Answer:
Length of latusrectum =9=
a
2b
2
⇒b
2
=
2
9a
..... (i)
and e=
4
5
∵1+
a
2
b
2
=
16
25
∴1+
2a
2
9a
=
16
25
[from Eq. (i)]
⇒
2a
9
=
16
9
⇒a=8
On putting the value of a in Eq. (i), we get
b
2
=
2
9×8
=36⇒b=6
∴ Equation of hyperbola is
8
2
x
2
−
6
2
y
2
=1⇒
64
x
2
−
36
y
2
=1
Calculate the circumference of a rug having a diameter of 8ft
Answer:
C= 25.13ft
Step-by-step explanation:
To find the circumference use the formula C=2 * PI * R
we know that the diameter is 8 which means that the radius is half that amount therefore R=4
Now plug those numbers into the formula
C=2(pi)(4)
= 8(pi)
=25.13
PLEASE PLEASE HELP WILL MARK BRAINLIEST
Find the equation of the line in slope-intercept form through (−5, 6) with slope = 3
Answer:
The answer is
[tex] \huge y = 3x + 21[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (−5, 6) and slope = 3
The equation of the line is
[tex]y - 6 = 3(x + 5) \\ y - 6 = 3x + 15 \\ y = 3x + 15 + 6[/tex]
We have the final answer as
[tex]y = 3x + 21[/tex]
Hope this helps you
Answer:
The answer is y=3x+21
Step-by-step explanation:
I need help solving this problem
Answer:
18x^2 - 40x / 3
which shows the best use of the associative and commutative properties to make simplifying 2/7 - 17 + 6 - 5/7 + 1 easier?
Answer:
B
Step-by-step explanation:
:)
True or false to find the percent of a number we convert to a fraction or a decimal and then divide the number
true, when you convert to a decimal, you add a zero in the variable
Which of all the following inequalities is true for all real values of x?
Answer:
C. 1/(x^2 +1) > 0
Step-by-step explanation:
The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.
1/x^2 is undefined for x=0, so cannot be compared to zero.
The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.
1/(x^2 +1) > 0
Which of the following options have the same value as 20% of 45
Step-by-step explanation:
Answer:-The question says "20% of 45 ".
So, framing it , we get:-
[tex]\tt{\dfrac{20}{100}\times 45}[/tex]
So, solving it,
[tex]\tt{\dfrac{20\times 45}{100}}[/tex]
[tex]\tt{\dfrac{900}{100}}[/tex]
[tex]\tt{9}[/tex] is the answer.
Hope it helps :)
yavonee reads 14 pages in 28 mins, at this rate, how many pages does she read in 50 mins
Answer:
yavonee can read 25 pages in 50 minutes with the same rate.
Step-by-step explanation:
calcuate how may pages does yavonee read in 1 minute
14/28
= 1/2 or 0.5
0.5 * 50
= 25
In 50 minutes Yavonee can read 100 pages with a unit rate of 2 pages per minute.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Yavonee reads 14 pages in 28 mins.
∴ In 1 minute she reads (28/14) = 2 pages.
So, In 50 minutes she can read (2×50) = 100 pages.
learn more about the unitary method here :
https://brainly.com/question/28276953
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3. In a perspective drawing, the ratio of the distance from the vanishing point to the height
of a tree is 25/7.Write a proportion that could be used to calculate the height of a tree
that is drawn 60 centimeters from the vanishing point. Use your proportion to find the
height of that tree in the drawing.
Proportion:
Height:
4.In a perspective drawing, the ratio of the height of a stop sign to the distance from the vanishing point is 4/15.Explain how to find the distance from the vanishing point to place a stop sign that is drawn with a height of 6 inches.
Please help,I need to finish this missing assignment or I won’t get my phone back.
Answer:
if it helps try dividing those two numbers so like 25/7
which is parallel to y=8x + 4
a. 4x + 8
b. y=12x
c. y=8x-4
Answer:
C
Step-by-step explanation:
c is parallel because the slopes are identical
Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?
510 pesos equals 24.12 U.S. dollars.
So Priya bought a sweater for 24.12 U.S. dollars.
Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. What would Stacy spend if she bought 15 tickets?
Answer:
$52.50
Step-by-step explanation:
C = 3.5t
C = 3.5 (15)
3.5 × 15 = 52.5
C = $52.50
Write an equation in points-slope form of the line that passes through (7,-6) and has the slope m= 1/2
Answer: point-slope form is [tex](y -y_{1} ) = m(x - x_{1} )[/tex]
9.5 -(-6) = 1/2(0-7)
Step-by-step explanation: You can get a y-intercept by substituting the x and y values from the given coordinate into the slope-intercept form and solve for b.
y = mx + b
-6 = 1/2(7) + b
-6 = 3.5 + b
-9.5 = b Slope-intercept equation for this question would be y = x/2 - 9.5
Then use the coordinates of the y-intercept to create the point-slope equation
(-9.5 -[-6]) = 1/2(0-7)
Do i have to write something for E or do I leave it blank
Answer:
blank
Step-by-step explanation:
Answer:
Blank
Step-by-step explanation:
find two consecutive ODD numbers whose sum is 144.
Answer:
Smaller=x Larger=x+2
x+x+2=144
2x+2=144
2x+2-2=144-2
2x=142
2x/2=142/2
x=71
Smaller=71
Larger=73
Check: 71+73=144
Step-by-step explanation:
please mark me as the brainliest answer and please follow me for more answers to your questions.
Answer:
71 and 73
Step-by-step explanation:
First, set up an equation: let x be the smaller number, and let x+2 be the bigger one.
Then, since these two number's sum is 144, we can set up the equation x+(x+2) = 144.
Solve for x: 2x+2=144 -> 2x = 142 -> x = 71
As the smaller number is defined as x, we solved for the smaller number: 71. The bigger number is defined as x+2, so the bigger number is just going to be 2 more than the smaller number, which is 73.
Therefore, we arrive at our answers 71 and 73.
Identify the solutions to (2x - 4)(x + 10) = 0
Answer:
x = -2
Step-by-step explanation:
2x-4+x+10=0 combine like terms
3x + 6 = 0 subtract 6 from both sides
3x = -6 divide by 3
x = -2
Which of the following are factors of 12?
1 And 12
2 And 6
3 And 4
Answer:
id just learned this a month ago so i think its 2 and 6 i hope u get 100!
Step-by-step explanation:
Answer:
All three are correct.
Step-by-step explanation:
1x12 is 12, so #1 is correct.
2x6 is 12, so #2 is correct.
3x4 is 12, so #3 is correct.
PLEASSSS PLEAS HELPPPPP Use the function f ( x ) = 2 − 5 x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___
Given function:
f(x) = 2 - 5x
Table;
x f(x)
-2 12
-1 7
0 2
1 -3
2 -8
The function is f(x) = 2 -5x
For; x = -2; f(x) = 2 - 5(-2) = 12
f(x) = 2 - 5(-1) = 7
f(x) = 2 - 5(0) = 2
f(x) = 2 - 5(1) = -3
f(x) = 2 - 5(2) = -8
Answer:f(x) = 2 - 5(-2) = 12
f(x) = 2 - 5(-1) = 7
f(x) = 2 - 5(0) = 2
f(x) = 2 - 5(1) = -3
f(x) = 2 - 5(2) = -8
The function f ( x ) = 2 − 5 x.
Plug in- f ( 2 ) = 2 − 5x2
Simplify
What the standard form 2.456
.2.456×10^ 11.thisis the answer
Describe your thinking and the steps taken when developing an
algebraic representation for the sum of the first t terms of a
linear sequence.
Let's see what to do buddy...
_________________________________
Step (1)
Suppose we want to find the sum of numbers from 1 to n.
To do this, we use the following method.
By writing the sum of numbers from 1 to n
, Then we write the sum of numbers n to 1 below it, see :
[tex]s = 1 + 2 + 3 + ... + n[/tex]
[tex]s = n + (n - 1) + (n - 2) + ... + 1 \\ [/tex]
Now we add the sentences of the above two phrases, peer to peer like this :
[tex]1 + n = n + 1 \\ [/tex]
[tex]2 + n - 1 = n + 1[/tex]
[tex]3 + n - 2 = n + 1[/tex]
And the others.....
So we have :
[tex]2s = ( n + 1) + (n + 1) + ... + (n + 1) \\ [/tex]
We had n numbers to sum so we have :
[tex]2s = n \times (n + 1)[/tex]
Divided the sides of the equation by 2
[tex]s = \frac{n \times (n + 1)}{2} \\ [/tex]
Remember this step I will use it again.
_________________________________
Step (2)
What does the linear sequence mean ?
The linear sequence is the sequence which any terms created by the sum of previous term with constant.
I name that constant value d.
According to above :
[tex]t(2) = t(1) + d[/tex]
And
[tex]t(3) = t(2) + d [/tex]
[tex]t(3) = t(1) + d + d[/tex]
[tex]t(3) = t(1) + 2d[/tex]
I have a question ;
[tex]3 - 1 = 2[/tex]
Is it correct ?
If it is correct we have :
[tex]t(3) = t(1) + (3 - 1)d[/tex]
WOW we found a thing ;
Put n instead of 3 :
[tex]t(n) = t(1) + (n - 1)d[/tex]
_________________________________
Step (3)
Stop right here.
Let's go to find the sum of the n first terms of the linear sequence.
Do you remember what did we do in step(1) ? Of course you do.
Let's do it again.
[tex]s = t(1) + t(2) + t(3) + ... + t(n) \\ [/tex]
[tex]s = t(n) + t(n - 1) + t(n - 2) + ... + t(2) + t(1) \\ [/tex]
According to the thing what we found in step(2) we have :
[tex]s = t(1) + ( \: t(1) + d \: ) + ( \: t(1) + 2d \: ) + ... + ( \: t(1) + (n - 1)d \: ) \\ [/tex]
[tex]s = ( \: t(1) + (n - 1)d \: ) + ( \: t(1) + (n - 2)d \: ) + ... + t(1) \\ [/tex]
Sum the two above equation's terms like this:
[tex]t(1) + t(1) + (n - 1)d = 2t(1) + (n - 1)d \\ [/tex]
And
[tex]t(1) + d +t(1) + (n - 2)d = 2t(1) + d(n - 2 + 1) = 2t(1) + (n - 1)d \\ [/tex]
And the others like this.
We had n terms so we sumed n terms.
So we have :
[tex]2s = n \times ( \: 2t(1) + (n - 1)d \: )[/tex]
Divided the sides of the equation by 2
[tex]s(n) = \frac{n}{2} \times ( \: 2t(1) + (n - 1)d \: ) \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
The distance from the floor of one level of the building to the floor of the level above it is 9 ft and 3/8 in. If the distance from the floor to the ceiling is 8 ft 2 and 1/2 in, how thick is the space between the ceiling of one floor and the floor of the level above it.
Answer:
Hope this solution helps you
CAN SOMEONE HELP ASAP
Answer:
a = 3, b = -4
Step-by-step explanation:
You need to combine like terms in the expression. In the end, you get 3 - 4i. That's in the form of a + bi. So a = 3 and b = -4
Determine if the following function is Even,Odd or neither. f(x) =4x+3
Answer:
It is odd
Step-by-step explanation:
For example let's substitute 1 for x
f(x) = 4(1)+3
4+3
f(x) = 7 this is odd
Let's substitute 2
f(x) = 4(2)+3
8+3
f(x) = 11 this is odd
This means no matter what you substitute for x, it will be odd
Hope this helps!
Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am.
It will take her an hour from her home to get to Euston Rail
Station, from where she will get a train to Birmingham.
The train journey from Euston
to Bimingham is an hour and 10 minutes.
Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour.
The meeting venue in Birmingham is a 5-minute walk from the station.
What is the latest time that Annabelle can leave home, if she is to make it on time for
the meeting in Birmingham ?
Show your work.
HELP ME PLEASE!!!
DUE TODAY. THANK YOU SO MUCH.
Answer:
The conference in Birmingham is at 10.30am.
She has to leave at 08.00 am from her home.
Step-by-step explanation:
Because
• Time to get Euston Rail Station is 1 hour so she will be at station at 09.00 am.
• Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. Which means she will get the train at 9.05 am.
• The train journey from Euston to Birmingham is an hour and 10 minutes so she will reach Birmingham station at 10.15 am.
• She will reach the meeting venue in Birmingham at 10.20 am as there is a 5-minute walk from the Birmingham station to meeting venue.
She will reach to meeting time 10 minutes earlier which will allow here to get ready for the meeting.
Note:
If we want to overcome the 10 minutes and she live 8.10 am from here home then she will reach to station at 9.10 am. According to the train timing she will get train at 09.25 am which means at the end she will get late about 10 minutes to reach the venue for the meeting.
i don’t understand this please help
Evaluate the following expressions for m=-3 n=4 p=2.
b)p2 + mn
Answer:
-8
Step-by-step explanation:
2(2)+(-3)(4)=
4+(-12)=
-8
Answer: -3 because -7 +4 is equal to -3 and because im smart like that
What is the Reciprocal of 10/3
Answer:
3/10
Step-by-step explanation:
If you flip 10/3 you get 3/10
Given m∠12 + m∠15=180°
Which lines are parallel, if any must be parallel, based on the given information?
1. c || d by the converse of the alternate interior angles theorem
2. a || b by the converse of the corresponding angles theorem
3. c || d by the converse of the same-side interior angles theorem
4. Not enough information to make a conclusion.
Answer:
the answer is choice 3
c is parallel to d by the converse of the same side interior angles theorem
Step-by-step explanation:
Answer:
3. c || d by the converse of the same-side interior angles theorem
Step-by-step explanation:
Angles 12 and 15 are same-side interior angles of lines c and d cut by transversal a.
Answer:
3. c || d by the converse of the same-side interior angles theorem
What is the solution to the system of equations?
3x+10y=-47
5x-7y = 40
O (1,-5)
O (1,5)
O (-1,-5)
O (-1,5)
HELPPPP
9514 1404 393
Answer:
(1, -5)
Step-by-step explanation:
Here, it is easy to check the offered choices. We find the first one works, so our check is short.
For (x, y) = (1, -5)
3·1 +10·(-5) = 3 -50 = -47 . . . yes
5·1 -7·(-5) = 5 +35 = 40 . . . yes
__
Both of the intercepts in the first equation are negative, so the line will form a triangle with the axes in the 3rd quadrant. The intercepts for the second equation are negative for y and positive for x, so the line forms a triangle with the axes in the 4th quadrant. The y-intercept for the first equation is -4.7; for the second equation, it is -40/7 = -5 5/7. This means the lines must cross in the 4th quadrant.
The only offered point in the 4th quadrant is (1, -5).
Jane is asked to buy some chickens, dogs and ducks for her farm. The total number of animals she needs to buy is 50. She has a budget of $1500 to spend on $20/chicken, $50/dog, and $30/duck. Additionally, the number of chickens should be equal to that of ducks. Create a system of 3 equations to model the situation. Assume the number of chickens is x, dogs is y and ducks is z.
Answer:
[tex]x + y + z = 50[/tex]
[tex]20x +50 y +30 z = 1500[/tex]
[tex]x = z[/tex]
Step-by-step explanation:
Given
[tex]Chicken = c[/tex]
[tex]Dog = y[/tex]
[tex]Duck = z[/tex]
Since, she wants to buy 50 in total; This can be modeled by:
[tex]x + y + z = 50[/tex]
Considering the budget, we have:
[tex]20x +50 y +30 z = 1500[/tex]
Lastly, we have that
[tex]x = z[/tex]
i.e. Chicken = ducks
There are 20 chickens, 10 dogs and 20 ducks.
Let x represent the number of chickens, y represent the number of dogs and z represent the number of ducks.
The total number of animals she needs to buy is 50. Hence:
x + y + z = 50 (1)
She has a budget of $1500 to spend, hence:
20x + 50y + 30z = 1500 (2)
The number of chickens should be equal to that of ducks. Hence:
x = z
x - z = 0 (3)
Hence, x = 20, y = 10 and z = 20
There are 20 chickens, 10 dogs and 20 ducks.
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