which features describe the graph of y^2/96^2 - x^2/40^2 = 1? select two options
◽️a focus at (104, 0)
◽️a focus at (0, - 96)
◽️a vertex at (- 40, 0)
◽️a vertex at (0, 96)
◽️the center at (0, 0)
Answers
Answer: d and e
Step-by-step explanation:
Edge 2021
The option describes graph 4. a vertex at (0, 96), and 5. the center at (0, 0) from the given equation [tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given equation is
[tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
From the given equation,
a = 40
b = 96
(h,k) = (0,0),
The vertices are at (0,96) and at (0, -96).
The curves open upward and downward.
c² = a² + b²
c² = 40² + 96²
c² = 10816
c = 104
Therefore the foci are at (0, -104) and (0, 104).
Hence, the option describes the graph
4. a vertex at (0, 96) is correct.
5. the center at (0, 0) is correct.
Learn more about equations here;
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Related Questions
Help me and I’ll give you Brainliest and if u don’t know don’t answer
Answers
I don’t know for sure though
Answer:
2 in. × 25 in. [Choice 2]5 in. × 10 in. [Choice 4]1 in. × 50 in. [Choice 6]Dominic's car used 8 gallons to travel 192 miles. At what rate does the car use gas, in
miles per gallon?
Answers
Answer:
24 miles per gallon
Step-by-step explanation:
to find the unit rate you divide 192 by 8 and that is 24
so it takes Dominic 1 gallon to drive 24 miles
hope this helps!
Need some help with this soon!
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Answer:
f(x)=|x+6|
Step-by-step explanation:
because it is moving the function without changing the slope
Round to the nearest tenth
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Answer:
22.5
Step-by-step explanation:
13 square root 3 equals that
Function Composition:
Let the function [tex]f(x)= 3+6x[/tex] , determine:
Answers
Answer:
Given
f(x) = 3 + 6xA
Find the inverse of f(x):
x = 3 + 6f⁻¹(x)6f⁻¹(x) = x - 3f⁻¹(x) = (x - 3) / 6B
f · f⁻¹( ∛5/6) = f( f⁻¹( ∛5/6)) = f((∛5/6 - 3)/6) = 3 + 6((∛5/6 - 3)/6) =3 + ∛5/6 - 3 =∛5/6C
f · f⁻¹(x) = f(f⁻¹(x)) = f((x - 3)/6) = 3 + 6(x - 3)/6 = 3 + x - 3 = xBryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he wanted to have four separate small gardens, each of them exactly the same size and shape. In other words, “congruent.” Remember, all four gardens must fit exactly within the shape of the property as shown below; you can’t change the dimensions of the property or move things around - you have to keep your design within the original shape. Bryce came up with an ingenious design that fit the client’s request exactly. Can you figure out what his design was?
Answers
.........................................
Find the AREA.
help I need help fast I have 15 minutes
Answers
Answer:
78
Step-by-step explanation:
a= (a+b/2)(H)
9+17=26/2=13x6= 78
do bedmas
hope this helps
What is the correct ratio? *
Answers
Answer:
The correct ratio is 40/41
A 2-kilogram bag of potting soil costs $1.96. What is the unit price?
Answers
Answer:
The unit price is $0.98
Answer:
98¢
Step-by-step explanation:
The unit price of an item is the price of one unit. In this case, this would be the price of a single kilogram.
To find the unit price, we'll divide the given price by the amount of units it is for. So, divide 1.96 by 2.
1.96 ÷ 2 = unit price
0.98 = unit price
This means the price of a single kilo of potting soil is $0.98. The unit price of the potting soil is 98 cents.
Good luck :)
If f(x)=1−x^2 +x^3 , then f(−1)=
Answers
Answer:
f(-1) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1 - x² + x³
f(-1) is x = -1 for the function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -1An angle turns through 1/360 of a circle. what is the measure, in degrees, of the angle. I really need help with this please.
Answers
Answer:
1 degree
Step-by-step explanation:
because a circle is 360 degrees
Write the algebraic expression that matches each graph:
Answers
Answer:
follow me and I will answer it
Solve the inequality
J+7>3j-4
Answers
Answer:
E. j<5.5
Step-by-step explanation:
Step by step explanation
ANSWER FAST
SHOW YOUR WORK
1. 9.5 + x = 14.2
Answers
Answer:
4.7
Step-by-step explanation:
14.2 - 9.5 = 4.7
hope that helps!
Find the total surface area of this square based
pyramid.
1077
10 ft
[? ]ft2
Enter
Answers
Answer:
300ft^2
Step-by-step explanation:
Total surface area = Area of base + (1/2) x perimeter of base x slant height
Area of base = length² = 10 x 10 = 100
Perimeter of base = 2 ( length + breadth)
2 x 20 = 40
slant height = 10
100 + (1/2) x 40 x 10 = 300 ft^2
A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Aisha purchased a membership to this pizza shop. How much would Aisha have to pay the pizza shop if she bought 8 slices of pizza this month? What would be the monthly cost for
x slices of pizza?
Answers
Answer:
Aisha would pay 21 dollars for 8 slices.
Equation 2x(x=number of slices)+5
Step-by-step explanation:
On a piece of graph paper, graph the line that passes through point (-2,3) with a slope of 2/3. Give me the coordinates of a first quadrant point that lies on this line, and has integer coordinates.
Answers
Answer:
Pic po nasan???????Step-by-step explanation:
-_-PLEASE HELP ASAPPPPP Find the value of x for mAB= 27° and mCD= 49°. The figure is not drawn to scale
Answers
Answer:
Step-by-step explanation:
The other guy has mislead other people. If i turned my thing in, I would have gotten a 90% instead of 100%.
It is A.
38 degrees.
The measure of x is (a) 38 degrees
The given parameters are:
[tex]mAB = 27^o[/tex]
[tex]mCD = 49^o[/tex]
The measure of x, is the average of angles AB and CD.
So, we have:
[tex]x = \frac{mAB + mCD}{2}[/tex]
Substitute known values of AB and CD in the above equation.
So, we have:
[tex]x = \frac{27^o + 49^o}{2}[/tex]
Add 27and 49
[tex]x = \frac{76^o}{2}[/tex]
Divide 76 by 2
[tex]x = 38^o[/tex]
Hence, the measure of x is (a) 38 degrees
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Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the -score for each of the five observations (to 2 decimals). Enter negative values as negative numbers. Observed value -score
Answers
Answer:
Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]
Given :
Sample with data values of [tex]x_i[/tex] [tex]10,20,12,17[/tex] and [tex]16[/tex]
Sample size[tex]n=5[/tex]
To find:
Compute the score for each of the five observations.
Explanation :
[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
[tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]
[tex]\Rightarrow \bar{x}=15[/tex]
Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]
[tex]\Rightarrow \sigma=4[/tex]
[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].
So, when [tex](x=10),[/tex] [tex]Z=\frac{10-15}{4}=-1.25[/tex]
when [tex](x=20),[/tex] [tex]Z=\frac{20-15}{4}=1.25[/tex]
when [tex](x=12),[/tex] [tex]Z=\frac{12-15}{4}=-0.75[/tex]
when [tex](x=17},[/tex] [tex]Z=\frac{17-15}{4}=0.50[/tex]
when [tex](x=16)[/tex] [tex]Z=\frac{16-15}{4}=0.25[/tex]
Help please i need this done i will mark brainlest and it will help me out a lot please
no links or images please just words!!!
Answers
Answer:
Perimeter is (width×height) but in this case it would be base×width & height...
First find the with of the triangle,by measureing the points with the base.
Second to find the base simply look equilateral and the half circle. and see how the lines in between it and the triangle collide. and count the spaces to find the base.
Third measure the height with the best estimate.
And finally, multiply by (h×w) and divide by the base.
After following these steps the answer I have come to is: 45
Step-by-step explanation:
I'm sorry if this is wrong I tried my best ❤️Good luck! and have a great day or night!
Answer:
42,84
Step-by-step explanation:
Remark
Two of the sides are 12 inches. The third side is also 12 but it serves as a diameter of the semicircle.
The circumference of the semi circle is 2*pi*r /2 = pi * r
The total perimeter is pi * r + 2*12
r = d/2
r = 12/2
r = 6
Perimeter = 6*pi + 24 might be you answer.
Perimeter = 42.84
I don't know which answer to use. It all depends how other questions have been answered. Sometimes you take the decimal answer and sometimes you take the answer in terms of pi. I think the latter is what I would try first.
In the diagram below, AB, BC and CD are three sides of a regular polygon.
The polygon has 15 sides.
The length of each side is 8 cm.
The exterior angle of the polygon is x.
BRC is a right-angled triangle.
Calculate the length of BR.
Thanks in advance
Answers
Answer:
BR is about 7.3084 cm
Step-by-step explanation:
the sum of the exterior angles of any polygon is 360. The measure ox x would be 360/15= 24
since I want BR, I will use cos (adj/hyp)
cos24=s/8
.9135=s/8
7.3084=s
Matthew thought the price of a game was $40. When he got to the store the price
was $60. Calculate the percent error.
Answers
Answer:
It is 20%
Step-by-step explanation:
$60 - $40 = $20
Graph the ordered pair(4,6) and its reflection over the y-axis name the coordinates for the reflection
Answers
The new point after a reflection over the y-axis is (-4,6)
whats 2+2 i dont know the answer .......................
Answers
Answer:
4
Step-by-step explanation:
Two cooies plus two cookies is four cookies.
two plus two equal 4
Ty
Find the volume
Show work
Answers
Sir there seems to be a picture in your pixels.
i would assume the measurements (from left to right) is 34m 14m 20m and 14m
find the area of the triangle so split the 24 in half 12 and 12
then multiply 12*14 which is 168
i would assume the area is 168m^2
then multiply by 20m
3360m ^3
Rewrite the quadratic function below in Standard Form.
y = (x - 4) (x + 3)
Answers
the standard form of a quadratic formula is
y = ax^2 + bx + c
in this case you will solve using foil method
(× - 4)(x + 3)
(x × x) +( x × 3 )(- 4 × x) ( -4)× 3))
x^2 + 3x - 4x -12
x^2 - x - 12
therefore
y = x^2- x - 12
Please help me I really need to finish this
Answers
Answer:
9
Step-by-step explanation:
Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]
Calculating the sampling distribution of the sample mean:
[tex]\to \mu=\mu_\bar{x}=650[/tex]
Calculating the sampling distribution of the standard deviation:
[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]
ABC and XYZ are similar find the missing side length
Answers
Answer:
5
Step-by-step explanation:
Since both triangles are similar, the ratio of their corresponding side lengths would be equal.
This implies that:
AB/40 = 8/64
Cross multiply
AB*64 = 40*8
AB*64 = 320
AB = 320/64
AB = 5
Answer:
Step-by-step explanation:
the Answer is 4
please helpp me with this assignment
Answers
2^-4 = 1/16
5^-2 = 1/25
2^5 = 32