Answers
Answer:
Q7) ( 2,-2)
Q8) (- 0.5 , -2)
Step-by-step explanation:
As we have to find the mid-points of the line segments, the line segments will be divided in same ratio i.e. 1:1 (∵ A Mid-point divides a line segment into equal parts )
According to Section formula ,
[tex]( x' , y') = (\frac{mx^2 + nx^1}{m+n} , \frac{my^2+ny^1}{m+n} )[/tex]
where (m,n) are the ratios in which a line segment is divided & ( x¹ , y¹ ) ( x², y²) are the co-ordinates of a line segment.
In Q7 ,
x¹ = 3 , y¹ = -9 , x² = 1 , y² = 5 & m = n = 1
So putting the section formula here gives :-
[tex]( x' , y') = (\frac{1*1 + 1*3}{1+1} , \frac{1*5+1*(-9)}{1+1} ) = ( 2 , -2)[/tex]
In Q8 ,
x¹ = 5 , y¹ = -1 , x² = -6 , y² = -3
So putting the section formula here gives :-
[tex](x' , y') = (\frac{1*(-6) + 1*5}{1+1} , \frac{1*(-3) + 1*(-1)}{1+1}) = ( -0.5 , -2)[/tex]
Related Questions
PLEASE HELP!!! 15 PTS FOR THIS!! (Please show work also) Convert y=3x-14 (slope intercept form) to standard form
Answers
Answer:
[tex]3x-y=14[/tex]
Step-by-step explanation:
To convert an equation into standard form, we want to get into the form [tex]ax + by = c[/tex].
If we have [tex]y=3x-14[/tex], our first step is to get the x term on the left side. We can do this by subtracting 3x from both sides.
[tex]-3x + y = -14[/tex]
I find it easier now to just divide both sides by -1, so that we have a more consistent equation.
[tex]3x - y = 14[/tex]
Hope this helped!
2a + 2b = c for b
Solve for b
Answers
2a + 2b = c
Subtract 2a from both sides
2b = -2a + c
Divide both sides by 2
b = -a + (c/2)
-9x + 12x + 10 simplifies to
Answers
Answer:
[tex] \boxed{\sf 3x + 10} [/tex]
Step-by-step explanation:
Simplify the following:
⇒-9 x + 12 x + 10
Grouping like terms:
⇒(12 x - 9 x) + 10
12 x - 9 x = 3 x:
⇒3 x + 10
Simplify the expression 3x + 6x
Answers
Answer:
9x
Step-by-step explanation:
3x + 6x
= 9x
Answer:
This is really easy:
Answer: 9x
Step-by-step explanation:
Just add the numbers first:
3 + 6 = 9
And because they both have a x you are able to combine those two making it:
9x
Hope this helps :)
Find the sum. Write the answer in simplest form. 1/4 + 1/5
Answers
Answer:
9/20
Step-by-step explanation:
Step 1:
1/4 + 1/5
Step 2:
5/20 + 4/20
Answer:
9/20
Hope This Helps :)
Answer
9/20
Step by Step
I got this by turning the 1/4 into a 5/20 and then turned the 1/5 into a 4/20 and then added from there
5/20+4/20=9/20
You have to turn the fractions denominator into the same number by finding the lowest common denominator.
Slope between (2,5) (4,11)
Answers
Step-by-step explanation:
[tex]slope = \frac{11 - 5}{4 - 2} \\ = \frac{6}{2} \\ = 3[/tex]
Is 39,052 divisible by 3?
Answers
Answer:
39052 ends in 2, hence it is divisible by 2. But (3+9+0+5+2) = 19, which is not divisible by 3.
Answer:
Step-by-step explanation:
to check a number is divisible by 3. add all the numbers and check whether it is divisible by 3
=3+9+5+2
=19
so it is not divisible
4. For a line whose slope is -3 and which passes through the point (5. - 2)
(a) Write the equation of this line in point-slope (b) Write the equation of this line in slope.
form, y- y = m(x-x).
intercept form, y=mx+b.
Answers
m = -3
point (x₁, y₁): (5, -2)
y-(-2) = (-3)(x-(5))
y+2 = -3(x-5)
^for point slope form
for y-intercept form...just solve your point slope equation for y:
y+2 = -3(x-5)
y+2-2 = -3(x-5) -2
y = -3x+15 -2
y = -3x + 13
hope this helps :)
I need help with econ! please download the word file to see the pictures. Figure: Wireless Mouse Market) According to the graph showing the wireless mouse market, what is the change in producer surplus when the price increases from $10 to $15? A. $200 B. $1,000 C. $3,000 D. $800 (Figure: Market for Sandwiches) In the market for sandwiches during the lunch hour at a local deli, suppose a price ceiling is set at $4. At this price, consumer surplus is equal to ________ and producer surplus is equal to ________. A. $64; $40 B. $32; $24 C. $56; $16 D. $32; $40 E. $64; $24 Figure: Market for Sandwiches) In the market for sandwiches during the lunch hour at a local deli, suppose a price ceiling is set at $4. At this price, the deadweight loss is equal to ________ and the portion of the producer surplus transfered to the consumer is equal to ________. A. $4; $7 B. $5; $4 C. $3; $8 D. $12; $2 E. $6; $4
Answers
Answer:
ok hold on ima do it step by step
Can someone help me with this question
Answers
Which rules define the function graphed below?
y = x; y = 5
y = x + 2; y = 5
y = x; x = 5
y = x + 2; x = 5
Answers
Answer:
B) y=x+2; y=5
Step-by-step explanation:
The rules that define the graphed function are y = x + 2; y = 5
How to determine the rule of the function?The function is a piecewise function
There are two lines on the graph.
The first line has the following points
(0,2) and (3,5)
Express 2 and 5 as a sum of 2
(0,0 + 2) and (3, 3 + 2)
This means that the y value is the sum of 2 and the x value.
So, we have:
y = x + 2
The other line has a constant value of 5 for all x values
So, we have:
y = 5
Hence, the rules that define the graphed function are y = x + 2; y = 5
Read more about piecewise functions at:
https://brainly.com/question/11827078
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Given h(x) = –3x – 5, solve for x when h(x) = –2.
Answers
= 6 - 5
= 1
Answer:
1
Step-by-step explanation:
h(-2)=-3(-2)-5
h(-2)=6-5
h(-2)=1
h(-2)=1
x=-2, but i'm assuming you want h(x)
There are $1.95 worth of nickels and quarters in a piggy bank there are three more nickels than quarters how many of each are in the piggy bank write how you got the answer please
Answers
Answer:
6 quarters and 9 nickels
Step-by-step explanation:
alright so this took me like an hour or two to figure out cause I'm stubborn. but I wanted to give an in depth answer
..
1) first we need to know how to write it.
___=___+___
1.95 is the full value of all of the coins so it goes here. (___)=___+___
1.95=___+___
We will use q for number of quarters and n for number of nickels. the value of a quarter .25 and the value of a nickel is .05. put the value of a quarter here. ___=(___)+___
1.95=.25q+___
we will put the value of the nickel here ___=___+(___)
1.95=.25q+.05n
now that we know how to write it, we can move onto step two.
2) figuring out what variable n is
n=___
Since we know that there are three more nickels than quarters, we can start to solve this equation.
n=q+3
3) change (n) to (q+3). dont forget to use parenthesis!
1.95=.25q+.05(q+3)
4) i forget what its called but multiply .05 throughout your parenthesis. ill show you.
1.95=.25q+.05(q+3)
.05*q= .05q and .05*3=.15
1.95=.25q+.05q+.15
5) add variables together.
1.95=.30q+.15
6) subtract .15 from both sides to get rid of it.
1.95=.30q+.15
-.15 -.15
1.80=.30q
7) divide .30 from both sides to isolate the q and get the answer of quarters
1.80=.30q
/.30 /.30
6=q
8) add three to the number of quarters to get the number of nickels.
6+3=9 nickels
Here we need to create and solve a system of equations to find the number of coins in the piggy bank.
We will see that there are 6 quarters and 9 nickels.
let's define the variables:
x = number of nickels in the piggy bank
y = number of quarters in the piggy bank.
Knowing that the total value of the coins in the piggy bank is $1.95, then we have:
x*$0.05 + y*$0.25 = $1.95
We also know that there are 3 more nickels than quarters, then we also have:
x = y + 3
Then the system of equations is:
x*$0.05 + y*$0.25 = $1.95
x = y + 3
To solve this, we can see that x is isolated in the second equation, so we can replace it in the other equation to get:
(y + 3)*$0.05 + y*$0.25 = $1.95
Now we can solve this for y:
y*$0.05 + 3*$0.05 + y*$0.25 = $1.95
y*$0.30 + $0.15 = $1.95
y*$0.30 = $1.95 - $0.15 = $1.80
y = ($1.80)/($0.30) = 6
So we have 6 quarters.
Then the number of nickels is given by:
x = y + 3 = 6 + 3 = 9
x = 9
There are 9 nickels.
If you want to learn more, you can read:
https://brainly.com/question/20067450
how do you solve a literal equation for a specified variable?
Answers
A stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.M. When a concert is supposed to begin?
Answers
if 35 people enter each minute then it should be multiplied by the number of minutes
that being said, 90 x 35 = 3,150 people are in the stadium at 1:30
h(x) = x2 + 1 k(x) = x – 2 (h – k)(3) =
Answers
Answer:
3x^2 - 3x - 3
Step-by-step explanation:
Plug in the equations in place of the variables
First, subtract k(x) from h(x)
x^2+1-x-2 (combine like terms)
x^2 - x -1
Next, multiply the new equation by 3
3(x^2 - x - 1) Use distributive property
= 3x^2 - 3x - 3
600 ÷ 300 hey answers
Answers
Answer:
2
Step-by-step explanation:
I hope this helps you :)
Answer:
2
Step-by-step explanation:
Anything divided by 2 is half of itself. So 600 ÷ 300 would technically be 300. But in division we count the amount of times a number can go into the other number. So 600 divided by 300 is 2.
What is the difference in the steps you take to evaluate (-7)^2 and -7^2 ? What is the
difference in the values?
Answers
Answer:dap
Step-by-step explanation:
3x-4=2x+1
hello there fair mate
Answers
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
3x - 4 = 2x + 1
Step 2: Solve for x
Subtract 2x on both sides: x - 4 = 1
Add 4 on both sides: x = 5
Answer:
x=5
Step-by-step explanation:
3x-4=2x+1----> you subtract 2x on both sides---->x-4=1 -----> then add 4 on both sides and you get---> x=5. Hope it helped.
Which table represents a linear function?
1
1
y
1
2
1
XIN
1
2
2
2
3
4
9
13
21
3
12
2
3
AWNI
4
4
Х
1
у
0
농
2
3
4
6
16
30
Answers
Answer:
Step-by-step explanation:
H
Which ones are polygons?
Answers
Answer:
C
Step-by-step explanation:
it's a complex polygon
Answer: BCF
Step-by-step explanation:
Scale factor from ABCD to PQRS
Answers
Answer:
I think it's 2 to 4. i advise you should xheck utube for tue explanation
Find the sum of the first twenty
terms of the arithmetic progression loga + loga² + loga^3
Answers
Answer:
I hope it will help you :)
What vertical line (V) and horizontal line (H) intersect at point C? Question 9 options: A) V: x = –2.5; H: y = 5.5 B) V: y = 5.5; H: x = –2.5 C) V: y = –2.5; H: x = 5.5 D) V: x = 5.5; H: y = –2.5
Answers
Answer:
its b
Step-by-step explanation:
The vertical line (V) and horizontal line (H) intersect at point C are V: x = 5.5; H: y = –2.5 option (D) is correct.
What is a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the graph,
The coordinate of point C is (5.5, -2.5)
The vertical line (V) and horizontal line (H) intersect at point C are:
x = 5.5 (Vertical line)
y = -2.5 (Horizontal line)
Thus, the vertical line (V) and horizontal line (H) intersect at point C are V: x = 5.5; H: y = –2.5 option (D) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
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solve this below. 4(3y+7)=40
Answers
12y + 28 = 40
Subtract 28 on both sides:
12y = 12
y = 1
Hope this helped
There are 16 coins totaling $1.08. All 16 coins were pennies, nickels, and dimes. The number of dimes is equal to the sum of the number of pennies and the number of nickels. How many of each coin is there?
Answers
Answer:
Let the number of nickels be x
Let the number of pennies be y
Let the number of dimes be z
Now z=x+y
FIrst equation:
z+x+y=16
Subsittue for z:
x+y+x+y=16
y=8-x (subsitution)
Hope this helps :)
Step-by-step explanation:
The following data values represent a sample. What is the variance of the sample? X=9. Use the information in the table to help you.
Answers
Answer: it’s 28 for sure
Step-by-step explanation:
Answer:28
Step-by-step explanation:
The function 20x - y = 250 describes the profit y Bridget can make from selling x pairs of earrings. The graph of this function is a line. Find it’s slope.
Answers
Answer:
20
Step-by-step explanation:
y=mx+b
m=slope
y=20x-250
Alguém poderia me ajudar nessa questão a print está aí
Answers
help me for brainliest
Answers
Answer:
D = <-2, 10>Step-by-step explanation:
Domain is from x to x.
You can use a ruler to determine it:
Put ruler perpendicular to X-axis at the left end. Move the ruler slowly along X-axis to the right.
When the ruler touch the graph there the x is the beginig of the domain.
Move along to the right. When the ruler touches end of graph there the x is end of the domain.
The filled dot means < >, and the empty dot means ( ).