substitute V/πr² for h in (2)

S = 2πr² + 2πr(V/πr²)

Simplify the express in bracket

S = 2πr² + (2πrV)/(πr²)

S = 2πr² + 2V/r

Substitute 163 for V

S = 2πr + 2 * 163/r

S = 2πr + 326/r

The above shows the correct equation that solves the surface area and also shows how it was fixed by substituting proper values and following due process.

a • 1 = a

Which property does this represent?



inverse


associative


identity

distributive

Answers

this represents the identity property.

Factor each completely.
1) 9r²-26r+16

2) 25b²-9​

Answers

Answer: 1. ( 9r - 8 ) x ( r - 2 )

2. ( 5b - 3 ) x ( 5b + 3 )

Step-by-step explanation:

If c = the number of cars in a parking lot, which algebraic expression
represents the phrase below?
the sum of the number of cars and 9
A. C+9
O O
B. 90
C. C-9
O
o D.
SUBMIT

Answers

Answer:

c+9

Step-by-step explanation:

Key word SUM means addition

Find the midpoint of the line segment with endpoints (2,7) and (6,3).
es )
A)
(4,5)
B)
(4,6)
C)
(5.6)
D)
(5,7)

Answers

Answer:

endpoints (4,5)

Step-by-step explanation:

endpoints = (2+6/2,7+3/2)

= (8/2,10/2)

= (4,5)

help please will give brainliest!!!!

Answers

9 cm
Explanation:
15 squared - 12 squared = the missing side squared.
225-144=81
The square root of 81 is 9

Answer:

9

Step-by-step explanation:

15^2-12^2=81

So

[tex] \sqrt{81} = 9[/tex]

In november it's about 50 degrees in New Jersey but in Antarctica it's about -40 degrees. How much colder is it in Antarctica then it is in New Jersey?

Answers

Answer:

90 degrees

Step-by-step explanation:

Answer:

90 degrees.

Step-by-step explanation:

50 degrees (NJ) + -40 degrees (Antarctica) = 90 degrees.

A fox can run at a rate of 62 miles in 2 hours. A rabbit can run at a rate of 22 miles in 30 minutes. Which animal has the faster speed in miles per hour?

Answers

Answer:

The rabbit is faster, as it has a speed of 44 mph.

Step-by-step explanation:

Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.

In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.

Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.

Which of the sets shown includes the elements of set Z that are both odd numbers and multiples of 7?
Z={-21, -14, -7.0, 7, 14, 21}
A {-21, 21)
B. {-21.-7. 7. 21)
C: {-14, 0.14)
D. {-21, -14, -7)

Answers

Answer:

B. {-21.-7. 7. 21)

Step-by-step explanation:

The set made up of odd numbers and multiples of 7 is given as;

       {-21.-7. 7. 21)

Multiples of 7 are usually those numbers where 7 is  factor.

Odd numbers are numbers that cannot be divide by 2.

 So, the most fitting answer is B.

A teacher asked the class to solve the equation 3(x + 2) = 21. Robert wrote 3x + 6 = 21 as his first step. Which property did he use?

Answers

Answer:

He used the distributive property

Answer:

Robert used the distributive property.

Step-by-step explanation:

3(x + 2) = 21 <------- is the original equation.

3x + 6 = 21   <------- is Robert's first step.

Distributive property is a property that states that multiplying the constant by the numerical values/variables in the parentheses will equal the same as multiplying the consonant by the values added together.

Robert multiplied 3 times "x" and "2." This is the distributive property.

I hope this helps! :)

Mark bought an electronic tablet on sale for 1 fourth off the original price of $825.00. He also wanted to use a coupon for 1 fifth off the sales price. How much did Mark pay for the tablet?

Answers

Mark paid for $1 for the tablet

Find the HCF of 84 126 245.

Answers

HCF is 7 do you need explanation

Answer:

Prime factors of 84 = 4 . 3 . 7

Prime factors of 126 = 2 . 9 . 7

Prime factors of 245 = 5 . 49

Step-by-step explanation:

Find the value of x

Answers

Answer:

50?

Step-by-step explanation:

Answer:

x= 106

Step-by-step explanation:

The angle opposite 32 is also 32. Considering 44, the missing angle in that triangle would be 104. The angle to the left of 104 would be 76, and if you consider that angle 30 you are left with the measure of 74. X is the angle next to 74, so it makes sense for it to measure 106 because the values must add to 180, and even if it's not drawn to scale 106 looks accurate

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