Answer:
The answer is below
Step-by-step explanation:
The co-vertices of an ellipse are the endpoints of the minor axis. The equation for an ellipse is given by:
[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1[/tex]
Where (h, k) is the center of the ellipse, (h, k±b) is the co-vertices, (h ± a, k) is the vertices, (h ± c, k) is the foci and c² = a² - b²
Since the center is the origin, hence (h, k) = (0, 0). i.e h = 0, k = 0.
Foci = (h ± c, k) = (± c, 0) = (±3, 0). c = 3
co-vertices = (h, k±b) = (0, ±b) = (0, ±4). b = 4
c² = a² - b²
a² = c² + b²
a² = 3² + 4² = 25
a = 5
Therefore the equation of the ellipse is:
[tex]\frac{x^2}{5^2} +\frac{y^2}{4^2}=1 \\\\\frac{x^2}{25} +\frac{y^2}{16}=1[/tex]
Answer number 1 plsssss
Answer:
At Z-Mart, after the discount it is 7/8 of the original price of 225,
at ABC Sports the final price is 200,
and at Bike World, after the discount it is 3/4 of the original price of 265
so
we multiply 225 by 7/8 to get 196.88,
which is lower than ABC Sports,
and then we multiply 265 by 3/4 to get 198.75, which is higher than Z-Mart
so Z-Mart or A) is correct.
Hope this helps! :D
I need help with finding x. Can someone help me please?
Answer:
x=25
Step-by-step explanation:
these angles are of the same measure, so i set the two values equal to eachother. it looks like
75=(4x-25)
and solve for x
I HOPE THIS IS RIGHT!! have a great day
Find the value of x.
45 3x
N
K
M
Answer:
I'm unable to understand your question please write it properly
The weight of 81 books is 9 kg .What is the weight of 88 such books ?
Answer:
Step-by-step explanation:
9/81= kg per book= 1/9 kg
88 books weigh 1/9*88=88/9 kg = 9.77 kg
Answer:
9.77777777768kg
Step-by-step explanation:
81 books= 9kg
so, one book= 9/81= 0.11111111111111
Therefore, 88 books(88x0.1111111)
Answer: 9.77777777768kg
Joe goes to the store to buy jeans and some T-shirts. The jeans cost
$40 each and the T-shirts cost $20 each. If Joe spends $160 on 5 items,
how many pairs of jeans and how many T-shirts did he buy?
Answer:
Jeans: 3 T-shirts: 2
Step-by-step explanation:
40 times 3 equals 120
20 times 2 equals 40
120+40=160
Joe bought 3 pairs of jeans and 2 T-shirts.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
Let's represent the number of pairs of jeans that Joe bought "x".
The total cost of the jeans would be $40 × x.
And the total cost of the T-shirts would be $20 × (5 - x).
Since Joe spent a total of $160, we can set up an equation to solve for x:
$40 × x + $20 × (5 - x) = $160
Expanding the second term:
$40 × x + $20 × 5 - $20 × x = $160
Combining like terms:
$40 × x + $100 - $20 × x = $160
Subtracting $100 from both sides:
$40 × x - $20 × x = $60
Combining like terms:
$20 x = $60
Dividing both sides by $20:
x = 3
So he bought 3 pairs of jeans and 5 - 3 = 2 T-shirts.
Learn more about the equations here:
brainly.com/question/10413253
#SPJ5
Given a roll of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth.
PLS RESPOND ASAP I NEED THE ANSWER PLSSSS
Answer:
124.8 Inches
Step-By-Step
1/2 0.835 Inches = 0.4175
r = 0.4175
h = 0.077
A=2πrh+2πr^2
A=2π(0.4175)(0.077)+2π(0.4175^2)
A = 3.12
Nickel = 5 Cents
$2 = 200 Cents
200 / 5 = 40
(3.12)(40) = 124.8 In
Answer:
The answer is 0.8 in^2
Step-by-step explanation:
Data
diameter = 0.835 in
thickness = 0.077in
Roll of $ 2.00
Procedure
1.- Find the total number of nickels
# of nickels = 2/ 0.05
# of nickels = 40
2.- Calculate the Circumference
C = 2*pi*r
r = 0.077/2
r = 0.0385
C = 2*3.14*0.0385
C = 0.242 in
3.- Calculate the area of the thickness
Area = 0.242* 0.077*40
Area = 0.745 in^2
4.- Calculate the area of the base and the top
Area = 2*pi*r^2
Area = 2*3.14*(0.0382)^2
Area = 0.0093 in^2
5.- Calculate the total area of the roll
Total area = Area of the thickness + Area of the base and top
Total area = 0.745 + 0.0093
Total area = 0.7543 in^2 This is the result
Rounding to the nearest tenth = 0.8 in^2
The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?
Answer:
3
Step-by-step explanation:
Here is the full question :
This sign shows admission fees and ticket prices for a museum :
General Admission: $18
Tickets to Special Exhibits $7
Tickets to Movies $6
Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee
The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?
If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54
Since everyone would have to pay the general admission ticket, we can determine the number of people in the group
number of people in the group = total amount spent on general admission / price of general admission per person
= $54 / $18 = 3
(GIVING BRAINLIEST!!!)
What is the total length of all the ski trails that are 2 7/8 miles long?
Answer:
[tex]Total\ length = 8\frac{5}{8}\ miles[/tex]
Step-by-step explanation:
Given
See attachment for ski trails
Required
Total length of [tex]2\frac{7}{8}[/tex] ski trails
From the attached figure, there are 3 skis with length [tex]2\frac{7}{8}\ miles[/tex]
So:
The total length is:
[tex]Total\ length = 3 * 2\frac{7}{8}[/tex]
Express fraction as improper fraction
[tex]Total\ length = 3 * \frac{23}{8}[/tex]
[tex]Total\ length = \frac{3 *23}{8}[/tex]
[tex]Total\ length = \frac{69}{8}[/tex]
[tex]Total\ length = 8\frac{5}{8}\ miles[/tex]
Last week Bill earned $210 for a 30-hour
week. What was his pay rate? What would
he have earned for a 40-hour week?
Answer:
Pay rate: 7
He earns $160 for a 40-hour week
Step-by-step explanation:
210/30 = 7
[tex]\frac{30}{120} =\frac{40}{x} \\\\30x=4800\\x=160[/tex]
What is the circumference of the following circle?
Suppose (DE) = 103 ft. Calculate the distance of (AB) to the nearest tenth of a foot. Show your work. Don’t forget to label your answer.
f(x)=2/3x+3
what is the value of f(12)
Answer:
Step-by-step explanation:
Remark
What the question means is wherever you see an x on the right, you put in 12 and solve it. I'm going to assume you mean (2/3)*x + 3 on the right.
Solution
f(12) = (2/3) * 12 + 3
f(12) = 2 * 12 / 3 + 3
f(12) = 24/3 + 3
f(12) = 8 + 3
f(12) = 11
Determine if the sequence is geometric. If it is, find the common ratio. ( -4, 12, -36, 108, ... )
Step-by-step explanation:
to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term
so, 12/-4 = -3
also, -36/12 = -3
here u see the ratio is always same, i.e., common ratio.
thus u can say it is a geometric series with common ratio -3
What is the product of a+3 and −2a2+15a+6b2?
−2a3+9a2+45a+24b2
−2a3+21a2+45a+24b2
−2a3+9a2+45a+6ab2+18b2
−2a3+21a2+45a+6ab2+18b2
Answer:
-2a³ + 9a² + 6ab² + 45a + 18b²Step-by-step explanation:
(a + 3)×(−2a² + 15a + 6b²) =
= a×(−2a² + 15a + 6b²) + 3×(−2a² + 15a + 6b²) =
= -2a³ + 15a² + 6ab² - 6a² + 45a + 18b² =
= -2a³ + 9a² + 6ab² + 45a + 18b²
The product [tex](a+3) * (-2a^2+15a+6b^2)[/tex] is [tex]-2a^3+9a^2+ 45a +6ab^2 + 18b^2[/tex]
What is product?The product of numbers or expressions is gotten by multiplying them
The product expression is represented as:
[tex](a+3) * (-2a^2+15a+6b^2)[/tex]
Expand the expression
[tex]-2a^3+15a^2+6ab^2 -6a^2 + 45a + 18b^2[/tex]
Collect like terms
[tex]-2a^3+15a^2 -6a^2+ 45a +6ab^2 + 18b^2[/tex]
Evaluate the like terms
[tex]-2a^3+9a^2+ 45a +6ab^2 + 18b^2[/tex]
Hence, the product [tex](a+3) * (-2a^2+15a+6b^2)[/tex] is [tex]-2a^3+9a^2+ 45a +6ab^2 + 18b^2[/tex]
Read more about products at:
https://brainly.com/question/4344214
find the value of x. Thanks!!
Subtracting mixed number 4_1 - 2_7 4 8 4
Answer:
[tex]4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}[/tex]
Step-by-step explanation:
Given
[tex]4\frac{1}{4} - 2\frac{7}{8}[/tex] --- proper representation of the question
Required
Evaluate
Convert numbers to improper fractions
[tex]4\frac{1}{4} - 2\frac{7}{8} = \frac{17}{4} - \frac{23}{8}[/tex]
Take LCM
[tex]4\frac{1}{4} - 2\frac{7}{8} = \frac{34 - 23}{8}[/tex]
[tex]4\frac{1}{4} - 2\frac{7}{8} = \frac{11}{8}[/tex]
Convert to improper fraction
[tex]4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}[/tex]
answer for both and explain B
20+ points
Answer:
Given function:
g(x) = x² - 6x + ca)
c = 2Th x-intercept found when g(x) = 0
x² - 6x + 2 = 0Solve the equation to find the values of x:
x² - 6x + 2 = 0x² - 6x + 9 = 7(x - 3)² = 7x - 3 = ±√7x = 3 ± √7The x-intercepts are (3 + √7, 0) and (3 - √7, 0)
b)
c = 10Solve as above:
x² - 6x + 10 = 0x² - 6x + 9 + 1 = 0(x - 3)² = -1The left side is a square of a number which is always positive, the right side is negative.
It means there is no solution, so no-x-intercepts.
The graph of the function lies above the x-axis.
Which of these numbers is not larger than -2 on a number-line?
(a) 0
(b) -1
(c) 5
(d) -3
Answer:
D is correct.
0 is greater than -2.
-1 is greater than -2.
5 is greater than -2.
-3 is smaller than -2.
Hope this helps!
The equation y=100x represents the distance y in kilometers that a car can travel in x hours. Determine whether there is a constant of variation. If so, explain what it represents in this situation
Answer:
100
Step-by-step explanation:
Give the equation :
y = 100x
The equation above is expressed using the general formof a direct variation ; where ;
a varies directly as x equals
a = kx
Where, k = constant of proportionality
Comparing this with the equation above, we can conclude that, the above equation has a constant of variation, k which is equal to 100
Answer this quick pls it’s due today giving 20 points !
Answer:
1.5(4)+17=23
Step-by-step explanation:
1.5(4)+17=23
I know that because first we subtract 23 and 17 and get 6 so we divide 6 and 4 because there are 4 x's and we get 1.5 so we have 4, 1.5's and then to check our answer we multiply 1.5, 4 times or just add it and then we have to add 17+6 because 6 is what we got from multiplying 1.5, 4 times therefore the total of 17 and 6 is 23
what is f(-2) for f(x)=1/2x^2
Which of the following relationships would have a
negative correlation when graphed on a scatterplot?
F
The amount earned and the number of hours
worked
G The amount of commission earned and the amount
of sales made on which commission is paid
H The length of a side of a square and the perimeter
of the square
J The number of miles driven and the miles
remaining on a designated frin
Answer:
f
Step-by-step explanation:
Answer:
the answer is f
Step-by-step explanation:
determine the missing side lengths
Answer:
Given that is a 45-45 triangle, the hypotenuse should be x[tex]\sqrt{2}[/tex], so in this case. The hypotenuse should be 3[tex]\sqrt{2}[/tex], and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!
Step-by-step explanation:
Answer:
base =3in and hypotenuse =3√2
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin angle
sin 45=p/h
sin45=3in/h
h=3in/sin45=3√2 inch
relationship between perpendicular and base is given by tan angle
tan45=P/b
b=3in/tan45=3in
Three angles in a quadrilateral measure 58°, 77°, and 116°. What is the measure of the fourth angle?
Answer:
109
Step-by-step explanation:
pleace answer my qustion?!!!
Answer:
y=-2/5x+2
Step-by-step explanation:
use y = mx + b
m = slope = rise/run = 2/5
b = y-intercept when x is zero (0,y) = (0,2) = 2
since the line is going down, the slope has to be negative.
answer: y = -2/5(x) + 2For 10 points answer please
Answer:
(x+1) (7x+8)
Step-by-step explanation:
7x2+(7+8)x+8
7x2+7x+8x+8
7x(x+1)8(x+1)
(x+1)(7x+8)
cos s=-2/5 and sin t=4/5, s and t are in quadrant II
find cos(s+t) and cos(s-t)
Answer:
•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25
•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25
cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗
sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5
why is no one answering me me??? :(
Answer:
hewo
Step-by-step explanation:
i dont know- probably bc they don't want to
Marco has a triangle with 2 angles that are each 65°. What is the measure of the third angle?
Answer:
50
Step-by-step explanation:
when u add all the angles of a triangle the sum should be 180.. so 65+65 is 130... then u have to subtract 130 from 180 which gives the final answer as 50
hope my ans helps
pls give brainlist
be sure to follow me
stay safe
Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and she works at that job 30 hours per week. How much money does she make per year?
Martha’s yearly income is $
Answer:
$28,080
Step-by-step explanation:
15*10=150/wk
150*52wks=7,800
13*30=390/wk
390*52wks=20,280
20,280+7,800=28,080