Answer:
20$ is the answer of your question
Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?
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
[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]Directrices -> [tex]x=\pm\frac{a^2}{c}[/tex]Foci -> [tex](\pm c,0)[/tex] where [tex]a^2+b^2=c^2[/tex][tex]a>b[/tex]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]
Solve for y
1160
S
15y - 4
w
Answer:
17400y2S-4w
Step-by-step explanation:
im very c0nfused help
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 )
simplify 16/5 +30/7+3/2-13/5
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!
In Newport, the library is 66 miles due south of the courthouse and 88 miles due west of the community swimming pool.
What is the distance between the courthouse and the community swimming pool?
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.
Daniel is playing on the swings at the playground. At the top of his swing, he will have _____.
neither potential nor kinetic energy
some potential energy and some kinetic energy
no potential energy and all kinetic energy
all potential energy and no kinetic energy
big points
Answer: all potential energy and no kinetic energy
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS NO BOTS PLEASE THANKS
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.
Plz help wit this
What is the value of x?
Answer:
x = 15
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )
x² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Answer:
I did this quickly, so please check the logic.
I find x = 15
Step-by-step explanation:
See attached image. Note that I've defined 3 triangles and their Pythagorean equations. I also define a third line, RQ, as z. Rearrange the equations and substitute in a way that allows elimination of all variables except x.
Find the mZMNI.
M
15x – 12
L
6x
12x+2
N I
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.
What is angle?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:
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what should be added to (-5 a2b - 9 ab) to get
a2b + 3 ab?
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.
How do I solve this using Substitution??
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.
please help with these 2 questions!! (9 and 10) please show with solution needed!!
What expression shows 4 less than a number
What is the equation of the line that passes through the point (-6, -7) and has a
slape of 0?
Answer:
y=0x-7 or y=-7
Step-by-step explanation:
Hi there!
We want to write the equation of the line that passes through the point (-6, -7), but that also has a slope of 0
There are many ways to write the equation of the line; one of the most common ways is to use slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope of this line, we can immediately plug it into the equation as m
So substitute 0 as m in the equation:
y=0*x+b
Multiply
y=0x+b
We can also rewrite it as y=b, but for right now, y=0x+b will be helpful for our calculations
We need to find b now.
As the equation passes through the point (-6, -7), we can use it to help solve for b
Substitute -6 as x and -7 as y:
-7=0(-6)+b
Multiply
-7=0+b
Simplify
-7=b
Substitute -7 as b into the equation.
y=0x-7, or y=-7
Hope this helps!
Take a look here for a similar problem for practice if you wish: https://brainly.com/question/25424204
3. Mr. James told Jill he would charge her $15 per hour, plus parts, to fix her bicycle.
The parts ended up costing $32, and
it took Mr. James 3 hours to fix the bike. Write
and evaluate an expression to determine how much Jill owes Mr. James.
Answer:
512
Solution:
so first you multiply 15 times 32 and get 480 than you add 32 and get 512.
What is the radius of this circle?
A) 3.14 inches
B) 5 inches
C) 10 inches
D) 20 inches
Answer:
C
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
A ribbon 4 m long is cut into 8 equal pieces.
What is the length of each piece?
Give your answer as a fraction in its simplest form.
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
What is the coefficient of 4
Answer:
4 is the coefficient of x
In the diagram, the circle is inscribed in triangle PQR. Find arc EF, FG, and GE.
Check the picture below.
In essence, the two triangles made by the radii and the twin tangent lines are congruent by SSS or even for right-triangles congruence by LL.
Applying the tangents theorem, the arc measures are:
Arc EG = 140°
Arc EF = 120°
Arc FG = 100°
What is the Tangents Theorem?The tangents theorem states that a tangent to a circle forms a right angle (90 degrees) at the point of tangency, and also, if two tangents meet at point outside a circle, both tangents are equal.
Using the tangent theorem, we would find the central angles opposite arc EF, FG, and GE which are all the same measure as their central angles.
Let the center of the circle be point O.
m∠EOG = 2[180 - m∠PEG + m∠EOP)] (central angle opposite to arc EG)
Substitute
m∠EOG = 2[180 - 90 + 1/2(40)]
m∠EOG = 140°
Arc EG = m∠EOG = 140°
Arc EG = 140°
m∠EOF= 2[180 - m∠QFO + m∠FQO)] (central angle opposite to arc EF)
Substitute
m∠EOF = 2[180 - 90 + 1/2(60)]
m∠EOF = 120°
Arc EF = m∠EOF = 120°
Arc EF = 120°
m∠FOG = 2[180 - m∠RFO + m∠FRO)] (central angle opposite to arc FG)
Substitute
m∠FOG = 2[180 - 90 + 1/2(80)]
m∠FOG = 100°
Arc FG = m∠FOG = 140°
Arc FG = 100°
Therefore, applying the tangents theorem, the arc measures are:
Arc EG = 140°
Arc EF = 120°
Arc FG = 100°
Learn more about tangents theorem on:
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Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1,000(1 0. 3)h finds the number of amoebas after h hours. Which statement about this expression is true?.
Answer:It is the product of the initial population and the growth factor after h hours.
Step-by-step explanation:
this for ttm/im
I need help
Which of the following is an irrational number?
PLS HELP ME PLS
In this activity, you will express mass in standard rotation and in scientific notation. Search the Internet to find the mass in grams for each atom
or molecule listed
Express the mass of the stars and molecules in both standard notation and scientific notation. If necessary, round the numbers so the first factor
goes only to the hundredths place
• one iron atom
• One water molecule
• one silver atom
• one gold atom
• one platinum atom
• One orarium atom
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
2. Pepper went to the movies and spent $13.83. How
much did she spend, rounded to the nearest whole
dollar?
$
Which is the most accurate way to estimate 48% of 127?
Answer:
60.96
Step-by-step explanation:
127 times 0.48
please help me find the total surface area
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,
Altitude of triangle (h) = 6 cmBase of triangle (b) = 4 cmSide of the square (h) = 4 cmBy using these values,
Area of the triangle = ½ bhArea of the triangle = ½ × 6 × 4Area of the triangle = ½ × 24Area of the triangle = 12 cm²Now,
Area of the square = s²Area of the square = 4²Area of the square = 16 cm²So, from this,
Area of the figure = (4 × Area of the triangle) + Area of the square Area of the figure = (4 × 12) + 16Area of the figure = (48) + 16Area of the figure = 64 cm²•°• The TSA of the figure is 64 cm².
_________________________
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
PLEASE! HELPPPPPPP!!!!!!!!
Answer:
15
Step-by-step explanation:
24/8=3
16/8=2
24/16=3/2
3/2*10=15
I hate IXL
Darrell bought 4 books about animals, 4 books about outer space, and 1 book about trains. Each book cost $13. How much did Darrell spend on the books
Please help me find the answer
Answer:
[tex]x = 28 {}^{o} [/tex]
Step-by-step explanation:
hopefully this helps you
please mark me as brainlist
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
Is (x-3) a factor of (x3 - 3x2 + 2x + 2)?
SHOW FULL WORK
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
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)? x 2y = 4 x 2y = 8 2x y = 4 2x y = 8.
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]
What is the equation of line?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;
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Answer:
y = –4
Step-by-step explanation: