Answer:
y < -1/2x + 2
Step-by-step explanation:
x+2y<4
subtract x from both sides
2y<-x+4
then divide both by 2
y< -1/2+2
what are the coordinates for the center of the circle in the length of the radius X squared plus Y squared minus X minus 2Y -11 over four equals zero
Given:
The equation of a circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
To find:
The center of the circle and its radius.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is center and r is the radius of the circle.
The given equation of the circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
Write the given equation in standard form of a circle.
[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]
[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]
[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]
On further simplification, we get
[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=0.5,k=1,r=2[/tex]
Therefore, the center of the circle is (0.5,1) and radius is 2 units.
Which point represents the unit rate?
A
B
C
D
Answer:
d
Step-by-step explanation:
Which expression is equivalent to the following: 5(6f + 5)
Answer:
30f+25 I hope it is a right answers
I hope this answers is useful for you
$7,000 is invested in an account that earns 1.5% annual interest, compounded quarterly. What is the value of the account after 18 years?
Answer:
$9,151.38
Hopefully that is correct!!
Can anyone give me the answer and tell me how you did it?
Mary sells fruit with four of her friends. They want to make enough money so that, after splitting the earnings evenly,each person earns $30.
Solve the equation for this problem.
After you find the answer you need to find out if its cents, dollars,partners,or fruit
Thank you!
Answer:
the answer is 150
Step-by-step explanation:
CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3x^2-3x+8-9/x+1
Step-by-step explanation:
Find the percent of change. Round your answer to the nearest tent necessary, Please explain.
Original price: $185
New price: $160
Original number of students: 56
New number of students: 77
Answer:
No answer just clues
Step-by-step explanation:
x/100*160/1=185/1
y/100*56/1=77/1
I just can't do anymore metal math today, sorry.
6th Grade Math:
A 5-pound bag of cat food costs $11. What is the unit price of the cat food?
Answer:
The unit rate is 2.20. For a single pound of cat food it would cost $2.20
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. What is the cost per tile ?
help me plzzzzzzzzzzzz
There are 6 animals in the pen some are quails and some are goats if there are 20 legs in all how many quails and how many goats are there?
Answer:
4 goats
Step-by-step explanation:
Let us represent
Number of quails = x
Number of goats = y
Quails have 2 legs
Goats have 4 legs
Hence:
There are 6 animals in the pen some are quails and some are goats
x + y = 6...... Equation 1
x = 6 - y
if there are 20 legs in all how many quails
2x + 4y = 20..... Equation 2
We substitute 6 - y for x in Equation 2
2(6 - y) + 4y = 20
12 - 2y + 4y = 20
Collect like terms
- 2y + 4y = 20 - 12
2y = 8
y = 8/2
y = 4 goats
The number of goats there are 4 goats
A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet
Answer:
[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]
Step-by-step explanation:
We can use basic trigonometric functions to find the closest height of the escalator.
Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.
Since all triangles have an angle sum of 180:
[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]Now we know that the triangle looks something like this.
/ | 41°
/ |
/ |
/ |
30 / |
/ |
/ |
/ |
/__________| 90°
49°
We need to find the length of the side between the 41 and 90° angle.
To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).
Let's set up an equation and solve with our calculator.
[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.
Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.
Hope this helped!
Answer:
The answer is B.
Step-by-step explanation:
B. 22.5 feet
Which of the following has the greatest magnitude?
70
|-781
1701
-70
18
You have a cup containing 4 green skittles, 5 red skittles, 7 yellow skittles, and 10 purple skittles. What is the probability of not pulling a purple skittle?
Answer:
about 62%
Step-by-step explanation:
add all of the numbers
subtract the number of purple skittles
do 16÷26
multiply your answer by 100
get 61.5
round up
Joey went bowling at the Frank's Bowling Center. Shoe rental was $1.25 and games
were $1.50 each. If he spent $8.75 on shoe rental and games, how many games did
he bowl?
HELP PLS
Answer:
5 games
Step-by-step explanation:
1.50x + 1.25 = 8.75
1.50x = 7.50
x = 5
Amir buys a new car for £16470. The value of the car will depreciate by 2% each year. Work out how much amir's car will cost after 23 years
Answer:
Amir's car will cost £10348.88 after 23 years.
Step-by-step explanation:
I finally found a UK human!
This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.
The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.
16470 × [tex]0.98^{23}[/tex] = £10348.88
I hope that helps you!! ^-^
Water and oil are mixed in the ratio 3:5. Find the density of the mixture if the density of water is 1g/cm ^3 and that of oil is 0.8g/cm^3
Answer:
Density of mixture is 7.0 g/[tex]cm^{3}[/tex].
Step-by-step explanation:
Density of mixture = density of water in the mixture + density of oil in the mixture
Given: water and oil were mixed in a ratio 3:5
density of water is 1.0 g/[tex]cm^{3}[/tex] and that of oil is 0.8 g/[tex]cm^{3}[/tex].
Then,
density of water in the mixture = 3 x 1.0 g/[tex]cm^{3}[/tex]
= 3.0 g/[tex]cm^{3}[/tex]
Density of the volume of water in the mixture is 3.0 g/[tex]cm^{3}[/tex].
density of oil in the mixture = 5 x 0.8 g/[tex]cm^{3}[/tex]
= 4.0 g/[tex]cm^{3}[/tex]
Density of oil in the mixture is 3.0 g/[tex]cm^{3}[/tex].
So that,
Density of mixture = 3.0 + 4.0
= 7.0
Density of mixture is 7.0 g/[tex]cm^{3}[/tex].
what is the product of (8-3a)(8-3a)
Answer:
i think is is 64a
Step-by-step explanation:
Answer:
[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]
Help! 30 Points! Find x
Answer:
do math
Step-by-step explanation:
can u plzzzz help me brainliest
PLEASE NEED HELP ASAP
Answer:
Trapezoid
Step-by-step explanation:
They're showing us (with red arrows/triangles) that the bottom and top are parallel, but do not state anything like it for the sides.
That means it's at least a trapezoid.
As nothing suggests the sides are parallel, it's likely not a parallelogram (and it doesn't look like one).
It's also not a kite, as there is no indication that pairs of neighboring sides are equal in length.
As we don't think it's a parallelogram, it's thus not a rectangle (every rectangle is a parallelogram).
Similar with rhombus (every rhombus is a parallelogram) and square (every square is a parallelogram AND a rhombus).
Lucas deposits $4,000.00 for 6 years at 2% interest, compounded monthly. How much interest does he earn at the end of the 6 years? Round to the nearest cent. SHOW THE WORK PLEASE
Answer:
$12644.56
Step-by-step explanation:
one year = 12 month
4,000 * (1.02)^(6*12) = 16644.5615
16644.5615-4000 = 12644.5615
Answer:
Step-by-step explanation:
[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]
PLZZZZ HELP
A. 178.3
B. 196.5
C. 250.8
D. 292.5
E. 297. 1
Answer:
E, 297.1
Step-by-step explanation:
First, find the area of the triangle using the formula a= (bh) / 2
Base x height would be 16 x 12, which is 192
192 / 2 is 96 sq meters
Then, find the area of the circle using the formula a= Pi (r^2)
If the diameter is 16, the radius would be 8 because you divide by 2
8^2 is 64, 64 times Pi is approximately 201.1
Finally, add the areas together, 96 + 201.1 is 297.1 or E
What is the value of the expression below?
(16^2)^1/4
A. 4
B. 8
C. 16
D. 2.
4444444444444444444 4444444
Answer:
4
Step-by-step explanation:
A P E X:L E A R N I N G
Which pair of terms are NOT like terms?
A) 2mn and mn^2
B) 3p^2q and -p^2q
C) -x and 3x
D) 1 and -1
Answer:
A) 2mn and mn^2
that's my final answer
How far from zero is 5.5?
Answer: 5.5
When you subtract 5.5 from 5.5 you get 0
De student.cms.k12.nc.us bookmarks
Tgbhyuj190[:Op = BubbleSheet
M Email Natoli, Micha..
Question 2
1 pts
BD bisects angle ABC.
The measure of angle ABD is (2x + 12) and the
measure of angle ABC is 44º. Find the value of x.
Answer:
x = 5
Step-by-step explanation:
Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:
m<ABD = m<CBD. Therefore:
2(m<ABD) = m<ABC
Substitute:
2(2x + 12) = 44
Solve for x.
4x + 24 = 44 (distributive property)
4x + 24 - 24 = 44 - 24 (substraction property of equality)
4x = 20
4x/4 = 20/4 (division property of equality)
x = 5
Find the missing angle.
Answer:
126 Degrees
Step-by-step explanation:
180-54=126
Answer:
126 hope it may help u btw thnx for points
Step-by-step explanation:
x +54 =180 bcz of linear pair
then 180-54=126
Suppose you always eat a particular brand of cookies out of the standard sized package it comes in from the store. You notice that when you eat 3 at a time, there's always 1 cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always 1 cookie left over. Since it really isn't helpful to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover. If you know there are less than 100 cookies in the package, how many cookies are there?
Answer:
There are 91 cookies in the package of cookies
Step-by-step explanation:
The given parameter for the number of cookies are;
The number of cookies left when eating 3 at a time = 1 cookie
The number of cookies left when eating 5 at a time = 1 cookie
The number of cookies left when eating 7 cookies at a time = No cookie leftover
Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;
The number of cookies in the pack, n < 100
Therefore, we have;
3·a = n - 1
5·b = n - 1
7·c = n
∴ n - 1 is a multiples of 3 and 5 less than 100 which are;
15, 30, 45, 60, 75, and 90
Therefore, the possible values of 'n' are'
n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91
Multiples of 7 includes;
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98
Therefore, n = 91 which is the number that appear simultaneously in both search
The number of cookies in a package = 91 cookies
Part B
What is the density of the plne log? Show your work.
Answer:
Please Provide the an attachment.Then i can show u my answer