The coordinates of the three vertices of a square are shown in the figure. What are the coordinates of the fourth vertex?
Answers
Answer:
(-2, 1)
Step-by-step explanation:
The 4th point must be vertically above (-2, -4) and horizontally to the left of (3, 1).
Its coordinates are (-2, 1).
Related Questions
A rectangle is 12 cm longer than it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 108 cm². Find its original dimensions.
Answers
Let the width be "x" cm.
Then the length is "x+12" cm
And the area = x(x+12) = x^2+12x cm^2
----------------------------
Change the dimensions:
width = "x-2" cm
length = "x+10" cm
New area = (x-2)(x+10) = x^2 + 8x - 20 cm^2
------------------
Equations :
Old area - New area = 108 cm^2
x^2+12x -(x^2 + 8x - 20) = 108
4x + 20 = 108
4x = 88
x = 22 cm (original width)
x+12 = 24 cm (original length)
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A. 4w + 3
B. w – 3
C. 5w
D. 6w + 4
( NO LINKS) Please (hurry please!!!)
Answers
Answer: its 5w
Step-by-step explanation:
Solve 2(x + 3) = x - 4
Answers
Answer:
х=-10...............
Answer:
2(x + 3) = x - 4
2x + 6 = x - 4
2x - x = - 4 - 6
x = - 10
Solve 2x + 9 <17 and 14 <-7 + 3x.
Use the work to complete the sentences describing the
solution set to the compound inequality 2x + 9 < 17 and
14 <-7 + 3x
The graph of x < 4 is
and
2x + 9 <17
-9-9
2x < 8
14 <- 7 + 3x
+7 +7
21 < 3x
7
The graph of 7 < x is
x<4
Because this is an "and" compound inequality,
solutions satisfy
The solution set to the compound inequality is
Answers
Answer:
The graph of x < 4 is
✔ an open circle at 4 shaded to the left
The graph of 7 < x is
✔ an open circle at 7shaded to the right
Because this is an “and” compound inequality, solutions satisfy
✔ both inequalities
The solution set to the compound inequality is
✔ no solution
Step-by-step explanation:
Got it right
Answer:
D C A D in that order i got it right on edge 2020
Step-by-step explanation:
2. What is the slope of the line below?
Answers
Answer:
J
Step-by-step explanation:
A - B: 3 up and 2 left
since it's going up and left it's positive
Write an equation of the line passing through the points (4,10) and (-1,-15)
Answers
Answer:
Step-by-step explanation:
help me with the function written in recursive form
Answers
Answer:
S/A/H/a=8
Step-by-step explanation:
A rectangular parking lot is 120 feet long and 75 feet wide. Diego made another scale drawing of the parking lot at a scale of 1 to 180. The drawing he produced is also 8 inches by 5 inches. (Remember the video. Scales with no units represent the SAME UNIT. So how is Diego using a different scale than Lin, but ended up with the same drawing?) (12 inches = 1 foot) 2.) Explain or show how Diego's scale would produce an 8 inch by 5-inch drawing.
Answers
Answer:
We kindly invite you to read carefully the explanation detailed below for further details.
Step-by-step explanation:
At first we understand that Diego converted length and wide units from feet to inches ([tex]1\,ft = 12\,in[/tex]) and then he divided each term by 180, since he was using a reduction scale, so that rectangular parking lot can be represented on paper. That is:
Step 1 - Unit conversion:
[tex]l = 120\,ft[/tex] ([tex]l[/tex] - Length)
[tex]l = 120\,ft\times \frac{12\,in}{1\,ft}[/tex]
[tex]l = 1440\,in[/tex]
[tex]w = 75\,ft[/tex] ([tex]w[/tex] - Width)
[tex]w = 75\,ft\times \frac{12\,in}{1\,ft}[/tex]
[tex]w = 900\,in[/tex]
Step 2 - Applying scaling:
[tex]l' = \frac{l}{180}[/tex] ([tex]l'[/tex] - Scaled length)
[tex]l' = \frac{1440\,in}{180}[/tex]
[tex]l' = 8\,in[/tex]
[tex]w' = \frac{w}{180}[/tex] ([tex]w'[/tex] - Scaled width)
[tex]w' = \frac{900\,in}{180}[/tex]
[tex]w' = 5\,in[/tex]
Use the leading coefficient and degree of the polynomial function f(x) = x3 – 7x2 + 10x to determine the end behavior of its graph. Select all the correct statements. A. As x → ∞, y → ∞. B. As x → ∞, y → −∞. C. As x → −∞, y → ∞. D. As x → −∞, y → −∞. E. As x → ∞, y → 0.
Answers
Given:
The function is
[tex]f(x)=x^3-7x^2+10x[/tex]
To find:
The end behavior of its graph.
Solution:
We have,
[tex]f(x)=x^3-7x^2+10x[/tex]
Here, leading coefficient is 1 which is positive and degree of function is 3 which is odd.
For odd degree and positive leading coefficient, the end behavior is
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
Using this, we get
[tex]\text{As }x\to \infty, y\to \infty[/tex]
[tex]\text{As }x\to -\infty, y\to -\infty[/tex]
Therefore, the correct statements are A and D.
We want to study the end behavior of the given polynomial.
The two correct statements are A and D.
As x → ∞, y → ∞As x → −∞, y → −∞The polynomial is:
f(x) = x^3 - 7*x^2 + 10*x.
We can see that the degree of this polynomial is odd, this means that the behavior on the negative side is opposite to the one in the positive side.
In this case, the leading coefficient is one, so it is positive. This will mean that, for large positive values of x, f(x) will be positive.
For large (in absolute value) negative values of x, f(x) will be negative.
Then the end behavior is given by:
As x → ∞, y → ∞As x → −∞, y → −∞So the two correct statements are A and D.
If you want to learn more, you can read:
https://brainly.com/question/22723521
PLEASEEEE HELP ME I NEED TO SHOW MY WORK TOO HELP
Answers
x = -2
y = 3
[tex]-4x-2y=2\\ -4x+y=11[/tex]
Subtract the two equations
[tex]-4x-2y-(-4x+y)=2-11[/tex]
Remove parentheses
[tex]-4x-2y+4x-y=2-11[/tex]
Cancel one variable
[tex]-2y-y=2-11[/tex]
Combine like terms
[tex]-3y=2-11[/tex]
Calculate the sum or difference
[tex]-3y=-9[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]y=\frac{-9}{-3}[/tex]
Determine the sign for multiplication or division
[tex]y=\frac{9}{3}[/tex]
Cross out the common factor
[tex]y=3[/tex]
Substitute into one of the equations
[tex]-4x+3=11[/tex]
Rearrange variables to the left side of the equation
[tex]-4x=11-3[/tex]
Calculate the sum or difference
[tex]-4x=8[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=-\frac{8}{4}[/tex]
Cross out the common factor
[tex]x=-2[/tex]
The solution of the system is
[tex]x=-2\\ y=3[/tex]
I hope this helps you
:)
Mr. Rahm purchases a new car for $24,000 and finances it with a 5-year simple interest loan at an annual rate of 3. 75%. What are Mr. Rahim's monthly car payments?
Answers
Answer:
$475
Step-by-step explanation:
The total amount Rahim will be paying is found from the simple interest formula ...
A = P(1 +rt) . . . . . P is the loan amount, r is the annual rate, t is the number of years.
A = $24,000(1 +0.0375×5) = $28,500
Spread over 60 monthly payments, that amounts to ...
$28,500/60 = $475 . . . per month
__
Additional comment
Mr. Rahim's loan has an APR of 6.98%. This sort of loan costs more than the interest rate might suggest, because interest is still being paid on principal that has already been repaid.
3 x + 5 = 20 is it 15 , 25 or 5
Answers
Answer:
Today: Monday, 12 October 2020
Hour: 09.08 WIB (in Indonesian)
_________________________
3x + 5 = 20
3x = 20 - 5
3x = 15
x = 15/3
x = 5
Answer:
the answer is 5
Step-by-step explanation:
you subtract 5 from both sides and you get 3x=15 you divide and you get 5
This is due tonight please help
Answers
Using PEMDAS, you start with the multiplication first. Multiply 3 x 1/16 to get 3/16
Next, subtract 3/16 from 5/8 to get 7/16 or 0.4375
hope this helps!
#6 find the slope in the graph MULTIPLE CHOICE
Answers
I'm assuming problem 6 is the graph on the right.
If so, then the slope is 1/2
Start at a point like (0,-1) which is the y intercept. Move up 1 and to the right 2 to arrive at (2,0) which is the x intercept.
The movement pattern "up 1, right 2" determines the slope directly
slope = rise/run = 1/2
rise = 1 = go up 1
run = 2 = go to the right 2
------------------------------
You could also pick two points from the blue line, then use the slope formula. If we picked (0,-1) and (2,0), then
m = (y2-y1)/(x2-x1)
m = (0-(-1))/(2-0)
m = (0+1)/(2-0)
m = 1/2
Solve for x, I'm confused
Answers
[tex][Hello,BrainlyUser][/tex]
Answer:
x = 22
Step-by-step explanation:
Knowing that it a supplementary angle = 180 degree
It a right angle therefore it makes that 90 degree
Thus,
The 2 equation is
4x + 2 = 90
3x + 24 = 90
Let first solve this one
4x + 2 = 90
Subtract 2 from both sides
4x + 2 - 2= 90-2
Simplify
4x = 88
Divide both sides by the same factor
4x/4 = 88/4
Simplify
x = 22
Now the second equation:
3x + 24 = 90
Subtract 24 from both sides
3x + 24 - 24 = 90 -24
Simplify
3x = 66
Divide both sides by the same factor
3x/3 = 66/3
Simplify
x = 22
Hence, x = 22.
[CloudBreeze]
what is the answer to 8÷2(2+2)?
Answers
Answer:
16
Step-by-step explanation: parenthesis first (2+2)=4
then division 8/2=4
then multiply 4x4=16
Answer:
16
Step-by-step explanation:
8÷2(2+2)
(2+2)
8÷2(4)
8÷2
4(4)
16
Tim sold 15 boxes of doughnuts for a school fundraiser. The boxes cost $4 each. Which pair of expressions shows two ways to determine the total cost of the doughnuts Tim sold? A) 10 × 4 and 10 × 5 B) 15 × 4 and 10 × 4 C) (15 × 4) + (5 × 4) and 4 + 4 + 4 + 4 D) (10 × 4) + (5 × 4) and 15 + 15 + 15 + 15
Answers
Answer:
(D) (10 × 4) + (5 × 4) and 15 + 15 + 15 + 15
Step-by-step explanation:
Given;
total number of boxes of doughnuts sold, T = 15 boxes
the cost of each box of doughnuts, C = $4
The total cost of the doughnuts sold = 4 x 15 = $60
The only option that contains pair of expressions that is equal to $60 is option D.
(D) (10 × 4) + (5 × 4) and 15 + 15 + 15 + 15
(10 × 4) + (5 × 4) = 40 + 20 = $60
15 + 15 + 15 + 15 = $60
Evaluate write your answer as a fraction in simplest form: (2/3)^4
Answers
Answer:
16/81
Step-by-step explanation:
(2/3)^4 is the same thing as 2^4/3^4
2^4 = 16
3^4 = 81
The simplest form is 16/81
Turn the algebraic expression into a verbal expression:
8p+5r
How would you say that writing it out mathematically speaking?
Answers
ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!
This is page 1
Answers
Answer:
Step-by-step explanation:
Elena has $225 in her bank account. She takes out $20 each week for w weeks. After w weeks she has d dollars left in her bank account.
Answers
Answer:
After 11 weeks she has 5 dollars left in her bank account
Step-by-step explanation
I divided 225 ÷ 5 without going to the end of the operation so the rest was 5 dollars.
dilation of 1.5 about the origin
G(-2, 0), H(-1, 3), I(3, -1), J(-1, -2)
Answers
Answer:
Dilation is a transformation, that stretches or shrinks the original figure presented on the grid based on the scale factor. Included here are umpteen printable worksheets to help 8th grade and high school students hone in on finding the scale factor, identifying the dilation type, determining the new coordinates and drawing the dilated shapes with the center as origin.
Step-by-step explanation:
You are designing a rectangular garden. You have enough material
to have a perimeter of 90 feet. The length will be twice the width.
Write and solve and equation to determine the width w of the
garden.
Ingth
Answers
So, length = 2w
Perimeter of rectangle = 2*length + 2*width
2*length + 2*width = 90
2*2w + 2*w= 90
4w + 2w = 90
6w = 90
Divide both sides by 6
w = 90/6
w = 15 ft
What is the answer to this?
Answers
Answer:
its c
Step-by-step explanation:
A x B = ab
A x C = ac
A x D = ad
(ab-ac-ad)
11 c. What is a limited liability partnership? For what kind of company or owners could this be a good option?
Answers
Answer:
Limited Liability partnership allows for a partnership structure where each partner's liabilities are limited to the amount they put into the business.
The kinds of businesses that limited liability partnerships would be a good option for jobs like:
-Law firms
-Accounting firms
-Doctor offices
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
solve pls brainliest
Answers
Answer:
42/5 or 8 2/5 as a mixed number
Step-by-step explanation:
7/5*6=42/5
Answer:
42/5 the alternative form is 8 and 2/5 . 8,4
Step-by-step explanation:
1 2/5 x 6
Convert the mixer number to an improper fraction
7/5 x6
Calculate the product
42/5
The solution is
42/5
I need help with percentages
Answers
Answer:
3a. 7.2
3b. 0.9
4a. 7.2
4b. 2.4
5a. 104
5b. 260
hope this helps, everything in bold is the correct answer,
have an awesome day, -TJ
Answer:
3.a. 36
b. 4.5
4.a. 7.2
b. 2.4
5.a. 104
b. 260
Step-by-step explanation:
100/20 = 5
18 x 5 = 90 (100%)
18 x 2 = 36
18/4 = 4.5
14.4/2 = 7.2
7.2/3 = 2.4
52 x 2 = 104 (100%)
(195/3) 4 = 65 x 4
65 x 4 = 260 (100%)
Please I need help asap
Answers
Answer:
<3 ~= <5 - Alternate Interior Angles Theorem
<3 ~= < 7 - Corresponding Angles Theorem
<5 ~= <7 - Vertical Angles Theorem
line I || line m - Transitive Property
witcch point lies on the line of the point-slpoe equation y-2=5(x-6)
Answers
Answer:
See below.
Step-by-step explanation:
Simplify
y - 2 = 5(x - 6)
y - 2 = 5x - 30
y = 5x - 28
Points which lie on the line
(6, 2)
(5, -3)
(7, 7)
Answer:
(6, 2 )
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 2 = 5(x - 6) ← is in point- slope form
with (a, b ) = (6, 2 )
then (6, 2 ) is a point on the line
help me pls..
I don't need an explanation
Answers
Answer:
they are both 41
Step-by-step explanation:
just do 90- 49= 41
Answer:
angle JOK- 41
angle MON - 41
Step-by-step explanation: