F1 = ____
(5√2)/2
10
5
5√2

F1 = ____ (52)/2 10 5 52

Answers

Answer 1

Answer:

[tex]F_{1}[/tex] = 5

Step-by-step explanation:

Given [tex]F_{1}[/tex] is perpendicular to [tex]F_{2}[/tex] then Δ ABC is right

Given [tex]F_{2}[/tex] = [tex]F_{1}[/tex]

Then using Pythagoras' identity in the right triangle

[tex]F_{1}[/tex] ² + [tex]F_{2}[/tex] ² = (5[tex]\sqrt{2}[/tex] )² , that is

2[tex]F_{1}[/tex] ² = 50 ( divide both sides by 2 )

[tex]F_{1}[/tex] ² = 25 ( take the square root of both sides )

[tex]F_{1}[/tex] = 5


Related Questions

Find the edge length of a cube if the surface area is 565.7 m².
0 9.71 m
9.48 m
0 10.31 m
10.97 m
None of the above

Answers

Answer:

9.71 m

Step-by-step explanation:

Surface area of cube is given by 6a^2 where a is the edge length.

Given

Surface area  =565.7 m²

let a be the edge length of required cube

then

6a^2 = 565.7 m²

=> a^2 = 565.7 /6 m² = 94.28

=> a = [tex]\sqrt{94.28}[/tex] = 9.71

Thus, first option  9.71 m is correct choice.

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point? A.

Answers

Answer: y=50x+3.5

Step-by-step explanation:

50 because that is how many mph

3.5 because he already drove that amount

Answer:

y=50x+3.5

Step-by-step explanation:

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 8686 chocolate chip cookies and 42 4242 sugar cookies. Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies. What is the greatest number of identical packages that Shaquira can make?

Answers

Answer: 2

Step-by-step explanation:

Given: Shaquira has made 86  chocolate chip cookies and 42 sugar cookies.

Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.

Now, the greatest number of identical packages that Shaquira can make= GCD of 86 and 42

Prime factorization of 86 and 42:

86 = 2 ×43

42 = 2 × 3 × 7

GCD of 86 and 42 = 2   [GCD = greatest common factor]

Hence, the greatest number of identical packages that Shaquira can make =2

PLESSE HELP THANKS SO MUCH

Answers

Answer:

b is ur answer mate ....

please help :) Studies involving humans or animals are conducted under strict policies and procedures. This solution addresses which limitation? A) size of the system B) ethical concerns C) lack of proper equipment D) limited amount of time

Answers

Answer:

B

Step-by-step explanation:

Ethical concerns!

Good luck on your assignment hope this helps!:)


Show how the greatest common factor of the numbers 10 and 15 can be used to reduce the fraction 10/15.

Answers

Answer:

2/3

Step-by-step explanation:

The greatest common factor is 5 because it can divide two of them. When you divide 10/15, it becomes 2/3.

Answer ASAP, Will give brainliest

Answers

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB  = 180°  { Co interior angles}

110° + ∠DAB = 180

         ∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

                 230 + ∠DCB = 360

                            ∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

      height² + 6² = 10²

      height² + 36 =100

               height² = 100 - 36

              height² = 64

               height = √64

height = 8 m

4) a = AB = x m

  b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

[tex]\frac{(a+b)*h}{2}\\\\[/tex]  = 120

[tex]\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120[/tex]

x + 9 = 120/4

x + 9 = 30

    x = 30 - 9

x = 21 m

AB = 21m

                             

Which graph solves the following system? x+2y=4 5x−2y=8

Answers

Answer:

elimination method

x+2y=4     1

5x-2y=8     2

1+2

6x=12

x=2

plug into x+2y=4

2+2y=4

2y=4-2

2y=2

y=1

(2,1)

so graph 1

a quadrilateral with two right angles must be an a trapezoid a square a rectangle or no classification guaranteed

Answers

Answer:

No classification guaranteed

Step-by-step explanation:

A parallelogram is a quadrilateral with 2 pairs of parrallel sides.

A rectangle has 4 right angles

A square has all 4 sides being congruent

A trapezoid only needs 1 pair of parrallel lines. However some trapezoids have no right angles but some do. In the context of your question it is probably a trapezoid. However, it is no classification guaranteed.

Is through BYU IS?

The correct option is Option A: a quadrilateral with only two right angles is a trapezoid.

What is a trapezoid?

The quadrilateral whose one pair of opposite sides are parallel is called the trapezoid.

So, if one side of the trapezoid touches the parallel side at right angles then it will form 90° with both of the parallel lines. Then two right angles will be formed in the quadrilateral.

A trapezoid is only required quadrilateral to have a pair of parallel sides. However, a trapezoid can have one of the sides connecting the two parallel sides and perpendicular to the parallel sides which would give two right angles. The picture is given below.

Therefore quadrilateral with only two right angles is a trapezoid.

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Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon. ​

Answers

Answer:

[tex]\boxed{x=60}[/tex]

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.

[tex]130=70+x[/tex]

Subtract 70 from both sides.

[tex]130-70=70+x-70[/tex]

[tex]60=x[/tex]

Answer:

x = 60°

Step-by-step explanation:

Exterior angle is equal to the  sum of opposite interior angles

x + 70 = 130

Subtract 70 from both sides

x = 130 - 70

x = 60°

find the value of x please

Answers

Answer:

             A. 40°

Step-by-step explanation:

AO = CO = radius

AO = CO  ⇒  AB = BC  and  m∠AOB = m∠BOC = ¹/₂m∠AOC

From BDOE:

m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°

(65° + 75°) + 90° + x + 90° = 360°

140° + 180° + x = 360°

x = 40°

The expansion of (1 + 4x)5 is​

Answers

Answer:

5+20x

Step-by-step explanation:

multiply 5 to 1 and 4x respectively

It is 8th grade math please get it right. My Dad gave this to me

Answers

Answer:

A=535.93

Step-by-step explanation:

A=P(1+r)^t

A=500[(1+0.07/4)]^4

A=535.93

Review what you know about products and sums represented by rectangular area models. [5 points] Use algebra tiles to multiply (x-1)(3x+2).

Answers

(x - 1)(3x + 2)
= 3x^2 + 2x - 3x - 2
= 3x^2 - x - 2

3x^2 - x - 2

What are some ways to solve an equation?

Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication, and division. If we add the same number to both sides of an equation, both sides will remain equal.

How do you evaluate an equation?

∫ y2+y−2dy ∫ y 2 + y − 2 d y∫ 2 1 y2 +y−2dy ∫ 1 2 y 2 + y − 2 d y∫ 2 −1 y2 +y−2dy ∫ − 1 2 y 2 + y − 2 d y

= (x - 1)(3x + 2)

= 3x^2 + 2x - 3x - 2

= 3x^2 - x - 2

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Hi how to solve this pythagoras theorem

Answers

Answer:

The perimeter of the triangle is 40.

Step-by-step explanation:

Pythagorean Theorem:  If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse.  Alternatively, x^2 + y^2 = r^2.

The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order.  Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).    

Performing the indicated operations, we get:

         4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1.  Simplify this first by combining like terms:

         20x^2 - 16x = 16x^2, or

         4x^2 - 16x = 0, or

          4x(x - 4) = 0.  Thus, x = 0 (which makes no sense here) or x = 4.  

The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1.  Substituting 4 for x, we get

P = 8 + 16 - 1 + 16 + 1, or 40.

The perimeter of the triangle is 40.                        

What is the factored form of 125x6 – 8?

Answers

Answer:

Step-by-step explanation:

125 = 5 *5 * 5 = 5³

8 = 2 * 2 *2 = 2³

125x⁶ - 8 = 5³(x²)³ - 2³

               = (5x²)³ - 2³     { a³ - b³ = (a -b)(a² + ab + b²)

               = (5x² - 2) ([5x²]² + 5x²*2 + 2²)

                 = (5x² - 2)(25x⁴ + 10x² + 4)

Hint: (5x²)² = 5² * (x²)² = 25* x²ˣ² = 25x⁴


Find the co-ordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by
segment joining (4,1) and (8,3).​

Answers

The coordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by segment joining (4,1) and (8,3). is (6.4, 2.2)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of the line passing through (4,1) and (8,3) is:

y - 1 = [(3 - 1)/(8 - 4)](x - 4)

y = 0.5x - 1

The line perpendicular to y = 0.5x - 1 has a slope of -2. It passes the point (6, 3), hence:

y - 3 = -2(x - 6)

y = -2x + 15

The line y = 0.5x - 1 and y = -2x + 15 intersect at point (6.4, 2.2)

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Solve y=x2-5 for x.

Answers

answer: x=+/- square root of y+5 (A, i think this one kinda confused me)

y=x^2-5
substitute y for 0
0=x^2-5
subtract x^2 on both sides
-x^2=-5
since they both can be negative and positive change signs to positive to be easier
x^2=5
square root both sides
x=+/- square root of 5

Helpppp pleaseeeeee!!!

Answers

Answer: yes.

Step-by-step explanation:

Answer: Yes

The roll of the dice is a random process that Jon has no control over (this is assuming the dice is fair of course). Whoever is selected first is not selected again, so the probability for the second selection will increase as there is a smaller pool of people to pick from.

Given quadrilateral ABCD, where the diagonals AC and BD intersect at point E. AE≅EC and BE≅DE Can you prove can you prove that the figure is a parallelogram? Explain. A. Yes; two opposite sides are both parallel and congruent. B. Yes; diagonals of a parallelogram bisect each other. C. Yes; opposite sides are congruent. D. No; you cannot determine that the quadrilateral is a parallelogram.

Answers

Answer:

B. Yes; diagonals of a parallelogram bisect each other.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.

Answer: B. Yes; diagonals of a parallelogram bisect each other.

If AE=EC and BE=DE then quadrilateral ABCD is a parallelogram because  diagonals of parallelogram bisect each other.

What is parallelogram?

A parallelogram is a 2 dimensional figure whose opposite sides are equal to each other and parallel to each other. Area of parallelogram is base*height.

How to prove quadrilateral a parallelogram?

To be parallelogram ΔAEB and ΔEDC should be congruent.

Angle AEB= Angle DEC

AE=EC

DE=EB

so both triangles are congruent by side, side, angle.

Similarly AE=EC , DE=EB and vertical angles AED= Vertical angle BEC.

Therefore triangle AED and BEC are congruent and that makes all their corresponding sides are also congruent.

And AB=DC.

Hence both pairs of opposite sides of a quadrilateral are congruent ,then the quadrilateral is a parallelogram.

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HELLLOPPPPPPP HELPPP ASAPPP PLEASE !!

Answers

Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

Or

4c=40

c=10

complete the square to solve
f(x)=x^2+6x-7​

Answers


Answer: x = 1 and x = -7

Explanation:
x^2 + 6x - 7 = 0
x^2 + 6x + 3^2 = 7 + 3^2
(x + 3)^2 = 16
x + 3 = +-4 (square both sides)

x + 3 = 4
x = 1

x + 3 = -4
x = -7

What is the approximate value of 2 -3

Answers

Assuming you are doing x minus y, the value would be -1.00

The number line can help - go left three times from 2 and you get an answer.

Assuming you are doing x times (-y), the value would be -6.00

Add -3 to itself 2 times

If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2,
find the values of
1) a-b
2) 2a-b

Answers

Answer: A=2 and B=13
Explanation: The Factor Theorem states that if a is the root of any polynomial p(x) that is if p(a)=0, then (x−a) is the factor of the polynomial p(x).

Let p(x)=x
3
+ax
2
−bx+10 and g(x)=x
2
−3x+2
Factorise g(x)=x
2
−3x+2:
x
2
−3x+2=x
2
−2x−x+2=x(x−2)−1(x−2)=(x−2)(x−1)
Therefore, g(x)=(x−2)(x−1)
It is given that p(x) is divisible by g(x), therefore, by factor theorem p(2)=0 and p(1)=0. Let us first find p(2) and p(1) as follows:
p(1)=1
3
+(a×1
2
)−(b×1)+10=1+(a×1)−b+10=a−b+11
p(2)=2
3
+(a×2
2
)−(b×2)+10=8+(a×4)−2b+10=4a−2b+18
Now equate p(2)=0 and p(1)=0 as shown below:
a−b+11=0
⇒a−b=−11.......(1)
4a−2b+18=0
⇒2(2a−b+9)=0
⇒2a−b+9=0
⇒2a−b=−9.......(2)
Now subtract equation 1 from equation 2:

(2a−a)+(−b+b)=(−9+11)
⇒a=2
Substitute a=2 in equation 1:
2−b=−11
⇒−b=−11−2
⇒−b=−13
⇒b=13
Hence, a=2 and b=13.

Find all solutions to the following equation

Answers

Answer:

x = -1

Step-by-step explanation:

-2/ ( x * (x+2)) = ( x+3) / ( x+2)

Using cross products

-2 ( x+2) = ( x+3) x* (x+2)

Divide each side by (x+2)   This means x cannot equal -2 because we are dividing by 0

-2 = x ( x+3)

Distribute

-2 = x^2 +3x

Add 2 to each side

0 = x^2 + 3x+2

Factor

0 = ( x+2) (x+1)

Using the zero product property

x+2 = 0  x+1 = 0

x = -2    x = -1

But above we said x cannot equal -2

so x = -1

The solution we said x cannot equal -2so x = -1

Step-by-step explanation:

-2/ ( x * (x+2)) = ( x+3) / ( x+2)

Using cross products

-2 ( x+2) = ( x+3) x* (x+2)

Divide each side by (x+2)   This means x cannot equal -2 because we are dividing by 0

-2 = x ( x+3)

Distribute

-2 = x^2 +3x

Add 2 to each side

0 = x^2 + 3x+2

Factor

0 = ( x+2) (x+1)

Using the zero product property

x+2 = 0  x+1 = 0

x = -2    x = -1

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3(q−7)=27 need help plzz 1st peep gets brainlest

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

q = 16

▹ Step-by-Step Explanation

3(q - 7) = 27

3q - 21 = 27

Add 21 to both sides:

21 + 21 = na

27 + 21 = 48

3q = 48

Divide both sides by 3:

3/3 = q

48/3 = 16

q = 16

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

q=16

Step-by-step explanation:

3q-21=27

27+21=48

48/3=16

Briefly describe this graph of a Femis wheel.


Answers

Answer: This is a periodic relation.

Step-by-step explanation:

This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.

Then we can write this as h(t) = A*sin(C*t + F) + B

Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.

2*A is the distance between the maximum height and the minimum height.

B is the middle height of the Femis Wheel.

The subject is operations on rational expressions.


The instructions are add or subtract the following expressions. Remember to find a common denominator when necessary. Reduce all answers to lowest terms.

Answers

Answer:

[tex]\frac{2(x-1)(2x+9)}{(x-3)(x-2)}[/tex]

Step-by-step explanation:

[tex]\frac{4x}{(x-3)}+\frac{6}{(x+2)}[/tex]

= [tex]\frac{4x(x+2)}{(x-3)(x+2)}+\frac{6(x-3)}{(x+2)(x-3)}[/tex]

Now we have done the denominators of each term of the expression equal.

Further we add the terms,

[tex]\frac{4x(x+2)}{(x-3)(x+2)}+\frac{6(x-3)}{(x+2)(x-3)}[/tex]

= [tex]\frac{4x(x+2)+6(x-3)}{(x-3)(x+2)}[/tex]

= [tex]\frac{4x^{2}+8x+6x-18}{(x-3)(x+2)}[/tex]

= [tex]\frac{4x^{2}+14x-18}{(x-3)(x-2)}[/tex]

Now factorize the numerator of the fraction.

4x² + 14x - 18 = 2(2x² + 7x - 9)

                     = 2(2x² + 9x - 2x - 9)

                     = 2[x(2x + 9) - 1(2x + 9)]

                     = 2(x - 1)(2x + 9)

Therefore, [tex]\frac{2(x-1)(2x+9)}{(x-3)(x-2)}[/tex] will be the answer.

I WILL MAKE BRIANLIEST PERSON BRIANLY. HAALP!!!!!

Answers

Answer:

she did not randomly select enough students

Step-by-step explanation:

there is too much of an area for mistakes in this experiment as the teacher could unknowingly have a bias in terms of choosing a female student.

Sofia tem 52 triângulos retângulos isósceles iguais. Ela quer fazer quadrados usando alguns desses triângulos. Ela pode fazer quadrados de quantos tamanhos diferentes?

Answers

Answer:

Portanto, o Sofia pode fazer 6 tamanhos diferentes

Step-by-step explanation:

A fim de sermos capazes de determinar efetivamente quantos quadrados de diferentes tamanhos podem ser formados a partir do triângulo isósceles 52, resolvemos isso usando a fórmula

2 (n + 1) Onde n = 0 e todos os inteiros positivos

em outro para obter um tamanho diferente para os quadrados, temos que adicionar mais triângulos para aumentar o tamanho

a) quando n = 0

2 (0 + 1) = 2 × 1 = 2 triângulos isósceles iguais

A união de 2 triângulos isósceles forma um quadrado. Este é o primeiro quadrado

= 1 quadrado

b) quando n = 1

2 (1 + 1) = 2 × 2 = 4 triângulos isósceles iguais = 1 quadrado

c) quando n = 2

2 (2 + 1) = 2 × 3 = 6 triângulos isósceles iguais = 1 quadrado

d) quando n = 3

2 (3 + 1) = 2 × 4 = 8 triângulos isósceles iguais = 1 quadrado

e) quando n = 4

2 (4 + 1) = 2 × 5 = 10 triângulos isósceles iguais = 1 quadrado

f) quando n = 5

2 (5 + 1) = 2 × 6 = 12 triângulos isósceles iguais = 1 quadrado

Adicionamos o número total de triângulos usados

2 + 4 + 6 + 8 + 10 + 12 = 42 triângulos

42 triângulos de 52 triângulos formariam 6 quadrados com tamanhos diferentes

Vamos fazer mais um, onde n = 6

g) quando n = 6

2 (6 + 1) = 2 × 7 = 14 triângulos isósceles iguais = 1 quadrado

2 + 4 + 6 + 8 + 10 + 12 + 14 = 56 triângulos

Isso já excedeu o número dado de triângulos em questão.

Portanto, o Sofia pode fazer 6 tamanhos diferentes de quadrados usando 42 triângulos isósceles iguais

Other Questions
Find xA. 33B. 443C. 332D. 113 1. Read the short personal essay by George Orwell.2. Answer the following questions. _How are the Europeans presented in this story? What are they like?_How are the Burmese presented? what are they like? _who do you empathize the most with? _ Describe the presence of prejudice and racism in the story events as well as Orwell's narration(wording choice). A 1000 kg car developed a snag and is standing in the middle of a road. The driver and a help pulled it with two ropes respectively with forces 2002 N 45 east of south and 400N 30 north of east. Assuming negligible friction, find the acceleration of car Which of the Prime Suite exercises completed in the chapter do you think will be used most often in the office setting? Explain your answer. dialog between two friend disscusing about eid ul adha kim places 500 in a bank account the pays 3% simple interest each yearhow much interest will she earn each year?how much will she have in her account after 1 year By 2002, Fisher's strategic initiatives in China had yielded significant results. They had 63% of the retail film market and 7,000 stores. A. Exporting B. Contractual agreements C. Strategic alliances/joint ventures D. Direct investment BRAINLIEST, THANKS AND 5 STARS IF ANSWERED CORRECTLY. Which sets of points does NOT represent a function? A. (-2, 1), (6, 3), (5, 1), (-4, 6) B. (-7, 3), (1, 2), (5, 3), (-7, 2) C. (-4, -3), (-1, 2), (0, 5), (3, 2) D. (-5, -1), (-2, -1), (1, -1), (4, -1) Which instrument is used to measure the height of a 20 litre jerrican A firm with a low credit rating from the bond-rating agencies would have Multiple Choice a low debt-to-equity ratio and a low quick ratio. a low debt-to-equity ratio. a low times-interest-earned ratio. a low times-interest-earned ratio and a low quick ratio. a low quick ratio. need help with these questions!!! please explain bc I don't really get it! Vanessa uses the expressions (3x2 + 5x + 10) and (x2 3x 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessas patio? Find the distance between the points J( 8,0) and K(1, 4).The exact distance between the two points is What purpose does the underlined portion of this excerptserve in the argument that Americans should agree to paymore taxes to raise money for entering the war? what is x? Please explain how you got it so I can understand for future questions. What tribes settled in the Mississippi River Valley? If we are deciding about how many steps a service should require in order to be accomplished, we are thinking about:________. a. radio_button_unchecked people b. radio_button_unchecked physical evidence c. radio_button_unchecked promotion d. radio_button_unchecked process According to the line graph, from 1999-2007, the number of drug-induced deaths rose dramatically. The numbers for each year are, roughly, 20,000, 20,000, 20,000, 25,000, 25,000, 30,000, 35,000, 35,000, 40,000. What is the mean of these statistics? 250,000 25,000 27,777.78 2,700.78 PLEASE ANSWER ASAP What happens to the ocean water before the precipitation part of the water cycle? ANSWERS; A.The ocean water condenses into the clouds. B.The ocean water collects back in the ocean. C.The ocean water falls back to Earth's surface. D. The ocean water runs off Earth's surface. A local gym charges a $25 monthly membership fee plus $2 per hour for aerobics classes. What is the linear equation that describes the relationship between the total monthly cost (Y) and the number of class hours each month (X)