Answer:
C. (-1,-2)
Step-by-step explanation:
Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.
Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)
So x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Substituting the values of the coordinates, we have
x = (mx₂ + nx₁)/(m + n)
3 = (1 × x₂ + 2 × 5)/(2 + 1)
3 = (x₂ + 10)/3
multiplying through by 3, we have
9 = x₂ + 10
x₂ = 9 - 10
x₂ = -1
y = (my₂ + ny₁)/(m + n)
10 = (1 × y₂ + 2 × 16)/(2 + 1)
10 = (x₂ + 32)/3
multiplying through by 3, we have
30 = y₂ + 32
y₂ = 30 - 32
y₂ = -2
So, the coordinates of B are (-1, -2)
Determine whether each point lies on the graph of the equation.(a) 2x - y - 3 = 0 (a) (1, 2)Yes, the point is on the graph.No, the point is not on the graph.(b) (1, -1)Yes, the point is on the graph.No, the point is not on the graph.
Answer:
a) (1, 2) not on the graph.
b) (1, -1) is on the graph.
Step-by-step explanation:
Given the equation of the line as:
[tex]2x - y - 3 = 0[/tex]
The points given are
a) (1, 2)
To determine whether it is on the graph of the line or not.
To do so, we can do 2 things:
1. Draw the graph and plot the point on the graph to check whether it is on the graph or not.
2. To put the point in the given equation of the line, whether the equation is satisfied or not.
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put [tex]x=1, y=2[/tex] in the Left Hand Side (LHS) of equation.
[tex]2\times 1 - 2 - 3\\\Rightarrow -3 \neq 0 , RHS[/tex]
(1, 2) Not on the graph.
(b) (1, -1)
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put [tex]x=1, y=-1[/tex] in the Left Hand Side (LHS) of equation.
[tex]2\times 1 - (-1) - 3\\\Rightarrow 3-3 = 0 = RHS[/tex]
(1, -1) is on the graph.
Mark is three times as old as Julie. The sum of their ages is 56. How old is Mark? If J = Julie's age and M = Mark's age, which system of equations could be used to solve the problem? 3J = M and J + M = 56 J = 3M and J + M = 56 J = 3M and JM = 56
Answer:
Mark is 42. 3J = M and J + M = 56
Step-by-step explanation:
Since Mark is 3 times as old as Julie, and the sum of their ages is 56, you could divide 56 by 4 (one time because of Julie’s age, the other 3 times because of how many times Mark is older than Julie) You would get 14. That means that Julie is 14. To find Mark’s age, you would multiply 14 (Julie’s age) by 3. The answer would be 42.
Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and
D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree
with Priya, or do you agree with Tyler? Explain your reasoning.
A
B
C
D
Answer:
No, I do not agree with them. Both are wrong.
Step-by-step explanation:
For a shape or figure to be considered a scaled copy of another, the length of all the segments of scaled copy must be equal to the length of all corresponding segments of the original figure multiplied by the same scale factor.
By examining the scaled copies B, C, and D, we would conclude that only D can be referred to as a scaled copy of D, because all the segments are exactly twice the corresponding segments of A. C and B do not have all its segment scaled in the same proportion.
Therefore, we cannot agree with Priya, nor Tyler. They are both wrong.
Which value of x is a solution of the equation 4(x + 3)- 10 = 6(x - 2)?
Answer:
X=7
Step-by-step explanation:
4(x+3) - 10=6 ( x-2)
multiply
4x +12 - 10 = 6x - 12
4x + 2 = 6x- 12
subtract the positive 2 to the -12
4x = 6x -14
subtract 6x to the 4x
-2x = -14
divide -2 from the -14 (neg divided by a neg = positive)
x= 7
Prove that the EOQ cost function can be rewritten as
g(Q) = h/2 * Q(Q - underroor 2K/h) + underroot 2Kh
Use this to prove without using calculus.
Answer:
the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]
Step-by-step explanation:
Given that:
[tex]g(Q) = \dfrac{h}{2 \lambda Q} \begin {pmatrix} Q- \sqrt{\dfrac{2 K \lambda}{h}} \end {pmatrix}^2 + \sqrt{\dfrac{2 Kh}{\lambda}}[/tex]
Total cost = Purchase Cost + Ordering Cost + Holding Cost
i.e
T = [tex]P \lambda + h \dfrac{Q}{2}+\dfrac{\lambda K}{Q}[/tex]
By differentiating with respect to Q and equating to zero, we have:
[tex]0 = 0 +\dfrac{h}{2}- \dfrac{\lambda K}{Q^2}[/tex]
[tex]Q* = \sqrt{\dfrac{2 k \lambda}{h}}[/tex]
Now;
[tex]T = P \lambda + \dfrac{h}{2Q}(Q-Q^*)^2 + hQ^*[/tex]
[tex]T = \dfrac{h}{2Q}(Q- \sqrt{\dfrac{2 \lambda K}{h}})^2 + \sqrt{2 hK \lambda } + P \lambda[/tex]
[tex](\dfrac{T - P \lambda}{\lambda }) = \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}[/tex]
Therefore:
the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]
HELP ASAPPPPP Becca is using a sheet of scrapbook paper with a width of x inches, and a length of 2x inches. She cut off one inch of both the length and the width. What is the area ( in square inches) of the newly cut paper, in terms of x?
Answer:
52 square in
Step-by-step explanation:
x2 is 25 by 50
The area of the new rectangle in terms of x is 2x² - 3x + 1 sq inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle is (length×width).
Given, A paper with a width of x inches, and a length of 2x inches.
So, The area is (x×2x) sq inches.
= 2x² sq inches.
Now, he cut off one inch of both the length and the width which is,
= (x - 1)(2x - 1) sq inches.
= 2x² - x - 2x + 1 sq inches.
= 2x² - 3x + 1 sq inches.
learn more about rectangles here :
https://brainly.com/question/29123947
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Find the missing number to make the average correct. The average of 11, 17, 18, and ? is 17.
Answer:
The missing number is:
22
Step-by-step explanation:
There are 3 numbers and one more
4 numbers and your average is 17
then:
17*4 = 68
then:
11 + 17 + 18 + a = 68
46 + a = 68
a = 68 - 46
a = 22
Check:
(22 + 11 + 17 + 18)/4 = 17
68/4 = 17
Select all the properties that can be used to solve 7y – 15 = –29. Group of answer choices Distributive Property Commutative Property of Addition Identity Property of Multiplication Inverse Property of Multiplication Addition Property of Equality
Answer:
Property of Equality
Y= -13/7
Step-by-step explanation:
7y – 15 = –29.
Applying rule of equality which is"anything done on one side of the equal sign should be done also on the other side of the equal sign"
7y – 15 = –29.
Adding 15 to both sides
7y - 15+15= -28+15
7y= -13
Dividing throughout by 7
7y/7= -13/7
Y= -13/7
HELP ASAP ILL GIVE YOU ALL!!! What is the coefficient of (6x^2-4x-5)-
Answer:
32x-5
Step-by-step explanation:
6x^2-4x-5
36x-4x-5
32x-5
30 points, help would be appreciated :)
Answer:
the answer is 77°
Step-by-step explanation:
26 +51 is 77 and they're opposite angles
What is the domain for the green segment in the piecewise function
below? *
y
6
Х
1-8
1-4/
o
4
8
6
- 12
-18
1-24
O (-10,10)
O (2,10)
O 13,10]
O (1,9)
Answer:
(2,10)
Step-by-step explanation:
The x value for the green segment starts at 2 and ends at 10
The difference of two times a number and three
Answer:
2n - 3
Step-by-step explanation:
The difference of implies a subtraction between two terms. Two times a number, implies some number being multiplied by two. Hence, we can build the expression:
2n - 3
Where n represents the unknown number.
Cheers.
Find the area and perimeter of the rectangle Length = 5cm Breadth =2cm
Answer:
perimeter: 14
Area: 10
Step-by-step explanation:
PERIMETER
2x(L+B) = 2x(5+2) = 2x(7) = 14
AREA
LxB = 5x2 = 10
PLEASE MARK ME BRAINLIEST
The tempature in Frwnoo is 71.8.
Round this temp. to nearest whole number.
Answer:
72
Step-by-step explanation:
Round to nearest whole number.
71.8 is rounded to 72.
72 is the answer to your question.
3(2x-1)=4x+12 what value of X satisfies the equation above
Answer:
[tex]x = \frac{15}{2} \\\\x =7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3\left(2x-1\right)=4x+12\\\\\mathrm{Expand\:}3\left(2x-1\right):\quad 6x-3\\6x-3=4x+12\\\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\6x-3+3=4x+12+3\\\\Simplify\\6x=4x+15\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\6x-4x=4x+15-4x\\\\Simplify\\2x =15\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{15}{2}\\\\Simplify\\x = 15/2[/tex]
Answer:
[tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3(2x-1)=4x+12\\[/tex]
Use 3 to open the bracket
[tex]3(2x-1) = 6x -3\\\\ 6x-3 = 4x+12\\[/tex]
Collect like terms and simplify
[tex]6x-4x = 12+3\\2x = 15[/tex]
Divide both sides of the equation by 2
[tex]\frac{2x}{2} = \frac{15}{2} \\\\x = \frac{15}{2} = 7\frac{1}{2}[/tex]
The following table presents the time taken to review articles that were submitted for publication to a particular journal during a recent year. A few articles took longer than 6 months to review; these are omitted from the table. Consider the data to be a population. (image) (a) Approximate the variance of the times. Round the answer to at least two decimal places. The variance is (b) Approximate the standard deviation of the times. Round the answer to at least two decimal places. The standard deviation is
Answer:
Variance = 0.1645
Standard deviation = 0.4056
Step-by-step explanation:
Kindly check attached picture for detailed explanation
Al terminar de pintar la puerta de su recamara Gerardo observó que le quedaron 3/4 de litro de pintura, sí utilizó 5/8 de litro en pintar, ¿cuánta pintura tenía antes de empezar a pintar?
Answer: Tenias 1 3/8 de litros.
Step-by-step explanation:
Necesitas de sumar lo que quedo y lo que uso Gerardo, pero el 8 y el 4 necesitan de ser iguales. Si multiplicas 4x2 te da 8 y serían iguales. As lo mismo con el tres: 3x2 y te da 6. Suma el 6 por 5 y te da 11/8. Simplifica y te dará 1 litro y 3/8.
Compete the equatuon descibing how x and y are related
P (x) is a polynomial. Here are a few values of P (x): P(-5)=-2 and P (5)=-1 What is the remainder when P(x) is divided by (x+5)? (Answer choices in the picture)
Answer:
– 2
Step-by-step explanation:
From the question given above, the following data were obtained:
P(x) = polynomial
P(–5) = – 2
P(5) = –1
Remainder when P(x) is divided by
(x + 5) =?
To obtain the remainder when P(x) is divided by (x + 5), we shall apply the reminder theorem as follow:
Let (x + 5) be equal to 0
(x + 5) = 0
x + 5 = 0
Subtract 5 from both side
x + 5 – 5 = 0 – 5
x = –5
Replace x in P(x) with –5 as shown below:
P(x) = polynomial
x = – 5
P(–5)
From the question given above,
P(–5) = – 2
Therefore, when P(x) is divided by
(x + 5), the remainder is – 2.
I need help with this question
6^2-3*(3^2*2)+5
Answer:
-13
Step-by-step explanation:
Simplify the following:
6^2 - 3×3^2×2 + 5
3^2 = 9:
6^2 - 3×9×2 + 5
9×2 = 18:
6^2 - 318 + 5
6^2 = 36:
36 - 3×18 + 5
-3×18 = -54:
36 + -54 + 5
| 1 |
| 3 | 6
+ | | 5
| 4 | 1:
41 - 54
41 - 54 = -(54 - 41):
-(54 - 41)
| 5 | 4
- | 4 | 1
| 1 | 3:
Answer: -13
HELP ASAP!!! To make a quiche, you need 1 tablespoon of butter for every 6 eggs. Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply. StartFraction 12 eggs Over 2 tablespoons EndFraction StartFraction 15 eggs Over 3 tablespoons EndFraction StartFraction 24 eggs Over 4 tablespoons EndFraction StartFraction 9 eggs Over 1.5 tablespoons EndFraction
Answer:
Options A, C and D.
Step-by-step explanation:
It is given that, we need 1 tablespoon of butter for every 6 eggs to make a quiche.
Ratio that compares these two quantities [tex]=\dfrac{6\text{ eggs}}{1\text{ tablespoons} }[/tex]
We need to find the ratios which are equivalent to this ratio.
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{2}{2}=\dfrac{12\text{ eggs}}{2\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{3}{3}=\dfrac{18\text{ eggs}}{3\text{ tablespoons} }\neq \dfrac{15\text{ eggs}}{3\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{4}{4}=\dfrac{24\text{ eggs}}{4\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{1.5}{1.5}=\dfrac{9\text{ eggs}}{1.5\text{ tablespoons} }[/tex]
Therefore, the correct options are A, C and D.
Answer:
A,C,D
HOPE THIS HELPS!
What’s the number between -6 and -7 on a number line
Answer: -6.5
Step-by-step explanation:
To find the number between them,find their average or mean .
-6 + -7 = -13
-13/2 = -6.5
The number between them is -6.5
12. Higher order Thinking is the Product of two irrational numbers always an irrational number ? Explain
Answer:
Not always but sometimes
Step-by-step explanation:
The product of two irrational numbers is sometimes and not always an irrational number.
So, Let us take two Example:
Example # 1:
Let the two irrational numbers be [tex]\sf \sqrt{37} \ and \ \sqrt{2}[/tex]
So, Multiplying these will give us
=> [tex]\sf \sqrt{37} * \sqrt{2}[/tex]
=> [tex]\sf \sqrt{74}[/tex]
Which is an irrational number.
Example # 2:
Let the two irrational numbers be [tex]\sf \sqrt{2} \ and \ \sqrt{2}[/tex]
So, Multiplying them would give us:
=> [tex]\sf \sqrt{2} * \sqrt{2}[/tex]
=> [tex]\sf (\sqrt{2} )^2[/tex]
=> 2
Which is a rational number.
This means that the product of two irrational numbers is not always an irrational number but sometimes an irrational number.
Can some body please help me with #12 pleassssssse T^T
Demitrius deposited $41.67, which was 60% of his paycheck.
Using this, we can make an equation.
If x is the amount of his paycheck,
[tex]0.6x=41.67[/tex]
[tex]x=69.45[/tex]
The value of the paycheck was $69.45.
Hope this helps.
頑張って!
90 POINTS & Brainliest Is the following relation a function? Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 2, 4, and negative 1. The y circle contains the numbers 2, negative 2, and 1. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 2, from negative 2 to 2, from 4 to 1, and from negative 1 to 1. Yes
Using the numbers you have :
6 to -2
-2 to 2
4 to 1
-1 to 1
This is a function.
An input can only have one output, but an output can have multiple inputs.
We can make a table with the values we are given.
6 and -2
4 and -1
2 and 2
-2 and 1
Since no x-value repeats itself, it is a function. To make a function, no x-values can be repeated.
Best of Luck!
Can someone help my son with this it’s homework and he don’t understand it
Hey there! I think the answer is (-1,3)
While riding on a carousel, Angela travels a distance of 65 meters every 15 seconds. What is her speed in kilometers per hour? A. 3.9 km/hr B. 14.4 km/hr C. 15.6 km/hr D. 156.0 km/hr
x-c= y-rd, for x . . . . . . . . . . . . . .
Answer:
x = y - rd + c
Step-by-step explanation:
x - c = y -rd
x = y - rd + c
Solve: 2x + 4 = 12. Show your work!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x + 4 = 12}[/tex]
Move 4 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{2x = 12 - 4}}[/tex]
Subtract 4 from 12
[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{\sf{x = 4}}[/tex]
Hope I helped!
Best regards! :D
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]2x+4=12[/tex]
To solve this equation, first we must minus out(subtract) 4 from both sides of the equation.
[tex]2x+4-4=12-4[/tex]
This equals [tex]2x=8[/tex]
Now we will make this into a fraction and divide the sides by 2.
[tex]\frac{2x}{2}[/tex] equals to [tex]\frac{8}{2}[/tex]
Now we got an answer!
[tex]x=4[/tex]
Hope this helps!
2r-6+5r=3-r+7
pls explain how you get the answer. thanks
Answer:
r=2
Step-by-step explanation:
2r-6+5r=3-r+7
7r-6=10-r
7r+r=10-6
8r=16
r=2