2) Rearrange the Pythagorean Theorem to solve first for c and then y.

2) Rearrange The Pythagorean Theorem To Solve First For C And Then Y.

Answers

Answer 1

Answer:

[tex]x=z-\sqrt{-y} , or, x^2=z^2-y^2\\y=z-\sqrt{-x}, or, y^2=z^2-x^2[/tex]

Step-by-step explanation:

I can't do much except put the Pythagorean theorem in terms of y or x.

All I did was isolate x or y by subtracting the, x or y variable from each side.

[tex]-(y^2)+x^2 +y^2=z^2-(x^2)\\-(y^2)+x^2 +y^2=z^2-(y^2)[/tex]

Which tuns it into:

[tex]x^2=z^2-y^2\\y^2=z^2-x^2[/tex]

And I isolated further by squaring each side, but squaring negative number is difficult and causes imaginary numbers so I just think it should stay as all of them to the power of two.


Related Questions

Bennett was about 8 pounds when he was born in December. In March, Bennett was 15 pounds. What was Bennett's PERCENT INCREASE in weight from December to March?

Answers

Answer:

87.50%

Step-by-step explanation:

The increase in weight between December was Bennett was given birth to and the following March is the difference between the weight now and prior weight i.e 15 pounds -8 pounds=7 pounds

The % increase in weight =the increase in weight/initial weight

the increase in weight is 7 pounds

the initial weight was 8 pounds

the % increase in weight=7/8=87.50%

The percentage increase in weight is 87.50%  rounded to two decimal places

I don’t know how to solve this. Can I have help please?

Answers

Answer:

X=twenty four

Step-by-step explanation:

Answer:

if its referring to line rather than angle x should be 12

Step-by-step explanation:

A 2-pound bag of asparagus costs $5.44. What is the price per ounce?

Answers

Answer:

0.17 per ounce

Step-by-step explanation:

To find the price per ounce, divide the price by the number of ounces.

price/ number of ounces

A 2 pound bag costs $5.44. We need to find out how many ounces are in 2 pounds.

Each pound has 16 punches. Therefore, 2 pounds will have 32 ounces (16 ounces * 2 pounds=32 ounces).

Now we can find the price per ounce by dividing the price by the number of ounces.

price/ounces

We know the bag is 2 pounds, which is equal to 32 ounces. We also know the bag costs $5.44

price= $5.44

ounces= 32 ounces

$5.44/ 32 ounces

$0.17 / ounces

The asparagus costs 0.17 per ounce.

PLZZZ HELPP MEE -11 - (-5) / (2*3) is an example of A. a numerical equation B. an algebraic equation C. an algebraic expression D. a numerical expression

Answers

Answer:

This is a numerical expression or D.

Step-by-step explanation:

It is not algebraic because it doesn't include unknown variables such as x or y

and it is not a numerical equation because equations have equal signs in them such as 5 + 6 = 11

Answer:

it is a numerical expression

Step-by-step explanation:

it is not an algebraic equation because there are no variables say, p or q or any other variables attached or unattached to its coefficients. And no equal sign attached to it.

it is not an algebraic expression.

it is not a numerical equation because it has no equal sign neither is it equating itself to another.

finally, it is a numerical expression because it only consists of numbers and has no equal sign. Or it is not equating to any other solution.

How do you use the distance formula and slope formula to classify quadrilaterals and triangles?

Answers

Answer:

Hopeiit helped...

Please mark as brainliest...thanks!!!

Thanks!!!!!!!!!!!!

Step-by-step explanation:

Distance formula. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

The Distance Formula is a variant of the Pythagorean Theorem that you used back in geometry. Here's how we get from the one to the other:

Suppose you're given the two points (–2, 1) and (1, 5), and they want you to find out how far apart they are.

You can draw in the lines that form a right-angled triangle, using these points as two of the corners:

It's easy to find the lengths of the horizontal and vertical sides of the right triangle: just subtract the x-values and the y-values:

Then use the Pythagorean Theorem to find the length of the third side (which is the hypotenuse of the right triangle):

This format always holds true. Given two points, you can always plot them, draw the right triangle, and then find the length of the hypotenuse. The length of the hypotenuse is the distance between the two points. Since this format always works, it can be turned into a formula:

Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance d between these points is given by the formula:  d=√((x_2-x_1)²+(y_2-y_1)²)

Credits:

Distance formula | Analytic geometry (video) | Khan Academy

Purple Math

plz help I will give brainiest, how would you solve 4x + 2y = 18 3x - 5y = 20 by elimination showing all of the work and the final answers

note; there are two equations there but they are in the same question

Answers

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solve the equation 12x-14=4x+10​

Answers

Answer:

x=3

Step-by-step explanation:

12x-14=4x+10​

Subtract 4x from each side

12x-4x-14=4x-4x+10​

8x - 14 = 10

Add 14 to each side

8x - 14+14 = 10+14

8x = 24

Divide each side by 8

8x/8 = 24/8

x = 3

Answer: x = 3

Explanation: This problem can be done either of two ways.

By putting the variables together on the left and

the numbers together on the right or vice versa.

If we put our variables together on the left and our

numbers together on the right, we would start by

subtracting 4x from both sides to get 8x - 14 = 10.

Next, we add 14 to both sides to get 8x = 24.

Finally, we divide both sides by 3 to get x = 3.

What is the missing number in the table?

Answers

Answer:

The missing number is 16.

Step-by-step explanation:

The ratio between x and y is 1:4. 4 times 4 is 16. Hope this helped! :)

Answer:

Here is your answer for everyone Hope this helps

Step-by-step explanation:

So the first answer would be 16 for the missing gap then for Some of the graph is shown the graph shows LINEAR Growth which i got it wrong because i suck at guessing lol! then the last gap which i got wrong again is 24!

where it says what is the value of y would be associated with x = 6

1. 16!

2. linear growth!

3. 24!

PLZ HELP AND AWSWER!

Answers

Answer:

rectangular pyramid

Step-by-step explanation:

Ive had a question like that and i put that and got it right and because it makes the nost sense because its squares and they are going up if you get it

Solve 4(x - 3) - 2(x - 1) >0.
{x I x > -5}
{x I x > 5}
{x l x < 5}
{x I x < -5}

Answers

Answer:

x >5

Step-by-step explanation:

4(x - 3) - 2(x - 1) >0

Distribute

4x -12 -2x +2 > 0

Combine like terms

2x -10 >0

Add 10 to each side

2x-10+10 > 10

2x>10

Divide each side by 2

2x/2 > 10/2

x >5

The answer is: [C]: " {x | x > 5} " .

__________________________________________

Explanation:

__________________________________________

Given: " 4(x − 3) − 2(x − 1) > 0 " ;

__________________________________________

Note the "distributive property of multiplication" :

__________________________________________

a(b+c) = ab + ac ;

a(b−c) = ab − ac ;

___________________________________________

So, given:

_________________________________________________

→ 4(x − 3) − 2(x − 1) > 0 ;

_________________________________________________

Let us simplify; and rewrite:

_________________________________________________

Start with:

______________________________________________________

→ -2 (x − 1) = (-2*x) − (-2 *1) = -2x − (-2) = -2x + 2 ;

______________________________________________________

Now, continue with:

→ 4(x − 3) = (4*x) − (4*3) = 4x − 12 ;

______________________________________________________

So, given the original problem:

______________________________________________________

→ 4(x − 3) − 2(x − 1) > 0 ;

______________________________________________________

Rewrite;

Replacing: "4(x − 3)" ; with: "4x − 12" ;

and replacing "− 2(x − 1)" ; with: " -2x + 2" ;

______________________________________________________

as follows: → " 4x − 12 − 2x + 2 " > 0 ;

______________________________________________________

On the "left-hand side", combine the "like terms", and simplify ;

______________________________________________________

+4x −2x = +2x ; −12 +2 = -10 ; and rewrite:

______________________________________________________

→ 2x − 10 > 0 ; Add "10" to EACH SIDE of the inequality;

______________________________________________________

→ 2x − 10 + 10 > 0 + 10 ;

______________________________________________________

to get: → 2x > 10 ;

______________________________________________________

→ Now, divide EACH SIDE of the inequality by "2";

to isolate "x" on one side of the inequality; & to "solve"/"simply" for "x" ;

_______________________________________________________

→ 2x / 2 > 10 / 2 ;

_______________________________________________________

→ x > 5 ; which is:

_______________________________________________________

→ Answer choice: [C]: " {x | x > 5} " .

_______________________________________________________

What is the value of x? 35x – 13 x = x – 1

Answers

35x – 13 x = x – 1

⇒ 22 x = x - 1

⇒ 22x - x = -1

⇒ 21x = -1

⇒ x = -1/21

Thus,the value of x is -1/21

Step-by-step explanation:

Combine like terms and get x by itself on one side of the equation.

[tex]35x - 13x = x - 1 \\ 22x - x = - 1 \\ 21x = - 1 \\ x = - \frac{1}{21} [/tex]

Answer:

[tex]x = - \frac{1}{21} [/tex]

2/3 x = 2 2/5 what is x

Answers

explanation

change the improper fraction to proper fraction that is 2×5+2=12/5

2/3x= 12/5. (multiply both sides by the LCM of the denominators)that is by 15

2/3x×15=12/5×15 =

10x=36(divide both sides by 10)

x=3.6

answer

x=3.6

A scale model of a building is 5 inches wide by 7 inches long. If the scale is 1in:15ft, how long is the building. (You must include the unit.)

Answers

Answer:

75 feet wide and 105 feet long

Step-by-step explanation:

By using the ration provided in the question we can see that for every inch that the scale model has, it equates to 15 feet in the actual building. Therefore in order to find the actual size of the building we can multiply the values of the model by 15 like so...

Wide: 5 * 15 = 75 feet

Long: 7 * 15 = 105 feet

Therefore we can see that the building is 75 feet wide and 105 feet long

if p(-2,3), q(5,0),r(0,2) and s (-4,0) are plotted on the graph which ofthem would lie on x axis?
PLEASE GIVE THE GRAPH ALSO TO BECOME BRAINLIEST

Answers

Answer:

Points (-4,0) and (5,0) will lie on the x axis.

Step-by-step explanation:

To know if a point lies on the x axis, the y - value of a coordinate will always be zero. Here is the graph below:

write 14 out of 20 as a fraction and percentage please show working.​

Answers

Answer:

Percent = 70%

fraction = 7/10

Step-by-step explanation:

Percent

14 / 20 = 0.7

0.7 x 100 = 70%

Fraction

14 / 20

7 / 10

(just simplify 14/10 by dividing by 2 on the numerator and demotinator.)

14 out of 20 can be written as the fraction 7/10 and as the percentage 70%.

To write 14 out of 20 as a fraction, we can simply write it as a ratio of 14 to 20.

Fraction: 14/20

However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

Dividing 14 by 2, we get 7, and dividing 20 by 2, we get 10.

So, the simplified fraction is:

7/10

To express this fraction as a percentage, we can convert it by multiplying it by 100.

Percentage: (7/10) x 100 = 70%

Therefore, 14 out of 20 can be written as the fraction 7/10 and as the percentage 70%.

Learn more about percentage click;

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What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. A. 4.54 B. 5.00 C. 5.83 D. 34.00

Answers

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c  which is the distance from C to D

5.830951895 = CD

5.83 = CD

Answer:

C. 5.83

Step-by-step explanation:

This is the correct answer I took the exam

A média aritmética entre um inteiro positivo x e o seu sucessor é maior que 5. Quais são os possíveis valores de x?

Answers

Answer:

Any value greater than 5:

x > 5

Step-by-step explanation:

The average of two numbers 'a' and 'b' is given by the formula:

Average = (a + b)/2

If the average between x and its successor (that is, x+1) is greater than 5, we have that:

(x + (x+1)) / 2 > 5

x + x + 1 > 10

2x > 9

x > 4.5

The value of x is an integer number, so x can be any number greater than 5:

x > 5

Match the key aspect of a function's graph with its meaning
3-intercept
location on graph where input is zero
fo)< 0
intervals of the domain where the
graph is below the x-axis
-intercept
intervals of the domain where the
graph is above the x-axis
fo> 0
location on graph where output is
zero

Answers

Answer:

y- intercept --> Location on graph where input is zero

f(x) < 0         --> Intervals of the domain where the graph is below the x-axis

x- intercept --> Location on graph where output is zero

f(x) > 0         --> Intervals of the domain where the graph is above the x-axis

Step-by-step explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.

x^2 +4x+4=0 resolver en forma cuadratica

Answers

Answer:

Solve the equation for  x  by finding  a ,  b , and  c

of the quadratic then applying the quadratic formula.

x = − 2  Double roots

PLEASE HELP, I WILL MARK BRAINLIEST!

Answers

Answer:

1c 2b

Step-by-step explanation:

Answer:

1c 2b

Step-by-step explanation:

The equation of the line perpendicular to 5x+2y=20 and containing the point (5,10) is:

Answers

Answer:

all work pictured and shown

A ball is thrown into the air from an apartment balcony and falls to the ground. The height of the ball, h metres, t seconds after being thrown is given by the formula: h=−5t2+10t+35

How long does it take for the ball to hit the ground

Answers

Answer:

[tex]1+2\sqrt{2}[/tex] seconds

Step-by-step explanation:

When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:

[tex]0=-5t^2+10t+35 \\\\-5(t^2-2t-7)=0[/tex]

Plugging this into the quadratic equation, you get:

[tex]t=\dfrac{2\pm\sqrt{4+28}}{2}= \\\\\dfrac{2\pm4\sqrt{2}}{2}= \\\\1\pm2\sqrt{2}[/tex]

Since the time must be positive, it takes the ball [tex]1+2\sqrt{2}[/tex] seconds to hit the ground, or around 3.828. Hope this helps!

please help! i’m confused

Answers

Answer:

Applying the theorem of intersected chords inside a circle:

AR x RB = DR x RC

=> RB = DR x RC/AR = 3 x 5/2 = 7.5

=> Option B is correct

Hope this helps!

:)

Option be should be correct- hope this helps. I’m not a 100% sure but I believe this should be the answer

if the circumstance is 24,901 what is the diameter ?

Answers

I assume that you meant circumference instead of circumstance as circumstance is not a math term.

Given that the circumference is 24,901, determine the diameter.

So, when we find the circumference of a circle. We multiply the diameter by pi (3.14).

However, if we want to find the diameter, we can reverse it by dividing by pi to get the diameter.

So, it would become:

D = C/pi

D = 24901/3.14

D = 7930.25

Thus, the diameter is 7,930.25 (insert units here).

Answer:

C= 2PiR

24901=2 x 22÷7 × R

44R÷7

24901 x 7=44R

174307=44R

R=174307÷44

R= Approx. 3962

D= 3962 x 2

D= 7924

the answer to a is c but i'm really struggling to find its area (as you can probably tell area not my strongest point) hope you can help

Answers

Answer:

a)c

Step-by-step explanation:

i dunno about b

what is the greatest number of of acute angles that a triangle can contain?

Answers

Acute usually means below or exactly 90°, so the greatest would be 90

Answer:

3

Step-by-step explanation:

Please answer correctly !!!! Will mark brainliest !!!!!!!!

Answers

Answer: (x + 3)(x + 3)

Answer:

(x + 3) ^2

Step-by-step explanation:

Here is a map of a town.
The map shows a centimetre ruler.
1 cm represents 4 km.
What is the real-life distance between the park and the museum?

Answers

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

The ratio of map is 1cm : 4km. So you have to multiply by 4 :

[tex]1cm = 4km \\ 3cm = 4km \times 3 \\ 3cm = 12km[/tex]

12km

Step-by-step explanation:

Find the area of the semi circle with Diameter of 4

Answers

Answer:

Find the area of the semi circle with Diameter of 4

6.3

Step-by-step explanation:

The area formula for semicircle is (πr^2)/2.

r=2 because radius is half of diameter.

(π(2)^2)/2, 2 squared= 4 and half of it is 2. = 2π

2π would round to the nearest tenths is 6.3.

The area of the semi circle with Diameter of 4 is, 6.28 unit².

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

Diameter of semicircle = 4

Now,

Radius of semicircle (r) = 4/2

                                   = 2

We know that;

⇒ Area of semicircle = πr

Where, 'r' is radius of circle.

Hence, The area of the semi circle with radius 2 is,

Area of semicircle = πr²/2

⇒ Area of semicircle = 3.14 × 2² / 2

⇒ Area of semicircle = 6.28 unit²

Learn more about the circle visit:

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Find the value of x.

A. 5√6
B. 10√2
C. 5√2
D. 5
E. 10

Answers

Answer:

x = 10

Step-by-step explanation:

cos 45 = 5[tex]\sqrt{2}[/tex] / x

x = 5[tex]\sqrt{2}[/tex] / cos 45, cos 45 = [tex]\sqrt{2}[/tex] / 2

x = 10

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