Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0
[tex]x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}[/tex]
center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34
Lizzie goes to the Lakeside Mall with friends. She spends $25 and returns home with $45. How much money dd in dollars does Lizzie start with? Write an equation to show the amount of money Lizzie starts with.
Answer:
$25+$45=$70
Step-by-step explanation:
The only thing you have to do is add $25 and $45 hope this helps :)
simple math
Sam is in charge of setting up rooms for parties at a hotel. On Saturday, there are two parties, one with 496 people and one with 784 people. Each table seats 8 people. How many total tables does he need for the two parties?
Answer:
160
Step-by-step explanation:
add the numbers together then divide by 8
You have 4 tickets to the movies and can take 3 of four friends, Mike, Tom, Eddie, and Chris. If chosen randomly, what is the probability that you will take Mike, Tom, and Chris?
Answer:
Hello!
You have to find the probabilities of these happening
To pick Mike the first time is a 1 /4 chance
To pick Tom after Mike is a 1 / 3 chance since you picked mike
To pick Chris after Tom is a 1 / 2 chance since there are only two friends left
To find the probability of these happening in a row you multiply them
1/4 * 1/3 * 1/2 = 1/24
The answer is 1/24
Hope this helps!
-Brinks
Grant is replacing his aquarium. His old aquarium was in the shape of rectangular prism with a volume of 5,184 cubic inches.
The new aquarium is also a rectangular prism with a length, width, and height that are each 5/8 times as long as the corresponding dimension of his old aquarium. Grant concludes the two aquariums are geometrically similar figures. Which statement is true?
A. The two aquariums are similar, and the volume of the new aquarium is 3,000 cubic inches.
B. The two aquariums are similar, and the volume of the new aquarium is 4,320 cubic inches.
C. The two aquariums are not similar, and the volume of the new aquarium is 3,000 cubic inches.
D. The two aquariums are not similar, and the volume of the new aquarium is 4,320 cubic inches.
Answer:
The answer is B
Step-by-step explanation:
Find mZA.
Note that mZA is acute. Round to the nearest degree.
5
10
B
28°
Huixian needs 171 pens , 63 pencils and 27 erasers into identical gift bags so that each item is equally distrusted among the gift bags . Find the number of each item in a gift bag
Answer:
57 pens per bag
21 pencils per bag
9 erasers per bag
Step-by-step explanation:
Here, we are to distribute a specific portion of each of the items in each of the gift bags.
What we must take into consideration is that the number of items per gift bag must be equal.
Thus, what we do is to divide the total number of each item by 3 to get exactly the number of each items that would be in each of the gift bags
For the pens, we have 171/3 = 57 pens per bag
For the pencils, we have 63/3 = 21 pencils per bag
For the erasers, we have 27/3 = 9 erasers per bag
Which of the following is the graph of y = sin(0.5x)?
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 24 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 2 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 1 cycle at 8 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.
Answer: On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.
Step-by-step explanation:
The function is y = sin(0.5*x)
We know that sin(0) = 0, so this graph must pass trough the point (0,0)
We know that the maximum of the sin(x) is 1, when x = pi/2. and the minimum is -1 when x = (3/2)*pi
but in our case the function is valuated in 0.5*x
then the maximum is when:
0.5*x = pi/2
x = pi/(2*0.5) = pi
and the minimum is when
0.5*x = (3/2)*pi
x = 3*pi
Now, knowing that sin(2*pi) = 0
The other 0 of the sin is when we have 0.5*x = 2*pi
x = 2*pi/0.5 = 4*pi
this means that in 4*pi we have one cycle, then in 8*pi we have tow cycles.
Then the correct option is:
"On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi."
Answer:
d
Step-by-step explanation:
A commercial airplane travels 5,000 feet east and then ascends 3,000 feet from its starting point in the sky. Upon noticing a severe storm system on the horizon, the pilot decides to return to the starting point. A) how much distance does the plane have to travel to turn back? B) at what angle would the plane need to travel to return to its starting point. (1,000 feet = 1 unit)
Answer:
A) 5830.95 B)59.04
Step-by-step explanation:
Solve for the hypotenuse of 5,000 and 3,000
Use tangent to find the angle
tanx = 5,000/3,000
x=59.04
The distance the plane has to travel to turn back is 5830.95 km.
The angle would the plane need to travel to return to its starting point is 59.04°
How to find the distance?Solve for the hypotenuse of 5,000 and 3,000
Use tangent to find the angle
tanx = 5,000/3,000
x = 59.04
Height is the size of an object in the vertical course and distance is the measurement of an object from a specific factor in the horizontal route.
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Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$93,996
Step-by-step explanation:
i = prt
i = ($53,712)(.15)(5)
i = $40, 284
$40, 284 + $53,712
$93,996
Answer:
$92996
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 53712 × 15/100 × 5
I = $40284
He has = 40284 + 53712 = $93996
Which statements are true about surface area and volume? Check all that apply. Volume is labeled with cubic units. Surface area is labeled with cubic units. Volume of a prism is the product of the area of the base and height. Surface area is the sum of the areas of each side. The volume of a prism is One-third the volume of a pyramid.
We will review each option and see that it corresponds:
-Volume is labeled with cubic units.
True, the units of volume are cubic, since it is distance to the cube.
-Surface area is labeled with cubic units.
False, the units of the area are square, since it is distance squared
-Volume of a prism is the product of the area of the base and height.
True, depending on the base, the volume of the prism is determined, therefore it would be the area of the base by the height.
-Surface area is the sum of the areas of each side.
True, the surface area corresponds to the sum of the lateral areas and the area of the base, that is, the area of each side.
-The volume of a prism is One-third the volume of a pyramid.
False, on the contrary, the volume of a pyramid is one third of the volume of a prism
Answer:
A
C
D
Step-by-step explanation:
Hope you guys have a good day!
One of these pics are proof and the other is to just make you smile :)
During December,an electronics store saw a 27% increase in video game sales.If the store sold an average of $47,300 in video games during each other month,how much more money did it earn in December for video game sales?
Answer:
It earned $12,771 more in December.
Step-by-step explanation:
This question can be solved using a rule of three.
During an average month, we have that 100% = 1 is $47,300.
During December, the amount is $x, and it is 100% + 27% = 127% = 1.27. So
1 - $47,300
1.27 - $x
x = 1.27*47,300
x = 60,071
It earned $60,071 in December.
Compared to other months, it earned $60,071 - $47,300 = $12,771 more in December.
one person has corona virus then ten more people catch it how many people have corona virus
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
1 - Person already infected
10 - People who got the virus
1 + 10 = 11
Which steps should be taken to solve the equation 2x+3=x+5. Check all that apply
Answer:
Remove 1 x tile and 3 unit tiles from each side
Step-by-step explanation:
technically you can do any of them, but I don't think that's what your teacher wants.
Please help! Very confused
Answer:
a
Step-by-step explanation:
What is the value of r in the equation?
Negative 1.5 (4 minus r) = negative 12
–6
–4
4
6
Answer:
The answer is -4
Step-by-step explanation:
that would be because that is the answer
the correct answer is B.) -4
hi I need some help...
-6y + 17 = 3y -10
Answer:
y=3
Step-by-step explanation:
Solve by subtracting
[tex]-6y + 17 = 3y -10\\-6y=3y-27\\-9y=-27\\[/tex]
Divide.
[tex]-9y=-27\\y=-27/-9\\y=3[/tex]
Answer:
3
Step-by-step explanation:
A bottle contains 3 red marbles, 5 blue marbles and 2 green marbles. If a single marble is drawn from the bottle at random, what is the probability that the marble is green?
Answer:
1/5
Step-by-step explanation:
There are 3+5+2 = 10 marbles in the bottle
P(green) = number of green marbles/ total
= 2/ 10 = 1/5
Alex surveyed his classmates to determine who has been surfing and who has been snowboarding. Let A be the event that a classmate HAS snowboarded and let B be the event that a classmate HAS surfed.
If Alex picked a classmate at random, what is P(B/A) ?
A. 4/21
B. 3/4
C. 4/25
D. 25/28
Answer:
surburu
Step-by-step explanation:
Answer:
B. [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
I got this question correct. :)
A: SnowboardedB: SurfedP(B|A) = P(A and B) / P(A)P(Surfed|Snowboarded) = P(Surfed and Snowboarded) / P(Snowboarded)
Amount surfed and snowboarded: 36Total amount snowboarded: 48P(B|A) = [tex]\frac{36}{48}[/tex] = [tex]\frac{3}{4}[/tex]
Apologies for lack of explanation, but I think this will do it.
A small bag of pretzels costs $0.99 and contains 4 ounces. A large bag of pretzels costs $2.99 and contains 15 ounces. Which is the better buy?
Answer:
$2.99 is the better buy
Step-by-step explanation:
First, find the unit price for each bag of pretzels. This can be found by the formula: (cost/amount). in this case it is (cost/ ounce)
This means:
0.99 bag for 4 ounces means about 25 cents per oz
2.99 bag for 15 oz means about 20 cents per oz
The lower the unit price, the better the buy.
Each ounce is cheaper with the 2.99 bag, therefore it is the better choice.
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?
Answer:
There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.
Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.
Answer:
0.80x dolllars
Step-by-step explanation:
20% discount of the total amount is
0.20 * x dolllars
So if you start with x dollars you need to subtract the discount to get the new (lower ) price.
x - (0.20 * x) dolllars
1* x - 0.20 * x
x * 1 - 0.20 * x
x * ( 1 - 0.20 )
x * ( 0.80 )
0.80x dolllars
Cake is shared among Mary, Ann and Susan in the ratio 2 : 5 : 7. If Susan's share is 6 pieces more than twice the share of Mary, find the number of pieces of cake Ann gets.
Answer:
the answer is 6
Step-by-step explanation:
Chloe purchased 4 apps online. She paid 6% in sales tax. Her total cost was $4.24. What was the price of each app, not including the sales tax?
Help please will give brainliest
Answer:
A
Step-by-step explanation:
Answer no clue if u remember me but we was friends like last year over the summer. i found one our old conversations on here. j wanted to say hi and check in :)
Step-by-step explanation:
Evaluate the expression 3 x
{10 +1} +5.
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5.
PEMDAS
Parentheses first
3 x {11} +5.
Then multiply and divide
33+5
38
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5 Following PEMDAS, solve in the parentheses
3 x 11 + 5 Multiply 3 x 11
33 + 5 Add
38
Urgent. Explain in words, how you would plot (0, 4) on a coordinate plane.
Answer:
in the ordered pair, (0,4), the zero represents the x number, meaning that you would not move in any direction on the x axis( it stays on the origin). the 4 means you will move 4 units up the y axis. in the end you will have one point that in 4 units up from the origin.
Step-by-step explanation:
Im really dumb. Like really dumb. Please help! Gn
Answer:
3√34
17.5
Step-by-step explanation:
Use the Pythagorean theorem: a^2 + b^2 = c^2
a = 9
b = 15
9^2 + 15^2 = c^2
81 + 225 = c^2
306 = c^2
c = 3√34 ≈ 17.5
Answer:
your answer would be 17.5 and i think you are very smart
Step-by-step explanation:
I really need help on this, please help out
Answer:
x+y= idk
Step-by-step explanation:
sorry i need the points
Answer:
15
Step-by-step explanation:
so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.
Raphael surveyed his coworkers to find out how many hours they spend on the Internet each week.
The results are shown below.
14, 22, 10, 6, 9, 3, 13, 7, 12, 2, 26, 11, 13, 25
Drag numbers to record the frequency for each range in the table.
Numbers may be used once, more than once, or not at all.
01234567
Hours on the Internet
Hours Frequency
0–4
5–9
10–14
15–19
20–24
25–29
I WILLL MAKE BRAINLIEST AND GIVE THEM ALL MY POINTS AND GIVE THEM % STARS AND A LIKE IF YOU ANSWER THESE TWO QUESTIONS ASAP NOW!!!!!!!!!!!!!!
The histogram shows the scores on a recent science test.
Using the histogram, select all of the true statements that describe the data.
Histogram named as
The frequency of each range in the table is as follows:-
Range Frequency
[tex]0-4[/tex] [tex]2[/tex]
[tex]5-9[/tex] [tex]3[/tex]
[tex]10-14[/tex] [tex]6[/tex]
[tex]15-19[/tex] [tex]0[/tex]
[tex]20-24[/tex] [tex]1[/tex]
[tex]25-29[/tex] [tex]2[/tex]
FrequencyThe frequency of a particular value is the number of times the value occurs in the data.
How to find the frequency of a particular value?First, find the number of times the particular value occurs in the given data.
Given, Raphael surveyed his co-workers to find out their spent hours on the internet each week.
The results are:-
[tex]14,22,10,6,9,3,13,7,12,2,26,11,13,25[/tex]
Thus, the number of occurence of a particular range can be written as follows:-
Range Hours in given data Frequeny
[tex]0-4[/tex] [tex]3,2[/tex] [tex]2[/tex]
[tex]5-9[/tex] [tex]6,9,7[/tex] [tex]3[/tex]
[tex]10-14[/tex] [tex]14,10,13,12,11,13[/tex] [tex]6[/tex]
[tex]15-19[/tex] [tex]0[/tex] [tex]0[/tex]
[tex]20-24[/tex] [tex]22[/tex] [tex]1[/tex]
[tex]25-29[/tex] [tex]26,25[/tex] [tex]2[/tex]
Hence, the frequency of each range in the table is as follows:-
Range Frequency
[tex]0-4[/tex] [tex]2[/tex]
[tex]5-9[/tex] [tex]3[/tex]
[tex]10-14[/tex] [tex]6[/tex]
[tex]15-19[/tex] [tex]0[/tex]
[tex]20-24[/tex] [tex]1[/tex]
[tex]25-29[/tex] [tex]2[/tex]
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What is the GFC of 15 and 57. Plz tell me I need help
Step-by-step explanation:
3
