Answer:
x squared over 4 plus y squared over 8 equals 1
Step-by-step explanation:
The general equation of ellipse is given as;
(x²/a²) + (y²/b²) = 1
The coordinates of a foci are: (±c, 0) where;
c² = b² - a²
However, we know that equation of directrix is; x = ±a/e
Now, Directrix is given ±4
Thus, a/e = 4
a = 4e
We also know that c = ae from ellipse foci coordinates.
Thus, ae = 2
since ae = 2, then (4e)e = 2
4e² = 2
e² = 2/4
e = 1/2
Thus;
a = 4 × 1/2
a = 2
Since c² = b² - a²;
2² = b² - 2²
4 = b² - 4
b² = 8
From (x²/a²) + (y²/b²) = 1, we can put our values to get;
x²/4 + y²/8 = 1
CAN SOMEBODY PLEASE HELP ME?!
A line passes through point A(12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
PLEASE! PUT THIS IN POINT SLOPE FORM!
Answer:
y - 18 = -1.5(x - 12)
Step-by-step explanation:
A = (12, 18)
B=(1.25(12), 0.75(18)) = (15, 13.5)
Find slope: m = (13.5-18)/(15-12) = (-4.5)/3 = -1.5
Point slope form: y - y1 = m(x - x1)
Using point A as (x1, y1)
y - 18 = -1.5(x - 12)
Write the ratio 3/5 to 6 as a fraction in simplest form
Answer:
1/10
Step-by-step explanation:
To convert a ratio to a fraction, you divide the number on the left by the number on the right. This gets you (3/5)/6. When dividing fractions by whole numbers, you need to convert the whole number to a fraction. I converted 6 to 6/1, so that gave me (3/5)/(6/1). You then multiply the top number by the bottom number to get the numerator of the answer, and the middle 2 numbers multiplied is the denominator. The answer is (3x1)/(5x6), or 3/30, which can be simplified to 1/10.
QRST is a rectangle. If RT = 4x - 16 and SQ = x + 5, find the value of x.
Answer:
The value of x is 7.
Step-by-step explanation:
Both RT and SQ are diagonals of the rectangle, so they have the same measure.
We have that:
[tex]RT = 4x - 16, SQ = x + 5[/tex]
Since they are equal:
[tex]4x - 16 = x + 5[/tex]
[tex]4x - x = 5 + 16[/tex]
[tex]3x = 21[/tex]
[tex]x = \frac{21}{3}[/tex]
[tex]x = 7[/tex]
The value of x is 7.
Find the unknown measure ASAP please....
Answer:
The unknown measure is 12.
Step-by-step explanation:
This is because the triangle is an equilateral triangle, meaning that all sides are the same.
What is the distance between -6 and 4 on a number line? Show your work.
Answer:
10
Step-by-step explanation:
First you add 6 to get to 0 on the number line. Then you add 4 to get to your final destination which is 4. You add them together to get 10.
Please answer this correctly without making mistakes
Answer: without simplifying
12 cups 1 fluid ounces,
Step-by-step explanation:
help people if you ask what is the blurd number is 1/2
Step-by-step explanation:
a) 2+ (3.5kg × number of week respectively) :*assuming 2kg collected for c tree is included
b) y=2+3.5x
c) (26.5kg-2kg)÷ 3.5kg= 7 weeks
d) ???
Solve the Equation: 10 = 1(x-19)
Answer:
x=29
Step-by-step explanation:
1x-19=10
1x=29
Which statement describes a function that is not linear
Answer:
it would be A because if you repeat an x value it can cause it to be a a non-function
What is the value of (4-2)3-3x4
Answer:
The answer is -4.
Step-by-step explanation:
It is -4 using the method of PEMDAS. Subtract 4 and 2 together in the parentheses to get 2. Multiply to the third root power to get 8. Then, multiply -3 by 4 together to get -12. Finally, subtract 12 from 8 to get -4 as your final answer.
The local fitness center is running two different monthly payment options to attract new customers. The options are shown below.
What is the rate of change for the plans and at what number of visits would the plans cost the same amount?
Answer: The rate is increasing upwards, if that is what you were asking?
Step-by-step explanation: Let me know if you need anything else, please :)
The rate of change for payment option 1 is 1 and for payment option 2 is 0.25.
At 4th visit the cost of both the plans will be same.
What is the slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.
We know the slope m = (y₂ - y₁)/(x₂ - x₁).
Payment option 1 has two points (0, 2) and (2, 4).
Slope(m₁) = (4 - 2)/(2 - 0).
Slope(m₁) = 2/2
Slope(m₁) = 1.
4 = 2(1) + b.
b = 2.
y = x + 2.
Payment option 2 has,
$0.25 every visit is $(1/4) and it is the rate of change or the slope.
y = 0.25x + 5.
The number of visits when the cost will be equal is when we'll equate these two equations,
x + 2 = 0.25x + 5.
x - 0.25x = 5 - 2.
0.75x = 3.
x = 3/0.75.
x = 4.
At 4 visits the cost of each plan will be the same.
learn more about lines and slopes here :
https://brainly.com/question/16180119
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Which of the following numbers is not a factor of 432?
Answer:
Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216. There are 19 integers that are factors of 432. The biggest factor of 432 is 216.
Those are the factors of 432
Step-by-step explanation:
Nori had 2 1/12 bags of apples. He used 1 5/12 bags of apples to make pies How many bags of apples does Nori has left
Answer:
3 1/2
Step-by-step explanation:
Answer is 8/12.
Mixed number Fraction:
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
(Here),
Nori had [tex]2\frac{1}{12}[/tex] bags of apples.
Given, he used [tex]1\frac{5}{12}[/tex] bags of apples.
Nori left = [tex]2\frac{1}{12}[/tex] - [tex]1\frac{5}{12}[/tex]
=> (25 / 12) - (17 / 12)
=> 8 / 12 => (2 / 3)
Learn more about Mixed fractions here:
https://brainly.com/question/24901550?referrer=searchResults
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Write the equation for an ellipse with the center at the origin, a vertical major axis of length 30, and a horizontal minor axis of length 16.
Answer:
C
Step-by-step explanation:
hope that helps
Answer:
B
Step-by-step explanation:
a = 30 b = 16
x²/b² + y²/a² = 1
x²/16² + y²/30² = 1
x²/256 + y²/900 = 1
Is the whole number of .24 24?
Answer:
No, it's not.
Step-by-step explanation:
A decimal number will not make up a whole number. A whole number would be like 3 or 5 for example and not .24 because it makes up a partial number.
Answer:
No, it's not.
Step-by-step explanation:
this will only end up in a fraction
Write an expression that represents h decreased by 5.
Answer: h - 5
Step-by-step explanation:
h decreased by 5
h - 5
I'm sorry TnT I don't really know how to explain this but I'm 100% sure my answer is correct. Hope it helped!
Answer:
see explanation
Step-by-step explanation:
h is decreased by 5
5-h
For every 5 cars in a parking lot there are 6 trucks. What is the ratio of cars to trucks in the parking lot?
Answer:
The answer is 5:6 if you need to simply then it would be 10:12
Step-by-step explanation
Hope this helps!
Answer:
5:6 10:12
Step-by-step explanation:
5:6 10:12
complete the statement to describe the expression (a+b+c)(d+e+f).
the expression consists of ? factors, and each factor contains ? terms.
Answers:
the expression consists of 2 factorseach factor has 3 terms==============================================
Explanation:
The two factors are (a+b+c) and (d+e+f). A factor is a part of multiplication. So in general if we multiply x and y, then x and y are factors to lead to the product x*y.
The expression a+b+c has three terms. Each term is separated by a plus sign.
The expression d+e+f also has three terms.
How do I deal with family problems? Please help
Answer:
kill them. babsbvsvzvsbs
simplify the expression 6(y - 2)
Answer:
6y-12
Step-by-step explanation:
Answer:
6y-12
Step-by-step explanation:
6(y-2) = 6y - 12 by distributive property.
I hope this helped, please give brainliest if this is correct! Thank you!
write an equation of the line with a slope of 2 and y-intercept of 9 y=
Answer:
[tex]y = 2x + 9[/tex]
Step-by-step explanation:
This is so because the slope of a line is the same as the gradient, hence m=2
And y-intercept is the same as c in the formula y=mx+c
M(6.–8) is the midpoint of AB. The coordinates of point A are (1.–3).
What are the coordinates of B? Write your answer as an ordered pair in the form (x,y).
Answer:
(11, -13)
Step-by-step explanation:
(1 + x)/2 = 6
1 + x = 12
x = 11
(-3 + y)/2 = -8
-3 + y = -16
y = -13
plz help me i beg of uuuuuuuuu???
Answer:
7/4
Step-by-step explanation:
mary got the following scores in math: 56% 70% 65% 94% 64%. what is the mean(average) score?
PLS HELP WILL MARK BRAINLIST
Determine which is the better buy. (picture below)
Answer:
Cheese B
Step-by-step explanation:
Find the cost of 1 slice for Cheese A:
Set up a proportion: [tex]\frac{3.59}{10} = \frac{x}{1}[/tex] Cross multiply, then divide: 3.59 × 1 = 3.59, 3.59 ÷ 10 = 0.359So, the cost of 1 slice of Cheese A is $0.359Find the cost of 1 slice for Cheese B:
Set up a proportion: [tex]\frac{5.12}{16} = \frac{x}{1}[/tex] Cross multiply then divide: 5.12 × 1 = 5.12, 5.12 ÷ 16 = 0.32So, the cost of 1 slice of Cheese B is $0.32Make a conclusion:
Because $0.32 is less than $0.359, Cheese B is the better buy.
I hope this helps!
Add the mixed number
Answer: 3 7/14 + 2 12/14 = 5 19/14
Step-by-step explanation:
Find the LCM of the denominator.
2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
7 = 7, 14, 21, 28, 35
3 1/2 = 3 7/14
2 6/7 = 2 12/14
3 7/14 + 2 12/14 = 5 19/14
Hope that helped!
What word describes the slopes of the line
Answer:
Positive
Step-by-step explanation:
There are a couple ways we can go about this.
First, we can see that as x increases, so does y, so that means its positive
For perspective, if x is the amount of time and y is the number of sales, we can see that the sales are going up and not going down or staying at the same place
If you wanna check your work on that, you can plot two points and find the slope using y1-y1/x1-x2 and the slope will be positive.
We can also use the process of elimination, we know it can't be zero because it's not a straight, horizontal line and we know its not undefined because it isn't a straight vertical line, so it's between negative and positive, and since the line is going up, that means that it's positive.
What is the value of p?
Step-by-step explanation:
a 43
hope it helps
your welcome
graph the line with slope -3 and y-intercept 1.
Answer:
:)
Step-by-step explanation:
Which graph shows a proportional relationship between the number of hours of renting a snowboard and the total amount spent to rent the snowboard? (5 points)
Answer:
See the attachment.
Step-by-step explanation:
The line of a proportional graph always passes through the point of origin, (0, 0).
Also, a proportional graph is a straight line that do not bend.
Therefore, the graph that shows the proportion is the first graph. See attachement.