Find the value of x.

Answer:

[tex]\frac{x^2}{12}-\frac{y^2}{4}=1[/tex]

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

Formula for hyperbola with horizontal transverse axis centered at origin

Since we are given our directrices of [tex]x=\pm3[/tex] and foci of [tex](\pm4,0)[/tex], then we can set up the directrices equation to solve for [tex]a^2[/tex]:

[tex]x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2[/tex]

Now we can determine [tex]b^2[/tex] to complete our equation for the hyperbola:

[tex]a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4[/tex]

Therefore, our equation for our hyperbola is [tex]\frac{x^2}{12}-\frac{y^2}{4}=1[/tex]

Answer:

A. -0.8x + 4.8y + 16

Step-by-step explanation:

Solved using distributive property

Let's find out

[tex]\\ \tt\Rrightarrow 4(0.5x+2.5y-0.7x-1.3y+4)[/tex]

[tex]\\ \tt\Rrightarrow 4(-0.2x+1.2y+4)[/tex]

[tex]\\ \tt\Rrightarrow -0.8x+4.8y+16[/tex]

Option A

Answer:

4 is the coefficient of x

Answer: all potential energy and no kinetic energy

Step-by-step explanation:

Answer:

x = 13°

Step-by-step explanation:

The left base angle of the triangle with x as the vertex is vertically opposite 85° and are congruent.

left base angle = 85°

the angle below the right base in the triangle is corresponding to 98° and are congruent.

right base angle = 180° - 98° = 82° ( adjacent angles on a straight line ) , then

x = 180° - (85 + 82)° = 180° - 167° = 13° ( sum of angles in a triangle )

Step-by-step explanation:

5a- rounding to nearest 10th 9.683 = 9.7

rounding to nearest 10th 9.572 = 9.6 both times are not same so false

5b rounding to near est whole no

9.683 and 9.572 become 10. both are same. true.

5c he is faster in 2009 true

Answer:

C

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

60.96

Step-by-step explanation:

127 times 0.48

The equation of the line that is parallel to the given line and passes through the point (2, 3) is,

[tex]x+2y=8[/tex]

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

Given information-

The points through which the line passes is (2, 3).

The points of the line shown in the image attached below is (-4, 0) and (4, -4).

The slope of the line shown in the image which passes through the point (-4, 0) and (4, -4) is,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{-4-0}{4-(-4)}\\m=\dfrac{-4}{8}\\m=\dfrac{-1}{2}[/tex]

As the line which passes through the point (2, 3) is parallel to the line shown below. Hence, the slope of it must be equal to that line.

Therefore the equation of the line which passes through the point (2, 3) and has a slope of -1/2, is,

[tex](y-y_1)=m(x-x_1)\\(y-3)=-\dfrac{1}{2}(x-2)\\2(y-3)=-x+2\\2y-6=-x+2\\x+2y=8[/tex]

Thus the equation of the line that is parallel to the given line and passes through the point (2, 3) is,

[tex]x+2y=8[/tex]

Hence, the option 2 is the correct option.

Learn more about the equation of line here;

https://brainly.com/question/13763238

Answer:

y = –4

Step-by-step explanation:

Based on given conditions,

[tex]a²b + 3 ab - (-5 a²b - 9 ab) [/tex]

[tex]→a²b + 3 ab + 5 a²b + 9 ab[/tex]

[tex]→(a²b + 5 a²b) + (3ab + 9 ab[/tex]

Now collecting the coefficients and adding them,

[tex](1 + 5)a²b + (3 + 9)ab[/tex]

[tex]→6 {a}^{2}b + 12ab[/tex]

Hence, the 6a²b + 12ab should be added.

Answer: The answer is BC=6 and EF=3

Step-by-step explanation: because BC =6 and EF=3 which will be 6/3 =2/1. so divide 6 by 3 to get 2 then anything divided by one gives itself 2=2. Then compare 2 and 2.

Answer:

15

Step-by-step explanation:

24/8=3

16/8=2

24/16=3/2

3/2*10=15

I hate IXL

Answer:

512

Solution:

so first you multiply 15 times 32 and get 480 than you add 32 and get 512.

Answer:

-1

Step-by-step explanation:

so -x-6 and x-4 are both = to y so that means they are both = to each

other so -x-6=x-4 add x to both sides -6=2x-4 add 4 to both sides 2x = -2 simplify by divide by 2 so x=-1

Answer:

Take the second equation and add 4 to both sides, this gives you x=y+4. The plug in y+4 on the first equation, so y=-(y+4)-6, distribute the negative to everything inside the parentheses, and you get y=-y-4-6. Combine like terms and you get y=-y-10, then add y to both sides, you get 2y=-10, divide both sides by 2 and you get y=-5.

Then plug -5 into the second equation and you get -5=x-4, add 4 to both sides and you get -1=x.

If you want to check your answer, just plug in x and y to either of the equations and see if it makes a true statement.

Answer:

Simplifying the same denominators first:

16/5 - 13/5 = 3/5

So, we're brought down to:

3/5 + 30/7 + 3/2

35 goes into 5 and 7, so I'll simply 3/5 + 30/7 next -

7 x (3/5) to get 21/35

5 x (30/7) to get 150/35

Now add the two to get 171/35

(150+21=171)

Finally find a common denominator for 35 and 2.

(35x2=70)

2 x (171/35) --> 342/70

35 x (3/2) -->  105/70

Add up 342+105 to get 447 & put over 70.

Answer is 447/70

(It can't be simplified any further than this.)

Hope this helps!

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1

Answer:

110

Step-by-step explanation:

Use the pythagorean theorem (a^2 + b^2 = c^2) to solve it. 66 is a and 88 is b. The distance between them is c.

Answer:

1/2 m

Step-by-step explanation:

It is because 4 = 4/1, 8 = 8/1 and 4/1 divided by 8/1 is also equal to 4/1 times by 1/8 which equals 4/8.

4/8 is simplified to make 1/2m

hope this helps mark brainliest

Answer:

2.94

Step-by-step explanation:

In the picture below

Answer:

[tex]x = 28 {}^{o} [/tex]

Step-by-step explanation:

hopefully this helps you

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Answer: 28 degrees D

Step-by-step explanation: The whole angle is 90 and the other angle (not x) is 62 so 90 minus 62 is 28

Answer:

  -43

Step-by-step explanation:

The additive inverse of 43 is its opposite, -43.

The sum of a number and its additive inverse is the additive identity element:

  43 + (-43) = 0

Answer:

Area of the  figure = 64 cm²

Step-by-step explanation:

To find the total surface area (TSA) of the figure, we must add the areas of the 4 triangles along with the area of the square.

Given,

By using these values,

Now,

So, from this,

•°• The TSA of the figure is 64 cm².

_________________________

Hope it helps!

[tex]\mathfrak{Lucazz}[/tex]

Answer:It is the product of the initial population and the growth factor after h hours.

Step-by-step explanation:

this for ttm/im

Step-by-step explanation:

sum of two interior angles is equal one exterior angle....this implies that,

6x + 15x-12 = 19x+2.....make X the subject

6x+15x-19x = 2+12

2x = 14..... divide both sides by 2

x = 7

this implies that, 19x + 2 where x is 7,

= 19(7) +2

=135°

therefore,<MNI = 135°

The angle MNI is 135 degree.

An angle is the figure formed when two rays cross at a common endpoint, according to the definition of angles.

The name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is remote Interior Angle.

Sum of two interior angles is equal one exterior angle.

Here:

(6 x) + (15 x-12) = (19 x+2)

6 x + 15 x - 19 x = 2 + 12

6 x - 4 x = 14

2 x = 14, x =7

Putting the value of x in (19 x + 2).

19 * 7 + 2 = 133 + 2 = 135.

Therefore, the value of 19 x + 2 is 135 degree.

Learn more about angle here:

https://brainly.com/question/30341390

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Answer:

iron- 9.28 * 10-23

silver- 1.79 * 10-22

gold- 3.27 * 10-22

platinum- 3.25 * 10-22

uranium- 3.95 * 10-22

water- 2.99 * 10^-23

Answer:

No

Step-by-step explanation:

If (x - 3) is a factor then x = 3 is a root and the polynomial will equal zero for x = 3 , that is

3³ - 3(3)² + 2(3) + 2

= 27 - 3(9) + 6 + 2

= 27 - 27 + 8

= 8

since the polynomial ≠ 0 for x = 3 then (x - 3) is not a factor

Answer:

17400y2S-4w

Step-by-step explanation: