Answers
Answer:
[tex] \rm\displaystyle D) \left (1,3\right)[/tex]
Step-by-step explanation:
well to figure out the point we can consider the following formula:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{m x_{2} + n x_{1} }{m + n} , \frac{m y_{2} + n y_{1} }{m + n} \right)[/tex]
from the given we acquire that,
[tex](x _{1}, y_{1}) = ( - 1,7)[/tex][tex](x _{2}, y_{2}) = ( 4, - 3)[/tex][tex]m : n = 2 : 3[/tex]therefore substitute:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{(2) (4)+ 3( - 1) }{2 + 3} , \frac{(2) ( - 3) + (3)(7)}{2 + 3} \right)[/tex]
simplify multiplication:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{8 - 3 }{2 + 3} , \frac{ - 6+ 21}{2 + 3} \right)[/tex]
simplify:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{5}{5} , \frac{ 15}{5} \right)[/tex]
simplify division:
[tex] \rm\displaystyle \text C(x,y)= \left (1,3\right)[/tex]
hence our answer is D)
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
Points => (-1, 7) & (4, -3)
Ratio => 2 : 3
(x₁, y₁) = (-1, 7)
(x₂, y₂) = (4, -3)
(m₁, m₂) = (2, 3)
Formula = [tex]\large\left (\frac{m_{1} x_{2} + m_{2} x_{1} }{m_{1} + m_{2}} , \frac{m_{1} y_{2} + m_{2} y_{1} }{m_{1} + m_{2}} \right)[/tex]
Points which divide the line segment
= [tex]( \frac{2 \times 4 + 3 \times - 1}{2 + 3}, \frac{2 \times -3 + 3 \times 7}{2 + 3})[/tex]
[tex] =( \frac{8 - 3}{5} , \frac{ - 6 + 21}{5}) \\ = ( \frac{5}{5} , \frac{15}{5} ) \\ = (1,3)[/tex]
Answer => (1, 3) [option D]
Related Questions
What value of x is in the solution set of 2x – 3 > 11 – 5x?
• -3
• 0
• 2
• 4
Answers
Hello!
2x - 3 > 11 - 5x
2x + 5x > 11 + 3
7x > 11 + 3
7x > 14
x > 14 : 7
x > 2
x = 4 → the solution
Good luck! :)
i've been stuck on this question for 3 days ;< halp meh ples
Calculate the average time for each vehicle.
What was the average time for the Big Car? Show your work.
What was the average time for the Small Car? Show your work.
Calculate the average speed for each vehicle. Use the average time for this calculation.
What was the average speed for the Big Car? Show your work.
What was the average speed for the Small Car? Show your work.
Answers
Answer:
1.
avg time = total time/ 3
for big car :-
= 4.46/ 3
= 1.48
for small car :-
= 5.14/ 3
= 1.71
2.
avg speed = total distance/ total time
for big car:-
= 2/ 4.46
= 0.45
for small car :-
= 2/ 5.14
= 0.4
This frequency table represents the number of cars owned by each family on a street.
What is the mean number of the cars owned by each family?
A. 2.5
B. 3
C. 4
D. 5.5
Answers
Step-by-step explanation:
1+2+3+4+5=14 divided by 5=2.8 so, A.would be your answer.
If n orange juice is made up of concentrate and water in the ratio 3:8. What fraction of the mixture is concentrate?
Answers
Answer:your answer should be 2
Step-by-step explanation:
The inverse of the relation y = 2x + 3 can be obtained graphically by:
Answers
The inverse of a function can be determined graphically by reflecting the graph over line y =x, the correct option is D.
What is an Inverse Function?An inverse of a function can be determined by interchanging variables in the function, y is interchanged by x in an f(x,y) function and then the equation is solved for y to determine the inverse of a function.
The equation is y = 2x+3
The inverse of a function is determined graphically the graph will be reflected in the line y =x.
The graph is attached with the answer.
Therefore, the correct option is D.
To know more about Inverse Function
https://brainly.com/question/2541698
#SPJ2
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answers
Answer:
14 or 10.4
Step-by-step explanation:
I don’t really understand the question but here I go I’ll try;
The height is 4 and the width is 10, so I think it’s 14 or 10.4.
The Constant that relates the height and width is 5/2.
What is Constant of Proportionality?The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Given:
we have the coordinates as (10, 4)
The coordinates shows that when the height of the rectangle is 4 unit then the width of the rectangle is 10.
Using Constant of Proportionality
y= k x
10 = k(4)
k = 10/ 4
k = 5/2
Learn more about Constant of Proportionality here:
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Iff a projectile has a maximum range of 40 metres , find its speed of projection . ([tex]g = 10ms^-^2[/tex])
.[tex]0.5 ms^-^1\\2ms^-^1\\\\4ms^-^1\\\\20ms^-^1\\\\400ms^-^1[/tex]
Answers
its speed of projection is 20 ms^(-1)
Answer:
Solution given:
maximum range=40m
u²sin90°/g=40
u²*sin90°/10=40
u²=40*10
u=[tex]\sqrt{400}=20m/s[/tex]
please someone explain this
Answers
Answer: 68
Step-by-step explanation: Complementary angles are angles that add up to 90. So, you need to do 90-22=68.
Use the drop-down menus to describe the key aspects of the function
f(x) = –x2 – 2x – 1.
Answers
Answer:
Step-by-step explanation:
Given function is,
f(x) = -x² - 2x - 1
= -(x² + 2x + 1)
= -(x + 2)²
Comparing this equation with the vertex form of a quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Vertex of the function is (-2, 0)
Leading coefficient of the function = -1
Therefore, parabola will open downwards.
Function will be increasing in the interval (-∞, -2).
Function will be decreasing in the interval (-2, -∞).
Domain of the function → (-∞, ∞)
Range of the function → (-∞, 0]
Answer:
Step-by-step explanation:
edge
Given f(x) = x^3 - 9x and g(x) = x^2, choose
the expression for (fºg)(x).
Answers
Answer and Step-by-step explanation:
We are given two functions, f and g. We are asked to find the value of f evaluated at g(x).
Here, we need to plug in every value of x in f(x) with the value of g(x).
f(g(x)) = [tex](x^2)^3-9(x^2)[/tex]
An exponent raised by an exponent results in the exponents multiplying together.
f(g(x)) = [tex]x^6 - 9x^2[/tex] <- This is the final answer.
I hope this helps!
#teamseas #PAW (Plant And Water)
Y varies directly with the square of x. If y=40 when x=4, find y when x=7
Answers
Answer:
y = 245/2
Step-by-step explanation:
y = k x^2
Where k is the constant of variation
Let y= 40 and x=4
40 = k *(4)^2
40 = k*16
40/16 = k
5/2 = k
y =5/2 x^2
Let x=7
y = 5/2 (7)^2
y = 5/2(49)
y = 245/2
The sales tax rate for the state of Washington was 7.6%.
What is the state sales tax on a $5,300 car in WashingtoN
What is the final cost of the car, including tax?
Answers
Answer:
Sales tax: 402.80 Final cost: 5,702.80
Step-by-step explanation:
Sales price x sales tax rate = sales tax
5300 x .076 (7.6%) = 402.80
Sales price + tax = final cost
5300 + 402.80 = 5702.80
Find the length of the line AB
Answers
Answer:
the length would be 12.
Step-by-step explanation:
Answer:
[tex]{ \boxed{ \bf{length = \sqrt{(x _{2} - x _{1}) {}^{2} + {(y _{1} - y _{2}) }^{2} }}}} \\ { \tt{length = \sqrt{ {(5 - ( - 2)) }^{2} + {(7 - 3)}^{2} } }} \\ { \tt{length = \sqrt{65} }} \\ length = 8.06 \: units[/tex]
Look at the image pls help
Answers
Answer: i need the formula to help i promise i will but i need the formula for the slanted f
Step-by-step explanation:
Answer:
is 34
Step-by-step explanation:
^<- this is the square sing
f(1)+f(-2) for f(x)=4x^2+7
f(1)=4(1)^2+7
=4+7
f(1) =11
f(-2)=4(-2)^2+7
if you square -2 there will not be no -
-2 the whole square is 4
=4(4)+7
f(-2)=23
f(1)+f(-2)=11+23=34
:. The answer is 34
If a Polyhedron had 58 edges and the same Number of faces as its Vertices , How many faces does it have?
Answers
Answer: 30
Step-by-step explanation:
Given
Polyhedron has (E)58 edges
It has same number of faces and vertices
Using Euler's formula
[tex]\Rightarrow V-E+F=2[/tex]
where
V=no of vertices
E=no of edges
F=no of edges
Suppose there are x faces
Insert the values
[tex]\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30[/tex]
Thus, polyhedron has 30 faces.
Answer:
30
Step-by-step explanation:
Which of the following are exterior angles?
Answers
Answer:
3,4
Step-by-step explanation:
4 ounces of cooked sausage per person - once the raw sausage is cooked it yields 50%. How many pounds of raw sausage is needed to feed 50 people
Answers
4 ounces x 2= 8 ounces
8 ounces x 50 people = 400 ounces
In the diagram below ,
Answers
Answer:
it doesn't show anything
What is the bohr diagram for Titanium +4charge ions.
Answers
Answer:
Step-by-step explanation:
thats the link for the diagram
Answer:
The nucleus of a titanium atom has 22 protons and 26 neutrons
If you search online for 'Bohr's diagram for titanium' it might help.
__
It will become Ti ^4+
Bohr diagrams indicate how many electrons fill each principal shell. This means that they can achieve a stable configuration and a filled outer shell by donating or losing an electron. As a result of losing a negatively-charged electron, they become positively-charged ions.
Can someone help me with this math homework please!
Answers
hope this helps you.
Answer:
x values are inputs y values are outputs y = 6Step-by-step explanation:
y = 2 - 4x
y = 2 - 4(-1)
y = 2 + 4
y = 6
hope this helps!
BRAINLEST IF CORRECT!!!!which of the d-values satisfy the following inequality? d/5>4
Answers
Answer:
d = 25
Step-by-step explanation:
[tex]\frac{d}{5} >4[/tex]
The value of d has to satisfy the inequality
so replace d with one of the given options
[tex]\frac{25}{5} >4[/tex]
We have to simplify the fraction first
[tex]\frac{25}{5} =5>4[/tex]
Calculate the exact value of number one
Answers
Answer:
3/ 20
Step-by-step explanation:
4 1/5 × 1/3 - 1 1/4
= 21/5 × 1/3 - 1/5
= 7/5 - 5/4 = 28 - 25/ 20 = 3/20
= 3/20
What fraction of 300 gallons is 117 L? Give your answer in simplest form. 1 gallon = 4.5 L.
Answers
Answer:
Use proportions to find the gallon equivalent of 117 L:
[tex]\frac{1gal}{4.5L} =\frac{Xgal}{117L}[/tex]
Cross-multiply & solve:
[tex]4.5x=117\\x=26[/tex]
So 117 L = 26 gallons
Out of 300 gallons, it's
[tex]\frac{26}{300} =\frac{2(13)}{2(150)} =\frac{13}{150}[/tex]
I hope this is how you're suppose to solve it..
Help me!! In class right now!
Answers
you cross multiply.
10/x = 6/9
6x = 90
15 = x
Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does Tom earn per hour?
Multiplication
Subtraction
Addition
Division
Answers
Answer:
The correct option is (d).
Step-by-step explanation:
Given that,
Jeff earns $14.00 per hour.
Tom earns half as much as Jeff.
We need to find the amount earn by Tom per hour.
Tom's amount = Jeff's amount/2
So,
[tex]T=\dfrac{14}{2}\\\\T=\$7[/tex]
So, Tom earn $7 per hour. Hence, division operation is used. Jeff's amount is divided by 2.
x y
10 27
11 a
12 11
In order for the data in the table to represent a linear function with a rate of change of -8, what must be the value of a?
a = 2
a = 3
a = 19
a = 35
Answers
Answer:
a = 19
Step-by-step explanation:
If the rate of change is -8, subtract 8 from your y value of 27. And if 19 is correct, you should be able to subtract 8, and get 11 as the next number in the function, which you do, so 19 is the value of a.
id like some help here... if possible.
Answers
Answer:
use average seep hours
top = 77/12 = 6.4 (most)
middle = 6 (middle)
bottom = 50/9 = 5.5 (least)
Step-by-step explanation:
[tex]find \: the \: volume \: of \: cylinder \\ \\ radius \: = 4 \: cm \\ \\ height \: = \: 10 \: cm \: \\ \\ [/tex]
Answers
the volume of a cylinder is V= (pi)(radius squared)(height)
in this case it would be pi times 4^2 times 10, which is 502.6 :)
Recall how the sorceress's twin
brother converts blueberries by
adding 9 to the number of
blueberries given to him and then
doubling it. Find the output if he is
given zero blueberries.
The wizard returns blueberries.
Answers
Answer:
18 blueberries
Step-by-step explanation:
also nice zoro profile pic
help with this question please
