When a line passes through two points on a plane, according to Euclidean geometry, that line is on the same plane as the points-the correct statement is Statement C.
Explanation:In the context of the four statements given about a line passing through two points on a plane, only Statement C is correct. According to Euclidean geometry, specifically the concept of a plane, if a line passes through two points on a plane, the line is indeed on the same plane as the points. To further clarify this mathematical rule, you can picture a page of a book as the plane, and any line drawn between two points on the page is considered to be on the same plane as the points.
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The correct statement is Statement C: The line is on the same plane as the points.
Explanation:The correct statement regarding a line passing through two points on a plane is Statement C: The line is on the same plane as the points. A line that passes through two points on a plane is always on the same plane as those points. Since a plane is a flat surface that extends infinitely in all directions, any line that lies on the same plane as the points will also lie on that plane.
For example, if we have two points A and B on a flat table, any line that passes through those points will also lie on the table itself, and thus, on the same plane as the points.
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Question
George invested $4400 in an account with annually compounded interest. After 5 years, he had $5790 in the account. What
was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign,
Answer:
The rate of interest was approx 5.64%.
Step-by-step explanation:
The compound interest formula is :
[tex]A=p(1+\frac{r}{n} )^{nt}[/tex]
Here p = 4400
r = ?
n = 1
t = 5
A = 5790
Now putting the values in formula we get;
[tex]5790=4400(1+\frac{r}{1} )^{5}[/tex]
=> [tex]5790=4400(1+r )^{5}[/tex]
=> [tex]\frac{5790}{4400} =(1+r )^{5}[/tex]
=> [tex]1.316=(1+r )^{5}[/tex]
=> [tex]1+r=\sqrt[5]{1.316}[/tex]
r = 0.0564
In percentage it is [tex]0.0564\times100[/tex] = 5.64%
Hence, the rate of interest was approx 5.64%.
When an oil tank is 7/12 full, it contains 5 1/4gallons. How many gallons does it hold when full?
Final answer:
To determine the full capacity of the tank, the amount of oil it contains when it is 7/12 full (5 1/4 gallons) is divided by 7/12. After conversion and calculation, the full capacity is found to be 9 gallons.
Explanation:
The student's question asks, "When an oil tank is 7/12 full, it contains 5 1/4 gallons. How many gallons does it hold when full?" To find the full capacity of the tank, we divide the amount of oil when the tank is partially full by the fraction representing how full it is.
First, convert 5 1/4 gallons to an improper fraction: 5 1/4 = 21/4 gallons. Then divide this amount by 7/12 to find the full capacity.
Full capacity = (21/4) ÷ (7/12) = (21/4) × (12/7) = (21×12) / (4×7) = 252 / 28 = 9 gallons.
So, the full capacity of the oil tank is 9 gallons.
5(2-x) is greater than or equal to -5(x+8)
Answer:
greater than
Step-by-step explanation:
5(2-x) = 10-5x
-5(x+8)= -5x-40
How can I Factor 9x2-1
Answer:
17 = 17^1
Step-by-step explanation:
Factor the following integer:
17
17 is not divisible by 2 since 17 is odd and 2 is even:
17 = 17 (17 is not divisible by 2)
The sum of the digits of 17 is 1 + 7 = 8, which is not divisible by 3. This means 17 is not divisible by 3:
17 = 17 (17 is not divisible by 2 or 3)
The last digit of 17 is not 5 or 0, which means 17 is not divisible by 5:
17 = 17 (17 is not divisible by 2, 3 or 5)
Divide 7 into 17:
| | 2 | (quotient)
7 | 1 | 7 |
- | 1 | 4 |
| | 3 | (remainder)
17 is not divisible by 7:
17 = 17 (17 is not divisible by 2, 3, 5 or 7)
The alternating sum of the digits of 17 is 1 - 7 = -6, which is not divisible by 11. This means 17 is not divisible by 11:
17 = 17 (17 is not divisible by 2, 3, 5, 7 or 11)
Divide 13 into 17:
| | | 1 | (quotient)
1 | 3 | 1 | 7 |
| - | 1 | 3 |
| | | 4 | (remainder)
17 is not divisible by 13:
17 = 17 (17 is not divisible by 2, 3, 5, 7, 11 or 13)
No primes less than 17 divide into it. Therefore 17 is prime:
17 = 17
Since 17 is prime it has an exponent of 1:
Answer: 17 = 17^1
Answer:
(3x - 1)(3x + 1)
Step-by-step explanation:
9x² - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
here 9x² = (3x)² ⇒ a = 3x and 1 = 1² ⇒ b = 1, thus
9x² - 1
= (3x)² - 1²
=(3x - 1)(3x + 1) ← in factored form
46. Construct Arguments A one-year prepaid
membership at Gym A costs $250 plus $19 per
month for the second year. A one-year
prepaid membership at Gym B costs $195 plus
$24 per month for the second year. Leah says
the cost for both gym memberships will be the
same after the 11th month of the second year.
Do you agree? Explain.
Answer:
yes the first one is best answer because its a lower # to pay over time Step-by-step explanation:
The scale of a map is 1 cm : 79 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer: 316 km
Step-by-step explanation:
If the scale is 1 cm is equal to 79 km, and you have to find the real distance of 4 cm, then you would just multiply 4 times 79:
4 x 79 = 316
giving you your answer of 316 kilometers. Hope this helps!
Answer:
316
Step-by-step explanation:
4x79=316
Paul wants to gift wrap the boxes. He has 1,000.00 square inches of wrapping paper. Does Paul have enough to wrap all three boxes?
Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C. Which transformations could have taken place to map △ABC to △A"B"C"? a reflection and a dilation a rotation and a dilation a translation and a dilation a reflection and a translation
PLEASE I NEED HELP ASAP
A smaller shape would be a dilation.
A move to the right would be a transition. (As long as the letters for the triangle are in the same orientation).
The answer should be:
A dilation a translation
There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.
The transformations that transform [tex]\triangle ABC[/tex] to [tex]\triangle A"B"C"[/tex] are a translation and a dilation.
Given that:
[tex]\triangle A"B"C"[/tex] is smaller than [tex]\triangle ABC[/tex]
This means that sides of [tex]\triangle ABC[/tex] were dilated (i.e. compressed) to give the sides of [tex]\triangle A"B"C"[/tex]
Also:
[tex]\triangle A"B"C"[/tex] is at the right of [tex]\triangle ABC[/tex]
This means that [tex]\triangle ABC[/tex] was translated (i.e. shifted) to give [tex]\triangle A"B"C"[/tex]
Hence, the correct option is: a translation and a dilation.
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A given line has the equation 10x+2y=−2 . What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y=−5x+12 5x+y=12 y−12=5(x−0) 5x+y=−1
Answer:
y = -5x + 12
Step-by-step explanation:
10x + 2y = −2
-10x - 10x
_______________
2y = -10x - 2
__ ________
2 2
y = -5x - 1, [0, 12] ∥↷
12 = -5[0] + b
0
12 = b
y = -5x + 12
I am joyous to assist you anytime.
Answer: [tex]y=-5x+12[/tex] or [tex]5x+y=12[/tex]
Step-by-step explanation:
The given equation of a line: [tex]10x+2y=-2[/tex]
Rewrite equation of line in slope intercept form (y=mx+c) by subtracting 10 on both sides and then divide both sides by 2, we get
[tex]y=-5x-1[/tex]
Slope of line : m= -5 [Coefficient of x]
Since , the slope of two parallel lines are equal.
Then, slope of line parallel to given line= -5
Equation of a line passing through point (a,b) and has slope p is given by :-
[tex](y-b)=p(x-a)[/tex]
Similarly, Equation of a line passing through point (0,12) and has slope -5 is given by :-
[tex](y-12)=(-5)(x-0)\\\\\Rightarrow\ y-12=-5x\\\\\Rightarrow\ 5x+y=12[/tex]
HELP ASAP ILL GIVE YOU BRAINLEST
Answer:
f(x) = x² + 2x - 3
Step-by-step explanation:
From the graph the zeros are x = - 3 and x = 1
Thus the factors are (x + 3) and (x - 1) and
f(x) = (x + 3)(x - 1) ← distribute using FOIL
= x² - x + 3x - 3
= x² + 2x - 3
Hi the question is done below pls answer for 60points
Answer:
Scalene Right i would believe!
Step-by-step explanation:
Val rented a bicycle while she was on
vacation. She paid a flat rental fee of $55.00,
plus $8.50 each day. The total cost was
$123. Write an equation you can use to find
the number of days she rented the bicycle
Answer:
8.50x+55=123
Step-by-step explanation:
x will be the number of days, then the daily fees are 8.50x. Since there is a flat fee of $55, the total fees are 8.50x+55
4a - b = 3, solve for a
Answer: your answer is
7a hope this helps you
Step-by-step explanation:
Answer:
[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]
Step-by-step explanation:
4a - b = 3
+ b + b
4a = 3 + b
Divide 4 on both sides.
[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]
Distributive Property- Simplify each expression:
-10x(4 + 6x)
Answer: =−60x2−40x
Step-by-step explanation:
(−10x)(4+6x)
=(−10x)(4+6x)
=(−10x)(4)+(−10x)(6x)
=−40x−60x2
=−60x2−40x
Find two points that lie on a line with slope -9
Where's the picture? I need to see the graph first. I wouldn't be able to find the 2 points if i couldn't see graph
-4×-y=24 to find the x-vlue that corresponds to y=8 let's substitute this y-vlue In the equation
-4x - y = 24
Let y = 8
-4x - 8 = 24
-4x = 24 + 8
-4x = 32
You finish.
how do i add a negative integer and a postive integer
Answer:
See below.
Step-by-step explanation:
Step 1.
Take the absolute value of the negative number.
Now both numbers are positive.
Step 2.
Subtract the smaller positive number from the larger positive number.
Step 2.
The sign of the answer is the same sign as the number with the larger absolute value.
Answer:
To add a negative integer and a positive integer, just think of changing the negative integer to a positive one and subtracting this from the original.
Step-by-step explanation:
To add a negative integer and a positive integer, just think of changing the negative integer to a positive one and subtracting this from the original.
For example: 7 + -5. If you look, You are adding 5 negatives to a 7: you are subtracting 5 from 7. Subtracting a negative integer is the same as adding.
6 - -7, for example. You are subtracting 7 negatives from 6, or adding 7 to 6.
Based on location of the original figure, in which quadrant Will the figure be after rotating?
Answer:
Step-by-step explanation:
Betsy spends her entire allowance one month. She spends 1/2 on new clothes, 1/5 on food, 1/5 on movies, and 1/10 on music. How much more does she spend on clothes than she does on movies?
A) 1/5 of her allowance C) 3/10 of her allowance
B) 1/2 of her allowance D) 1/10 of her allowance
Answer: The answer is C because 1/2 - 1/5 = 3/10
Simplify the variable expression below as much as possible.
8x + 4 + 8x-1
The simplified version of the expression 8x + 4 + 8x - 1 is 16x + 3 by combining like terms and simplifying the constants.
Explanation:To simplify the variable expression 8x + 4 + 8x-1, we will first combine all of the like terms.
In this expression, the like terms are 8x and 8x, so add these together to get 16x. Now we're dealing with the expression 16x + 4 - 1.
Next, simplify the constants by executing the addition and subtraction. 4 - 1 equals 3, so now we get 16x + 3.
Therefore, the simplified variable expression is 16x + 3.
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Why would a person choose a PPO over an HMO?
Answer:
With an HMO plan, you pick one primary care physician. All your health care services go through that doctor. That means that you need a referral before you can see any other health care professional, except in an emergency. Visits to health care professionals outside of your network typically aren’t covered by your insurance.
PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.
Staying inside your network means smaller copays and full coverage. If you choose to go outside your network, you'll have higher out-of-pocket costs, and not all services may be covered.
This got me 100% on the assignment!
PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.
Staying inside your network means smaller copays and full coverage.
HMO providers are paid on a per-member basis, regardless of the number of times they see a member.
This makes HMO plans a more economical choice than PPOs. An HMO generally only covers care received from the plan's contracted providers, known as “in-network” providers.
PPO plans generally are more expensive than HMO plans. However, due to the pooling of people in a PPO network, fees associated with health care will be lower for participants.
In other words, you will pay far less for services if you are in a PPO plan vs. not having insurance at all.
So, the person choose a PPO over a HMO.
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The amount of rainfall each month over the past four years is shown below
Answer: C
Step-by-step explanation: On Edge 2020
D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
What is Symmetrical Graph?A graph is said to be symmetric about a line if the graph remains unchanged when we reflect the graph on one side of the line to the other side.
Given is a histogram representing the amount of rainfall in the last 4 years or 48 months.
So the graph is symmetrical if we draw a line at the point 3.
Amount of rainfall is 0 - 1 inches for first 11 months. Then it is 1.01 - 2 inches for the next 8 months. Then 2.01 - 3 for the next 5 months and again 3.01 - 4 for the next 5 months. Then it is 4.01 - 5 and 5.01 - 6 for the next 8 years and 11 years respectively.
19 months has the rainfall less than 2.01 inches.
19 months has the rainfall greater than 4 inches.
Only 48 - (19 + 19) = 10 months are having rainfall in between 2.01 and 4.
So majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
Hence the correct option is D.
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Your question is incomplete. The complete question with the missing part is below.
The amount of rainfall each month over the past four years is shown below.
Which statement must be true according to the histogram?
A) The data is skewed, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.
B) The data is skewed, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
C) The data is symmetrical, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.
D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
What is 4 divided by 29 in decimal ok
0.13793103448
Just simple long division.
m<ZHG = 11x - 1, m<ZIHZ=24°
and m<IHG = 12x + 13. Find m<IHG.
Answer:
m<IHG=133°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m<ZHG+m<IHZ= m<IHG -----> by angle addition postulate
substitute the given values and solve for x
11x-1+24=12x+13
Combine like terms
11x+23=12x+13
Group terms that contain the same variable
12x-11x=23-13
x=10
Find the measure of angle IHG
substitute the value of x
m<IHG= 12(10)+13 =133°
If angle jnp =2x+3 and angle knl =3x-17 and angle knj =3x+34 find the measure of each angle
Answer:
m∠JNP=43°
m∠KNJ=94°
m∠KNL=43°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠JNP+m∠KNJ+m∠KNL=180° ----> by definition of supplementary angles
we have
m∠JNP=(2x+3)°
m∠KNJ=(3x+34)°
m∠KNL=(3x-17)°
substitute the values
(2x+3)°+(3x+34)°+(3x-17)°=180°
Combine like terms in the left side
(8x+20)=180
Subtract 20 both sides
8x=180-20
8x=160
x=20
Find the measure of m∠JNP
m∠JNP=(2x+3)°
substitute the value of x
m∠JNP=(2(20)+3)=43°
Find the measure of m∠KNJ
m∠KNJ=(3x+34)°
substitute the value of x
m∠KNJ=(3(20)+34)=94°
Find the measure of m∠KNL
m∠KNL=(3x-17)°
substitute the value of x
m∠KNL=(3(20)-17)=43°
The length of a rectangle is 2 m greater than the width. The area is 168 m2 Find the length and the width
Answer:
Length = 14m
Width = 12m
Step-by-step explanation:
The length of a rectangle is 2m greater than the width.
The area of the rectangle = 168m²
Let's say the width is x meters.
The length will be (x + 2) meters.
Area of a rectangle = length × width
x(x + 2) = 168
x² + 2x - 168 = 0
Solving x by applying the quadratic formula we get;
x = 12 or -14
Since the width cannot be negative, we take 12 meters to be the dimensions of the width.
The length = 12 + 2 = 14 meters.
To find the length and width of the rectangle, we formulate an equation based on the known relationship between the dimensions and the given area. Solving the equation, we get the width as 12 m and length as 14 m.
Explanation:The question is about finding the length and width of a rectangle given the area and a relationship between the two dimensions. We can set up an equation based on the information given and the formula for the area of a rectangle. Namely, the area of a rectangle is equal to its length multiplied by its width (A = lw).
According to the problem, the length of the rectangle is 2 m more than the width. We can express this relationship as L = W + 2. We also know that the area of the rectangle is 168 m2, which results in the equation (W + 2)W = 168.
Solving this quadratic equation, we find that the width (W) is 12 m and the length (L) is 14 m. These are the dimensions of the rectangle.
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What is the value of x?
x − 1/6 = 8
Enter your answer in the box in simplest form.
Answer:
8 1/6
Step-by-step explanation:
X - 1/6 = 8
Carry over the 1/6
X = 8 + 1/6
X = 8 1/6
To find out if X is correct
X (8 1/6) - 1/6 = 8
what is 20% of 90? please help please please please
Answer:
18
Step-by-step explanation:
90 times 0.20 = 18
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 90}}{\left( \cfrac{20}{100} \right)90}\implies 18[/tex]
13.) 2x + y - z= 5
+ x +4y +2z = 16
15x +6y – 2z= 12
Solve
Answer:
that's... no
Step-by-step explanation:
ok there is no way this is a thing
f(x)=-2x+1; {-2,0,2,4,6} Find the range of the function for the given domain.
Answer:
For the domain indicated, the range is {-11, -7, -3, 1, 5}
Step-by-step explanation:
Given the indicated domain of f(x) you have to replace the values in the function to find the range (the "y" values of the function).
f(-2) = 5
f(0) = 1
f(2) = -3
f(4) = -7
f(6) = -11.
So the range for this domain is {-11, -7, -3, 1, 5}
Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].
What is the function?
A function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.
Here given function is [tex]f(x)=2x+1;(-2,0,2,4,6)[/tex].
So,
[tex]f(-2) =- 2(-2)+1\\\\=4+1\\\\=5\\\\f(0) = -2(0)+1\\\\=1\\\\f(2) =-2(2)+1\\\\ =-4+1\\\\=-3\\\\f(4) =-2(4)+1\\\\ =-8+1\\\\=-7\\\\f(6) = -2(6)+1\\\\=-12+1\\\\=-11.\\[/tex]
Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].
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