9514 1404 393
Answer:
x^2/1 +y^2/81 = 1
Step-by-step explanation:
We know that the equation of a unit circle is ...
x^2 +y^2 = 1 . . . . . equation of a unit circle
We also know that replacing x with x/a in a function will expand the graph by a factor of 'a'. Similarly, replacing y with y/b will do the same in the vertical direction.
An ellipse is a circle that has had different expansion factors applied along its different axes. Here, the given points tell us the center of the ellipse is (0, 0), and that it has been expanded by a factor of 9 in the y-direction and a factor of 1 in the x-direction This means the equation for it would be ...
(x/1)^2 +(y/9)^2 = 1 . . . . . equation for desired ellipse
In the required form, this is ...
[tex]\dfrac{x^2}{1}+\dfrac{y^2}{81}=1[/tex]
Can someone explain this to me please
Answer: Choice B
Explanation:
Everywhere you see an x, replace it with a+2.
[tex]f(x) = 3(x+5)+\frac{4}{x}\\\\f(a+2) = 3(a+2+5)+\frac{4}{a+2}\\\\f(a+2) = 3(a+7)+\frac{4}{a+2}\\\\[/tex]
Coefficient and degree of the polynomial
Answer:
The leading coefficient is -8 as it is a mix of x and cardinal, if it was x alone then it wouldn't be the coefficient, we would use the next number shown.
If it was just a number and no x then it would still be the coefficient.
The degree is 9 as it is the highest power shown.
Step-by-step explanation:
See attachment for examples
If a point in quadrant IV is reflected in the y-axis, its image will lie in quadrant:
A. IV
B. II
C. I
D. III
Answer:
Option D is correct.
Step-by-step explanation:
A plane mirror shows that the image formed by it is of same size as that of object, same distance as that of object and same orientation and laterally inverted.
So, when a point is in IV quadrant and reflection is from Y axis, the image is in III quadrant.
Q: Solve for x: 8x-2-5x=8
A. OX=13
B. OX=2 1/2
C. OX=3 1/3
D. OX=7
Answer:
c. 3 1/3
Step-by-step explanation:
8x-2-5x=8
3x=10
x=10/3=3 1/3
Answer:
x=[tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
Hi there!
We want to find the value of x in this expression:
8x-2-5x=8
Our goal is to isolate x on one side
Combine like terms on the left side (add the terms with x together)
3x-2=8
Add 2 to both sides (-2+2=0)
3x-2=8
+2 +2
__________
3x=10
Divide both sides by 3
x=[tex]\frac{10}{3}[/tex]
Simplify the improper fraction
x=[tex]3\frac{1}{3}[/tex]
Hope this helps!
7. Solve for x: x/6 - y/3 = 1
Please give steps!
Find the slope of the line tangent to the graph of x²+2xy² +3y=31 at the point (2, -3)
9514 1404 393
Answer:
22/21
Step-by-step explanation:
Taking the derivative, we have ...
2x·dx +2y²·dx +4xy·dy +3·dy = 0
dx(2x +2y²) +dy(4xy+3) = 0
At the given point, this is ...
dx(2·2 +2·(-3)²) +dy(4·2·(-3) +3) = 0
22dx -21dy = 0
dy/dx = 22/21
The slope of the tangent at the point of interest is 22/21.
What is the range of this data: 42,20,36,51,60,28
Answer:
40
Step-by-step explanation:
range is the difference between the highest and lowest number.
60 is the highest and 20 is the lowest
60-20=40
2. Solve the following:
a. When six is added to four times a number the result is 50. Find the number.
b. The sum of a number and nine is multiplied by -2 and the answer is -8. Find the
number
10
m in
Step-by-step explanation:
a) let number=x
four times a number=4x
Condition:
4x+6=50
4x=50-6
4x=44
x=44/4
x=11
b) Condition:
x+9×-2=-8
x-18=-8
x=-8+18
x=10
Note:if you need to ask any question please let me know.
The sum of 'n' terms of an arithmetic sequence is 4n^2+3n. What is the first term, the common difference, and the sequence?
Answer:
d=8 and a=7
Step-by-step explanation:
The sum of a arithmetic sequence is given by (n/2)*(2a+(n-1)d). Comparing coefficients with the given Sn, we have; a-d/2=3 and d/2=4, d=8 and a=7. The sequence is 7, 15, 23, 31, 39
A cylinder has a radius of 6 inches and is 15 inches tall what is the volume of the cylinder round to the nearest whole square inch
Answer:
V=TT r²h
Step-by-step explanation:
TT=3.14
r=6
h=15
V=TTr²h
V=3.14×6²×15
V=3.14×36×15
V=1695.6inch³
A turboprop plane flying with the wind flew 1,200 mi in 4 h. Flying against the wind, the plane required 5 h to travel the same distance. Find the rate of the wind and the rate of the plane in calm air.
Answer:
30 and 270 respectively
Step-by-step explanation:
Let the speed of plane in still air be x and the speed of wind be y.
ATQ, (x+y)*4=1200 and (x-y)*5=1200. Solving it, we get x=270 and y=30
6+7=10
13+8=18
32+21=32
11+34=0
31+03=?
process please
Answer:
6+7=13
13+8=21
32+21=52
11+34=46
31+03=34
Step-by-step explanation:
im not sure in the 31+03
The figure shows an equilateral triangle with its sides as indicated. find the length of each side of the triangle .
I Will Mark Brainliest
Answer:
21
Step-by-step explanation:
All three sides are equal
2x-7 = x+y-9 = y+5
Using the last two
x+y-9 = y+5
Subtract y from each side
x+y-9-y = y+5-y
x-9 = 5
Add 9 to each side
x -9+9 = 5+9
x=14
We know the side length is
2x-7
2(14) -7
28-7
21
The side length is 21
A small airplane flies 750 miles with an average speed of 250 miles per hour. 1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747?
Answer:
The average speed of the 747 was of 600 miles per hour.
Step-by-step explanation:
A small airplane flies 750 miles with an average speed of 250 miles per hour.
Velocity is distance divided by time, and here, we find the time of the small airplane. So
[tex]v = \frac{d}{t}[/tex]
[tex]250 = \frac{750}{t}[/tex]
[tex]250t = 750[/tex]
[tex]t = \frac{750}{250}[/tex]
[tex]t = 3[/tex]
1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time;
This means that it traveled 750 miles in 3 - 1.75 = 1.25 hours.
What was the average speed of the 747?
[tex]v = \frac{d}{t} = \frac{750}{1.25} = 600[/tex]
The average speed of the 747 was of 600 miles per hour.
Here's the result of this question
The point (-2,7) has undergone the following transformations:
1. Translated 1 unit up and 4 units left
Then
2. Reflected about the c-axis
Then
3. Rotated 90° anticlockwise about the origin
A) Its final coordinates are (3,-1)
B) Its final coordinates are (8,-6)
C) Its final coordinates are (-8,6)
D) Its final coordinates are (-3,1)
Answer:
B) Its final coordinates are (8,-6)
Step-by-step explanation:
1. Translated 1 unit up and 4 units left
(-2,7) becomes (-6, 8)
2. Reflected about the x-axis
(-6,8) becomes (-6, -8)
3. Rotated 90° anticlockwise about the origin
(-6, -8) becomes (8, -6) because when rotating 90 degrees anticlockwise about the origin, point A (x,y) becomes point A' (-y,x). In other words, switch the x and y and make y negative.
Driving 70 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 3 hours to get to her destination with the jet traveling at a speed of 400 mph. How many miles does Alicia travel to get to her destination?
Answer:
Total distance covered= 910 miles
Step-by-step explanation:
Distance = speed x time
Distance covered from home to airport = 70 x 3= 210 miles
Distance covered from airport to destination= 350 x 2= 700 miles
Add them together to get the final answer.

Which description matches the function represented by the values in this
table?
X х
у
14
1
2
56
224
4
896
5
3584
O A. exponential decay
OB. linear growth
O C. linear decay
D. exponential growth
The given table represents Exponential growth.
Exponential growth:The process of Quantity rising over time is called exponential growth. An exponential function is used to create an exponential growth curve, which represents a pattern of data that shows a rise over time. Where the Exponential decay helps to understand the rapid decrease in a period of time
Here we have
The table
х 1 2 3 4 5
у 14 56 224 896 3584
From the given table, we can observe that
[tex]\frac{14}{56} = \frac{56}{224} = \frac{896}{3584} = \frac{1}{4}[/tex]
Since the absolute value of the common ratio is less than 1 i.e 1/4
And the values are increasing
Therefore,
The given table represents Exponential growth.
Learn more about Exponential growth at
https://brainly.com/question/8706992
#SPJ1
Players A and B play a basketball game in which they take turns shooting the ball, and the first player to make their shot wins. Player A has probability 2/3 of making each of her shots. Player B has probability 1/2 of making each of his shots. If Player A shoots first, what is the probability that she will win
Answer:
Player A has a probability 2/3 of making each of her shots, then she has a probability 1/3 of missing each shot.
Player B has a probability 1/2 of making each of his shots, then he also has a probability 1/2 of missing each shot.
Let's separate each case.
Let's define:
P(x) = probability of winning at the "x" shot.
Player A wins on the first shot.
Because she has a probability 2/3 of making each of her shots, the probability of winning at the first shot is
P(1) = 2/3
Now let's see the next case, player A wins at her second shot.
This means that first, she misses her first shot, with a probability of:
p₁ = 1/3
Player B must miss his shot, the probability is:
p₂ = 1/2
Now player A must make her shot, so the probability is:
p₃ = 2/3
The joint probability is the product of the individual probabilities, so we have:
P(2) = (1/3)*(1/2)*(2/3) = 1/9
Now we can see the pattern, for P(3) we have
A misses: p₁ = 1/3 (first shot of A)
B misses: p₂ = 1/2
A misses: p₃ = 1/3 (Second shot of A)
B misses: p₄ = 1/2
A makes the shot: p₅ = 2/3
P(3) = (1/3)*(1/2)*(1/3)*(1/2)*(2/3) = 1/54
We already can see the pattern.
P(n) = (1/3)^(n - 1)*(1/2)*(n - 1)*(2/3)
Player A has a probability P of winning, and we can write P as:
P = P(1) + P(2) + P(3) + ...
Then we will have:
P = 2/3 + 1/9 + 1/54 + 1/324 + ... ≈ 0.8
WORTH 15 POINTSSSSSSSSS
Answer:
15
Step-by-step explanation:
Difference in distances = 75-60 = 15 miles
So Car A travels 15 miles more than Car A in an hour
Answered by Gauthmath
Identify the similar triangle. Then find each measure (round to the nearest tenth).
Answer:
ZWU ~ WYU
WY = 2.5
UY= 1.5
Step-by-step explanation:
ZUW ~ WUY ~ ZWY
5/3=x+1/x
Cross multiply
5x=3x+3
2x=3
x=3/2 OR 1.5
What is the sum of the infinite geometric series?
Answer:
-6
Step-by-step explanation:
a1= -3
r= -(3/2)/-3 = 0.5
r>-3
s= a1/1-r
= -3/1-0.5
=-6
please help I have 3 mins left
Answer:
the first one is 3.7 x 10^-4
and the second one is 3.7 x 10^4
explanation:
when we have decimals we are going backward,
therefore "0.00037" would be a negative number
to find the scientific notation form, we have to move the decimal over to the left untill we get 3.7
it took 4 moves to the right to get to 3.7, and since were dealing with decimals it will be negative,
so the first one is 3.7 x 10^4
the second one however is not a decimal so it will be a positive exponent.
now remember that there is always a decimal after a number we might just not see it.
so, going from the very end of the number it takes us 4 moves to the left to get to 3.7
so,
the second one will be 3.7 x 10^4
hope this helped :)
What year was it when I was a freshman if I graduated this year(2021)?
Answer:
2019
Step-by-step explanation:
I am assuming you mean graduated from high school. If that's the case it's 2019. Sophmore year means 9th grade. which is 2019!
what is the area of the triangle ://
Answer:
The area of a triangle is:
Area = 1/2(bh)
Area = 1/2(70)
Area = 35 square inches
Let me know if this helps!
58. In nine given numbers, the average of first five numbers is 20 and that of the last five numbe also 20. If the average of mine numbers is 16. what is the fifth number?
Question 17 of 25
Solve the inequality. Enter the answer as an inequality that shows the value of
the variable; for example f>7, or 6 < w. Where necessary, use <= to write s
and use >= to write .
V-(-5) <-9
Answer here
I
SUBMIT
Answer:
v-(-5)<-9
v- remove brackets -5
v- -5= -4 +5 ( opposite operation)
v- = -4
v< -4
the length of a rectangle is 4 meters longer than the width. if the area is 22 square meters , find the rectangle dimension
Let breadth be x
Length=x+4We know
[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]
[tex]\\ \sf\longmapsto x(x+4)=22[/tex]
[tex]\\ \sf\longmapsto x^2+4x=22[/tex]
[tex]\\ \sf\longmapsto x^2+4x-22=0[/tex]
By solving[tex]\\ \sf\longmapsto x=-2\pm\sqrt{26}[/tex]
It doesnot have any real roots
The height of the triangle is 4 meters longer than twice its base. find the height if the area of the triangle is 80 square meters. The height must be ___meters
Answer:
The height is 20 meters
Step-by-step explanation:
First set up the equation (Area)80=bh/2 then set up another equation, (height) h=4+2b (base). After this you can substitute h in the equation to end up with 80=(b(2b+4))/2 simplify it to get 80=b^2+2b then solve. The base is 8 meters, plug into the formula that we made before and you find the height is 20 meters.
HELP HELP ASAP!!! ANYONE ANYONE
Answer:
Step-by-step explanation:
factor each total
27 = 3 x 3 x 3
18 = 3 x 3 x 2
45 = 3 x 3 x 5
The largest (and only) common factor is 3
however each factorization also contains the product 3 x 3 = 9
so the maximum each bag may have cost is $9 and if so, she sold 5 bags of sugar cookies.
another option would be that each bag cost $3 and she sold 15 bags of sugar cookies. However, the question asked for the maximum possible price.
Triangle DEF contains right angle E. If angle D measures 40° and its adjacent side measures 7.6 units, what is the measure of side EF? Round your answer to the nearest hundredth.
[tex]\\ \rm\longmapsto cot40=\dfrac{7.6}{EF}[/tex]
[tex]\\ \rm\longmapsto EF=\dfrac{7.6}{cot40}[/tex]
[tex]\\ \rm\longmapsto EF=\dfrac{7.6}{1.19}[/tex]
[tex]\\ \rm\longmapsto EF=6.38units[/tex]
Answer:
[tex]\displaystyle 6,38\:units[/tex]
Step-by-step explanation:
You would set your proportion up like so:
[tex]\displaystyle \frac{7,6}{EF} = cot\:40° \\ \\ 7,6 = EFcot\:40° → 6,3771571969... = \frac{7,6}{cot\:40°} \\ \\ 6,38 ≈ EF[/tex]
I am joyous to assist you at any time.