Answers
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
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
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:
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°
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
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.
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
If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2,
find the values of
1) a-b
2) 2a-b
Answers
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.
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!:)
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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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
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
= 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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Solve y=x2-5 for x.
Answers
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
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.
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.
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
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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The expansion of (1 + 4x)5 is
Answers
Answer:
5+20x
Step-by-step explanation:
multiply 5 to 1 and 4x respectively
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
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.
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
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.
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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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
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.
PLESSE HELP THANKS SO MUCH
Answers
Answer:
b is ur answer mate ....
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
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.
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
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°
