From the section formula, it was found that the coordinate for the point S is (12,21).
Section Formula
The coordinates of the point S which divides the line AB into two sections can be found from the application of the Section Formula that is presented below:
[tex]S=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex], where
[tex]ratio=\frac{m}{n}[/tex]
[tex]x_1[/tex] and [tex]y_1[/tex] are coordinates of A
[tex]x_2[/tex] and [tex]y_2[/tex] are coordinates of B
Find the point SThe question gives r=[tex]\frac{3}{2}[/tex], A=(21,3) and B=(6,33). From the ratio, you can find m=3 and n=2.
Next step, applying the internal section formula. Then, you have:
[tex]S=(\frac{3*6+2*21}{3+2}, \frac{3*33+2*3}{3+2})\\ \\ S=(\frac{18+42}{5}, \frac{99+6}{5})\\ \\ S=(\frac{60}{5}, \frac{105}{5})\\ \\ S=(12, 21)[/tex]
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#18. estimate the perimeter and the area of the shaded figure to the nearest tenth
Answer:
Area = 22.3 m^2
Perimeter 27.4 m^2
Step-by-step explanation:
Perimeter = __ m
Area __ m^2
The area of the triangle is about 4.2,
The area of the square is 4,
The area of the semicircle is 14.1,
14.1 + 4.2 + 4 = 22.3
Area = 22.3 m^2
9.4 + 6 + 4 + 4 + 4 = 27.4
Perimeter = 27.4 m^2
Therefore the area of the shape is about 22.3 m^2 and the perimeter is about 27.4 m^2.
A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many
of them own a car
Answer:
The survey represents quantitative data and there is greater percentage of LA residents who own cars than NYC residents who do.
[tex]\frac{x+3}{x-3} +\frac{36}{9-x^{2} } =\frac{x-3}{x+3}[/tex]
Answer:
Here is the ans ...hope it helps
Solve -2x + 7 < -41 how do you solve this
Answer:
x>21
Step-by-step explanation:
-2x + 7 < -41 Subtract 7 from both sides
-2x<-48 Divide by negative 2
x>21 When you divide by a negative you have to flip the sign
Answer:
x<28
Step-by-step explanation:
-2x+7<-41
-2x<-48 subtract 7 from both sides
x>24 divide by -2 to both sides
What is the sum of the following equation: (9+5)*43x(23,550-32)*655
Answer:
1,012,632....I'm sure that's is answer
Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most representative group of students for him to surve
A. 50 students at a icecream parlor
B. 5 students at a icecream parlor
C. 50 students at a hamburger restaurant
D. 5 students at a hamburger restaurant
Answer:
A
Step-by-step explanation:
You wont find vegatarians at a hamburger restaurant but you wilk find non vegetarians at a icecream parlor
Find the volume of the cone. Round your answer to the nearest tenth. A cone is shown. Its height is 3 meters and the diameter of the base is 6 meters. The volume of the cone is about a cubic meters.
Answer:
The answer to this question should be 28.3
Help ASAP NEED ANSWER NOW
Answer:
A.
Step-by-step explanation:
bc, it's high preasured. meaning its going 2b snowy.
Solve for x.
X=
x +19 7x +9
Step-by-step explanation:
X+7x=9-19
8x=-10
X=-10÷8
X=1.25
All of the following are equivalent to 1.75 except _____. 14/8, 1 75/100, 1 3/4, 4/7
HELP PLEASE, I'LL GIVE BRAINLIEST.
if x + yi = (1 + i)⁴ , then x + y = ......
a) 4
b) - 4
c) 2
d) - 2
an explanation for future reference would be greatly appreciated <333
x + yi = (1 + i)⁴
then -4 + 4 = x
Translate the following sentence into an equation: "Seven added to eight times a number is three less than
twice the number."
?
[tex]let\ x\ be\ the\ unknown\ number[/tex]
[tex]8x+7=2x-3[/tex]
first choose a variable to represent the number.
when something is "..." times a number, we are multiplying that number by that value.
"seven added to eight times a number" means that we are multiplying the number by eight (8x) and then adding seven to it (+7).
"is" usually means 'equals to' so we put an equal sign there.
"three less than twice the number" means that we are multiplying the number by two (2x) and then subtracting three from it (-3).
An equation form of given statement is, 7 + 8m = 3 - 2m where m is any real valued number.
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical expressions."
For given question,
We have been given a statement.
We need to translate given statement into a equation.
Seven added to eight times a number is three less than twice the number.
Let 'm' be any real number.
We can rewrite above statement as,
Seven plus to eight times 'm' is three minus twice 'm'.
⇒ 7 + 8 × m = 3 - 2 × m
So, we get an equation,
⇒ 7 + 8m = 3 - 2m
Therefore, an equation form of given statement is, 7 + 8m = 3 - 2m where m is any real valued number.
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What is the area of triangle ABC?
C
12
60°
60°
A
D
B
Answer:
Area of the triangle is 36√3
Step-by-step explanation: Hope this will help
The hypotenuse of each 30 - 60 - 90 triangle is 12
The base length is 6 + 6 = 12 because the triangle is equilateral and the
altitude of the triangle divides the base into two equal parts and the altitude (DC) is the height of the triangle.
Now you have two 30 - 60 - 90 triangles with the hypotenuse of 12, the short leg = 6 and you need to find the length of DC.
Finding DC .
a² + b² = c²
6² + b² = 12² 0r the long leg = short leg times √3
36 + b² = 144 6√3
b² = 108
b = 6√3
Area of a triangle = 1/2bh
= 1/2(12)(6√3)
= 6(6√3) = 36√3
Which statement BEST describes the graph of f(x - 6)?
A. The graph of f(x) is shifted up 6 units.
6
B. The graph of f(x) is shifted left 6 units.
C. The graph of f(x) is shifted right 6 units.
D. The graph of f(x) is shifted down 6 units.
Answer:
B. f(x) is shifted left by 6 units
Step-by-step explanation:
when we talk about translations, we know they happen along the X axis, y axis or sometimes both, in this case we see that were subtracting x by six units, so we are moving left along the x axis
ways to remember this is:
-you count up x the RIGHT way going right
-you count UP y
and of cource by process of ellimination we know that decreasing X goes left and decreasing y goes down
ALSO NOTE: x always goes horizontally and y always goes vertically
A cube has a surface area of 96 square inches. If 16 cubes are combined to make a rectangular prism, what is the volume of the rectangular prism?
Answer:
1536
Step-by-step explanation:
cos(19pi/3)=?
Pls help me :(
Answer:
Step-by-step explanation:
Remove full rotations of [tex]2\pi[/tex] until the angle is between 0 and [tex]2\pi[/tex].
[tex]cos(\frac{\pi }{3} )[/tex]
The exact value of [tex]cos(\frac{\pi }{3})[/tex] is [tex]\frac{1}{2}[/tex].
[tex]\frac{1}{2}[/tex]
The result can be shown in multiple forms.
Exact Form:
[tex]\frac{1}{2}[/tex]
Decimal Form:
[tex]0.5[/tex]
Vocabulary:
Rotation
A transformation in which a figure is rotated through a given angle, about a point.
Angle
The union of two rays with a common endpoint, called the vertex.
can someone help me with this? thank you!
Answer:
V = 240 [tex]cm^{3}[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism use this equation:
V = l*w*h
l = length (20 cm)
w = width (4 cm)
h = height (3 cm)
Plug all these values into the equation and solve:
V = (20 cm)(4 cm)(3 cm)
V = (80 [tex]cm^{2}[/tex])(3 cm)
V = 240 [tex]cm^{3}[/tex]
Therefore, the volume of the rectangular prism is 240 [tex]cm^{3}[/tex].
I hope this helps! Good luck!
6 cm
6 cm
What is the area?
Answer:
= 18 [tex]cm^{2}[/tex]
Step-by-step explanation:
As the triangle is right angled:
formula
= [tex]\frac{1}{2}[/tex] base x height
= [tex]\frac{1}{2}[/tex] 6 x 6
=[tex]\frac{1}{2}[/tex] x 36
=[tex]\frac{36}{2}[/tex]
= 18 [tex]cm^{2}[/tex]
What is the constant of proportionality shown in the table?
The constant of proportionality shown in the table that shows the cost and the number of books is 3.
What is the constant of proportionality ?When there is a direct proportional relationship, it means that as the value of one variable increases, the value of the other variable also increases. As the number of books increases, the cost increases.
Direct proportion: y = kx
Where:
y = dependent variable k = constant of proportionality x = independent variablek = y/x
6/2 = 3
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Answer:3
Step-by-step explanation:
Need help with geometry circles problem
Answer:
Step-by-step explanation:
She would also like to tour genoa as well, which would cost her €60.85. if the conversion rate of us dollars to euros at the time of kari’s visit is 1:0.6859, how will this affect her budget? round all dollar values to the nearest cent. a. kari can see genoa and have $60.33 left in her budget. b. kari can see genoa and have $41.38 left in her budget. c. kari has almost exactly enough left in her budget to see genoa. d. kari cannot afford to see genoa, because it would put her $84.48 over budget.
The conversion rate will affect her budget as C. Kari has almost exactly enough left in her budget to see Genoa.
How to illustrate the budget?From the information given, it should be noted that a trip to Genoa will cost her €60.85.
This will be converted to dollars which will be:
= 60.85/0.6859
= 88.72
Therefore, out of the $585 budget, only $88.72 is used.
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This is easy but I’m very slow please help mi amor
chosen at random from a bag comtaining 8 marbles: 4 blue 3 green and 1 red. define a probability distribution for this experiment on the sample space{B,G,R}
Answer:
1/2, 3/8, 1/8
Step-by-step explanation:
the radio of giving blue marbles is 4/8=1/2
the radio of giving green marbles is 3/8
the radio of giving red marbles is 1/8
Answer:
the probability of you getting a B marble is 1/2 for a R marble its 1/8 and for a G marble its 3/8.
Step-by-step explanation:
Find the greatest common factor of 12y4 and 7y3.
Answer:
24
Step-by-step explanation:
12*2=24
7*3=24
3*7=24
4*6=24
Hope this helps!
QUESTION 1 [10] The accompanying diagram shows the graph of f(x) = a* B 1.1. Write down the coordinate of A; explain. 1.2. How can we tell that: 0 < a < 1? 1.3. Determine a if B is the point (4;). (3) (2) 1.4. Determine the equation of the graph obtained if the graph above is reflected about the y-axis 1.5. Write down the coordinates of the point of intersection of the two graphs. (2 (2) (1)
The Coordinate of A is (0, 1) and the equation of the graph with B coordinate is ¹/₂^(ˣ) - (¹/₂)x
How to interpret Graph Functions?The equation of the accompanying graph is;
f(x) = aˣ
1) We want to write the coordinate of A. Thus;
f(0) = a⁰ = 1
Thus;
Coordinate of A = (0, 1)
2) The way we can tell that: 0 < a < 1 is; From figure number and inverse functions.
3) If B is the point (4, ¹/₁₆), then;
f(4) = a⁴ = ¹/₁₆
a = ⁴√(¹/₁₆)
a = ¹/₂
4) The equation of the graph with B coordinate is;
y - ax
⇒ ¹/₂^(ˣ) - (¹/₂)x
5) To get the coordinates of the point of intersection of the two graphs is;
¹/₂^(ˣ) - (¹/₂)x = ¹/₂^(ˣ)
⇒ (¹/₂)x = 0
x = 0
Thus, the coordinate of the intersection is; (0, 0)
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Honorable Quinn with 6 children earns 613 200 naira per month. Calculate:
a. tax allowance
b. taxable income
c. amount of tax paid
d. income after tax is paid
3. The Wang family has a take-home income of $45 000 per year. If they budget 22% for rent, how much rent would they budget for the year? How much for each month?
Answer:
Step-by-step explanation:
45000 x %22 = 9900 per year
9900/12=825 per month
Need help please answer asap
Answer:
[tex]2x = x + 15[/tex]
Step-by-step explanation:
Angle AGH and GHD are corresponding angles, meaning they are equal. So in order to find the equation that can be used to solve for x we need to equate both angles AGH and GHD to each other.
[tex]m < AGH\: \: \: = \: \: \: m < GHD \\ (x + 15) = (2x) \\ 15 = 2x - x \\ 15 = 1x \\ 15 = x[/tex]
They did not ask us to solve for x but I did it in case, however we can see that the answer we got corresponds with
[tex] (1) \:2x = x + 15[/tex]
Corresponding angles are equal
x+15=2xx-2x=-15-x=-15x=15Option A
Which sets of ordered pairs represent a function? Select all that apply.
A. (1,1), (1,2), (1,3), (1.4)
B. (1,1), (2,2), (3,3), (4,4)
C. (1,1), (2,1), (3,1), (4,1)
D. (1,4), (2,4), (1,3), (2,3)
E. (1,4), (2,2), (3,1), (4,3)
Answer:
B, C, and E
Step-by-step explanation:
In order for a function to be a function, an ordered pair cannot be on the same x coordinate
Joe has 7/8 yards of string. What is the maximum number of 1/16 yards of string Joe can be cut from the string? 11 points
Answer:
14
Step-by-step explanation:
7/8 = 14/16