The point divides the line in the respective ratios. The correct matches are done.
What is division of line?When a point lies on the line such that is gets divided into the ratio is said to be the division of line.
The coordinates of point can be find out by the following formula.
x = mx₂ +nx₁ / m+n and y = my₂ +ny₁ / m+n
For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.
Substituting the values, we get
-3.6 = 2x₂ +3x₁ / 2+3 and -3.4 = 2y₂ +3y₁ / 2+3
2x₂ +3x₁ = -18 and 2y₂ +3y₁ = -17
The above equations are satisfied by the points A(-2,-1) and B (-6,-7)
For, Point C(4, 1.6) divides in the ratio 3 : 2.
Substituting the values, we get
4 = 3x₂ +2x₁ / 2+3 and 1.6 = 3y₂ +2y₁ / 2+3
3x₂ +2x₁ = 20 and 3y₂ +2y₁ = 8
The above equations are not satisfied by any of the points.
For, Point C(3.5, -2.5) divides in the ratio 1 : 7.
Substituting the values, we get
3.5 = 1x₂ +7x₁ / 1+7 and 1.6 = y₂ +7y₁ /1+7
x₂ +7x₁ = 28 and y₂ +7y₁ = -20
The above equations are not satisfied by any of the points.
For, Point C(8, 9) divides in the ratio 5 : 3.
Substituting the values, we get
8 = 5x₂ +3x₁ /5+3 and 9 = 5y₂ +3y₁ /5+3
5x₂ +3x₁ =64 and 5y₂ +3y₁ = 72
The above equations are satisfied by the points A (3,4) and B(11, 12).
For, Point C(-2, 5) divides in the ratio 2 : 6.
Substituting the values, we get
-2 = 2x₂ +6x₁ /2+6 and 5 = 2y₂ +6y₁ /2+6
2x₂ +6x₁ =-16 and 2y₂ +6y₁ = 40
The above equations are satisfied by the points A (-5,2) and B(7,14).
For, Point C(0,1) divides in the ratio 4 : 7.
Substituting the values, we get
0 = 4x₂ +7x₁ /4+7 and 1= 4y₂ +7y₁ /4+7
4x₂ +7x₁ = 0 and 4y₂ +7y₁ = 11
The above equations are satisfied by the points A (4,-3) and B(-7,8).
Thus, all the equations are joined with their satisfying points.
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According to the line of best fit, about how many words would a person remember after being distracted by 7 text messages? 4 5 6 7
Using the line of best fit, it is found that a person would remember 5 words after being distracted by 7 text messages.
What does the line of best fit states?Researching the problem on the internet, it is found that it states that the number of words a person remembers after being distracted by x text messages is given by a linear function.
Looking at the line, it is found that when x = 7, N(x) = 5, hence a person would remember 5 words after being distracted by 7 text messages.
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solution for -2 1/3 divided by 4 2/3
Answer:
-0.5
Step-by-step explanation:
what is the mean median and mode of 3,721,23,63,27,29,95 and 23?
Answer:
Mean: 123
Median: 28
Mode: 23
Step-by-step explanation:
give brainliest
Answer:
Mean = 123, Median = 28 , Mode = 23
Step-by-step explanation:
Mean is the average of all the numbers.
Mean = [tex]\frac{3+721+23+63+27+29+95+23}{8} \\= \frac{984}{8} \\= 123[/tex]
Median is the middle most value of the numbers when arranged in ascending order. (Average of the 2 middlemost numbers if there are even number of values.)
Arranged Values: 3,23,23,27,29,63,95,721
Median = [tex]\frac{27+29}{2} \\= \frac{56}{2} \\= 28[/tex]
Mode is the value that occurs the most in the numbers.
Mode = 23
12345678910111213141516
Step-by-step explanation:
oh, come on. you can just use common sense.
a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.
for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).
a)
the local minimum values (y) are
-2, -1
b)
the values of x where it had these minimum values are
-1, +3
Name all of the obtuse angles that share a side with angle VON
A. Angles NOS, NOP, NOQ, VOS, VOQ, VOP
B. Angles NOS, NOT, NOV, VOR, VOU, VOP
C. Angles NOS, NOT, NOR, VOR, VOQ, VOP
D. Angles NOS, NOT, NOU, VOR, VOQ, VOP
The angles NOS, NOT, NOU, VOR, VOQ, VOP are obtuse angles
What is an Obtuse Angle ?An angle whose measure is more than 90 degree is called an obtuse angle.
In the given figure , the angles which have value more than 90 degree needs to be found.
The angles NOS, NOT, NOU, VOR, VOQ, VOP are obtuse angles as their measure is more than 90 degree.
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20 ft
The ceiling of Stacy's living room is a square that is 20 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 20 ft.
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
The value of the diagonal will be equal to 20√2.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
The value of the diagonal by the Pythagorean theorem.
H² = B² + P²
H² = 20² + 20²
H² = 400 + 400
H = √800
H = 20√2
Therefore the value of the diagonal will be equal to 20√2.
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In circle O, ST is a diameter.
Circle O is shown. Line segment S T is a diameter. Line segments R O and U O are radii. Angles R O U and U O T are congruent. The measure of arc R S is (2 x + 8) degrees, the measure of arc R U is (3 x minus 14) degrees, and the measure of arc U T is (3 x minus 14) degrees.
What must be the value of x?
22.0
25.0
25.4
37.2
The value of x must be 25.0. The correct option is the second option- 25.0
Solving Linear equationsFrom the question, we are to determine the value of x
From the given diagram, we can write that
m ∠SOR + m ∠UOR + m ∠TOU = 180° (Sum of angles on a straight line)
∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°
2x° + 8° + 3x° -14° + 3x° -14° = 180°
Collect like terms
2x° + 3x° + 3x° + 8° - 14° -14° = 180°
8x° -20° = 180°
8x° = 180° + 20°
8x° = 200°
x = 200/8
x = 25.0
Hence, the value of x must be 25.0. The correct option is the second option- 25.0
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Answer:
25.0
Step-by-step explanation:
just took it
\
A bank converts U.S. dollars to European euros at a rate of $1 for 0.88 euros. Kelsey wants 100 euros for her trip to Europe.
How much money, in dollars, does Kelsey need to give the bank
Answer:
$113.64
Step-by-step explanation:
0.88 x $113.636364 = 100 euros
= $113.64
(Hope this helps ^-^)
Rita is ordering 4 bags of cat food from canada. each bag has a mass of 2.5kg . to determine the shipping costs, rita needs to know the total weight in pounds. what is the weight of the cat food in pounds?
Answer:
total weight in pounds = 22 lb
Step-by-step explanation:
Let's first find out the total weight in kilograms.
total weight = 4 x 2.5 kg = 10 kg
The approximation for kilograms (kg) to pounds (lb) is 1 kg = 2.2 lb.
So if 1 kg is 2.2 lb, 10 kg is 10 times more.
10 kg = 10 x 2.2 lb = 22 lb
Ann bought 2 pounds of cheese to make lasagna. the recipe gives the amount of cheese needed in ounces. how many did she buy?
Answer:
Ann bought 32 ounces of cheese.
Step-by-step explanation:
First of all, that is a lot of cheese, I hope she is not lactose intolerant.
Second of all, one pound is equivalent to 16 ounces. Given this, we can multiply the pounds of cheese by 16.
That would look like 2×16=32.
I hope this answer helped you and also made you laugh. It is correct though, despite the comedy.
Peter has 5 times as much Money as Bala.
They have $1674 in total.
How much more money has Peter than bala
Answer:
Bala = 279$
Peter = 1395$
Step-by-step explanation:
Peter has 5 times as much Money as Bala.
They have $1674 in total.
How much more money has Peter than bala
Bala has 1 unity
Peter has 5 unity
total unity = 6
Find 1 unity
1674 : 6 = 279
Bala = 279
Peter = 5 * 279 = 1395
Please help me identify the graph
Answer: F
Step-by-step explanation:
We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.
This eliminates D and E.Also, its modulus is the distance from the origin, which in this case is [tex]\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16[/tex]
The answer that best matches this is F
Which of the following best describes the pattern in the diagram shown below? 2 3 O A. As you move from left to right, the number of points in the star decreases by 1. OB. As you move from left to right, the number of points in the star increases by 1. O C. As you move from right to left, the number of points in the star increases by 1. O D. As you move from left to right, the number of points in the star remains the same.
The population of a town is growing exponentially and can be modeled by the
equation f(t) = 42. e(0.015). The population is measured in thousands, and time is
measured in years 1950.
C. According to this model approximately what is the population in 1960?
The population of the town in 1960 is 48.80 thousands
How to determine the population in 1950?The equation of the model is given as:
f(t) = 42e^(0.015t)
1960 is 10 years after 1950.
This means that:
t = 10
Substitute t = 10 in f(t) = 42e^(0.015t)
f(10) = 42e^(0.015 * 10)
Evaluate
f(10) = 48.80
Hence, the population of the town in 1960 is 48.80 thousands
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which statements are true regarding undefinable terms in geometry?
Identify whether the change represent growth or decay and determine the percentage rate increase or decrease in y= 16(1.059)^z
Answer: Growth rate of 5.9%
Step-by-step explanation:
Since 1.059>1, it represents growth.
[tex]1+r=1.059 \\ \\ r=0.059=\boxed{5.9\%}[/tex]
Review the graph of 2x – 7 – 3 ≥ y.
On a coordinate plane, a curve goes through (0, negative 3) and increases up through (8.5, 0) and (10, 5). Everything below the line is shaded and is labeled 2 Superscript x minus 7 Baseline minus 3 greater-than-or-equal-to y.
What is the least integer value that satisfies the inequality 2x – 7 ≥ 3?
7
8
9
10
The least integer value that satisfies the inequality [tex]2^{x-7} - 3[/tex] ≥ y is 7.
What is Exponential function?
Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.
Here, In the given function
Least possible value of 2ˣ⁻⁷ is 1
2ˣ⁻⁷ = 2⁰
On comparing both sides, we get
x-7 = 0
x = 7
Thus, The least integer value that satisfies the inequality 2ˣ⁻⁷-3≥ y is 7.
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Answer:
7
Step-by-step explanation:
edg 2022
The quadratic function
d=-9x² + 40 models a
skateboarder's distance, in
feet, from the bottom of a hill
x seconds after the skateboarder
starts moving down the hill.
After how many seconds is the
skateboarder 4 ft from the
bottom of the hill?
A) 3s B) 4s C) 2s D) 3.5s
Please help!! Also if you could explain that would be great! Tysm!
Answer:
C
Step-by-step explanation:
equate d to 4 and solve for t , that is
- 9x² + 40 = 4 ( subtract 40 from both sides )
- 9x² = - 36 ( divide both sides by - 9 )
x² = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
It takes 2 seconds for the skateboarder to be 4m from bottom of hill
Find f(-2) for f(x) = 3.2.
O A. 2/1
OB.
36
O C. -36
OD. -12
3/4
Answer:
3/4 (A)
Step-by-step explanation:
replace x with -2 in the function
3 · 2^-2 = 3 · 0.25
3 · 0.25 = 0.75
0.75 = 3/4
can someone help me here
NONSENSE=REPORT
[tex] \huge \qquad \sf \: Answer[/tex]
Here we go ~
1. A circle can be named by their Centre, so here in the diagram it's :
Circle A2. Name 4 radii :
Radii are the line segments that joins the centre and boundary of circle.
They are :
FAGABACA3. 2 Major arcs :
considering two points on a circle, and joining them forms a curve ( you can say part of circumference )
When we consider two points two arcs are formed and the arc with more length is known as Major Arc
That is :
Major arc ECFMajor arc BEC4. A Semicircle :
Semicircle is special arc which is formed when two arcs formed by the points are equals to one another... it's also half the Perimeter of circle.
that is :
Arc CF is a Semicircle5. 3 minor arcs :
The arc formed by two points having lesser length is known as minor arc.
that is :
Arc EFArc BGArc FG6. 3 Central angles :
Central angles are angles formed by arcs on centre of the circle ~
that is :
Angle FABAngle BAC Angle GAB7. A diameter :
Diameter is a chord that passes through centre of the circle.
CF8. Congruent Angles :
In the given figure, there are two equal/congruent angles that are ~
Angle BAG and Angle GAF9. Adjacent arcs :
The arcs that have one common end point are known as Adjacent arcs ~
that are :
Arc FG and Arc GBAnswer:
A circle is named by its center. The center of the given circle is A, therefore:
Name of the circle: A
The radius is any line segment from the center of the circle to the perimeter.
Name 4 radii: [tex]\sf AC, \quad AB, \quad AG, \quad A\,F[/tex]
A major arc is an arc whose measure is greater than 180°.
When naming a major arc, the first point and last point are the endpoints, and we also need include the name of any point between those two endpoints.
2 major arcs: [tex]\sf \widehat{CEG},\quad \widehat{BCF}[/tex]
A semi-circle is half a circle with an arc that measures 180°.
Its endpoints lie on the diameter of the circle. We need three points to name a semicircle (the endpoints and a point between the endpoints).
A semi-circle: CEF
A minor arc is an arc whose measure is less than 180°.
3 minor arcs: [tex]\sf \widehat{FG}, \quad \widehat{GB}, \quad \widehat{BC}[/tex]
A central angle has its vertex at the center of the circle, and is formed by 2 radii. When naming the central angle, the middle letter is the center of the circle.
3 central angles: [tex]\sf \angle F\,AG, \quad \angle GAB, \quad \angle BAC[/tex]
The diameter is the widest part of the circle. It is a straight line segment that passes through the center of the circle.
A diameter: CF
Congruent angles are angles with the same measure.
On the diagram, the same angle measures are indicated by the addition of the same number of dashes on the angle sign.
Congruent angles: [tex]\sf \angle F\,AG, \quad \angle GAB[/tex]
Adjacent arcs are arcs that have one point in common.
Adjacent arcs: [tex]\sf \widehat{GB}[/tex] and [tex]\sf \widehat{BC}[/tex] (they share point B)
Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction.
The shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option - A circle with a diameter of 5 feet
Determining shapeFrom the question, we are to determine the statement that describes the shape of the barrier
From the given information,
The barrier is 2.5 feet from the tomato plant in every direction.
This can be likened to a circle that has a radius of 2.5 feet.
Recall: Radius of a circle is the distance from the center of the circle to any point on it's circumference
If radius of a circle is 2.5 feet, the diameter will be 2 × 2.5 feet = 5 feet
Hence, the shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option- A circle with a diameter of 5 feet
Here is the complete question:
Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction. Which statement describes the shape of the barrier?
A circle with a radius of 5 feet
A square with diagonals 5 feet long
A square with sides 5 feet long
A circle with a diameter of 5 feet
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You deposit $4000 in an account earning 7% interest compounded continuously. How much will you have in the account in 10 years?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &10 \end{cases} \\\\\\ A=4000e^{0.07\cdot 10}\implies A=4000e^{0.7}\implies A\approx 8055.01[/tex]
Can I get help with this pls
Answer:
2 [tex]\leq[/tex] x [tex]\leq[/tex] 7
Step-by-step explanation:
See attachment.
the monthly salary of a married couple is rs 405000plua a festival expenses of 30000calculate the income tax paid by the couple in a year
The income tax for the married couples under filing a joint return receives a standard deduction of $25,100.
What is an income tax?An income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction.
In this case, the income tax for the married couples filing a joint return receives a standard deduction of $25,100
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Please Help I Don't Undertand.
If triangles AMN and ABC are similar, then
AM/AB = AN/AC
or
AM/(AM + MB) = AN/(AN + NC)
Check if this is true:
AM/AB = 21/(21 + 9) = 21/30 = 7/10
AN/AC = 14/(14 + 6) = 14/20 = 7/10
The angle at vertex A is common to both of the triangles.
Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.
what’s a positive divided by a negative
Answer:
positive cuz positive is greater than negative
A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the parabola
The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
What is a Parabola ?A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
The equation of the parabola is
(x-2)² = (y+2)
Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
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For what values of x and y is quadrilateral ABCD a parallelogram?
Answer:
x = 6 y = 4Step-by-step explanation:
AB = DC
AD = BC
we use AB and DC
6x - 26 = 8x - 38
-26 + 38 = 8x - 6x
12 = 2x
x = 12 : 2
x = 6
---------------
check
6 * 6 - 26 = 8 * 6 - 38
36 - 26 = 48 - 38
10 = 10
the answer is good
now we use AD and BC
6y + 12 = 3x + 24
-3x + 6y - 12 = 0
3y - 12 = 0
3y = 12
y = 12 : 3
y = 4
----------------------
check
6 * 4 + 12 = 3 * 6 + 24
24 + 12 = 12 + 24
36 = 36
the answer is good
n of the following are factors of x² - 7x - 30 ?
a
(x-3) (x - 10)
B
(x-3) (x + 10)
C
(x - 15) (x + 2)
D
(x - 10) (x + 3)
Answer:
D
Step-by-step explanation:
The mean of a set of 10 number is 56,
If the mean of the first nine is 55 find the 10th number
Answer:
65
Step-by-step explanation:
10*56=5609*55=495560-495=65=65