Answer:
Circumcenter = (4,0)
Circumcircle = √5
Step-by-step explanation:
The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.
Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:
[tex]AO=\sqrt{(x-2)^2+(y-1)^2} =\sqrt{x^2-4x+4+(y^2-2y+1)}\\=\sqrt{x^2+y^2-4x-2y+5} \\\\BO=\sqrt{(x-5)^2+(y-2)^2} =\sqrt{x^2-10x+25+(y^2-4y+4)}\\=\sqrt{x^2+y^2-10x-4y+29} \\\\CO=\sqrt{(x-3)^2+(y-4)^2} \\=\sqrt{x^2-9x+9+(y^2-8y+16)}=\sqrt{x^2+y^2-9x-8y+25} \\[/tex]
AO = BO, therefore
√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)
x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29
6x + 2y = 24 (1)
BO = CO
√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)
x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25
-x + 4y = -4 (2)
Multiply equation 2 by 6 and add to equation 1:
26y = 0
y=0
Put y = 0 in -x + 4y = -4
-x + 4(0) = -4
x = 4
The cicumcenter is at (4, 0)
The radius of the circumcircle = AO = BO = CO. Therefore:
[tex]Radius=AO=\sqrt{(4-2)^2+(0-1)^2} =\sqrt{4+1}=\sqrt{5}[/tex]
Viola makes gift baskets for Valentine's Day. She plans to make 12 baskets each day. If there are 7 working days until the day she begins to sell the baskets, how many baskets will she have to sell?
Answer:84
Step-by-step explanation:
multiply the numbers
Answer:
84 baskets
Step-by-step explanation:
We know Viola plans to make 12 baskets each day to sell for Valentine's day. She is able to work for 7 days, giving her the oppertunity to make 84 baskets in the time period.
Here's the equation:
12 x 7 = 84
Viola can sell 84 baskets
Checked work:
84 ÷ 7 = 12
If he pays $16.80 for one year. He receives one magazine each month for 12 months. Find the dollars he pays for each
magazine
Answer:
About $1.40 per each monthly magazine.
Step-by-step explanation:
16.80 / 12 = 1.4
What is the approximate value of tan C?
Please help! Urgent!
Hey there! I'm happy to help!
Tan means tangent. The tangent is the ratio of the opposite side of the angle to the adjacent side of the angle.
If we look across from angle C, we see that the opposite side is 5.
The adjacent side is the one next to the angle, and it can't be the hypotenuse (the diagonal one). Our adjacent side is 13.
So, the tangent of C is 5/13, and we can divide these, giving us about D. 0.38.
Have a wonderful day! :D
Answer:
0.38
Step-by-step explanation:
took a p e x test
Mrs. Haddox is mailing a package that weighs 18.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces? 1 pound (lbs) = 16 ounces (oz) I GIVE BRAINLIEST PLZ
Answer:
296 ounces
Step-by-step explanation:
I used the formula "Multiply the mass value by 16"
Hope this helps:)
Answer:
296 is the total ounces it weighs
Step-by-step explanation:
5 3/4 divided by 1 and 1/2
Answer:
0.25
Step-by-step explanation:
(3/4/1)-1/2
0.75-0.5=0.25
Answer:
5 3/4 divided by 1 1/2 is 3 5/6
Step-by-step explanation:
A garment store sells a particular brand of a shirt at ₹x and a particular brand of a trouser at ₹y. John buys 5 shirts and 3 trousers from the store at ₹9000. Frame an equation to model the above situation.
Answer:what I don’t even know sorry that I wasted you time but if you stay and keep reading it might be important
So how do I switch accounts or log out hopefully you chose to keep reading I got you good and wasted your time
Step-by-step explanation:
4.89 gallons of milk is sold for $12.79. If you have $21.44 in your wallet. How many
gallons of milk you can buy?
Answer:
You can buy 8.18 gallons of milk.
Step-by-step explanation:
12.79/4.89 = 2.62
21.44/2.62 = 8.18
Which graph represents this system of inequalities? y > x + 3 y ≤ 5x − 1
Answer:
it should be the second one
Step-by-step explanation:
the only reason i kno this is because one side always has to be white
hope this helps
sorry if its wrong
the last graph i personally think this because of answer i got using desmos when i put in this problem. ( make sure the answer you click matches the last graph on this question i don't want you to get an incorrect answer because you didn't pay attention)
A toy factory sold 120,587 toys in 25 days. If each toy was sold for $58, about how much money did the factory earn in 25 days? Estimate the answer by rounding off the number of toys to the nearest thousand.
This value is a little over 7 million dollars
======================================================
Explanation:
120,587 rounds to 121,000 when rounding to the nearest thousand.
The instructions don't mention rounding 58, so we'll leave it as that
Multiply the values to get
58*121,000 = 7,018,000
which is the estimate of how much money was earned.
-----------
The actual amount of money earned is
58*120,587 = 6,994,046
which isn't too far off of our estimate.
-----------
Note: the value of 25 days is never used. You could have any other number of days you want, and the answer is still the same. This value is probably either filler or some kind of distraction.
At 12:00 P.M., the water pressure on a submarine is 435 pounds per square inch. Ffom
12:00 P.M. to 12:30 P.M., the water pressure increases 58 pounds per square inch.
From 12:30 P.M. to 1:00 P.M., the water pressure decreases 116 pounds per square
inch. What is the water pressure at 1:00 P.M.?
0 261 pounds per square inch
493 pounds per square inch
O -58 pounds per square inch
O 609 pounds per square inch
O
Answer:
[tex]\Large \boxed{ \mathrm{377 \ pounds \ per \ square \ inch} }[/tex]
Step-by-step explanation:
The initial pressure was 435 pounds per square inch.
From 12:00 PM to 1:00 PM, the initial pressure increases by 58 pounds per square inch and then decreases 116 pounds per square inch.
⇒ 435 + 58 - 116
⇒ 377
Answer:
[tex]\huge\boxed{377 \ pounds / in.^2}[/tex]
Step-by-step explanation:
The initial pressure was 435 pounds / in.²
After that it increases by 58 pounds / in.²
So, it became
=> 435 + 58
=> 493 pounds / in.²
Then, it decreases by 116 pounds/square inch
=> 493 - 116
=> 377 pound / in.²
This is the final pressure.
the ratio of adults to children attending a new exhibit at the museum was found to be 8:5. based on this ratio if 390 people attended one day how many would be children
999
why becuase thats the answer mine had
1. Observa la imagen. Luego, responde las preguntas
.
a. ¿Qué molécula representa?
how do you calculate the area of this square which has two semicircles in it?
please help
The area of the square is 100 square units because 10×10=100
The radius of a circle is half the length of the square. The radius is 5.
The 2 semi-circles added together actually equals a circle.
The area of a circle is π[tex]r^{2}[/tex].
5=r.
So [tex]5^{2}[/tex] equals 25.
The circle is 25π
So just subtract.
The area of the square with two semi-circles in it is (100 - 25π)
♡ Hope this helps! ♡
❀ 0ranges ❀
Does this equation have one, many, or no solutions? [tex]2+4(3-4x)=5x+9[/tex] If one, what is the value of 'x'? Show work please.
Answer: This equation has one solution.
Steps:
2+4(3-4x) = 5x +9
First, we need to distribute to the terms inside the parentheses.
4 * 3 = 12 and 4 * -4= -16x
Our equation now looks like this:
2 + 12 - 16x = 5x + 9
We can now combine like terms. We have 2 like terms that we can combine:
2 + 12 + = 14
Our equation now looks like this:
-16x + 14 = 5x + 9
We can now use inverse operations to get rid of 5x. The inverse operation for addition is subtraction; so we subtract 5x on both sides. Remember, our goal is to isolate the x.
-16x + 14 = 5x + 9
-5x -5x
The fives cancel out. Our equation now looks like this:
-21x + 14 = 9
We can now use inverse operations to get rid of the 14:
-21x + 14 = 9
- 14 -14
The fourteens cancel out. Our equation now looks like this:
-21x = -5
Last step! Now we use inverse operations to isolate the x. -21 is being multiplied by x; the inverse operation for multiplication is division.
-21x/-21 = and -5/-21 = 5/21
x is equal to 5/21.
Hope this helps!
Answer:
-5x + -5 + 5x-.1
Step-by-step explanation:
Which of the following inequalities are true? 4 < -8 8 < -4 -8 < -4 -8 > -4
Answer: The third option is true, -8<-4
Step-by-step explanation:
Negative four is greater than negative eight because it is closer to zero on the number line
Find the measure of a
A. 40
B. 25
C. 50
D. 12.5
Answer:
c because it will be half of it meaning you have to multiply rhem
The angle at the center subtend by the chord of the circle will be 50°. Then the correct option is C.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.
The angle at the periphery is 25°.
Then the angle at the center of the circle will be double of the angle subtend at the periphery.
Central angle = 2 × 25°
Central angle = 50°
The angle at the center subtend by the chord of the circle will be 50°.
Then the correct option is C.
More about the circle link is given below.
https://brainly.com/question/11833983
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Round the number 817.0863 to the nearest:
(a) hundreds
(b) hundredths
(C) 3.d.p
(d) 4 s.f
(e) Whole number
Answer:
(a) hundreds = 817
(b) hundredths = 817.09
(c) 3 d.p = 817.086
(d) 4 s.f. = 817.1
(e) whole number = 817
1. Solve for x, 5 (2x + 3) + 3 (x - 4) = 25 And one more question 2. The perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.
Answer:
Step-by-step explanation:
1) 5(2x + 3) + 3(x -4) = 25
Use distributive property
5*2x + 5 *3 + 3*x - 3*4 = 25
10x + 15 + 3x - 12 = 25
Add like terms
10x + 3x +15 - 12 = 25
13x + 3 = 25
Subtract 3 form both sides
13x = 25 - 3
13x = 22
x = 22/13
x = [tex]1\frac{9}{13}[/tex]
2) Breadth = b m
Length = 5b - 4
Perimeter of rectangle = 40 m
2*(length + breadth) = 40 { Plug in the values of breadth & length}
2* (5b - 4 + b) = 40
2 * ( 6b - 4 ) = 40
2*6b - 2 *4 = 40
12b - 8 = 40 { add 8 to both sides}
12b - 8 + 8 = 40 + 8
12b = 48 { divide both sides by 12}
12b/12 = 48/12
b = 4 m
Breadth = 4m
Length = 5*4 - 4 = 20 - 4 = 16 m
Answer:
16cm
Step-by-step explanation:
5(2x+3) + 3 (x-4)= 25
10x+15+3x-12=25
(combine the like terms)
13x+3=25
13x= 22
x= 1 and 9/13
perimeter= 40m
length=5a-4
breadth=a
5a-4+a+5a-4+a= 40
12a-4-4 = 40
12a-8=40
12a= 48 a= 4cm
the breadth is 4cm, the length is 5×a-4= 20-4 =16cm
your welcome!lf x+1/x=12 then find the value of x3+1/x3
What is the algebraic expression for the following word phrase: the sum of 7w and 5?
A. StartFraction 7 w over 5 EndFraction
B. 12w
C. 7 w minus 5
D. 7w + 5
Answer:
7w+5
Step-by-step explanation:
7w, and then the sum indicates an addition sign, so it becomes 7w+5
Answer:
7w+5
Step-by-step explanation:
sum means add
7w+5
Find the number of positive divisors of 1470.
Answer:
1, 3, 17, 29, 51, 87, 493, 1479
Step-by-step explanation:
Divisors of number 1479: 1, 3, 17, 29, 51, 87, 493, 1479
Number of divisors: 8
Sum of its divisors: 2160
Answer: plz mark as brainliest
Step-by-step explanation:Here we will define what "the divisors of 1470" means and show you how to find the divisors of 1470.
First, note that in a division problem like x divided by y equals z, x is the dividend, y is the divisor, and z is the quotient as illustrated here:
Dividend / Divisor = Quotient
Divisors of 1470 are all the unique whole number divisors that make the quotient a whole number if you make the dividend 1470:
1470 / Divisor = Quotient
To find all the divisors of 1470, we first divide 1470 by every whole number up to 1470 like so:
1470 / 1 = 1470
1470 / 2 = 735
1470 / 3 = 490
1470 / 4 = 367.5
etc...
Then, we take the divisors from the list above if the quotient was a whole number. This new list is the Divisors of 1470.
The Divisors of 1470 are as follows:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, and 1470.
HELP ME PLEASE PLEASE HELP ASAP PLEASE
Answer:
X = [tex]\frac{L}{6\pi r }[/tex] - [tex]\frac{5r}{6}[/tex]
Step-by-step explanation:
Given g(x)=9x^2-5 and k(x) =3x-1, find g(x) + k(x)
A. 2x^2 +3x - 6
B. x^4 + 3x^3 - 6x^2 - 15x + 15
C. 3x - 6
D. 5x^2 - 6
I hope this helps you
Question wants sum of two functions
g(x) +k(x)
9x^2-5+3x-1
9x^2+3x-6
3(3x^2+x-2)
3(3x-2)(x+1)
PLEASEEEEEE Which system of equations does not have a real solution? y = x 2 + 3 x - 5 and 4 x + 5y = 20 y = x 2 + 3 x - 5 and x + y = -10 y = x 2+ 3 x- 5 and x + y = -9
Answer:
[tex]\Large \boxed{y = x^2 + 3 x - 5 \ \ \mathrm{and} \ \ x + y = -10}[/tex]
Step-by-step explanation:
y = x² + 3 x - 5 and x + y = -10 are the system of equations that do not have a real solution.
When the two equations are graphed and if they do not intersect, then there are no real solutions for the system of equations.
Answer:
Step-by-step explanation:
Solve the equation
(If possible please show work)
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-2(-x-4)+3=-7-4x[/tex]
First, distribute the left side:
[tex]-2(-x)-2(-4)+3=-7-4x\\2x+8+3=-7-4x[/tex]
Add values on the left side:
[tex]2x+11=-7-4x[/tex]
Add 7 to both sides. The right side cancels:
[tex](2x+11)+7=(-7-4x)+7\\2x+18=-4x[/tex]
Subtract 2x from both sides. The left side cancels:
[tex](2x+18)-2x=(-4x)-2x\\18=-6x[/tex]
Divide both sides by -6:
[tex](-6x)/-6=18/-6\\x=-3[/tex]
Therefore, x equals -3.
Answer:
[tex]x = - 3[/tex]
Step-by-step explanation:
[tex] - 2( - x - 4) + 3 = - 7 - 4x[/tex]
[tex]to \: get \: rid \: of \: the \: parenheses \: \\ distribute \: two \: through \: the \: parentheses[/tex]
[tex]2x + 8 + 3 = - 7 - 4x[/tex]
[tex]add \: the \: numbers \\ \\2x + 8 + 3 = - 7 - 4x \\ \\ 2x + 11 = - 7 - 4x \\ \\ move \: - 4x \: to \: the \: left - hand \: side \: and\: change \: its \: sign \\ \\ 2x + 4x + 11 = - 7 \\ \\ move \: constant \: to \: the \: right - hand \: side \: and \: change \: its \: sign \\ \\ 2x + 4x = - 7 - 11 \\ \\ 6x = - 18 \\ \\ x = - 3 \\ \\ \\ hope \: this \: helps \: [/tex]
MARNIE OUT!
:)
Which step can you use to solve the equation 6z=48
Answer:
z=8
Step-by-step explanation:
6z=48
divide by 6
6z/6=48/6
z=8
Answer:
x=8
Step-by-step explanation: Divide six on both sides and that should give you 8 as your answer.
factor the expression: -45x +40 expand the expression: 4w + 9( -6 - 3w)
Answer:
[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
-45x + 40
Factor out 5 from the expression.
5(-9x) + 5(8)
Take 5 as a common factor.
5(-9x + 8)
4w + 9( -6 - 3w)
Expand brackets.
4w + 9(-6) + 9(-3w)
4w - 54 - 27w
Combine like terms.
4w - 27w - 54
-23w - 54
Answer:
Factor the expression
[tex] - 45x + 40 \\ = - 5(9x + 8)[/tex]
Expand the expression
[tex]4w + 9( - 6 - 3w) \\ 4w - 54 - 27w \\ = - 23w - 54[/tex]
hope this helps
brainliest plz..
A train starts at Omaha at 2 pm and heads for Reedley, 750 km away. At the same time, a train leaves Reedley and heads for Omaha at 85 km per hour. If the trains meet at 5 pm, what is the rate of the first train
Answer:
250 km per hour
Step-by-step explanation:
In order to find the rate of the first train, we need to know that the distance between Omaha and Reedly is 750 km away and that it will move at 2 pm and arrive at the location at 5 pm. So, first subtract the hours from 5 to 2. 5 - 2 = 3
The train would arrive in 3 hours.. so we substitute 3 into the number of hours.
Distance = 750
km (kilometers per hour) = ?
Hours = 3
Now we should substitute the number values into the equation, it should look like this: 750 = km(3)
3 multiplied by the varible will be 3km because there is no coefficient for km.
750 = 3km
Then, we divide 3 by both sides to make the 3 into a one for km.
750 ÷ 3 = 3km ÷ 3
250 = km
The rate of first train is 165 mph.
What is Speed- Distance?Speed = Distance/Time Distance = Speed X Time, Time = Distance / Speed.We can frame the situation as
Distance Rate Time
First train x 3
Second train 85 3
Now, using Distance= Speed x time
Distance Rate Time
First train 3x x 3
Second train 255 85 3
So, the equation is
3x+ 255 = 750
3x = 750 -255
3x =495
x= 165
Learn more about Speed distance here:
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how to find three-quarters of x
Answer:
3x/4
Step-by-step explanation:
Three quarters =3/4
3/4 of x = 3x/4
Answer:
3/4 times x
Step-by-step explanation:
of = multiply
4 quarters = 1 so subtract 1/4 quarter's and it equals 3/4 of x
A dog is tied to a fire hydrant with a 3 foot leash. Describe the shape of the area the dog can travel.
Step-by-step explanation:
The shape will be circle, and its area will be πr²