The maximum distance is the diameter of the circle, which is of 44 units.
The equation of a circle of radius r and center [tex](x_0,y_0)[/tex] is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The diameter is twice the radius, and is the maximum distance between two points inside a circle.In this problem, the circular path is modeled by:
[tex]x^2 + y^2 - 10x - 18y - 378 = 0[/tex]
We complete the squares to place it in the standard format, thus:
[tex]x^2 - 10x + y^2 - 18y = 378[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]
Thus, the radius is:
[tex]r^2 = 484 \rightarrow r = \sqrt{484} = 22[/tex]
Then, the diameter is:
[tex]d = 2r = 2(22) = 44[/tex]
The maximum distance is the diameter of the circle, which is of 44 units.
A similar problem is given at https://brainly.com/question/24992361
Yolanda was standing on the middle step of a staircase, painting a wall.She went up four steps to touch up a spot, then she went down five steps to continue painting. When she finished everything within reach,she went down six steps to the first step. Which step was the middle step. How many steps were there in the staircase. Use backwards working plzzzz answer i would rate 5 stars.plz help
Answer:
hope this helps
sorry if it isn't what you're looking for
Step-by-step explanation:
(x+4)-5)-6 =1
combine the +4 and -5
x-7 =1
add 7 to both sides
x=8
Yolanda started on step 8
3x+y-2x^2=11
finding out if this equation is linear or not.
Answer: It is not linear because the graph doesn't form a straight line.
Step-by-step explanation:
At the beginning of the year, Grayson had $45 in savings and saved an additional $19 each week thereafter. Jacob started the year with $90 and saved $16 every week. Let GG represent the amount of money Grayson has saved tt weeks after the beginning of the year and let JJ represent the amount of money Jacob has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t,t, and determine the who has more money saved after 18 weeks.
Answer:
The will have the same amount $ 387
Step-by-step explanation:
Grayson: y = 19x + 45
Jacob: y = 16x + 90
Grayson: y = 19(18) + 45
342 + 45 = $387
Jacob: y = 16(18) + 90
288 + 90 = $378
Which shows another way to write 6 - 9?
9 - 6
9 - (-6)
6 + 9
6 + (-9)
need help please help me
Answer:
3
Step-by-step explanation:
27×1/9=27/1×1/9
=3
hope it helps!!
maggi buys 3/4 of a pound of blueberries and uses 5/3 of them to make a smoothie
hovv many pounds of blueberries did maggi use to make a smoothie???????????????????????
Answer:
Step-by-step explanation:
it is 5/4 of a pound because because 5/3*3/4 = 5/4
Own made 60% of the shots he attempted during his hockey practice he made 18 shots . How many shots did owen attempt during his hockey practice
Answer:
come on the answer is 30 lol.
Step-by-step explanation:
53-3 times 9 + 12 divided by 3
Answer:
53-3 times 9 + 12 divided by 3 = 30
Step-by-step explanation:
Answer:
350
Step-by-step explanation:
53-3=50
9+12=21
50 x 21 = 1050
1050/3 = 350
You need 520 mL of a 15% alcohol solution. On hand, you have a 65% alcohol mixture. How much of the 65% alcohol mixture and pure water will you need to obtain the desired solution?
You will need _____ mL of pure water and _____ mL of the 65% solution.
Answer:
400 ml, 120 mlStep-by-step explanation:
Alcohol content of 15% solution:
0.15*520 = 78 mlVolume of 65% solution containing 78 ml of alcohol:
78/0.65 = 120 mlRequired water volume to obtain 15% solution:
520 - 120 = 400 mlplease help, lots of points!!!
v₁ = at + v₀
Step-by-step explanation:
[tex]\begin{aligned}\tt a&=\tt\frac{v_1 - v_0}{t}\\\tt a\cdot t&=\tt v_1 - v_0\\\tt a \cdot t +v_0&=\tt v_1\end{aligned}[/tex]
50 Points!! I'M CONFUSED SO PLEASE HELP
Answer:
x=5
Step-by-step explanation:
Only pay attention to one transversal at a time
two angles are congruent so
9x+12=13x-8
9x-13x=-8-12
-4x=-20
4x=20
x=5
May I please receive help?
Answer:
a) 60° b) 50°
Step-by-step explanation:
The measurements of a triangles total angles is always equal to 180.
In question a), an Equilateral triangle is shown. Which means all the sides and angles are equal. So you divide 180 by 3, which equals 60.
In question b), an Isoceles triangle is shown. Which means two of the three sides and angles are equal. The other angle is already given: 80.
All you need to do now is subtract 80 from 180 and divide the diffrence by 2.
So, 180-80=100
100/2=50
S=50
Q=50
I hope this helped! :D
Express as a trinomial.
(2x – 4)(x + 8)
Answer:
[tex](2x - 4)(x + 8) \\ 2x - 4(x + 8) \\ 2x - 4x + 32 \\ 2x + 32[/tex]
Simplify the expression by combining any like terms:
X+4x-6y+7y
solve the inequality x/2-5>4
Answer:
x>18
Step-by-step explanation:
[tex]\frac{x}{2} -5>4\\\\\\\frac{x}{2} >9\\\\\\\\x>9(2)\\\\\\x>18[/tex]
PLEASE HELP, WILL GIVE BRAINLY!!!!!!
Given: 2PQ = PR
Prove: Q is the midpoint of line PR
Statement: 2PQ = PQ + QR
Reason: ???
Answer:
Given: 2PQ = PR
Prove: Q is the midpoint of line PR
Statement: 2PQ = PQ + QR
Step-by-step explanation:
If Q is the midpoint of PR then
PR = PQ + QR [by segment addition postulate]
2PQ = PR [given]
2PQ = PQ + QR
2PQ-PQ = PQ + QR-PQ [by subtracting PQ from both sides]
PQ = QR
[tex] \because[/tex] Q lies on PR and PQ = QR
[tex] \therefore[/tex] Q is the midpoint of PR
I don't need this for school i Just want to see if people can help me with my other studies with a test question. I know this is easy but i Want to ask So...
Billy's dad gets:6,59€a day. And now he has made 408,58€ how many days did he work?
Answer:
what thats a math question
Step-by-step explanation:
Arithmetic sequence for a1=5
Answer:
a =5that is the answer ok
Match each expression on the left to the equivalent decimal.
4.6
5.6
5.7
6.7
2.63 + 3.07
9.4 - 4.8
3.92 + 1.68
8.5 - 1.8
Answer:
1. 5.7
2. 4.6
3. 5.6
4. 6.7
Step-by-step explanation:
The military academy is placing cadets in rows for the parade. All rows must have the same number of cadets. If A company has 60 cadets and B company has 72 cadets, what is the greatest number of cadets who can be in each row?
A. 4
B. 6
C. 12
D. 15
The greatest common factor of two numbers is 4. The sum of the numbers is 76. What are the two numbers?
A. 14 and 52
B. 12 and 54
C. 38 and 48
D. 24 and 52
Answer:
number one is C and number two is D because the only two numbers that equal 76 is 24+52
calvin works at smokin sally’s barbecue restaurant and keeps track of the numbers of customers who visit the restaurant over a four-day period..
If caliber made an average tip of $1.25 per customer, how much money did Calvin make in tips from Thursday to Sunday?
Answer:
Step-by-step explanation:
Dbbdhdbjsbsjsbsbns
Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for the store by researching the items in the soup and their packaging to determine how many of each he will need. Explain. AlternativeText
The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.
The grocery list is therefore;
15 cups of honey beans9 cups carrots12 cups cherry tomato192 oz. vegetable broth10.5 cup turnips6 teaspoon salt8 cups potato onions1.25 teaspoons thyme12 teaspoons garlicReason:
Amounts of beans soup Sam wants to make = 4 gallons
The recipe for the beans soup is as follows as obtained from an online home work document are;
Vegetable Bean Soup that Serves 4 with volume of 0.[tex]\overline 3[/tex] gallons
1.25 cups of honey beans
0.75 cup carrots
1 cup cherry tomato
16 oz. vegetable broth
0.875 cup turnips
0.5 teaspoon salt
[tex]0.\overline 6[/tex] cup potato onions
0.125 teaspoon thyme
1 teaspoon garlic
The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;
[tex]Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12[/tex]
Therefore, Sam has to buy twelve times the amount of each ingredient as follows;
Vegetable Bean Soup that Serves 4 with volume of 0.[tex]\mathbf{\overline 3}[/tex] gallons
12 × 1.25 = 15 cups of honey beans
12 × 0.75 = 9 cups of carrots
12 × 1 = 12 cups of cherry tomato
12 × 16 = 192 oz. vegetable broth
12 × 0.875 = 10.5 cup turnips
12 × 0.5 = 6 teaspoon salt
12 × [tex]0.\overline 6[/tex] = 8 cups of potato onions
12 × 0.125 = 1.25 teaspoons thyme
12 × 1 = 12 teaspoons garlic
The grocery list is therefore;
15 cups of honey beans9 cups carrots12 cups cherry tomato192 oz. vegetable broth10.5 cup turnips6 teaspoon salt8 cups potato onions1.25 teaspoons thyme12 teaspoons garlicLearn more here:
https://brainly.com/question/20364628
https://brainly.com/question/21464667
please see attachment below
Hey there!
Refer to the attached picture.
Hope it helps ya!
Item 5
What is the length of the line segment with endpoints (10.8, −5.3) and (−15.6, −5.3) ?
Step-by-step explanation:
since both points are on the same horizontal line (same y coordinate), we can save the detour via the Pythagoras approach. we only need to look at the difference of the x coordinates to get the distance :
10.8 - -15.6 = 10.8 + 15.6 = 26.4
Sarah and Emily ran a 324m race. If Sarah ran it in 61.3 seconds and Emily ran it in 60.4 seconds, how much faster was Emily than Sarah? Round to the nearest hundredth and give your answer in meters per second.
Please answer quick people keep answering it with links 3
Answer: 1.015 meters per second
2 root 5 times by 5 root 5
Answer:
100000
Step-by-step explanation:
I believe you mean Exponent, not roots.
2^5 x 5^5.
1) Evaluate your Exponent
(2x2x2x2x2) x (5x5x5x5x5)
2) Multiply
32 x 3125
3) Solution
100000
$10.00/8 slices is it a unit rate
no, its not a unit rate
round 429 to the nearest hundred
Answer:
400
Step-by-step explanation:
429 is closest to 400 on the number line so it would be 400
Can abort help me with this math question the right answers
Answer:
pretty sure its D. 1.6 x 10^9
HELP HELP HELP PLEASE I HAVE 5 MINS TO ANSWER THIS WILL MARK BRAINLIEST
LOOK AT ATTATCHMENT
Answer:
2 & 4
Step-by-step explanation:
There is a closed circle meaning the range is eqaul to or less than 4.
The range is -1 to 4 (not inclusive of -1)