Consider the conic section C represented by the equation 9x2 – 25y2 = 225. Which of these is a characteristic of the graph of C? (A) Vertices at (3,0) (B) Vertices at (0, 5) (C) Asymptotes at y = + x (D) Asymptotes at y = x 3
Answers
Answer:
The only true statement is:
(B) Vertices at (0, 5)
Step-by-step explanation:
We have the equation:
9*x^2 - 25*y^2 = 225
The graph of this equation can be seen below.
In the graph we can see:
We have two vertices, one at (0, 5) and another at (0, - 5)
Then option B) "Vertices at (0, 5)" is true.
Also in the graph you can see that we have (kinda linear) asymptotes at:
y = x + 5
y = -x + 5
y = x - 5
y = -x - 5
The two options for the asymptotes are:
(C) Asymptotes at y = + x
(D) Asymptotes at y = x 3
So both of these are incorrect.
Related Questions
440
36°
B
A
F
Angle BAC and angle DAE are
complementary. What is the
measure of angle DAE?
Answers
Answer:
44 degrees
Step-by-step explanation:
if BAC and DAE are complementary then their sum is equal to 90 degrees
90 - 36 = 44 degrees
Answer:
54
Step-by-step explanation:
your suppose to substract 90 degrees minus 36 = 54
90-36=54
Which two values are located at the same point on a number line? 1/2 and 2 , 2/2 2 , 2/1 2 , 2/1 and 1
Answers
Answer: [tex]\frac{2}{2},1\ \text{and}\ \frac{2}{2},1[/tex]
Step-by-step explanation:
[tex]\Rightarrow \dfrac{2}{2}\ \text{is equivalent to 1}[/tex]
[tex]\text{So, }\ \dfrac{2}{2},2\ \text{is equivalent to 1,2}[/tex]
[tex]\text{Similarly, }\ \dfrac{2}{1},1\ \text{represents 2,1 or 1,2}[/tex]
[tex]\text{So,}\ \frac{2}{2},1\ \text{and}\ \frac{2}{2},1\ \text{are represents same on number line.}[/tex]
Find the surface area of the composite figure
Answers
solution given:
For Cuboid
length[l]=11mm
breadth [b]=9mm
height[h]=6mm
For semi cylinder
height[H]=11mm
radius[r]=[tex] \frac{9}{2}=4.5mm[/tex]
Now
Totalsurface area=2(lb+bh+lh)+½(2πr(r+H))-l*b[/tex]
:2(11*9+9*6+11*6)+22/7*4.5(4.5+11)-11*9
:438+219.2-99
:558.2mm²
Here area of base is subtracted as it is not included.
Total surface area of composite figure is :558.2mm².
Answer:
[tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringGeometry
Shapes
Congruency
Congruent sides and lengthsRadius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]
d is diameterSurface Area of a Rectangular Prism Formula: SA = 2(wl + hl + hw)
w is widthl is lengthh is heightSurface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
[Rectangular Prism] w = 9 mm
[Rectangular Prism] l = 11 mm
[Rectangular Prism] h = 6 mm
[Cylinder] d = 9 mm
[Cylinder] h = 11 mm
Step 2: Derive
Modify Surface Area equations and combine
[Surface Area of a Cylinder Formula] Factor: [tex]\displaystyle SA = 2(\pi rh + \pi r^2)[/tex][Surface Area of a Cylinder Formula] Divide by 2 [Semi-Cylinder]: [tex]\displaystyle SA = \pi rh + \pi r^2[/tex][Surface Area of a Semi-Cylinder] Substitute in r [Radius Formula]: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d}{2})^2[/tex][Surface Area of a Semi-Cylinder] Evaluate exponents: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d^2}{4})[/tex][Surface Area of a Semi-Cylinder] Multiply: [tex]\displaystyle SA = \frac{\pi dh}{2} + \frac{\pi d^2}{4}[/tex][Surface Area of a Rectangular Prism] Remove top: [tex]\displaystyle SA = 2(wh + lh) + lw[/tex]Combine Surface Area equations: [tex]\displaystyle SA_{Total} = \frac{\pi dh}{2} + \frac{\pi d^2}{4} + 2(wh + lh) + lw[/tex]Step 3: Find Surface Area
Substitute in variables [Combined Surface Area equation]: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (9 \ mm)^2}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Evaluate exponents: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (81 \ mm^2)}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[54 \ mm^2 + 66 \ mm^2] + 99 \ mm^2[/tex][Brackets] Add: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[120 \ mm^2] + 99 \ mm^2[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 240 \ mm^2 + 99 \ mm^2[/tex]Add: [tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]URGENT!!! Solve the equation for the unknown
Answers
[tex] \huge\boxed{ \boxed{ \mathrm{Answer࿐}}}[/tex]
The value of x is 4Solution in attachment :
_________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]
You can answer either question but just know you will get brainliest!
Answers
Answer:
1. x= -4
2. x= 7
Step-by-step explanation:
hope this helps :)
which is greater 30% or 0.4
Answers
Answer:
Well, 30% is equal to 0.3.
0.4 > 0.3
Step-by-step explanation:
Hope that this answers your question. If not please put any further questions below.
Have a great rest of your day/night!
Find the measure of one of the interior angles of a
regular polygon with 8 sides.
A
1080°
B
157.5°
с
135°
D
202.5°
Help plss
Answers
Find the measure of the indicated angle.
Answers
The area of a square garden is 64 m2. How long is each side of the
garden?
Answers
Answer:
hope this will help you more...best of luck
1/3 (x -10) = -4
x = ?
Answers
Answer:
x = -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Which fraction has a repeating decimal as its decimal expansion?
Answers
Answer:
3/11
Step-by-step explanation:
3 divided by 11 = 0.27272727272
nine red balls and six blue balls are in a bag. if two were selected at random, determine the probability of selecting two red balls. set up the problem as if it would be solved but don't solve
Answers
Explanation: 9 out of the 15 total balls are blue and when you remove one blue ball, 8 out of fourteen balls are blue. These fractions are the chances of drawing each ball separately, so you multiply the chances together to get the chance of both happening.
Mr porter had eight parties at her house last year the number of guest at each party is shown below 15,19,9,27,21,21,10,14
Answers
Answer:
17Step-by-step explanation:
Complete question
Mr porter had eight parties at her house last year the number of guests at each party is shown below 15,19,9,27,21,21,10,14. What is the median numbers of those parties
The median value is the value at the middle after rearrangement
On rearranging in ascending order
9, 10, 14, (15, 19), 21, 21, 27
Since there are two values in the middle, we will take the average of the numbers
Median = 15+19/2
Median = 34/2
Median = 17
Hence the median value is 17
What is the slope of the line that passes through (2,3) and (2,11)
Answers
Answer:
the slope is unidentified
Step-by-step explanation:
x=2
there is no slope.
HELP
evaluate the function: f(x)=-x^2-x+3
f(-4)
show steps please
Answers
put -4 where the x is
so
-4^2-(-4)+3
16 + 4 + 3
23 is the answer
Plz help with number 6 this is due today
Answers
what is the tenth term of sequence described by the rule
A(n)=-9+5(n-1)
A.54
B.36
C.-36
D.-54
Answers
Answer:B.36
Step-by-step explanation:
Given that
A(n)=-9+5(n-1)
The 10th term will be
A(₁₀)=-9+5(10-1)
A(₁₀)=-9+5(9)
A(₁₀)=-9+45
A(₁₀)=36
1. 10x +14 y+8 37 27 +3 4y-19 X+77.
Answers
Answer:
Step-by-step explanation:
For you guys not for me- The orca weighs 4 tons. How many pounds is that
Answers
Answer:
8,000 pounds
Step-by-step explanation:
1 US ton = 2,000 pounds
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
8000 pounds.1 ton is 2000 pounds
4 tons = 8000 pounds
Thanks Hope it helps.Some remedies for gluten intolerance are to increase your intake of fruits and vegetables
A. True
B.False
Answers
I think that's false
Step-by-step explanation:
Hope this helps
Answer:
true
Step-by-step explanation:
gluten intolerance can stop you from absorbing really important nutrients, commonly found in fruits and veggies so increasing your intake can help you absorb the nutrients.
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
[tex]10\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sin 45^{\circ}=\frac{y}{10\sqrt{2}},\\y=10\sqrt{2}\sin45^{\circ}=10\sqrt{2}\cdot\frac{\sqrt{2}}{2}=\frac{10\cdot 2}{2}=\boxed{10}[/tex]
How do I solve questions like this?!
Answers
Miguel walked Ask Your Teacher mile to the library and then Ask Your Teacher mile to the post office. How can he write Ask Your Teacher and Ask Your Teacher as a pair of fractions with a common denominator?
Answers
Answer:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
Step-by-step explanation:
Given
[tex]Library \to \frac{1}{2}[/tex]
[tex]Post\ Office \to \frac{3}{5}[/tex]
See comment for complete question
Required
Write as a common denominator
Take the denominator of both fractions
[tex]2 \to[/tex]
[tex]5 \to[/tex]
Calculate the LCM
[tex]2 \to 1 * 2[/tex]
[tex]5 \to 1 * 5[/tex]
[tex]LCM = 1 * 2 * 5[/tex]
[tex]LCM = 10[/tex]
Multiply the numerator and the denominator of both fractions by 10
Simplify each to ensure a denominator of 10
[tex]\frac{1}{2} \to \frac{1}{2} * \frac{10}{10} \to \frac{1}{1} * \frac{5}{10} \to \frac{5}{10}[/tex]
[tex]\frac{3}{5} \to \frac{3}{5} * \frac{10}{10} \to \frac{3}{1} * \frac{2}{10} \to \frac{6}{10}[/tex]
Hence, the pair is:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
What is the measure of angle B in degrees?
A) 30
B) 45
C) 60
D) 90
Answers
Answer:
its a 30 my friend and if its not a then choose b hope this helped
Step-by-step explanation:
what's the answer ?
[tex] \sqrt{245 + 44} [/tex]
Answers
[tex]\huge\mathfrak\pink{Answer...}[/tex]
+,- 17
[tex]\huge\mathfrak\purple{hope \: it \: helps..}[/tex]
Find the average value of f(x)=−5x4+4x−10
over the interval [−2 , 2]
-104
335
67
26
-67
-151
151
-335
104
-26
Answers
Answer:
Step-by-step explanation:
the answer is f(x)= -5x4+4x-10 over [-2,2]
what are the x- and y-intercepts for the graph of 4x-3y=-12?
Answers
y-intercept is (0,4)
Please help! I will give Brainliest!
Answers
Answer:
B
Sorry about the other person
Hi!! whats 3+3? :P .....
Answers
Have a great day!
Answer:
6
Step-by-step explanation:
Thank you for the points, have a wonderful day!
A storm blew over a billboard 27 feet so that it is leaning against a pole 21 feet. How far from the base of the pole is the base of the billboard?
Answers
the base is 6ft of the billboard