Find the percent error in this situation:
Estimated value: 56
Actual value: 43
23.2%
0.302%
30.2%
0.232%

The required equation of the hyperbola is expressed as

[tex]\frac{x^2}{10}- \frac{y^2}{15}=1 \\[/tex]

The standard form for calculating the equation of a parabola along the x-axis is expressed as:

[tex]\frac{(x-k)^2}{a^2}-\frac{(y-h)^2}{b^2} = 1 \ ............. 1[/tex] where:

(h, k) is the center

(k±c, h) are the foci

[tex]x=h\pm\frac{a^2}{c}[/tex] is the directrix

From the question given, we can see that foci = (±5, 0)

k±c, h = ±5, 0

k = 0

h = 0

c = 5

From the directrix,

[tex]x=h\pm\frac{a^2}{c}\\x =0\pm\frac{a^2}{5}\\\pm2 = \pm\frac{a^2}{5}\\a^2 = 10\\[/tex]

Also, we need to know that;

a²+b² = c²

10 + b² = 5²

b² = 25 - 10

b² = 15

Substituting the gotten values into the equation of a hyperbola;

[tex]\frac{(x-0)^2}{10}- \frac{(y-0)^2}{15} =1\\\frac{x^2}{10}- \frac{y^2}{15} =1\\[/tex]

This gives the required equation of the hyperbola

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Answer:

The answers are between C and D

Step-by-step explanation:

It can't be A or B because they create a horizontal hyperbola, when the directrices are vertical.

Answer:

X=0

Y=4

Step-by-step explanation:

3x=12-3y

x=4-y

Plug 4-y in for x in the other equation:

2(4-y)+4y=16

8-2y+4y=16

2y=8

y=4

If x=4-y and y=4, x=4-4=0

Answer:

take 20 degree as reference angle

let hypotenuse be x

using cos rule

cos 20=adjacent/hypotenuse

0.93=7/x

0.93*x=7

x=7/0.93

x=7.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The hl theorem says that if we have two right triangles that have a congruent hypotenuse and a congruent leg, the two triangles are congruent

in this case the exercise says the two leg are congruent, so we have to say that the two hypotenuse are congruent

So

JB congruent to FC

Answer:

1/2

Step-by-step explanation:

Answer:

Average velocity = 1

Step-by-step explanation:

f(3) = 3² - 3(3) + 4 = 4

f(1) = 1² - 3(1) + 4 = 2

[tex]Velocity = \frac{f(3) - f(1)}{3-1} =\frac{4-2}{3-1} =\frac{2}{2} =1[/tex]

Answer:

354870

Step-by-step explanation:

35.487 × [tex]10^{4}[/tex]

35.487 × 10000

354870

Answer:

A. the control group in an experiment

Step-by-step explanation:

Researchers give one group a new cold medicine and compare them with to a group that takes no medicine. The group that is not given any medicine is the control group in an experiment.

Researchers are those who do research on something i.e. systematics and deep investigation into something.

Control Group is that group in research which does not take any medication or untreated group.

During the research while a new type of medicine is to be tested, the group that receives the medication or being tested is called the experimented group and the group that does not receive the treatment  is called the control group.

Hence, we can say that the group that is not given any medicine is the control group in an experiment.

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Answer:

No

Step-by-step explanation:

this is my opinion so No

Answer: D

Step-by-step explanation:

Plug in 0 for each variables in the equation and see which one holds true

Hope this helps

if i understand the question it's 25

Step-by-step explanation:

6/21 equal 10/10+x

info x is GJ

6x=150

x=25

i used the similarity in trangle formula because he sayed that FG is parelel to HJ

Answer:

AB = 7

Step-by-step explanation:

The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.

Perimeter = 6 x length of one side

If you plug everything you know in the equation, you would get...

42 = 6 x length of one side

42 ÷ 6 = 7

So, 7 is the length of AB, since in a hexagon, all sides are the same length.

The length of side AB  is 7.

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

The given polygon is a hexagon since it has 6 faces.

Now,

The six faces are equal in length.

So,

6 faces length = 42

Now,

Each face = x

And,

6x = 42

x = 42/6

x = 7

Thus,

The length of AB  is 7.

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Answer:

1.   5 in.

2.   12 in.

3.   3.5 in.

4.   30 ft

5.   4 m

6.   32 mm

7.   53.41 m

8.   18.85 ft

9.   87.96 in

10.  56.56 mm

11.   20.57 in

12.  25.71 yd

Step-by-step explanation:

Answer:

y = √61

Step-by-step explanation:

the steps are in the pic above, stay outta drugs and pass ur tests.

Answer:

65 degrees

Step-by-step explanation:

90 + 90 + 115 + x = 360

x= 65

Answer:

Step-by-step explanation:

Answer:

The answer should be 18.

Answer: y = (x+2)^2

Aka: B

Step-by-step explanation:

Did it on edge just now !

The equation y = (x + 2)² has a graph that is a parabola with a vertex at

(-2, 0).

Option B is the correct answer.

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x-h)^2 + k

We have,

The equation that has a graph that is a parabola with a vertex at (-2, 0) is

y = (x + 2)².

The general equation for a parabola is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Comparing this general equation to y = (x + 2)²,

We can see that h = -2 and k = 0, which means that the vertex of the parabola is (-2, 0).

Therefore,

The equation y = (x + 2)² has a graph that is a parabola with a vertex at

(-2, 0).

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Answer:

n = 8

Step-by-step explanation:

The angles are vertical angles and so they are equal

9n = 8n+8

Subtract 8n from each side

9n - 8n = 8n+8-8n

n = 8

Answer 8.1

Step-by-step explanation:

3 x 9 x 0.3 = 8.1

Answer:

38, 26

Step-by-step explanation:

(x+78) + (x-12) +x = 180

3x + 66 =180

3x = 114

x = 38

P = 38-12=26

Answer:

$49,057.50

Step-by-step explanation:

To find how much a percent is of a number you multiply that number and that percent then add the two

SO.... 46,500x5.5% is 2557.50 and then you add the 2 so 46,500 + 2557.50= 49,057.50 hope this helps

do u want us to draw it 4 u ? cuz I can

Answer:

Let the three consecutive numbers be x,x+1,x+2 . The numbers are: 23,24,and25 and the smallest one is 23

Step-by-step explanation:

Answer: (x-1) + (x) + (x+1) = 72; smallest number is 23.

Step-by-step explanation:

The numbers are consecutive, meaning they sit next to each other on a number line. For example 4, 5, 6.

Because they are three consecutive numbers, their average will be the value of the middle one. For example the average of 4, 5, 6 is 5.

Knowing this, we can divide 72 by three to get the value of the middle number.

72/3 = 24, so the middle number is 24.

The numbers that fall either side of 24 on the number line are 23 and 25, so the three consecutive numbers are 23, 24, 25.

You can also set up and solve the equation: (x-1) + (x) + (x+1) = 72 because the numbers are consecutive.

To solve, combine like terms. The (-1) and (+1) cancel out and the equation becomes 3x = 72.

72/3 = 24, so x = 24, and the smallest term, (x-1) = 23.

Answer:

[tex]y (y+2)+1(y+2)[/tex]

[tex](y +1)(y+2) = 0[/tex]