The two lines are parallel if they are at same distant, but these lines will never meet at any point.
Parallel lines do not intersect each other. These lines are equidistant from each other.
In the given angles the line CB will be parallel to line AC.
CB ≅ AC
These two lines will be equidistant from each other since they both form an equivalent angle. These lines will not intersect with each other.
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Help pleas like please ASAP
Answer:
(x+9)(x+5)
Step-by-step explanation:
find 2 numbers that add to 14 and multiply to 45
With the steps pls ……………………..
Answer: $21, 600
Step-by-step explanation:
Given:
Original cost (when the shop owner brought it) = $20,000
Profit amount = 20% of original cost
Discount rate = 10%
Solve:
First Step: Find the market price (before discount)
$20, 000 × (1 + 20%) = $24, 000Second Step: Find the discount price
$24, 000 × (1 - 10%) = $21, 600Hope this helps!! :)
Please let me know if you have any questions
Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntesis espacio y espacio abrir paréntesis 0 coma espacio raíz cuadrada de 28 cerrar paréntesis espacio ,eje conjugado = 2 raíz cuadrada de 3
Answer:
[tex]\frac{y^{2}}{25}-\frac{x^{2}}{3}=1[/tex]
Step-by-step explanation:
Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:
centro: (0,0)
focos: [tex](0,-\sqrt{28}),(0,\sqrt{28})[/tex]
eje conjugado = [tex]2\sqrt{3}[/tex]
por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:
[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]
de los focos podemos obtener que:
[tex]c=\sqrt{28}[/tex]
y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:
[tex]b=\sqrt{3}[/tex]
podemos utilizar la siguiente fórmula para obtener a:
[tex]c^{2}-a^{2}=b^{2}[/tex]
si despejamos a en la ecuación obtenemos lo siguiente:
[tex]a=\sqrt{c^{2}-b^{2}}[/tex]
ahora podemos sustituir los valores:
[tex]a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}[/tex]
[tex]a=\sqrt{28-3}[/tex]
[tex]a=\sqrt{25}[/tex]
a=5
así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:
[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]
[tex]\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1[/tex]
[tex]\frac{y^{2}}{25}+\frac{x^{2}}{3}=1[/tex]
si graficamos la hipérbola, queda como en el documento adjunto.
It is a good idea to check your solutions when using the quadratic formula?
Answer: Since the square root of a negative number is not a real number, then a negative radical will result in no real solution.
Step-by-step explanation:
Aplica el método de eliminación Gaussiana
Hello,
Here are the solution in excel files
par la méthode de Gauss
I NEED HELP WITH THIS PLEASE!!!!!
Answer:
nt ooooo
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Step-by-step explanation:
What additional Information needed to prove the triangles are congruent by the SAS Postulate? Angle XWY cong angle ZWY; angle YXW cong angle YZW; overline WY cong overline XZ; overline WY perp overline XZ
Answer:
WX = WZ
Step-by-step explanation:
Given
See attachment for triangles
Required
Additional information to prove the congruence of the triangles
Congruence by SAS means 1 angle and 2 sides of each triangles are equal.
The mark on angle W means that <XWY = <ZWY--- This represent the A in SAS
Both triangles share line WY.
So, WY = WY
Lastly, to complete the proof, lines WX must equal line WZ
Which situation does the graph illustrate?
Answer:
eju 48, 23w6yuw43wdgn
Step-by-step explanation:
If m angle ABF = (6x + 26)°, m angle EBF = (2x - 9)° , and m angle ABE = (11x - 31)° , find M angle ABF.
Answer:
122
Step-by-step explanation:
Angle ABE = angle ABF + EBF
11x - 31 = 6x + 26 + 2x - 9 add like terms
11x - 31 = 8x + 17 transfer like terms to the same side of the equation
11x - 8x = 17 + 31 add/subtract like terms
3x = 48 divide both sides by 3
x = 16 now replace x with 16 in the equation
16*6+26 = 122
xét tính chẵn lẻ của hàm số : y = tanx + cotx
Answer:
Step-by-step explanation:
Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the given functions, where x is the number of months that each person has owned the phone. Tonya's Phone Leo's Phone f(x) =490(0.88)x x g(x) 0 480 2 360 4 270 phone has the greater initial trade-in value. During the first four months, the trade-in value of Tonya's phone decreases at an average rate the trade-in value of Leo's phone.
Answer:
The answer is Tonya's phone had the greater initial trade-in value.
Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.
Step-by-step explanation:
Given
Tonya
[tex]f(x) = 490 * 0.88^x[/tex]
Leo
[tex]x \to g(x)[/tex]
[tex]0 \to 480[/tex]
[tex]2 \to 360[/tex]
[tex]4 \to 470[/tex]
Solving (a): The phone with greater initial value
The initial value is when x = 0. So, we have:
[tex]f(x) = 490 * 0.88^x[/tex]
[tex]f(0) = 490 * 0.88^0[/tex]
[tex]f(0) = 490 * 1[/tex]
[tex]f(0) = 490[/tex]
From Leo's table
[tex]g(0) = 480[/tex]
By comparison;
[tex]f(0) > g(0)[/tex]
i.e.
[tex]490 > 480[/tex]
So: Tonya's had the greater initial trade-in value
Solving (b): The phone with lesser rate
An exponential function is:
[tex]y = ab^x[/tex]
Where:
[tex]b \to rate[/tex]
For Tonya
[tex]b = 0.88[/tex]
For Leo, we have:
[tex](x_1,y_1) = (0,480)[/tex]
[tex](x_2,y_2) = (2,360)[/tex]
So, the equation becomes:
[tex]y = ab^x[/tex]
[tex]480 = ab^0[/tex] and [tex]360 = ab^2[/tex]
Solving [tex]480 = ab^0[/tex], we have:
[tex]480 = a * 1[/tex]
[tex]480 = a[/tex]
[tex]a= 480[/tex]
[tex]360 = ab^2[/tex] becomes
[tex]360 = 480 * b^2[/tex]
Divide both sides by 480
[tex]0.75 = b^2[/tex]
Take square roots
[tex]0.87 = b[/tex]
[tex]b=0.87[/tex] -- Leo's rate
By comparison; Leo's rate is slower i.e. 0.87 < 0.88
Help me please for this question im heavily confused.
Answer:
a)
Let x = number of candy bars sold
Let y = amount of money earned
b)
y = 0.75x
c)
He should work at the car wash.
Step-by-step explanation:
a)
Let x = number of candy bars sold
Let y = amount of money earned
b)
$42.75/57 = $0.75
Each candy bar costs $0.75
We can confirm that by dividing $38.25/51 = $0.75
1 candy bar sells for $0.75
2 candy bars sell for $0.75 * 2
x candy bars sell for 0.75 * x, or simply 0.75x
The equation is y = 0.75x
c)
y = 0.75x
y = 0.75 * 36
y = 27
Larry raised $27 by selling candy bars last year. This year, he can earn more than that by working at the car wash.
He should work at the car wash.
Sonia received a statement on her Certificate of Deposit showing that her investment had returned $4,320 over its life. If the Certificate of Deposit pays a simple interest rate of 4.8% and her initial investment was $12,000, how long had the money been invested?
Answer:
The correct answer is -7.5 years.
Step-by-step explanation:
Given:
Principle amount = 12000
Interest = 4320
time = ?
rate = 4.8 simple interest
Solution:
We know that simple Interest I = (P*t*r)/100
then t = I*100/p*r
putting values in formula:
t = 4320*100/4.8*12000
= 432000/57,600
= 7.5 years
The initial population of a town is 4200, and it grows with a doubling time of 10 years. What will the population be in 8 years?
Answer:
The population in 8 years will be of 7313.
Step-by-step explanation:
Population of a town:
The population of a town, after t years, with a doubling time of n years, is given by:
[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]
The initial population of a town is 4200, and it grows with a doubling time of 10 years.
This means that [tex]P(0) = 4200, n = 10[/tex]
So
[tex]P(t) = 4200(2)^{\frac{t}{10}}[/tex]
What will the population be in 8 years?
This is P(8). So
[tex]P(8) = 4200(2)^{\frac{8}{10}} = 4200(2)^{0.8} = 7313[/tex]
The population in 8 years will be of 7313.
What is the slope of a segment whose endpoints are labeled (-2a, 0) and (0, -2b)?
Answer:
Step-by-step explanation:
use the slope formula Faith,
point P1 (-2a,0) in the form (x1,y1)
point P2(0,-2b) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-2b - 0 ) / (0-(-2a))
m = -2b / 2a
m = - b/a
they are trying to confuse you with the "a" and "b" variables in the problem, but just use the rules you know to solve what you can :)
Tìm X
3x2-3x×(x-2)-12=0
Answer:
[tex]3x^2-3x\left(x-2\right)-12=0[/tex]
[tex]3x^2-3x\left(x-2\right)-12+12=0+12 \longleftarrow (\mathrm{Add\:}12\mathrm{\:to\:both\:sides})[/tex]
[tex]3x^2-3x\left(x-2\right)=12[/tex]
[tex]-3x\left(x-2\right)=-3xx-\left(-3x\right)\cdot \:2[/tex]
[tex]=-3xx+3\cdot \:2x[/tex]
[tex]-3xx+3x^{2}[/tex]
[tex]=3x^{1+1}[/tex]
[tex]=3x^2[/tex]
[tex]3\cdot \:2x=6x[/tex]
[tex]=-3x^2+6x[/tex]
[tex]3x^2-3x^2+6x=12\Longleftarrow Add\:similar\:elements[/tex]
[tex]6x=12[/tex]
[tex]\frac{6x}{6}=\frac{12}{6} \Longleftarrow Divide[/tex]
[tex]x=2[/tex]
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As displayed on a production possibilities curve, what will an increase in technology allow a society to do? a. Produce more, as long as the resources are also available. c. It will not affect society’s production. b. Produce less, because more resources are spent on developing technology. d. The society will spend more on the same level of production. Please select the best answer from the choices provided A
Answer:
a. Produce more, as long as the resources are also available
Step-by-step explanation:
from brainly itself
scouteo
Ace
The correct answer is A) produce more, as long as the resources are also available.
As displayed on a production possibilities curve, an increase in technology will allow a society to produce more, as long as the resources are also available.
A production possibilities graph is a valid representation of the available ways an economy is able to use the resources. In this case, an increase in technology will allow a society to produce more, as long as the resources are also available means that as long there are enough resources in the market, technology in a country helps with the production of more things to be consumed or traded.
In a city of 26,000 population 5000 read English news paper, 12000 read Nepali La News paper and 1000 read both of these. What percent read neither English nor Ne newspaper.
Answer:
38.46%
Step-by-step explanation:
We are given;
Total population; n(S) = 26000
Number that read English news paper; n(E) = 5000
Number of people that read nepali; n(N) = 12000
Number that read both English and nepali; n(E n N) = 1000
Thus from probability laws, number that read either English or nepali is;
n(E u N) = n(N) + n(E) - n(N n E)
n(E u N) = 12000 + 5000 - 1000 = 16000
Thus;
number that read neither English nor nepali is;
n(E' u N') = n(S) - n(E u N)
n(E' u N') = 26000 - 16000 = 10000
Thus, the percentage is;
10000/26000 × 100% = 38.46%
Help me pleasee anyone
If 81y^2-k=9y^2-(1/2)^2 what is the value of k
Answer:
k = 1/4
Step-by-step explanation:
81y² - k = (9y)² - (1/2)²
(9y)² - k = (9y)² - (1/2)²
k = (1/2)² = 1/4
the longest side of a triangle is 80cm more than the second and 130cm more than the shortest side and its perimeter is 540cm. find its area
help help
Answer:
Area of triangle1/2b*h Now you can do
The area of the triangle is 9000 square centimeters
How to determine the area?Let the sides in order of length be represented as:
x, y and z.
So, we have:
z = 80 + y
z = 130 + x
P = 540
The perimeter is calculated as:
P = x + y + z
So, we have:
x + y + z =540
Substitute z = 130 + x
x + y + 130 + x =540
Evaluate the like terms
2x + y = 410
Substitute z = 130 + x in z = 80 + y
130 + x = 80 + y
Evaluate the like terms
x - y = -50
So, we have:
2x + y = 410
x - y = -50
Add both equations
3x = 360
Divide by 3
x = 120
Substitute x = 120 in z = 130 + x
z = 130 + 120
z = 250
Substitute z = 250 in z = 80 + y
250 = 80 + y
y = 170
So, we have:
x = 120
y = 170
z = 250
The area is then calculated as:
[tex]Area = \sqrt{s * (s -x) *(s - y) * (s -z)[/tex]
Where
s = P/2 = 540/2
s = 270
So, we have:
[tex]Area = \sqrt{270 * (270 -120) *(270 - 170) * (270 -250)[/tex]
Evaluate
Area = 9000
Hence, the area of the triangle is 9000 square centimeters
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What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1, -4) and D(-5, -4)?
Answer: 12 units²
Step-by-step explanation:
To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.
A=4×3=12 units²
Now, we know the area is 12 units².
How do you solve this? I’m stuck
how to find range from a distribution table.
Answer:
Range = highest value - lowest value
Explanation:
This is the required formula to find range from a distribution table.
find the area of this shape
Please help me asap
Answer:
(1/2×6×8)+(π×4^2/2)
=49.12 ft^2
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Hope it helps..
Have a great day!!!
Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry
Help Please!!!
Find the volume of the sphere
Answer:
523.6
Step-by-step explanation:
Not sure how to explain •-•
Hope it helps c:
Answer: use formula pi r^3
3.14 × 5 x 5 x 5 x 4 ÷ 3
Step-by-step explanation:
Which function is represented by the graph
Answer: A
Screenshot of calculator
In trapezoid WXYZ, m∠ZYX=107°. Identify m∠ZWX.
Answer:
73 degrees.
Step-by-step explanation:
the inward angle at W is the outward angle at Y and therefore the complement of 107 degrees to 180.
180 - 107 = 73 degrees.
The measure of angle ZWX is 73 degrees.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
We are given that the trapezoid WXYZ, m∠ZYX=107°.
We have been given an image of a trapezoid and we are asked to find the measure of angle ZWX .
We can see from our trapezoid that angle XYZ and angle WZY measures 90 degrees.
Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals
m∠ZYX + m∠ZWX = 180
m∠ZWX = 180 - 107
m∠ZWX = 73 degrees.
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SOMEONE PLEASE HELP!!!!!!!!!!!!!
Answer:
x = 25.2
Step-by-step explanation:
[tex]\frac{5}{18} =\frac{7}{x}[/tex]
5x = 126
x = 25.2
Which statement is not correct?
options b is not correct
Answer:
B is right option
Step-by-step explanation
A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees.
