Which graph represents the solution of x2 + 9y2 ≤ 81 and y2 + 2 < x? On a coordinate plane, an ellipse has center (0, 0) and goes through (3, 0), (0, negative 9), (negative 3, 0), and (0, 9). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and outside of the parabola is shaded. On a coordinate plane, an ellipse has center (0, 0) and goes through (3, 0), (0, negative 9), (negative 3, 0), and (0, 9). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and inside of the parabola is shaded. On a coordinate plane, an ellipse has center (0, 0) and goes through (9, 0), (0, negative 3), (negative 9, 0) and (0, 3). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and inside of the parabola is shaded. On a coordinate plane, an ellipse has center (0, 0) and goes through (9, 0), (0, negative 3), (negative 9, 0) and (0, 3). A parabola opens to the right and goes through (6, 2), has vertex (2, 0), and goes through (6, negative 2). Everything inside of the ellipse and outside of the parabola is shaded.
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9514 1404 393
Answer:
C
Step-by-step explanation:
The ellipse y-intercepts are ±3, the x-intercepts are ±9, eliminating choices A and B. The parabola is shaded inside, eliminating choice D.
The correct choice is the third one.
Related Questions
Find the area of the bolded outlined sector.
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Outlined sector:
2 πr x 225/360 +2r
=2x3.14x10 x 225/360 +20
=59.25 cm
Hope this helped!
Solve 3x-4>11 if the domain of x is {1,2,3,4,5,6,7,8}
Answers
Answer:
(6,7,8)
Step-by-step explanation:
solving the inequality will give x>5
Which of these products is negative? Select all that apply.
-8 ÷ (-3)
-2 ÷ 8
0 ÷ (-2)
15 ÷ (-5)
-8 ÷ (-9)
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Answer:
Positive/negative = negative
Negative/positive = negative
So -2 ÷ 8 and 15 ÷ (-5) are going to have negative quotients.
Let me know if this helps!
Find all complex numbers z such that z^4 = -4.
Note: All solutions should be expressed in the form a+bi, where a and b are real numbers.
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convert f(x) = 5x(x – 6) to standard form
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Answer:
[tex]5x^{2} - 30x[/tex]
Step-by-step explanation:
Geometry, please answer question ASAP
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Because,
Sum of interior angles of a pentagon = 540 degree
That is,
Angle A + angle B + angle C + angle D + angle E = 540 degree
87degree + 125 degree + 63 degree + 95 degree + angle D = 540 degree
So that gives angle D = 170 degree
Hope this helps.
ArmyCee:)
Answer:
m<D = 170°
Step-by-step explanation:
In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:
m<A + m<B + m<C + m<D + m<E = 540°
We are already given the measures of all the angles except D, so we can substitute them in:
87° + 125° + 63° + m<D + 95° = 540°
Now, we can simplify and solve for <D:
m<D + 370° = 540°
m<D = 170°
When a shape is dilated, the _________ of the lengths in the image to the corresponding lengths in the pre-image are equal to the scale factor.
A. ratios
B. lengths
C. scale factors
D. proportions
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plz help me on this
Answers
Carlos has chosen twelve different compact discs (CDs) he would like to buy. Four are rap music, five are country music, and three are heavy metal music. Carlos then randomly selects five of the 12 CDs to purchase. What is the probability that his purchase includes at least one CD from each of the three categories
Answers
Answer:
185/198
Step-by-step explanation:
Since the are 12 Cd and we require them to be selected in 5 ways, the number of selections is ¹²C₅ = 12 × 11 × 10 × 9 × 8/5! = 95040/120 = 792 ways
Since we have Four are rap music, five are country music, and three are heavy metal music, the number of ways to select them in groups of five so as to have at least one of each CD from each category, we have
For the first selection 3 of one category, and 1 each of the other categories.
The second selection is 2 each of two categories and 1 of the last category.
So, doing this for each category, we have
⁴C₃ × ⁵C₁ × ³C₁ + ⁴C₂ × ⁵C₂ × ³C₁ + ³C₃ × ⁴C₁ × ⁵C₁ + ³C₂ × ⁴C₂ × ⁵C₁ + ⁵C₃ × ⁴C₁ × ³C₁ + ⁵C₂ × ³C₂ × ⁴C₁
= (4 × 3 × 2/3! × 5 × 3) + (4 × 3/2! × 5 × 4/2! × 3) + (1 × 4 × 5) + (3 × 2/2! × 4 × 3/2! × 5) + (5 × 4 × 3/2! × 4 × 3) + (5 × 4/2! × 3 × 2/2! × 4)
= 360/6 + 720/4 + 20 + 360/4 + 720/2 + 120/4
= 60 + 180 + 20 + 90 + 360 + 30
= 740 ways
So, the required probability is P = number of ways of selecting at least one CD/ total number of ways = 740/792 = 185/198
The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?
Answers
Answer:
677
Step-by-step explanation:
the sequence is 1, 2, 5, 26, 677
the first term is 1
to find the 2nd term, do: [tex]1^{2} +1=2[/tex]
3rd: [tex]2^{2} +1=4+1=5[/tex]
4th: [tex]5^{2} +1 =25 +1=26[/tex]
5th: [tex]26^{2} +1=676+1=677[/tex]
hi pls help. pls explain a bit thank you:)
Answers
Answer:
[tex]a^3b^2c^6[/tex]
Step-by-step explanation:
[tex]n^x*n^y=n^{x+y}[/tex]
so
[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]
[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]
[tex]c^4*c^2=c^{4+2}=c^6[/tex]
put it all together
[tex]a^3b^2c^6[/tex]
Taylor wirtes a exppersion with five terms all 5 terms are like terms how many terms are in equivilent exppersions with the least numbers of terms ?
Answers
Answer:
1 term
Step-by-step explanation:
Writing an expression of 5 terms such that all 5 terms are like terms ;
Using the analogy :
x, 2x, 4x, 3x, 5x
Writing as an expression :
x + 2x + 4x - 3x + 5x
7x - x + 5x
6x + 5x
11x
The least number of terms in its equivalent expression is 1 ;
As the expression x + 2x + 4x - 3x + 5x is equivalent to 11x
An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?
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Step-by-step explanation:
I do hope that you understand through the steps in the attachment, if not kindly reach out!
Look at this rectangular prism:
Answers
Answer:
3 : 1
Step-by-step explanation:
volume = length * width * height
The volume of the solid as it is shown is:
volume = 10 m * 6 m * 10 m = 600 m^3
old volume = 600 m^3
Now we triple the length.
The length becomes 3 * 10 m = 30 m
The new volume is:
volume = length * width * height
volume = 30 m * 6 m * 10 m = 1800 m^3
new volume = 1800 m^3
ratio of new volume to old volume = 1800 m^3 : 600 m^3
Divide both sides of the ratio by 600 m^3.
Ratio = 3 : 1
Answer: 3 : 1
Determine the quotient of .    
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What is the interquartile range (IQR) of this data set?
2, 6, 7, 11, 15, 16, 17
A.9
B.7
C.10
D.15
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Answer:
11 is the median of the entire data set
6 is the median of the lower half and 16 is the median of the upper half data scores...
Subtract 16 from 6 gives 10 so the answer is C) 10
=============================================================
Explanation:
The first step is to sort the data from smallest to largest. Luckily, that's already been done for us.
Next, we find the median. This is the middle most number of the set. In this case, the median is 11 since we have 3 values below it (2,6,7) and 3 values above it (15,16,17).
Let
L = {2,6,7}
U = {15,16,17}
where L and U are the lower and upper sets respectively.
In other words, anything in set L is lower than the median while anything in set U is above the median. The median itself (11) is not part of either set.
Notice how 6 is the midpoint of set L, while 16 is the midpoint of set U.
This means Q1 = 6 and Q3 = 16
Therefore,
IQR = Q3 - Q1
IQR = 16 - 6
IQR = 10
which is why choice C is the final answer.
Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be Rs 7, 29,000?
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Answer:
729000 year it's price will Rs 729000
On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 34 m long and the shadow is 24 m, how tall is the building
Answers
Answer:
Step-by-step explanation:
h=√[34²-24²]=√[(34-24)(34+24)]=√[10×58]=√(5×29)=√145 ≈12 m
The height of the building is 10 meters.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Let's call the height of the building "h".
We can use the Pythagorean theorem to relate the height, shadow, and hypotenuse of the right triangle:
h² + 24² = 34²
Simplifying and solving for h.
h² = 34² - 24²
h² = 676 - 576
h² = 100
h = 10
Therefore,
The height of the building is 10 meters.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
A pendulum is swinging next to a wall. The distance D(t)D(t)D, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) between the bob of the pendulum and the wall as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\sin(b\cdot t)+da⋅sin(b⋅t)+da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when the pendulum is exactly in the middle of its swing, the bob is 5\text{ cm}5 cm5, start text, space, c, m, end text away from the wall. The bob reaches the closest point to the wall, which is 3\text{ cm}3 cm3, start text, space, c, m, end text from the wall, 111 second later. Find D(t)D(t)D, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Answers
Answer:
D(t)=-2sin(pi/2 t)+5
Step-by-step explanation:
i did it on Khan academy
Answer:
-2sin(pi/2 t)+5
Step-by-step explanation:
ALso did on Khan Academy (its on the sinisoidal equations excercise)
How do you solve 17 and 18 I need explanation pls
Answers
Answer:
17. C
18.G
Step-by-step explanation:
17. According to the question, gravel is 4/13 of the total asphalt substance. One parking lot has 260 tons of asphalt. So this means there is 80 tons of gravel because 260 times 4/13=80. We need to find the tons of gravel if we made 3 parking lot. This means 3 parking lot is the same as 780. So we can just find the measure of gravel by multiplying
4/13 by 780.
[tex] \frac{4}{13} \times 780 = 240[/tex]
So there is 240 tons of gravel. C is the answer.
18. Set up system of equations.
[tex]a + b + c = 110[/tex]
The ratio of a to c is 1:7 and the ratio of b to c is 3:7. Using this information,
C is 7 times more than A.A is 3 times less than BUsing this info, we can make alternate equations
[tex]c = 7a[/tex]
[tex]b = 3a[/tex]
Subsitue this into the original equation,
[tex]a + 7a + 3a = 110[/tex]
[tex]11a = 110[/tex]
[tex]a = 10[/tex]
We need to find c, c is 7 times more than a so c is
[tex]c = 10 \times 7 = 70[/tex]
NEED HELP ASAP!!!!!!!
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The local time in Singapore is 7 hours ahead of the local time in London. A flight to London leaves Singapore at 0300 local time .
Flight takes 12hours and 45 minutes .What is the local time in London when it arrives?
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Answer:
I think its 8.45am if they are asking when it arrived in londonFactorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b
help Me these questions I will mark u as brainliest
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Answer:
Step-by-step explanation:
someone answer this please
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Answer:
720º
Step-by-step explanation:
To find the total amount of interior angles in any polygon, we have to use the formula, (n-2)*180.
Here, the n is the number of sides the polygon has. In this case, your polygon has 8 sides. Therefore it would be (8-2)*180 --> 4*180 = 720º.
Answer:
the answer is 720. Please give me brainliest
Plz help similarity theorems
Answers
Answer:
b is the answer bro and try first then ask questions
If the bearing of Saaman from Ankaase is 171. What is the bearing of Ankaase from Saaman.
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Step-by-step explanation:
A. Theta + 180 (when angle is less than 180)
Theta - 180(when angle is greater than 180)
Thus, 171 + 180 = 351°
B. I. Angle CBF + Angle BFG = 180 (Co interior angles)
CBF + 118 = 180
CBF + 118 –118 = 180 –118
CBF = 62°
Ii. 83 + X + CBF = 180 (Angles on a straight line)
83+X+62 =180
145+x=180
145–145+x=180–145
X = 35°
hlpppppppppppppppppppppppppppppppppp
Answers
Answer:
4th quadrant
Step-by-step explanation:
quadrant 4 is (+,-)
Answer:
It is the 4th quadrant!
Step-by-step explanation:
Hope it helps! ;D
The altitude of an equilateral triangle is 6v3 units long. The length of one side of the triangle is
units.
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Answer:
Side = 2 * height / sqr root 3
Side = 2 * 6 * sqr root 3 / sqr root 3
Side = 12
Step-by-step explanation:
If a wheel has a radius of 5cm
how much is one rotation of the wheel
How many rotations can the wheel do within a distance of 50km
Answers
Answer:
circumference = 2*PI*radius
circumference = 2 * PI * 5 cm
circumference = 31.4159265358979 cm
50 km = 500,000 centimeters
rotations = 500,000 / 31.4159 cm
15,915.51 rotations
Step-by-step explanation:
An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?
Answers
Answer:
not D
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
