Answer:
8.9443
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (-9 - -1) = -8
(y2-y1) = (2 - -2) = 4
Square the results and sum them up:
(-8)2 + (4)2 = 64 + 16 = 80
Now Find the square root and that's your result:
Exact solution: √80 = 4√5
Approximate solution: 8.9443
1308 evaluated khan academy
Answer: what? What’s the question?
what will be the total surface area of a cylinder if
h = 22cm
and
r = 3cm
TSA = ?
Please give me the answer plssss??
Answer:
total surface area of a cylinder is 471 cm²
The distance of AB = [?]
Round to the nearest tenth.
No links and actual help plz!
Answer:
AB ≈ 5.7
Step-by-step explanation:
Calculate AB using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )
AB = [tex]\sqrt{(2-(-2))^2+(2-(-2))^2}[/tex]
= [tex]\sqrt{(2+2)^2+(2+2)^2}[/tex]
= [tex]\sqrt{4^2+4^2}[/tex]
= [tex]\sqrt{16+16}[/tex]
= [tex]\sqrt{32}[/tex]
≈ 5.7 ( to the nearest tenth )
II. Solve the problems involving variations. Show your complete solution. (3 points each) 1. If y varies directly as the square of x, and y = 32 when x = 2, find y when x = 5. 2. The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance (d) between them. If F = 18 when d = 10, find F when d = 15. 3. If y varies jointly as x and z, find y if x = 3, k = 6 and z = 9
Answer:
see explanation
Step-by-step explanation:
(1)
y varies directly as x² then the equation relating them is
y = kx² ← k is the constant of variation
To find k use the condition y = 32 when x = 2
32 = k × 2² = 4k ( divide both sides by 4 )
8 = k
y = 8x² ← equation of variation
When x = 5 , then
y = 8 × 5² = 8 × 25 = 200
(2)
Given F varies inversely as d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation
To find k use the condition F = 18 when d = 10
18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )
1800 = k
F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation
When d = 15 , then
F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8
(3)
y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
when x = 3, y = 6, z = 9 ,then
y = 6 × 3 × 9 = 162
PLEASE HELP QUESTION IN PIC.
Answer:
21.8
Step-by-step explanation:
A function is described by the equation f(x) = x² +5. The replacement set for the independent
variable is {1, 5, 7, 12}. Which of the following is contained in the corresponding set for the
dependent variable?
Answer:
5
Step-by-step explanation:
5 =5 +5+5=5+5
Solve -(2x + 4) = 18.
7
-11
11
-7
Answer:
x=7
Step-by-step explanation:
Hope this helps!
Describe the location of point (4,2) on a coordinate plane. Enter a number in each box to complete the sentence.
The point is
units up from the origin on the y-axis and
units to the right of the origin on the x-axis.
Answer:
2 units up and 4 units to the right.
Step-by-step explanation:
It is 2 units up and 4 units to the right because since the x-coordinate is positive, that means the point is to the right of the origin and since the y-coordinate is positive, that means the point is above the origin.
KEEP GETTING BOTTED! Work out. the area of a circle of radius 7cm. Give your answer in terms of pi
Step-By-Step would be appreciated!
Answer:
49π cm²
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (7)^2[/tex]
[tex]A=49\pi[/tex]
Therefore, the area of a circle of radius 7 is 49π cm²
Hello there! :-)
The formula for calculating the area of a circle is
A=πr²
A=π(7)²
Notice that only the radius is squared.
A=π(49)
A=154 cm
Hope this helps!
Use the comment section to clarify your doubts.
Answered by
~A teen who helps others with joy and listens to her favourite music
#LetItSnow
Good luck with your studies. :-)
1) 2x – 3y - z = 7
3x + 5y - 3z = -2
4x – y + 2z = 17
When this system of equations is solved, what is the value of x?
Answer:
x = 3
Step-by-step explanation:
2x - 3y - z = 7 (equation 1)
3x + 5y - 3z = -2 (equation 2)
4x – y + 2z = 17 (equation 3)
(1) * 3 : 6x - 9y - 3z = 21 (1)'
(1)' - (2) : 3x - 14 y = 23 (equation 4)
(1) * 2 : 4x - 6y - 2z = 14 (1)"
(1)" + (3) : 8x - 7y = 31 (equation 5)
(5)*2 : 16x - 14y = 62 (5)'
(5)' - (4) : 13x = 39
x = 3
So thus, x = 3 in this system of equations, you can plug x back into equation 4 or 5 to find y and then plug x and y back into equations 1, 2, or 3 to find z
Convert 45 mi/hr to feet per minute
Answer:
3960
Step-by-step explanation:
multiply 45 by the amount of feet in a mile (5280)
take that answer and divide in by how many minutes are in an hour
Which point is located at (Negative 1, 1 and one-fourth)? A B C D
Answer:
Point A
Step-by-step explanation:
Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.
Hope this helps!
Solve for w.
-3(-8w+1) -w=5(w-1)-1
Simplify your answer as much as possible.
W =
Answer:
W = - 6
Step-by-step explanation:
-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)
24w - 3 - w = 5w - 5 - 1 -> (Expanded version)
23w - 3 = 5w - 6 -> (Simplified version)
18w - 3 = - 6 -> (Subtract 5w from both sides)
18w = - 3 -> (Add 3 to both sides)
w = 18/-3 which is - 6 -> (Doing 18/-3)
A ramp for a loading truck is 13 long and covers 12 feet along the level ground. How many feet high is the highest point on the ramp?
Answer:
5 feet
Step-by-step explanation:
Using pythagoras' theorem a^2 = b^2 + c^2
13^2 = 12^2 + c^2
c^2 = 25
c = 5 feet
Answer:5
Step-by-step explanation:
e: x10+x15+x30=3
⇒3x+2x+x30=30
∴x=15
a: 1.5t+2.5t+3.5t=70+0.5t
⇒7.5t−0.5t=70
⇒7t=70⇒t=707=10
b: Let the number be x.
Given that, 2x3−x6=10
⇒4x−x6=10
x=20
d: 3x+5>25−x
⇒3x+x>25−5
⇒4x>20⇒x>204⇒x>5.
It is 5:15 pm now. What time will it be in 40 minutes?
Answer:
5:55 pm
Step-by-step explanation:
Answer:
5:55pm
Mark brainlest if correct
Step-by-step explanation:
Which equation choice could represent the graph shown below?
What is the slope of the line that passes through the points (10, 2) and (19, 14)?
Write your answer in simplest form.
Answer:
The slope of this line is 4/3.
Step-by-step explanation:
(x1, y1) = (10, 2)
(x2, y2) = (19, 14)
First, find the slope using the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
All this is doing is finding the distance between the y-coordinates and dividing it by the distance between the x-coordinates. I marked these two as points 1 and 2 above, so you can plug in all 4 values and solve:
[tex]m=\frac{14-2}{19-10}\\\\m=\frac{12}{9}\\\\m=\frac{4}{3}[/tex]
The slope of this line is 4/3.
Quick! I need an answer now! Please!
Linear or nonlinear:
y=x y=x/2 - 3 3x + y =12 y= 6/x - 2 y=3x^3+5
this equation is a non linear equation
2) If it rains 4 inches in 1 hour, how long will it rain in 12 hours?
Please help this is due tomorrow
Answer:
It will rain 48 inches in 12 hours.
Step-by-step explanation:
If for every hour it rains 4 inches, then to find how many inches it rained in 12 hours you just need to multiply the amount of hours by 4: 12 x 4 = 48
PLZ mark brainliest if I helped
Question 5 of 10
What is the solution to this equation?
6x + 10 - 2x = 7 + 23
A. X = 15
B. X= 4
C. X= 5
D. X= 2
Answer:
x=5
Step-by-step explanation:
First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.
Staci pays $32.70 for 5 cell phone cases. Each case costs the same amount. How much does eachcase cost?
Answer: Each phone case costs $6.54.
Explanation:
$32.70 ÷ 5 = cost per cell phone
$32.70 ÷ 5 = $6.54
With words, describe the translation:
(x, y)—(x+2, y-4)
o Move 2 to the left and 4 up
o Move 6 diagonally
o Move 4 left and 2 up
o Move 2 to the right and 4 down
Decide whether each set of side lengths could form a valid triangle: (6,8,9), (3,8,5), (4,9,14).
coaches take people to a festival.
Each coach can take 50 people.
From one city there are 820 people.
How many coaches are needed?
Answer:
17 coaches
Step-by-step explanation:
820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17
Answer:
17 coaches
Step-by-step explanation:
820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17
HELP ASAP!!!!hgghfuygkjb,
Answer:
120$
Step-by-step explanation:
The price of petrol increased by 8% to Rs 540 per litre. Find the old price.
Answer:
The original price is Rs. 50
Step-by-step explanation:
Let the original price be Rs.x
x+8% of x=54
x+(8/100)*x=54
x+8x/100=54
(100x+8x)/100=54
108x/100=54
x=54* 100/108
x=50.
The original price is Rs. 50
Answer:
Rs 500 per literStep-by-step explanation:
Let the initial price be x.
We have:
x + 8% of x = 540Rewrite it as below and solve for x:
x + 0.08x = 5401.08x = 540x = 540/1.08x = 500Item 3 Martin is a chef and a caterer. When catering an event, he plans the amount of food to be prepared based on the number of people he needs to serve. The equation y = 7x represents the number of ounces of chicken required to serve x people. The equation y = 5x represents the number of ounces of fish required to serve x people. What is true of the comparison of the two graphs?
Answer:
The line representing the number of ounces of chicken required to serve x people is steeper than the line representing the number of ounces of fish required to serve x people.
Step-by-step explanation:
I took the test
Comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people
Recall:
The linear equation of a proportional graph is represented as y = mx, where m is the slope or gradient.The larger the value of the slope, the steeper the slope of the graph.Given the following:
Graph representing the number of ounces of chicken required to serve x people: y = 7x
The slope is 7.
Graph representing the number of ounces of fish required to serve x people: y = 5x.
The slope is 5.
Therefore, comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x peopleLearn more about slopes on:
https://brainly.com/question/12242745
Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars. Select all the statements that are true.
Answer: 125 hearts and 375 stars
Step-by-step explanation:
25% of 100 is 25. Take 100 and x it by 5. 100 x 5 is 500 making 25 x 5 125. That being said 125 hearts and 375 stars
Answer:
125 hearts and 375 stars
Step-by-step explanation:
The ratio of cookies to muffins made at The Berry Bakery is 3 : 4. If they make 12 cookies on Monday, how many muffins did they make?
Answer:
13
Step-by-step explanation:
The proportion is solved and the number of muffins is M = 16
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The ratio of cookies to muffins made at The Berry Bakery is 3 : 4
Now , the number of cookies is = 12
So , the proportion is
3 / 4 = 12 / M
Multiply by M on both sides , we get
( 3/4 )M = 12
Divide by 3/4 on both sides , we get
M = 16 muffins
Hence , the number of muffins is 16
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
3.9 as a improper fraction
Answer:
18/5
Step-by-step explanation:
simple division mm m m k l k obkbono
Answer:
39/10
Step-by-step explanation:
I promise you correct answer ur welcome