Answer:
Foci [tex](0,\pm\frac{\sqrt{17}}{4})[/tex]
Vertices:[tex](0,\pm 1)[/tex]
Eccentricity, e=[tex]\frac{\sqrt{17}}{4}[/tex]
Length of latus rectum=[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
We are given that
[tex]y^2-16x^2=1[/tex]
[tex]y^2-\frac{x^2}{(\frac{1}{4})^2}=1[/tex]
The equation of hyperbola is along y-axis because y is positive
Compare the equation with
[tex]y^2/a^2-x^2/b^2=1[/tex] (Along y-axis)
We get
a=1, b=1/4
[tex]a^2+b^2=c^2[/tex]
[tex]1+\frac{1}{16}=c^2[/tex]
[tex]\frac{16+1}{16}=c^2[/tex]
[tex]c^2=\frac{17}{16}[/tex]
[tex]c=\pm \frac{\sqrt{17}}{4}[/tex]
Therefore,
The coordinates of foci=[tex](0,\pm c)=(0,\pm\frac{\sqrt{17}}{4})[/tex]
The coordinated of vertices=[tex](0,\pm a)=(0,\pm 1)[/tex]
Eccentricity, e=c/a
[tex]e=\frac{\frac{\sqrt{17}}{4}}{1}=\frac{\sqrt{17}}{4}[/tex]
Length of latus rectum=[tex]\frac{2b^2}{a}[/tex]
Length of latus rectum=[tex]2\times \frac{1}{16}=\frac{1}{8}[/tex]
help me please I really need it.
Thank you
Answer:
D
Step-by-step explanation:
Answer:
D is ur answer
Step-by-step explanation:
Bye
what is the answer to 3x + 4y - 2g + s
there isn't an answer since all the letters are different and you can't add or subtract or do anything to uncommon values. 3x+x = 4x but u can't do 3x +y because they're not in common
Calculate the scale factor for the original triangle and its
larger image. Show your working out.
Answer:
2
Step-by-step explanation:
8/4=2
have a good day..
Use special right triangles to solve for all the variables. Leave your answers in simplest radical form.
Answer:
Step-by-step explanation:
x=5[tex]\sqrt{2}[/tex] because it is an isosceles right triangle , as we have and angle of 45 and one of 90
y is the hypothenuse of the triangle
y^2=(5[tex]\sqrt{2}[/tex])^2+(5[tex]\sqrt{2}[/tex])^2=50+50=100
y=10
the larger triangle is 30-60-90
side opposite of 90 degrees is 2y
r=20
side opposite of 60 degrees is y[tex]\sqrt{3}[/tex]
z=10[tex]\sqrt{3}[/tex]
Pablo swims 1 length of a swimming pool. What unit would be best for measuring that length of the pool?
Answer:
kiloliters
Step-by-step explanation:
The amount of water a family uses in a year is a large amount of water - more than the amount of water in a pool! This means kiloliters would be the best unit of measurement.
Write the equation of the parabola that has the vertex at point (-2, -2) and passes through the point (-1, -1)
Answer:
y = (x+2)²-2
Step-by-step explanation:
Use the vertex form y = a(x-h)²+k. Plug in the vertex for h and k. Solve for a and you will get 1 for that value. You can check your answers by plugging in both of those points to make sure.
Write the equation of the line in slope-intercept form that passes through the points (-3,3) and (3,-9).
Answer:
m = -2
Step-by-step explanation:
y = -2x - 3
Only for (a) please!
Answer:
Efx=2300 may be it would help : )
Step-by-step explanation:
To find that u have to :
mass mid value(x) Number..(f) fx
10-29 19 32 608
30-39 9 38 342
40-49 9 64 576
50-59 9 35 315
60-69 9 22 198
70-99 29 9 . 261
Efx=2300
MARKING BRAINLIEST!!
Answer:
6a and a(2*3) and 2(a+2a)
Step-by-step explanation:
2*3a=6a
Here is a rectangle all measurement are in centimetres the area is 48cm^2 find the value of y
Answer:
y = 3 cm
Step-by-step explanation:
We'll begin by calculating the value of x. This can be obtained as follow:
2x + 6 = 5x – 9 (opposite side of rectangle are equal)
2x + 6 = 5x – 9
Collect like terms
6 + 9 = 5x – 2x
15 = 3x
Divide both side by 3
x = 15 / 3
x = 5 cm
Next, we shall determine the length of the rectangle. This can be obtained as follow:
L = 2x + 6
x = 5 cm
L = 2(5) + 6
L = 10 + 6
L = 16 cm
Finally, we shall determine the value of y. This can be obtained as follow:
Length (L) = 16 cm
Width (W) = y =?
Area (A) = 48 cm²
A = L × W
48 = 16 × y
Divide both side by 16
y = 48 / 16
y = 3 cm
Una empresa fabrica dos modelos de DVD: el modelo A y el modelo B. Se dispone de 50 kilogramos de caucho y de 80 horas de mano de obra. Para fabricar un DVD del modelo A se utiliza 1 kilogramo de caucho y 1 horas de trabajo, y para fabricar un DVD del modelo B se utiliza 1 kilogramo de caucho y 2 hora de trabajo. Si la venta le genera una utilidad 30 soles por cada modelo A y 40 soles por cada modelo B. ¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?
Answer:
¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?
Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800
Step-by-step explanation:
x : Número de DVD del modelo A
y : Número de DVD del modelo B.
MODELO A MODELO B TOTAL
Cantidad de caucho 1x 1x 50 kg.
Horas de mano de obra 1x 2x 80 horas
U : Utilidad mensual.
La función objetivo, que se debe maximizar, es:
U=30 + 40y
x+ y [tex]\leq 50\\[/tex]
x + 2y [tex]\leq 80[/tex]
x[tex]\geq 0[/tex]
y[tex]\geq 0[/tex]
Las coordenadas de los vértices de la región factibles son:
A (0, 0) B (50, 0) C (20, 30) D(0, 40)
Entonces, se evalúa la función objetivo en cada punto:
U (0, 0) = 30 (0) + 40 (0) = 0
U (50, 0) = 30 (50) + 40(0) = 1500
U (90, 0) = 30 (20) + 40 (30) = 1800
U (0, 40) = 30 (0) + 40 (40) =1600
Por consiguiente U tiene un valor máximo en C , en donde: x =20 , y = 30 .
Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800.
30 x 40 y
s.a.
x 0 (3)
y 0 (4)
Maderas mayor is watching a car from the ledge of the water tower. The car is directly approaching the water tower. When first noticed, the angle of depression to the car is 58 degrees. When the car stops the angle of depression is 77 degrees. The mayors line of sight is 127 feet above the ground.
Answer:
50 ft
Step-by-step explanation:
What should be the answer for 3 multiplied by x? If x is 9.
Answer:
27
Step-by-step explanation:
x = 9
3 x 9 = 27
Simplify the following expressions:
1/4 (24x + 8)
3/5 (10y - 5)
4m + 8p - 5m + 2p
6 ( j - 5) + 2 (3j + 5)
5 ( 3y + 2) - 4 ( y - 1)
Answer:
6x+2
6y+3
9+10
36+40
19+14
Sorry if this is wrong I recently learned this
Decide if the following statement is valid or invalid.
If I go to the park, then I will play baseball. If I play baseball, I will need a glove. I will go to the park tomorrow, I will need a glove.
Valid or Invalid ?
Answer:
valid
Step-by-step explanation:
hi could you please tell me the answer to this?
Answer:
5
Step-by-step explanation:
5
find the length of x in simplest radical form with a rational denominator
Answer:
√3Step-by-step explanation:
[tex]\cos(30^o)=\dfrac{\sqrt3}2[/tex]
From triangle: [tex]\cos(30^o)=\dfrac x2[/tex]
Therefore:
[tex]\dfrac x2=\dfrac{\sqrt3}{2}\\\\x=\sqrt3[/tex]
1.Solve the equation
a - 6 = 13
Answer:
19
Step-by-step explanation:
Given
a - 6 = 13
a = 13 + 6
a = 19
Hope it will help :)
Find the measure of the missing side of the triangle.
Answer:
65
Step-by-step explanation:
Using Pythagorean we can say = 33^2 + 56^2 = hypotenus^2
so 1089 + 3136 = 4225
and 4225 rooted = 65
Answer:
65.
You would have to use the Pythagorean theorem in order to find the Hypotenuse (Side that is missing)
Step-by-step explanation:
The equation is:
C = a^2 + b^2 - square root of the answer.
So it would be set up like this.
56^2 = 3136
33^2 = 1089
1089 + 3136 = 4225.
The square root of 4225 is 65.
Thus, 65 is the answer.
Hope this helps!
HELP!! WILL GIVE 100 POINTS
Complete the following statement.
In 2/3 ÷ 4/5 the___ is 2/3
dividend
quotient
divisor
Answer:
2/3 is quotient.
Step-by-step explanation:
2/3÷4/5=(2×5)/(3×4)=10/12=5/6
Answer:
quotient
Step-by-step explanation:
If it is a divison problem your answer will be a quotient.
h + 6.3 = −6.3 solve for h
Answer:
0
Step-by-step explanation:
Hi there!
Let think about this...
-6.3-6.3=h
h+6.3=-6.3
negative plus positive is negative...
h=negative number..
6.3+6.3=12.6 add a negative point=-12.6
Final Result: -12.6
Help me plzz so I don’t fail
Answer:
A
Step-by-step explanation:
(-2,5)
read the X axis and then y axis
5,349 divided by 21????????
Answer: 254.714285714 or rounded to 255
Step-by-step explanation:
Have a good day:)
Answer:
254.71
Explanation:
5349 / 21 = 254.71
Blue whales have an estimated weight of 3.6 x 104 pounds. James
weighs approximately 1.8 x 102 pounds. How many people who weigh the
same as James would it take to equal the weight of the blue whale?
Explain how to solve for x. 3x - 10 = 2 *
Your answer:
Answer:
x = 4
Step-by-step explanation:
3x - 10 = 2 | Given
3x = 12 | Add 10 to both sides to isolate 3x
x = 4 | Divide both sides by 3 to get the value of x
Answer:
4
Step-by-step explanation:
3x - 10 = 2
add
3x = 12
divide
x = 4
What is the equation of the line that passes through (4, -1) and (-2, 3)?
Answer:
3--1/-2-4=4/-6=2/-3
y=-2/3x+b
-2*-2/3=4/3
3-4/3=5/3
y=-2/3x+5/3
Step-by-step explanation:
Answer:
[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
We want to find the equation of the line that passes through the two points:
(4, -1) and (-2, 3).
First, we will find the slope of the two points. So:
[tex]\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}[/tex]
Now, we will use the point-slope form given by:
[tex]y-y_1=m(x-x_1)[/tex]
Use either point. I'm going to use (4, -1). So, substitute:
[tex]\displaystyle y-(-1)=-\frac{2}{3}(x-(4))[/tex]
Simplify and distribute:
[tex]\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}[/tex]
Subtract 1 from both sides. Therefore:
[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]
THIS IS HRW CAN YOU TRY TO HELP!!
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
It's answer is
y = 4x - 6
if x = - 1 Then
y = 4 * (- 4 ) - 6 = - 10
if x = 0
y = 4 * 0 - 6 = - 6
if x = 1
y = 4 * 1 - 6 = - 2
if x = 2
y = 4 * 2 - 6 = 2
hope it will help :)❤
HELP ME PLSSSSSS ASAP
Answer:
the answer is 200 mph because you take and divide the 400 miles by 20 mph
Step-by-step explanation:
solve 3p+2c is greater or equal to 120 and graph the solution
Answer:
equal to 120
3p+2c is equal to 120 and graph the solution.
Use the FOIL Method to find (x−4)(x+8).
Answer:
[tex]x^2 +4x - 32[/tex]
Step-by-step explanation:
By FOIL method, [tex](x-4)(x+8) = x \cdot x + x \cdot 8 + -4 \cdot x + -4 \cdot 8 = x^2 +4x - 32.[/tex]