Answer:
Length: 48
Width: 12
Step-by-step explanation:
Substition
l - 2w = 24
I = 60 - w
60 - w - 2w = 24
60 - 3w = 24
-3w = -36
w = 12
Substitute it into the equation to get the length.
l = 60 - 12
l = 48
Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
through the points (-3, 1) and (2,-2) is
(A) 5x2 + 3y =32 (B) 3r? + 5y = 32 (C) 5x° - 3y2 = 32 (D) 3x* + 5y? + 32 = 0
Equation of the ellipse = 3x² + 5y² = 32
Step-by-step explanation:Given:The centre of the ellipse is at the origin and the X axis is the major axisIt passes through the points (-3, 1) and (2, -2)To Find:The equation of the ellipseSolution:The equation of an ellipse is given by,
[tex]\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1[/tex]
Given that the ellipse passes through the point (-3, 1)
Hence,
[tex]\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1[/tex]
Cross multiplying we get,
9b² + a² = 1 ²× a²b²a²b² = 9b² + a²Multiply by 4 on both sides,
4a²b² = 36b² + 4a²------(1)Also by given the ellipse passes through the point (2, -2)
Substituting this,
[tex]\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1[/tex]
Cross multiply,
4b² + 4a² = 1 × a²b²a²b² = 4b² + 4a²-------(2)Subtracting equations 2 and 1,
3a²b² = 32b²3a² = 32a² = 32/3----(3)Substituting in 2,
32/3 × b² = 4b² + 4 × 32/332/3 b² = 4b² + 128/332/3 b² = (12b² + 128)/332b² = 12b² + 12820b² = 128b² = 128/20 = 32/5Substituting the values in the equation for ellipse,
[tex]\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1[/tex]
[tex]\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1[/tex]
Multiplying whole equation by 32 we get,
3x² + 5y² = 32
Hence equation of the ellipse is 3x² + 5y² = 32Sydney says the slope of this line is 6/4
.
Deja says, "No, the slope of this line is 1.5"
Who is correct?
Sydney
Deja
Both
Neither
Answer:
Both
Step-by-step explanation:
Bc, 6/4 is equal to 1.5
Answer:
Both
Step-by-step explanation:
If you think about it, 6/4 is the same thing as 1.5, 6/4 is in the fraction form and 1.5 is in the decimal form. So, Deja and Sydney are both correct.
Hope this helps :D
27 is what percent of 18.75 it is asking for a percent answer I’ve tried 44%, 144, 506.25
Answer:
144%
Step-by-step explanation:
Answer:
144%??
Step-by-step explanation:
thats the answer man
HELP HURRY HURRY HURFY HURRY HURRY
Answer:
3
Step-by-step explanation:
y=7-4
y=3
I think the answer is three..... buuuuuuuut
(Please help) Based on the equation you wrote in part 1, complete the table below (equation is f = 1000t)
Number of tigers | Area (Square feet)
1 :
2 :
3 :
4 :
Answer:
1,000
2,000
3,000
4,000
Step-by-step explanation:
just took the test got it right
Answer: I got the sample answer correct
Step-by-step explanation:
the edmentum answer
Y’all, lord have mercy
How am I in highschool, yet I don’t know how to solve this without a calculator
Answer:
4
Step-by-step explanation:
Answer:
Answer of this qn is. 4 hope it help s
The multiplicative inverse of 7^-2 is
1/7
1/7^2
7^2
7
Answer:
the answer is 1/7
Step-by-step explanation:
I hope it helps you
Easy ! Hurry !
Very easy
Answer:
13Step-by-step explanation:
Add 6 to both sides.
3m−6+6=33+6
3m=39
Divide both sides by 3.
3m/ 3 = 39 /3
m=13
Answer:
[tex] \huge \: x = 13[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:3m-6=33to solve:xlet's solve:[tex]step - 1 : define[/tex]
[tex]3m-6=33[/tex]
[tex]step - 2 : \\ add \: 6 \: to \: both \: sides[/tex]
[tex]3x - 6 + 6 = 33 + 6[/tex]
[tex]3x = 39[/tex]
[tex]step - 3 : \\ divide \: both \: sides \: by \: 3[/tex]
[tex] \frac{3x}{3} = \frac{39}{3} [/tex]
[tex] \huge\therefore \: x = 13[/tex]
Given the equation 2x + 4 = 4x - 2, select the reasoning that correctly solves for x.
1) Add 2, subtract 2x, then divide by 2.
2) Add 2, subtract 4x, then divide by -2.
3) Subtract 4, subtract 2x, then divide by-2.
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
option A.
Step-by-step explanation:
2x + 2 + 4 = 4x - 2 + 2
2x - 2x + 6 = 4x - 2x
3 = x OR x = 3
Solve for x in the diagram below. Will mark brainliest if your answer is correct!♡
Here are two rectangles.
6 cm
9 cm
8 cm
12 cm
Complete this sentence.
The two rectangles are similar and the scale factor is
Answer: The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
Step-by-step explanation:
a pair of shoes originally priced at $120 are on sale for 89.99 what percent discount was applied ?round to the nearest whole percent.
Answer:
25%
Step-by-step explanation:
Divide 89.99 or 90 (since you are rounding) by 120, and you get .7499 or 75%. You have 25% ($30) as the discount because 90 is 75% of $120.
PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!
When the original price and discounted prices are known, how can we find the percent markdown?
Step-by-step explanation:
The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.
1. If you have a McDonalds order where the subtotal comes to
$29.46 and you give a 15% discount coupon, how much will the
new subtotal be?
(PLEASE HELP ME I BEG OF YOU)
Kevin and cannot eat on $135 a month salary there any commission for each sale they make and the ratio of Kevin and Kenneth commission is 3:4 if they sell Products worth $610 each in March and Kevin Owens at 12% commission how much did each of them??
A. Kenneth makes $232.60
B. Kevin makes $208.20
C. Kevin makes $73.20
D. They both make $440.00
E. Kenneth makes $219.60
Answer:
I think the asnwer A or B !!
Step-by-step explanation:
8=−2/5c
Help me
I’m single ready to mingle
Answer:
-20
Step-by-step explanation:
First, you divide both sides by -2/5, which would get you c = 8 * -5/2 (Because when you divide, you multiply by the reciprocal). 8 * -5/2 is equal to -20. The answer is -20.
x-3y=7
2х-6у=12
Solve the following systems
Answer:
Step-by-step explanation:
this system doesnt have any solutions
if you multiply the first equation by 2 you will get
2x-6y=14
second equation is
2x-6y=12
the result will -12=14
no solutions
are 2x3 and 4x4 like or unlike terms
Answer:
They are like terms
Step-by-step explanation:
Answer:They are like terms!
Step-by-step explanation:
hey does anyone know what the heck type of questions they ask on a DBA for math on module 05.11? it's my first DBA
Which number is NOT in the solution set of x + 6 < 14?
Answer:
x < 8
Step-by-step explanation:
x + 6 < 14
x < 14-6
x < 8
hope it help u
plz follow me
16. In the figure below, lines A and B are parallel.
Answer:
the angle measurement is 75
Step-by-step explanation:
Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many
hours did Sidney skate in all?
Answer:
the number of hours does sidney skate in all is 9.8 hours
Step-by-step explanation:
The computation of the number of hours does sidney skate in all is as follows:
= Last month + this month
[tex]= 1 \frac{1}{10} + 8 \frac{7}{10}\\\\= \frac{11}{10} + \frac{87}{10}\\\\= \frac{98}{10}[/tex]
= 9.8 hours
Hence, the number of hours does sidney skate in all is 9.8 hours
ill give brainiest and 30 points
Answer:
50 feet
Step-by-step explanation:
According to the Pythagorean theorem a^2+b^2=c^2 and if you put it into this equation it is 30^2 + 40^2 =50^2 which does work out
I dont feel like typeing right now (its 50 )So here's my answer.
consider the expression 7 - 4y. Why would the co-efficient be -4 and not 4?
Because the answer to X is a negative number, and negative numbers are needed for negative answers
Answer: because it won’t make sense if it was 74y it has to have an equation or expression.
Step-by-step explanation: I’m not that smart and I have no friends on brainly but hope it helps and makes your day.
When I multiply a - and +, the answer will be a?
Answer:
it will me a negative (-)
Find the value of x when 6 - 4x = 7X-9x - 4.
The value of x is ..
Answer:
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?
Answer:
The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?
Length and width of the rectangle are 4 cm and 2.5 cm respectively.
Given in the picture,
A rectangle with the area of 10 cm².Expressions representing the lengths of the rectangle as(4x + 2) cm and (10x - 1) cm
By the property of a rectangle, measure of opposite sides of a rectangle are always equal,
(4x + 2) = (10x - 1)
(4x + 2) - 4x = (10x - 1) - 4x
2 = 6x - 1
2 + 1 = (6x - 1) + 1
3 = 6x
[tex]x=\frac{3}{6}=\frac{1}{2}[/tex]
Now we can get the length of the given rectangle by substituting the value of 'x' in (10x - 1) or (4x + 2).
(10x - 1) = [tex]\frac{10}{2}-1[/tex]
= 4 cm
Since, area of a rectangle is given by the expression,
Area = Length × width
By substituting the values in the expression,
10 = 4 × width
Width = [tex]\frac{10}{4}[/tex]
= 2.5 cm
Therefore, length and width of the rectangle are 4 cm and 2.5 cm respectively.
Learn more,
https://brainly.com/question/12984721
Ehhhh...?
I don’t understand this the rest I semi know but uh .,.
Answer:
The correct answer would be 6.53
There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example, you can take two 6-inch sticks and one 10-inch stick to make a 22-inch stick (6 + 6 + 10 = 22).How many different lengths of stick can be made out of at least one of the sticks?
Simplify by expressing with radicals. ^6radical x^2 y^6