The required intercepts of the given ellipse x²/4 + y²/9 = 1 would be (A) (0, ±3).
What are intercepts?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.
This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.
These points satisfy x = 0 because of this.
So, we have the ellipse:
x²/4 + y²/9 = 1
So, the intercepts would accordingly be:
(0, ±3)
Therefore, the required intercepts of the given ellipse x²/4 + y²/9 = 1 would be (A) (0, ±3).
Know more about intercepts here:
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She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
+ 12x + 3y = 72
14x = 70
14x/14= 70/14 → x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
7y/7= 28/7 → y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.
Explain how you know that a system of equations has no solution.
Explain how you know that a system of equations has an infinite number of solutions.
Answer:
Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.
PART B—- Find the surface area of the figure. PLEASE HELP!!
Just part b!
Answer:
24 ft^2
Step-by-step explanation:
Surface area is the total area on the surface of the figure.
One side of the cube is 4 ft^2 (2ft*2ft)
there are 6 sides.
4ft^2 * 6 sides is 24 ft^2
There are 8 volunteers during the weekday and only 5 volunteers on the
weekend. How many volunteers do you have on Monday and Saturday?
If you have 10 people who need help from the volunteers on Monday,
how many will not get helped if the ratio of volunteers to the person
needing help is 1:1? Show how you got your answer.
Answer:
Monday is a weekday, with which there would be 8 volunteers.
In turn, Saturday is a weekend day, with which there would be 5 volunteers.
2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.
Step-by-step explanation:
Given that there are 8 volunteers during the weekday and only 5 volunteers on the weekend, to determine how many volunteers do you have on Monday and Saturday the following logical reasoning must be carried out:
Monday is a weekday, with which there would be 8 volunteers.
In turn, Saturday is a weekend day, with which there would be 5 volunteers.
In turn, if you have 10 people who need help from the volunteers on Monday, to determine how many will not get helped if the ratio of volunteers to the person needing help is 1: 1 the following logical reasoning must be carried out:
10: 8
1: 1
10 - 8 = 2
Thus, 2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.
Answer:
ok read the step by step
Step-by-step explanation:
imagine you're in a sauna alone, the room is a comfortable warm temperature and there is a light sweat that coats your skin. suddenly a man walks in with a towel around his waist, he is a big burly man with massive muscles. he sits next to you and lets go of his towel. after some awkward conversation he gets up to leave and forgets to hold his towel. the towel falls almost in slow-mo and it reveals... a fishtail? he looks back in shock and says in a deep voice "you know too much" raises his arm and strikes you down.
use the gcf to rewrite the expression 20r+16z
Answer:
20r + 162= 4(5r + 4z
Hope this helps and is right.
Solve the inequality.
-6n > 54
Answer:
n < 9
Step-by-step explanation:
Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.
[tex]-6 n > 54[/tex]
[tex]/ (-6)[/tex]
[tex]n < 9[/tex]
what is 50 x356 PLZ HELP MY ANSWER IS 178000 AM I RIGHT
Giving 13 points!! Help help help
Answer:
a. 15
b. 27
c. 4
d. 72
e. 2
Step-by-step explanation:
If you need an explanation lmk! happy to help.
3 ⅕ -⅔ divided by 2 ⅘
Answer:
160/196
Step-by-step explanation:
it would be easier if you converted all fractions to improper fractions
so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5
[tex]\frac{14}{5} - \frac{2}{3}[/tex] : to solve this you would need the same common denomenator,
to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15
thus
multiplying first fraction by 3 and the second by 5
42/15 - 10/15 = 32/15
now 32/15 divided by 14/5
the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:
[tex]\frac{32}{14}[/tex] multiplied by [tex]\frac{5}{14}[/tex]
thus, answer is 160/196
5. In the diagram above, what is the volume of the rectangular prism?
A. 120 cm
B. 162 cm
C. 324 cm
D 360 cm
Answer:
The answer is D.
Step:
6*5*12=360
What is the area of the base of the figure
48
45
30
24
i believe the area is 48 if it's not correct sorry
HELP I WILL GIVE BRAINLIEST
Answer:
third one helps to get the median the best measure from centre.
Example 3
he two In a class of 60 students, 46 passed Biology
and 42 passed Chemistry. Every student
ariable passed at least one of the two subjects. How
many students passed in both subjects?
Solution
Let U = students in the class
cps
Answer:
28 students passed in both subjects.
Step-by-step explanation:
We solve this question treating each event as a Venn set.
I am going to say that:
Event A: Passed Biology.
Event B: Passed Chemistry.
46 passed Biology
This means that [tex]A = 46[/tex]
42 passed Chemistry.
This means that [tex]B = 42[/tex]
Every student passed at least one of the two subjects.
This means that [tex]A \cup B = 60[/tex]
How many students passed in both subjects?
This is:
[tex]A \cap B = A + B - A \cup B[/tex]
From the values we have above
[tex]A \cap B = 46 + 42 - 60 = 28[/tex]
28 students passed in both subjects.
Raoul had a bottle that contains 2.2 liters of sparkling water. He pours 300 milliliters of the water from the bottle into a glass. How much sparkling water is left in the bottle?
Answer:
1.9 liters
Step-by-step explanation:
2200-300 = 1900
If the area of a circle is 144π in2, what is its circumference? Round your answer to the nearest tenth.
Answer:
42.54
Step-by-step explanation:
A=πr2
C=2πr
HELP WITH MATH EASSYYYYY
Answer:
Step-by-step explanation:
1. 6,561
2. 33 Oh wait sry its 87
3. 127
does this help?
Answer:
whats the question
Step-by-step explanation:
hey I could use some help!
Answer:
b is the right answer
Step-by-step explanation:
Does anyone have a answer to this?
What are the missing variables
Answer:
Reflection: How is multiplying non-unit fractions different from multiplying unit fractions?
Step-by-step explanation:
The equation for the circle below is x2 + y2 = 16. What is the length of the
circle's radius?
Answer:
4
Step-by-step explanation:
The general equation circle is
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
Where r is the radius
Plug in the equation
[tex] {x}^{2} + {y}^{2} = 16[/tex]
Take the sqr root of 16 tocfind the radius
[tex] \sqrt{16} = 4[/tex]
A microwave is placed on top of a stand. The stand is 3 feet 9 inches tall, and the microwave is 3 feet 11 inches tall. Together, how tall are they?
Write your answer in feet and inches. Use a number less than 12 for inches.
Please anyone help me with these to questions please
Step-by-step explanation:
Given
1/5 + 3/4
= ( 4 + 15) / 20
= 19/20
Next question
2/3 + 1/8
= ( 16 + 3) / 24
= 19 / 24
Hope it will help :)❤
you purchase a bike for$175 the store-bought it from the manufacture for $100 what is the percent markup
Answer:
Step-by-step explanation:
In your own words, describe what an outlier is. Give a real life example of an outlier.
Answer:
"lies outside" (is much smaller or larger than) most of the other values in a set of data. For example in the scores 25,29,3,32,85,33,27,28 both 3 and 85 are "outliers".
Step-by-step explanation:
Answer:
An outlier is a number that is extremely smaller or extremely larger than all the other numbers. an example would be a data set of 8th graders heights where in the data set there is one kid that is much shorter or much taller than the rest of the 8th graders.
What is the product of 2 and 2 square foot 80
Answer:
35.7 I believe
Step-by-step explanation:
What is the common multiple of 2,960 6,400 and 2000 with full process
Answer:
1184000
Step-by-step explanation:
lcm(2960,6400,2000)
prime factor:
[tex]2960=(2^4)(5)(37)\\6400=(2^8)(5^2)\\2000=(2^4)(5^3)[/tex]
Take the largest power of each factor:
[tex](2^8)(5^3)(37^1)\\=1184000[/tex]
A boat travels 176 miles in 13
hours (with a constant speed).
How far can it travel in 22 hours
(with the same speed)?
Answer:
297.84 miles
Step-by-step explanation:
176 miles in 13 hours is 13.5 miles per hour
13.5 * 22 = 297.84
do your thing lilly, your awesome!
Answer:
8. 12.8
9. 400
Step-by-step explanation:
8. look at it like a square with a rectangle cut out of it, 4*4 = 16, the rectangle needs a base and to find that base 1.5+0.9 = 2.4, 4-2.4 = 1.6, 1.6*2 = 3.2, 16-3.2 = 12.8
9. look at it like a trapezoid with a triangle cut out of it, add the to bases 14+32 = 46, 46*20 = 920 divided by 2 which is 460, and then area subtract the triangle 12*10 = 120 divided by 2 which is 60, so 460-60 = 400
What is the measure of Angle
Step-by-step explanation:
ΔM + 63° = 180° ------ ( angle sum property )
ΔM = 180° - 63°
ΔM = 117°
------------------------------FOLLOW MEAnswer the 2 questions.
Answer:
Step-by-step explanation:
1. 80+8x≥176 because 80 times however many days worked plus 8 times however many video games sold on Thursday
and
2. 7x + 13y ≤ 81 I'm not sure how to explain why on this one.
CREDITS GO TO THE OTHERS WHO MADE THESE ANSWERS, I JUST FOUND THEM SO I COULD HELP THIS PERSON!
It says if (3,-4) is a point in the terminal side of the angle 0 which one of the following statements is not true
A sin 0= -4/5
B cos 0=3/5
C tan 0=-4/3
D sec 0=5/-4