Answer:
2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation:
The object of "Euclidean geometry" (more commonly called "plane geometry") is, in principle, the study of the shapes and properties of natural bodies. However, geometry is not an experimental science since its object is not to study certain aspects of nature but a necessarily arbitrary reproduction of it.
After the definitions, Euclid then poses his famous postulates (his requests), the fifth of which has remained Euclid's postulate, often called axiom (or postulate) of parallels and which was the subject of much research and controversy as to its necessity:
Given two points A and B, there exists a line passing through A and B. Any segment [AB] can be extended into a straight line passing through A and B. For any point A and any point B distinct from A, we can describe a circle with centre A passing through B. The whole right angles are always equal to each other. By a point outside a line, we can draw a parallel and only one to this line.From the above explanation, we could deduce that the correct option is Option 2.
Answer:
The answer is B, Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.
Step-by-step explanation:
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57. The equation 29.95 + 0.79d = 91.57 can be used to model this situation. Choose True or False for each statement. A) The variable d represents the number of miles Ms. Knowles drove. B) The term 0.79d represents the charge in dollars for the distance driven. C) You can isolate the term 0.79d by adding 29.95 to both sides of the equation.
Given:
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57.
The equation is
[tex]29.95 + 0.79d = 91.57[/tex]
To find:
Whether the statement are true or false.
Solution:
We have,
[tex]29.95 + 0.79d = 91.57[/tex]
Here,
Fixed cost = 29.95
Variable cost = 0.79d, it depends on the number of miles Ms. Knowles drove.
So, the variable d represents the number of miles Ms. Knowles drove. Hence, statement A is true.
The term 0.79d represents the charge in dollars for the distance driven. Hence, statement B is true.
You can isolate the term 0.79d by subtracting 29.95 from both sides of the equation.
Hence, statement C is false.
Find two integers whose sum is -9 and product is -10
Multiply.
−3 2/3⋅(−2 1/4) ?
A −8 1/4
B −6 1/6
C 6 1/6
D 8 1/4
Answer:
49
Step-by-step explanation:
so let explain
you first have to make the fractions into whole numbers the way you do that is by
1) multiply the 3 times -3
2) then add 2
3) = -7
The next one you do the same
4 times -2
plus 1 =-7
so then this what the equation would look like
-7(-7)
so you multiply the 7 and get
49
h e l p
Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.
What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?
Answer:
4:9 is the ratio
Step-by-step explanation:
4 in Texas and 9 in Michigan
PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS
Answer:
well the numbers are 58 60 62 64 and 66
Step-by-step explanation:
it's because when u add these 5 numbers u get 310 hope this helps
Answer: 62
Step-by-step explanation:
7x - 3x + 2 = 8x - 6
Answer:
x=2
Step-by-step explanation:
The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)t, where t is the elapsed time in hours. What is the inverse function? P–1(t) = 19,300 log5 (t) P–1(t) = log5 (19,300t) P–1(t) = log5 (StartFraction t Over 19,300 EndFraction) P–1(t) = 19,300 (One-fifth) Superscript t
Answer:
The inverse of the function is
P^-1(t) = Log5 t - Log5 19,300
or P^-1(t) = Log5 (t/19,300)
Step-by-step explanation:
Here, we want to find the inverse of the function.
Make t the subject of the formula, then solve the equation for P(t)
P(t) = 19,300(5)^t
Replace P(t) with t and t with P(t)
So we have
t = 19,300(5)^P(t)
Now make P(t) subject of formula
divide both sides by 19,300
t/19,300 = 5^p(t)
By logarithmic law:
Log5 (t/19,300) = P(t)
Hence P(t) = Log5 t - Log5 19,300
Now replace P(t) with P^-1(t)
So the inverse is;
P^-1(t) = Log5 t - Log5 19,300
Answer:
C)
Step-by-step explanation:
got it right on edge :)
the cost of a ticket will be no more than $26
Answer:
what is the question exactly??
can you please elaborate...
Step-by-step explanation:
Someone text me on sc queenalyssa_05 :)
Answer:
No
Step-by-step explanation:
Answer:
Why... Um... ok
Step-by-step explanation:
Brad is hoping to package exactly 48 baseballs together. He sees the side of a box in his storeroom that is 2 x 3. What is he hoping the other dimension is? please help me out! I need the eqation and answer and a drawing of it too! Please help me out!
The given dimensions of the base of the box are 2 x 3 units.
Let h be the height of the box.
So, the volume of the box = 2 x 3 x h ...(i)
The shape of baseball is spherical and one baseball fits in a cubical box having the minimum dimensions equal to the diameter of the spherical ball.
Assuming the diameter of the baseball is d units.
So, the volume occupied by one baseball= volume of the cubical box having the side [tex]d[/tex] units.
[tex]=d^3[/tex] cubic units
So, the volume required to pack 48 baseballs
[tex]= 48 d^3 \cdots(ii)[/tex]
Assuming that all the baseballs fit in the box, i.e peripheral balls in every horizontal and vertical layer touched the box as shown in the figure.
So, the length, 3 units and the width, 2 units, must be the integral multiple of the diameter, [tex]d[/tex] units, of the baseball. i.e
The length, [tex]3 = ad\cdots(iii)[/tex]
The width, [tex]2=bd\cdots(iv)[/tex]
The height, [tex]h=cd\cdots(iv)[/tex]
where [tex]a,b[/tex] and [tex]c[/tex] belong to the natural number.
This required volume must be equals to the volume of the box.
From equations (i) and (ii),
[tex]2\times 3\times h=48d^3[/tex]
[from (iii) and (iv)]
[tex]\Rightarrow abhd^2=48d^3[/tex]
[tex]\Rightarrow h=\frac{48d^3}{6abd^2}[/tex]
[tex]\Rightarrow h=\frac{48}{ab}d[/tex]
On comparing with the equation (iv)
[tex]c=\frac{48}{ab}\cdots(v)[/tex]
Now, if the diameter of the baseball is unity,i.e, d=1 unit
( integer) and (integer) [from (iii) and (iv)]
(also an integer) [from (v)]
Now, the height of the box,
[tex]h=8 \times 1= 8[/tex] unit.
Hence, the other dimension of the box, is 8 units corrosponding to the unity diameter of the baseball.
Note the height of the box depends on the diameter of the baseball, so it will have infinite possible value for different value of the diameter.
For example, the value of height for d=1 unit has been shown.
and another example may be if units, then (integer) and (integer)
(also an integer) [from (v)]
Now, the height of the box,
[tex]h=2 \times 0.5= 1[/tex] unit. [from (iv)]
Here, the height of the box is 2 units corrosponding to 0.5 unit diameter of the baseball.
The possivle values of d can be taken for which [tex]a,b[/tex] and [tex]c[/tex] must be integers.
Solve: 3(g − 2) = 8
Answer:
g=4⅔
Step-by-step explanation:
3(g - 2)=8
3g -6 = 8
3g= 8+6
3g= 14
[tex] \frac{3g}{3} = \frac{14}{3} [/tex]
g=4⅔
hope this helps
Step-by-step explanation:
3(g - 2) = 8
3(g - 2) = 8
+ 2 +2
3g = 8
3÷3= 0 8÷3 = 4.6
so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Answer:
The answer is
[tex] \huge y = 4x - 22[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (3, -10) and the slope 4
We have
[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]
We have the final answer as
[tex]y = 4x - 22[/tex]
Hope this helps you
Answer:
y+10=4(x-3) in point-slope form
Step-by-step explanation:
In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.
1 1/6 ÷ 2 1/3 Multiplying and dividing mixed numbers
Answer:
7/6x3/7===21/42=== 1/2
Step-by-step explanation:
PLS ANSWER THIS CORRECTLY AND GET 30 PTS AND BRAINLY
Answer:
(-0,1)
Really sorry if it's wrong! Have a good day!!
(10 Points) Question In Picture:
Answer:
10. you're welcome, good Luckk!
Select three ratios that are equivalent to
16
:
12
16:1216, colon, 12.
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
8
:
6
8:68, colon, 6
(Choice B)
B
32
:
24
32:2432, colon, 24
(Choice C)
C
4
:
3
4:34, colon, 3
(Choice D)
D
12
:
8
12:812, colon, 8
(Choice E)
E
24
:
16
24:16
Answer:
A,B,C
Step-by-step explanation:
When you divide 16 by 12 you get 1.3 repeating. When you divide A , B , C by their numbers you get 1.3 repeating also. But D and E equal 1.5 so that's how you know those to answers are incorrect:)
glad to help!
The equivalent ratio are 8:6, 32:24 and 4:3
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ratio = 16 : 12
Simplifying the ratio
= 16/12
= 4/3
So, first 8:6
= 4: 3
and, second 32:24
= 4:3
and, third = 4:3
and, fourth 12 : 8
= 3:2
Hence, the equivalent ratio are 8:6, 32:24 and 4:3
Learn more about ratio here:
https://brainly.com/question/13419413
#SPJ5
Determine the x- and y-intercepts of the graph of y =
graph of Y = 1x – 2
Answer:
x is 8 and y is -2
Step-by-step explanation:
Find a equation of the line for which (5,10) is a point on the line
Answer:
you go to the right 5 and go up 10
Step-by-step explanation:
Please answer correctly for brainliest
Answer:
x ≥ 15
Step-by-step explanation:
5x + 3 ≥ 48
Group like terms
5x ≥ 48 – 3
5x ≥ 45
divide both sides by 5
5x/5 ≥ 45/5
x ≥ 15
7x - 4y = -19
14x - 7y = -28
What is 1/12 of 96? PLEASE HELP I AM TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
jkl
Step-by-step explanation:
jkl
4y+13x-5+6y-x simplified
Answer:
[tex]12x+10y-5[/tex]
Step-by-step explanation:
[tex]4y+13x-5+6y-x[/tex]
Combine the like terms
[tex]12x+10y-5[/tex]
Mai biked 634 miles today, and Noah biked 472 miles.
How many times the length of Noah's bike ride was
Mai's bike ride?
Answer:
1.34 times the length of Noah's bike ride
Step-by-step explanation:
634/472
1.34322033898
1.34
1.34 times the length of Noah's bike ride
(03.02 LC)
ABCD is a rectangle. What is the value of x?
A
56 m
B
65 m
xm
D
C
y > 3x + 1
2x + 3y 2 6
Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?
Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, 88 s, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is 88 s.
This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
[tex]8=\underline{2}\times 2\times 2[/tex]
[tex]22=\underline{2}\times 11[/tex]
Common is 2.
Therefore the LCM will be:
[tex]2\times 2\times2\times 11 = \bold{88}[/tex]
So, the answer is 88 s.
What’s is the answer to this problem
Answer:
B.2≤x≤5
Step-by-step explanation:
Answer:
Option B is the correct answer
Step-by-step explanation:
[tex] 2 \leqslant x \leqslant 5[/tex] is the domain of the given problem.
Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to 24,500 in 4 years. The population of town B grew from 31,200 to 34,770 in 6 years. The population of town C grew from 18,000 to 22,000 in 5 years. The population of town D grew from 32,000 to 34,100 in 3 years. Which town had the greatest average change in population over the corresponding time period?(1 point)
Answer:
Town C.
Step-by-step explanation:
Average change of population with time for town A = [tex] \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625 [/tex]
Average change of population with time for town B = [tex] \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595 [/tex]
Average change of population with time for town C = [tex] \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800 [/tex]
Average change of population with time for town D = [tex] \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700 [/tex]
Town C had the greatest average change in population over time (800/yr).
Answer:
its c
Step-by-step explanation:
Andre bought a new bag of cat food. The next day, he opened it to his cat. The graph shows how many ounces was left in the bag on the days after it was bought. How many ounces of food were in the bag 24 days after Andre bought it?
Answer:
There were 16 ounces of Cat Food after 24 days.
Step-by-step explanation:
From the graph attached,
For an ordered pair (x, y) lying on the graph,
x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.
Now the value x = 24 on x-axis shows the number of days since the bag was bought.
For x = 24, ounces of cat food in the bag ( y ) = 16 ounce
Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.
16 ounces of cat food was in the bag, on 24th day
Given : The y axis represents dependent variable ie the 'ounces of cat food' , and x axis represents independent variable ie 'days since bag was bought'
To find : Value of y ie ounces of food - on a particular value of x ie days since bag bought , we draw a straight vertical line from value of x to the curve & correspond it to y axis.
From x = 24, if we draw a straight vertical line to the graph - it touches the point ( x,y ) = (24, 16). Extending it further to y axis, we get value of y ie 'ounces of food' = 16
To learn more, refer https://brainly.com/question/18385183?referrer=searchResults
An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.
Answer:
The instantaneous velocity of the eagle at the given time is 7.5 m/s.
Step-by-step explanation:
Given;
height of the cliff, h = 125 m
the height at which the eagle is flying, h(t) = 125 + 1.25t²
The velocity of the eagle is given by;
v = dh/dt
v = 2.5t
The instantaneous velocity of the eagle at t = 3 seconds is given by;
v = 2.5(3)
v = 7.5 m/s
Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is 7.5 m/s.