Answer:
[tex]d=4[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d=\sqrt{(-5-(-5))^2+(6-2)^2}[/tex]
[tex]d=\sqrt{(-5+5)^2+(4)^2}[/tex]
[tex]d=\sqrt{(0)^2+16}[/tex]
[tex]d=\sqrt{0+16}[/tex]
[tex]d=\sqrt{16}[/tex]
[tex]d=4[/tex]
USING STRUCTURE An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles, as shown. A drawing shows an indoor track. It is shaped like a rectangle with a semi-circle on each of the shorter sides. The length of the rectangle is labeled x. The radius of each semi-circle is labeled r. A. Write a formula for the perimeter of the indoor track. $P=$ b. Solve the formula for $x$ . $x=$ Question 2 c. The perimeter of the track is 660 feet, and $r$ is 50 feet. Find $x$ . Round your answer to the nearest foot. $x=$ feet
Answer:
Step-by-step explanation:
Find the digram attached.
Perimeter of the track = perimeter of the rectangle + perimeter of the 2semicircles
Perimter of a rectangle = 2(x+r) where:
x is the length
2r is the width of the rectangle = diameter of the semicircle
Perimeter of semicircle = 2πr/2 = πr
Perimeter of 2semicirle = 2πr
Perimeter of the track = 2(x+2r) + 2πr
r is the radius if the semicircle
Expand
Perimeter of the track = 2x+4r + 2πr
Perimeter of the track = 2(x+2r+πr)
b) Given P = 2(x+2r+πr), we are to make x the subject of the formula.
P = 2x+4r+2πr
P-4r-2πr = 2x
Divide both sides by 2.
(P-4r-2πr)/2 = 2x
x = (P-4r-2πr)/2
c) Given
P = 600fr
r = 50ft
x = (600-4(50)-2π(50))/2
x = (600-200-100(3.14))/2
x = 400-314/2
x = 86/2
x = 43ft
Hence the value of x to nearest foot is 43ft
please helppppppppp
idk know it
Answer:
6.56- 6.66.723- 6.76.538- 6.56.647- 6.6 6.49- 6.56.687- 6.7Hope this helps and would appreciate if you would add me as brainiest
What is the slope of the line defined by 3 x - 2 y = 10 ?
Answer:
3/2
Step-by-step explanation:
if you put the equation in slope intercept form you get y=3/2x-5
given A(-2,1) and B(4,3), what is the midpoint of segment AB
Answer:
(1,2)
Step-by-step explanation:
to find the midpoint of a line you have to find the midpoint of the x and the y
x is -2 and 4 the midpoint is 1
y is 1 an 3 the midpoint is 2
(1,2)
solve 2m + 4m - 3m squared
Answer:
3m^2
Step-by-step explanation:
i hope this helps!! :)
What is the equation of the line that is perpendicular to y equals negative four x plus five and passes through the point four comma negative three ?
Answer:
y= 1/4x - 4
Step-by-step explanation:
use point slope form which is:
y - y1 = m(x - x1)
we know that the slope will be 1/4 because perpendicular is a negative reciprocal.
plug everything into point slope form:
y + 3 = 1/4 ( x - 4)
we distribute the 1/4 and then subtract the three and we get our answer
y= 1/4x - 4
I’ve been trying to answer this question and it takes me forever. Can you guys help ,e with this one?
Answer: for the first one it is +1
for the second one it is +3
for the third one it is +7
for the 4th one it is +13
and for the fifth one it is +21
Will give Brainliest to whoever can help me
Answer:
-4/3, -0.4, 0.8, [tex]\sqrt 2[/tex], [tex]\sqrt 11[/tex]
Step-by-step explanation:
-4/3 equals -1.333(repeating)
\sqrt 2 = 1.4
\sqrt 11 = 3.3
The sum of 3 consecutive integers is 120. What is the greatest of these integers? HELP ME IT'S DUE TODAY!!!
Answer:
41Step-by-step explanation:
The consecutive integers are increasing by 1
x ← the smallest integer
x+1 ← the middle integer
x+1+1 = x+2 ← the largest integer
x + x+1 + x+2 = 120
3x + 3 = 120
÷3 ÷3
x + 1 = 40
-1 -1
x = 39
x+2 = 39 + 2 = 41
Evaluate the expression:
5a - b + c when a = 1, b = -1, and c = -1
Answer:
-1
Step-by-step explanation:
5a-b+c
Plugin what you know
5(1)-1-1
Solve
-1
Lines c and d are intersected by line p. At the intersection of lines c and p, the bottom left angle is (3 x + 45) degrees. At the intersection of lines d and p, the uppercase left angle is 81 degrees.
What must be the value of x so that lines c and d are parallel lines cut by transversal p?
12
18
81
99
The value of x so that lines c and d are parallel lines cut by transversal p is 12
Angles and transversalsFrom the given figure, the sum of the given angles is supplementary, that is:
3x + 45 = 81
Subtract 45 from both sides
3x + 45 -45 = 81 - 45
3x = 36
x = 12
Hence the value of x so that lines c and d are parallel lines cut by transversal p is 12
learn more on transversals here: https://brainly.com/question/24607467
Answer: B
Step-by-step explanation:
18
\begin{cases}b(1)=16\\\\ b(n)=b(n-1)+1 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ b(1)=16 b(n)=b(n−1)+1 Find the 2^{\text{nd}}2 nd 2, start superscript, start text, n, d, end text, end superscript term in the sequence.
Answer:
17
Step-by-step explanation:
Dont listen to these bums
The second term in the sequence is 17.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
Given the nth term of a sequence to be b(n)=b(n-1)+1, where n is the number of terms of the sequence
If b(1) = 16... (1)
The second term of the sequence is generated for n= 2:
b(n)=b(n-1)+1
b(2)=b(2-1)+1
b(2) = b(1)+1... (2)
Substituting equation 1 into 2
b(2) = b(1)+1
b(2) = 16 + 1 = 17
Hence, The second term in the sequence is 17.
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
A water tank initially contained 70 liters of water. It is then drained at a constant rate of 2.5 liters per minute.
How many minutes have passed, m, when the tank contains 46 liters? Round to the nearest tenth.
Answer:
9.6 minutes
Step-by-step explanation:
46=-2.5x+70
2.5x=24
9.6 = x
Compare the ratios in Table 1 and Table 2.
Table 1
3
5
6
10
9
15
12
20
Table 2
7
10
14
20
21
30
28
40
Which statements about the ratios are true? Check all that apply.
The ratio 3:5 is less than the ratio 7:10.
The ratio 3:5 is greater than the ratio 7:10.
The ratio 14:20 is less than the ratio 9:15.
The ratio 14:20 is greater than the ratio 9:15.
The ratios in Table 1 are less than the ratios in Table 2.
The ratios in Table 1 are greater than the ratios in Table 2.
Answer:
the answer is A,D, and E
Step-by-step explanation:
i just got it right xd
Is this table proportional or non-proportional
X 8,16,24,32
Y 2,4,6,8
Twelve freinds go to a resturant together to celebrate a birthday. The food bill is $192.77 and $48.19 is added on for tax and tip. If the friends plan to divide the bill evenly between the 12 people, how much does each person owe
Answer:
20.08
Step-by-step explanation:
add 192.77 and 48.19 and then divide that by 12
2765 divided by 9 partial quoents
Answer:307.2222 or just 307
Step-by-step explanation:
What integer represents spending $100
Answer: <100
Step-by-step explanation:
Which of the following shows a function written in equation notation that is equivalent to the function below? f(x) = 3(x+10)
Answer:
A. y = 3x + 10
Step-by-step explanation:
Answer is correct from plato too.
Answer:
y= 3(x + 10)
Step-by-step explanation:
I tried the y =3x=10 and I got it wrong, so I tried my answer and it said it was correct.
7 + (-6^2) ÷ (-4) + (-12)
Step by step explanation plz
Answer:
4
Step-by-step explanation:
Write and solve an equation for the situation.
The perimeter of a parallelogram is 44 meters meters. The width of the parallelogram is 6 m less than its length. Find the length and the width of the parallelogram
The length of the parallelogram is____
The width of the parallelogram is____
Answer:
18.6667 = w
9.3333 = l
ITS WRONG
IT'S WRONG
WRONG ANSWER
Step-by-step explanation:
w-6 = l
w=w
Act like it is a rectangle, two lengths, and two sides.
w-6 + w-6 + w + w = 44
w-12 + 2w = 44
3w - 12 = 44
add 12 to both sides
3w=56
divide both sides by 3
18.6667 = w
Please help! I’m not sure how what this is called please help! Will mark right answer as brainliest
Answer:
[tex]\frac{7}{3}[/tex] or 2 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
entered it into my calculator
To answer this question, type your answer in the box.
Sarah's grandmother has a square blanket that covers an area of 25 square feet. Sarah wants to put a string of pearls around the sides of the blanket. How many feet long will the string of pearls have to be for Sarah to complete the job?
answer for free brainly
Answer:
20 feet
Step-by-step explanation:
4(2x + 1) + 2 = 5(x + 6)
Answer: x=8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
4(2x + 1) + 2 = 5(x + 6)
8x + 4 +2 = 5x + 30
Collect like terms
8x - 5x = 30 - 4 - 2
3x = 24
Divide both side by 3
x = 8
neeed help ...........
Answer:
Option C is the correct answer
Answer:
Option C
Step-by-step explanation:
Option C is the option as its was corisponds with the following graph when the equations are plugged in as you can see C is what is shown by the over lapping Red and Blue colors
I hope this helps.
jenny invited Hannah to go watch a movie with her family
Answer:
idk what this is 4
Step-by-step explanation:
Answer:
Hannah said no.
Step-by-step explanation:
Hannah doesn't like Jenny anymore, Jenny's too annoying and full of herself. Hannah doesn't want to be around Jenny anymore, her ego is too big for her, and that's saying something.
Question 13(Multiple Choice Worth 1 points) (8.03 LC) A set of equations is given below: Equation C: y = 7x + 12 Equation D: y = 7x + 2 How many solutions are there to the given set of equations? One solution Two solutions Infinitely many solutions No solution
Answer: I believe it would be no solution
Step-by-step explanation
Answer:
No solutions
Step-by-step explanation:
y=7x+12;y=7x+2
Step: Solvey=7x+12for y:
y=7x+12
Step: Substitute7x+12foryiny=7x+2:
y=7x+2
7x+12=7x+2
7x+12+−7x=7x+2+−7x(Add -7x to both sides)
12=2
12+−12=2+−12(Add -12 to both sides)
0=−10
Simplify. 4√−99
Enter your answer, in simplest radical form, in the box.
Answer:
Not sure on this but I'm pretty sure its 12i√11 since you have to use an imaginary number in order for the equation to work.
By simplifying the expression 4√−99, we have; 12i√11.
To simplify 4√−99, we first need to simplify the number present within the square root.
To do this, the factors are determined as follows;
4 × √9 × √-11We can therefore find the square root of 9 so that we have;
4 × 3 × √-11.4 × 3 × √-1112 × √-11Furthermore, √-11 can be rewritten as;
√-1 × √11.However, in complex numbers, √-1 = i.
Ultimately, we have 12i√11 as the simplification of 4√−99.
Read more:
https://brainly.com/question/12375854
simplify the expression: -3(x+6)
Answer:
-3x-18
Step-by-step explanation:
The expression -3(x+6) means that -3 is multiplied with x and 6 in the brackets so the answer would be
[tex]-3x-18[/tex]
Answer:
simplificationsimplification-3(X+6)simplification-3(X+6)= -3x- 18Find an ordered pair (x,y) that is a solution to the equation. 4x-y=8
Answer:
2,4
Step-by-step explanation:
Answer:
Step-by-step explanation: