Answer :
[tex]x = - 6 \\ x = 1[/tex]
Write an equation for the following: a) The ellipse has foci (2, 0) and (–2, 0) and vertices (4, 0) and (–4, 0). b) The ellipse is centered at the origin, has axes of lengths 8 and 4, its major axis is horizontal.
Answer:
a) [tex]\frac{x^2}{16} +\frac{ y^2}{12} = 1[/tex]
b) [tex]\frac{x^2}{64} +\frac{ y^2}{16} = 1[/tex]
Step-by-step explanation:
a)
The vertices are located in the x-axis, so we have a horizontal ellipse.
The equation of an ellipse is given by:
[tex]\frac{(x - h)^2}{a^2} +\frac{ (y - k)^2}{b^2} = 1[/tex]
The coordinates of the foci and the vertices are given by:
Foci: [tex]F(h \pm c, k)[/tex]
Vertices: [tex]V(h\pm a, k)[/tex]
Comparing the coordinates with the values given, we have that:
h = 0, k = 0, c = 2, a = 4
To find the value of b we can use the following equation:
[tex]c^2 = a^2 - b^2[/tex]
[tex]4 = 16 - b^2[/tex]
[tex]b^2 =12[/tex]
So the equation of the ellipse is:
[tex]\frac{x^2}{16} +\frac{ y^2}{12} = 1[/tex]
b)
If the ellipse is centered at the origin, we have:
h = 0, k = 0
The major axis is 'a' and the other axis is 'b', so we have:
a = 8, b = 4.
So the equation is:
[tex]\frac{x^2}{64} +\frac{ y^2}{16} = 1[/tex]
Help !!!! Match the written mathematical operation to the equivalent symbolic form
Answer:
The matched pairs are:
(A, 4), (B, 1), (C, 2) and (D, 3)
Step-by-step explanation:
The complete question is:
Match each description of an algebraic expression with the symbolic form of that expression :
A. 2 terms; variables = x and y
B. 3 terms; variables = x and y; constant = 3
C. 2 terms; variable = x; constant = 4.5
D. 3 terms; variables = x and y; constant = 2
1. x - 2y + 3
2. 4.5 - 2x
3. 4.5x + 2 - 3y
4. 4.5y - 2x
Solution:
A. 2 terms; variables = x and y ⇒ 4. 4.5y - 2x
B. 3 terms; variables = x and y; constant = 3 ⇒ 1. x - 2y + 3
C. 2 terms; variable = x; constant = 4.5 ⇒ 2. 4.5 - 2x
D. 3 terms; variables = x and y; constant = 2 ⇒ 3. 4.5x + 2 - 3y
Planes A and B intersect.
Which describes the intersection of line m and line n?
m
O point w
O point X
O point Y
O point Z
Answer:
Hello!
____________________
Your answer would be (A) O point W.
Step-by-step explanation: Intersection of the two lines is defined as the point where the two lines cross or meet each other.
It is given that the lines m and n intersect each other, which means that they must be intersecting each other at some point.
From the figure, it can be seen that in plane A, the lines m and n intersect each other at point W, thus point W is the point of intersection of the two line m and n.
Hence, option A is correct.
Hope this helped you!
Answer: point w hope this helped
Step-by-step explanation:
The Egyptians used a ramp
that could hold 1,000 pounds.
If 6 people got on the ramp
and they weighed 780 pounds
total. What percentage of the
ramp's weight capacity is still
available?
Answer:
22%
Step-by-step explanation:
Well if the ramp can hold 1000lbs and 6 people all weight 780 in total (they must be really fat lol, but anyway) we can make the following fraction.
780/1000
So now we simplify the fraction to 39/50.
And do 39 / 50 = .78
To make that a percent we move the decimal point 2 times to the right so 78% of the ramp‘s capacity is being used meaning there is stil 22% capacity left.
The graphs below have the same shape.What is the equation of the red graph ?
Answer:
B. f(x) = 1 - x²
Step-by-step explanation:
Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².
Answer:
B. F(x) = 1 - x^2
Step-by-step explanation:
The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.
F(x) = G(x) - 3
F(x) = 4 - x^2 - 3
F(x) = 1 - x^2
Simplify the expression -3÷(-3/5)
Answer:
the answer is 5 if it was helpful please give 5 star
mr Kobe has 30 students in his class ha has twice as many girls and boys what are the ratios to total students
Answer:
Step-by-step explanation:
2:3 is the correct answer
I hope this helps you
find the value of x in the isoscleles triangle sqrt45 and altitude 3
Answer:
[tex]c.\hspace{3}x=12[/tex]
Step-by-step explanation:
Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.
You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached. As you can see:
[tex]x=2a[/tex]
And we can find a easily using pythagorean theorem:
[tex](\sqrt{45} )^{2} =3^{2} +a^{2}[/tex]
Solving for a:
[tex]a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\[/tex]
[tex]a^{2} =36\\\\a=\sqrt{36} \\\\a=6[/tex]
Therefore:
[tex]x=2a\\\\x=2(6)\\\\x=12[/tex]
What is the range of the function?
1
2
2
3
9
4
16
A. (2, 4, 9, 16)
B. {1, 2, 3, 4, 9, 16)
c. {1, 2, 3, 4)
D. {1,2}
Answer:
Im pretty sure its B
Step-by-step explanation:
our boss is a biologist who needs wood samples from long-leaf pine trees with a fungal disease which is only visible under a microscope, and she sends you on an assignment to collect the samples. She wants at least 50 different diseased samples. She tells you that approximately 28% of long-leaf pine trees currently have the fungal disease. If you sample 160 long-leaf pine trees at random, what is the probability you’ll have at least 50 diseased samples to return to your boss? (Use the normal approximation to calculate this probability and chose the closest answer to the question.)
Answer:
Step-by-step explanation:
In this scenario, the probability of success, p is 28% = 28/100 = 0.28
Number of samples, n = 160
Probability of failure, q = 1 - p = 1 - 0.28 = 0.72
Mean,µ = np = 0.28 × 160 = 44.8
Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68
Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as
P(x ≥ 50) = 1 - P(x < 50)
For P(x < 50)
z = (50 - 44.8)/5.68 = 0.91
Looking at the normal distribution table, the probability corresponding to the z score is 0.819
Therefore,
P(x ≥ 50) = 1 - 0.819 = 0.181
NEED ANSWER ASAP! plz someone answer ASAP
Answer:
The value of c is 2
Step-by-step explanation:
p(x) = cx³ - 15x - 68
Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.
x - 4 = 0
x = 4
Substitute it into the above expression
That's
c(4)³ - 15(4) - 68 = 0
64c - 60 - 68 = 0
64c = 60 + 68
64c = 128
Divide both sides by 64
c = 2
Hope this helps you
Answer:
h
Step-by-step explanation:
b
Which statement is true about the ranges for the box plots? A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix.
*The box plots are shown in the attachment
Answer/Step-by-step explanation:
Range is the difference between the largest value of a data set and the lowest value in that data set.
In a box plot, the highest value is located at the end of the whisker to our right, while the lowest value is located at the beginning of the whisker of the box plot at our left.
For Crackers, the range = 100-70 = 30
For Cookies, the range = 115-70 = 45
Therefore, we can conclude that the range value of the number of calories in crackers (30) is less/lower than that of cookies (45).
Answer: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
I WILL MARK BRAINLIEST IF ANSWER IN LESS THAN 5 MINUTES!!!!!!! tory is buying bananas. she has 15 dollars and bananas are 2.45 each. how many bananas can she buy?
Answer:
6 bananas
Step-by-step explanation:
Divide the dollars by the price for bananas
15/2.45
6.12244898
Round down because she cannot buy part of a banana
6 bananas
HELPPPP ME ASAP PLEASEEE DO STEP BY STEPPPP Distribute and simplify the following: x(3x + 2)(-2x + 1)
Answer:
-6x^3 - x^2 + 2x
Step-by-step explanation:
We can first start with distributing the x using the distributive property
(3x^2 + 2x)(-2x+1) Remember that when x is multiplied with 3x, it increases the exponent to 3x^2)
Now we use FOIL to distribute (First, Outside, Inside, Last)
-6x^3 + 3x^2 - 4x^2 + 2x
We can combine the like terms (3x^2 and - 4x^2) into -x^2
-6x^3 - x^2 + 2x
a man is four times as old as his son in five years time he will be three times as old as his son what is the present age of the son in years
I would start by setting up a chart like I did below.
Label one column age now and the other age in 5 years.
Since we don't know the son's age we use x.
We do know that the man's age is 4 times the son's age.
So the man's age will be 4x.
In the age in 5 year column, we add 5 to their current ages.
Now set up our equation.
Since it says "in five years" we use information in second column.
In 5 years time, he, "4x + 5", will be, equals,
3 times as old as his son, "3(x + 5)".
So we have 4x + 5 = 3(x + 5).
Solving from here, we find that x = 10.
So the son is 10 and the man is 4 times his age or 40.
Can somebody explain this to me and the answer I don’t get this at all
Answer:
a)~5572.45 (cm^3)
b)~1519.76 (cm^2)
Step-by-step explanation:
A volleyball has a diameter d = 22 cm
=> Its radius r is r = d/2 = 22/2 = 11 cm
a) Its volume is calculated by:
V = (4/3) x pi x r^3
with p = ~3.14 and r = 11 cm
=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)
b) Its surface area is calculated by:
A = 4 x pi x r^2
with p = ~3.14 and r = 11 cm
=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)
please help i will give you brainliest if you give me the right answer and don't copy from online or another answer source from on here!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A horror movie ticket costs $6.50 per child. Which equation can be used to calculate the horror ticket price, M, for n children?
Answer:
The answer would be M = 6.5n because 6.50 per child would be 6.50 * n which can be simplified to 6.50n or 6.5n.
Answer:
correct answer is above :>
Step-by-step explanation:
The builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days. Tax on building materials is 5%. What is the total bill including discounts and taxes?
Answer:
$1340.49
Step-by-step explanation:
From the attached image
Subtotal Cost of Purchased Items
[tex]= (20 \times 16.69)+(2 \times 20.78)+(2 \times 15.58)+(6 \times 21.38)\\+(118 \times 6.60)+(500 \times 0.22)+(10 \times 8.44)+(1 \times 150)\\\\=\$1658[/tex]
Since the builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days.
Discount = 23% of $1658 = 0.23 X 1658 =$381.34
Total (Less Discount) = 1658-381.34 = $1276.66
Tax on building materials is 5%.
Therefore:
Tax = 5% of $1276.66=0.05 X 1276.66
Tax=$63.83
Therefore, the total bill:
=$1276.66+63.83
Grand Total =$1340.49
PLZ HELP! QUICK! WILL MARK BRAINLIEST!!! 20 POINTS!!! A portion of the Quadratic Formula proof is shown. Fill in the missing statement.
Answer:
D.
Step-by-step explanation:
After the third step, take the square root of both sides.
Third Step:
[tex](x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}[/tex]
Thus, the fourth step is:
[tex]\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
The left side cancels:
[tex](x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
D.
Answer:
x + [tex]\frac{b}{2a}[/tex] = ±[tex]\sqrt \frac{b^{2} - 4ac }{4a^{2} }[/tex] aka choice D
Step-by-step explanation:
Which triangle correctly shows that the side opposite the larger angle is the larger side?
Answer:
The answer is C
I turned it in and it was correct
Step-by-step explanation:
Please mark brainliest
Answer:
c
Step-by-step explanation:
Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral below.
Quadrilateral R S T Q. Angle R is 140 degrees, angle S is 94 degrees, angle T is 79 degrees, and angle Q is 47 degrees.
Which pair of measurements are possible if they are congruent figures?
Measure of angle W = 47 degrees and Measure of angle X = 94 degrees
Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees
Measure of angle W = 47 degrees and Measure of angle Y = 140 degrees
Measure of angle X = 140 degrees and Measure of angle = 94 degrees
Answer:
None of these
Step-by-step explanation:
The congruent occurs when the two diagrams are matched with each other in terms of the same sides and same angles
In other terms, we can say that if both quadrilaterals contain the same sides and same angles so we called as congruent
As we can see in the figure that there is only angles are given but not the sides that are totally different
Hence, none of these is the right answer
Answer:
D.) Measure of angle X = 140 degrees and Measure of angle = 94 degrees
Step-by-step explanation:
This is an example of a ____transformation
Answer: Translation
Step-by-step explanation:
The shape its self has only shifted to the right. It hasn't been rotated or reflected.
Answer:
Translation
Step-by-step explanation:
defintion of translation: the process of moving something from one place to another.
The shpae is being moved to the right as shown by the arrow.
Find the total surface area in square kilometers, of the 3-dimensional
figure shown below.
Enter only a number as your answer.
[tex]\displaystyle\bf\\\textbf{We have a prism with a rectangular triangle base.}\\\\Base~area\!:~~Ab=\frac{3\times4}{2}=\frac{12}{2}=6~km^2\\\\Lateral~area\!:~~Al=(3+4+5)\times9=12\times9=108~km^2\\Total~area\!:~~At=2\times Ab+Al=2\times 6+108=12+108=\boxed{\bf120~km^2}\\[/tex]
How do I solve this?
Answer:
See below.
Step-by-step explanation:
[tex](5x^2y^3)^0\div(-2x^{-3}y^5)^{-2}[/tex]
First, note that everything to the zeroth power is 1. Thus:
[tex]=1\div(-2x^{-3}y^5)^{-2}=\frac{1}{(-2x^{-3}y^5)^{-2}}[/tex]
Distribute using Power of a Power property:
[tex]=\frac{1}{(-2)^{-2}(x^{-3})^{-2}(y^5)^{-2})}[/tex]
Make the exponents positive by putting them to the numerator:
[tex]=\frac{(-2)^2(x^{-3})^2(y^5)^2}{1}[/tex]
[tex]=\frac{4x^{-6}y^{10}}{1}[/tex]
Make the exponent positive by this time putting it to the denominator:
[tex]=\frac{4y^{10}}{x^6}[/tex]
The pic is here , just the question wouldn’t show up right. Any help ?
Answer:
its 4√2i i think
Step-by-step explanation:
Answer:
Answer:B
Step-by-step explanation:
You cannot tessellate six-sided regular polygons by themselves.
A. True
B. False
Answer:
This statement is B. False
Step-by-step explanation:
You CAN tesselate six-sided regular polygons by themselves therefore, this statement is FALSE.
Hope this helped! :)
Answer:
Step-by-step explanation:
find the height of a tree whose shadow is 42m long when the shadow of a man 1.8m tall is 2.4m long
Answer:
The ratio 1.8 : 2.4 can be rewritten as 3 : 4. We have to solve:
3 : 4 = x : 42
3 * 42 = 4x
x = 3 * 42 / 4 = 31.5
Josie ran a lap in 45.23 seconds.
Erica ran a lap in 43.11 seconds. How
much longer did it take Josie to rut
the lap?
Answer: 2.12 seconds
Step-by-step explanation:
From the question, we are informed that Josie ran a lap in 45.23 seconds while Erica ran a lap in 43.11 seconds.
To calculate the extra amount of time it took Josie to complete the lap, we subtract Erica's time from Josie's time. This will be:
= 45.23 seconds - 43.11 seconds
= 2.12 seconds
express -64/112as a rational number with denominator 7. plz explain
Answer:
Step-by-step explanation:
=-3.875/7. (divided by 16)
A recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?
Answer:
3 and 5/12
Step-by-step explanation:
To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.
Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.
The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal pieces.
It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.
Fractions are of two types:
Proper fraction: Where numerator < denominator. Improper fraction: Where numerator > denominator. These fractions are written in mixed form also.How to solve the question?In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.
We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.
We suppose the quantity of flour required to be x cups.
We know the quantity of sugar required = One-fourth cup.
This can be written as a fraction = 1/4 cup.
We know the total sugar and flour is three and two-thirds cups.
This can be written as a fraction = 3 2/3 cup = 11/3 cup.
Now, we know quantity of sugar + quantity of flour = total quantity
or, 1/4 + x = 11/3
or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.
Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
Learn more about fractions at
https://brainly.com/question/11562149
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