Answer:
[tex]A' =(-y,x)[/tex]
Step-by-step explanation:
Given
Represent point A as thus;
[tex]A = (x,y)[/tex]
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
[tex]Pos = (y,x)[/tex]
Then, y is negated to give A'
[tex]A' =(-y,x)[/tex]
Enter an equation to describe the linear relationship.
The temperature, y, of a pot of water is 35 °
F. The temperature increases by 20 °
F per minute, x, when being heated.
The equation is y =
Answer:
x
Step-by-step explanation:
Please help me I really need it Big points for help.
The three Miller boys were calculating the volume of their new fish tank to determine how many gallons of water the tank can hold. Each brother measured a different dimension of the tank. Their measurements were 1 yard in length, 1 foot in width, and 18 inches in height.
1. There are approximately 7.5 gallons per cubic foot. If you want to know how many gallons of water the tank can hold, what unit of measure would you use to calculate the volume of the fish tank? Explain why
2. Determine how many gallons of water the fish tank can hold. Carefully show your work and include units of measure.
1. Because you know the number of gallons per square foot. You would want to use cubic feet for the measurement of the tank.
2. Convert all dimensions to feet:
1 yard = 3 feet
18 inches = 1.5 feet.
Volume of tank = 3 x 1.5 x 1 = 4.5 cubic feet.
Multiply gallons per cubic foot by cubic feet of tank:
7.5 x 4.5 = 33.75 gallons.
how to do this question plz
How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.
ANSWER PLS
thank you so much!
beep and peeb and bee and pee
Answer:
6
Step-by-step explanation:
the one E doesn't count so 3! is 3*2*1 which is 6
PLZ MARK ME BRAINLIEST
Find 1/20 of 180 dollars
Answer:
9
Step-by-step explanation:
180÷20=9.
Could I please have BRAINLIEST?
Quadrilateral WXYZ with vertices W(-6, 7),
X(-3, 6), Y(-1,3), and Z(-7,1): 180°
Get wxyz
Answer:
W (6,-7) X(3,-6) Y (1,-3) Z(7,-1)
Step-by-step explanation:
This is the answer because to do this you have to know that the 180 degress (x,y) changes to (-x,-y) The negative sign means opposite so, if it is Z(-7,1) it changes to (7,-1).
Hope this helped!
Expand 3x(x^2 – 5x + 6)
Answer:
3x^3-15x^2+18x
Step-by-step explanation:
Answer:
[tex]3x^{3}-15x^{2} +18x[/tex]
Step-by-step explanation:
In order to expand this expression you need to distribute the 3x to all the terms inside the parenthesis.
12. Carlos charges c dollars per hour for landscaping services. If he increases
his rate by 25%, which expression represents his new rate, in dollars per hour?
A. C +0.25
B. c + 25
C. C +0.25c
D. C + 25c
In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
Mark this and return
Answer:
5
Step-by-step explanation:
and Slope
Which point-slope equation represents a line that passes through (3,-2) with a slope of - 4?
5
Oy-3=-=(x + 2)
Oy-2 = (x-3)
Oy+2=-(-3)
Oy+3 = (x + 2)
Answer: y+2=-4/5(x-3)
Step-by-step explanation:
The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is a slope of a line and a point passing by it, we need to find the equation of the line,
So, the general equation of the line is :-
y = mx + c
where, m is the slope, and the c is the y-intercept.
Put the value of the slope given, in the equation,
y = -4x+c
Now, for find the value of c, just put the values of the x and y from the point in the equation,
-2 = -4(3) + c
c = -2+12
c = 10
Now, we get the value of the c,
So, the equation is y = -4x+10
Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
Learn more about equation, click;
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Segment KJ = 8, JI = x+6 and KI = 2x+8.
8
X + 6
K.
1
J
2x + 8
Find the values below. Be sure to show all your work.
a. Find x. [Respond Here]
b. Find the length of KI. [Respond Here]
Answer:
a). x = 6
b). Length of KI = 20 units
Step-by-step explanation:
From the picture attached,
a). Length of KI = length of KJ + length of JI
By substituting lengths of the segments given in the picture,
(2x + 8) = 8 + (x + 6)
2x + 8 = x + 14
2x - x = 14 - 8
x = 6
b). Length of KI = (2x + 8)
By substituting x = 6 in the expression,
Length of KI = 2(6) + 8
= 12 + 8
= 20 units
If f(x) = 10x + 3 what is the value of x when f(x) =19
Answer:
x = 1/ 10 y + −3 /10
Step-by-step explanation:
Let's solve for x.
y = 10x + 3
Step 1: Flip the equation.
10x + 3 = y
Step 2: Add -3 to both sides.
10x + 3 + −3 = y + −3
10x = y −3
Step 3: Divide both sides by 10.
10/10x = y −3/ 10
x = 1 /10 y + −3 /10
Therefore the answer is
x = 1/ 10 y + −3 /10
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HELP ME 10 points I NEED HELP TIMED
A line passes through the points (8,-1) and (-4, 2).
What is the y-intercept of this line?
-4
-1
1
4 ?????!
Answer:
y = (-1/4)x + 1 so that the y-intercept is 1
Step-by-step explanation:
The slope is (-1 - 2)/[8 - (-4)] = -3/12 = -(1/4)
(-1/4) = (y - 2)/(x + 4) => -x - 4 = 4y - 8
-x + 4 = 4y
y = (-1/4)x + 1 so that the y-intercept is 1
Solve the equation for the red variable.
Answer:
w=6(6.6667-g)
Step-by-step explanation:
g=1/6w+6.6667
-1/6w=6.6667-g
-w=6(6.6667-g)
w=6(6.6667-g)
Noah’s dog weighs 15 1⁄3 pounds (lbs). Aiden’s dog weighs three times as much as Noah’s. How many pounds does Aiden’s dog weigh?
===============================================
Work Shown:
N = weight of Noah's dog = 15 & 1/3 pounds
A = weight of Aiden's dog = unknown
A = 3*N
A = 3*(15 & 1/3)
A = 3*(15 + 1/3)
A = 3*15 + 3*(1/3) .... distribute
A = 45 + 1
A = 46
Aiden's dog weighs 46 pounds.
If m3 + m1 =230, find m6
Answer:
m6 is 65 degrees
Step-by-step explanation:
Since angle 3 and angle 1 are congruent, they are the same degree. The problem said that the sum of their angles is 230, so to find the individual angles of each, divide by two to get 115. Angle 3 and angle 6 add up to 180 degrees since they are adjacent to each other (that's an important rule you need to know). If angle 3 is 115 and you need to find angle 6, subtract 180 from 115 and you will get 65.
Harold earns $10.50 per hour working at a doctor's office. On Monday, he spent 1 hours filing paperwork, 1 sending e-mails and 2
hours making appointments. What equation represents Harold's earnings?
you add the fractions together
1 5/12+1 3/4+2 1/3 is 4 3/1 which simplifies to 7
multiply 7 by 10.50 and get 73.5
ANSWER= $73.50
Name a point non-complanar to plane K
Answer:
did you attach an image?
Step-by-step explanation:
We have a figure given in question.
We have to find a point non-coplanar to plane K.
What is Coplanarity of points?Two or more points are coplanar if they lie on the same plane in the three dimensional coordinate system. If they don't lie on the same plane, then they are called non - coplanar.
According to the question, we have to find a point non-coplanar to
plane K.
All the points except points W and Y lie on plane K. Hence, W and Y are the two points that do not lie on the K - plane.
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There are two other ways to write this fraction.
−15/29
List them in the space below.
Answer:
-30/58 & -45/87
Step-by-step explanation:
The first answer is just multiplying the original by 2.
The second one is being multiplied by 3.
The multiplicated moves DO NOT CHANGE THE VALUE OF THE ORIGINAL FRACTION, meaning that they are equivalent. :))
The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.
Answer:
aₙ = 8n + 27Step-by-step explanation:
[tex]a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27[/tex]
The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $32 for each room. (a) How many rooms can a hotel pay the company to clean for $500? Write and solve an equation.
Answer:
15 rooms.
Step-by-step explanation:
32x=500
x=15.625
Rounding down (since you can't get a fraction of a room), you get 15 rooms.
Enter the correct answer in the box.
What is the factored form of this expression?
64x^3 - 125
Write all factors in standard form.
9514 1404 393
Answer:
(4x -5)(16x² +20x +25)
Step-by-step explanation:
The factoring of the difference of cubes has a standard form:
a³ -b³ = (a -b)(a² +ab +b²)
Here, your knowledge of the cubes of small integers tells you that ...
64 = 4³
125 = 5³
So, in the above, we have ...
a = 4x, b = 5
and the factored form is ...
(4x -5)(16x² +20x +25)
Which number is the additive inverse of -5?
O -1/5
O 0
O 1/5
O 5
Answer:
5
Step-by-step explanation:
It's the opposite of the sign. So you just add a negative if positive and a positive if negative.
Ex.
-20 = 20
14 = -14
what is 0.72 equivalent to?
Answer:
18/25
Step-by-step explanation:
Answer:
72%, or, 18/25
Step-by-step explanation:
I just converted 0.72 into a percentage and a fraction. I hope this helps! :P
the temperature in Chicago is 38 digresses it is 40 colder in north Dakota what is the temperature in north Dakota
Answer:
It would -2 degrees in North Dakota.
Step-by-step explanation:
Subtract 40 from 38 to get to -2.
Solve the proportion v/84 =2/21
Answer:
there is no solution for this equation, Hope this helps! x <3
Step-by-step explanation:
v/84=2/21
We move all terms to the left:
v/84-(2/21)=0
We add all the numbers together, and all the variables
v/84-(+2/21)=0
We get rid of parentheses
v/84-2/21=0
We calculate fractions
There is no solution for this equation
Professor Florido is studying a new hybrid watermelon. She knows that a watermelon seed has probability 0.88 of germinating. She decides to plant 5 seeds. (a) What is the probability that exactly 2 seeds will germinate? ( Round to 4 decimals) (b) What is the probability that at most 3 seeds will germinate? ( Round to 4 decimals)
Find the product
(-4)(-9)(-2)
Answer:
-72
Step-by-step explanation:
(-4)(-9)(-2)=
36(-2)=
-72
what percent is 52.52 million of 142 million
Answer:
37%
Step-by-step explanation:
Given parameters:
Total number = 142 million
Comparing number = 52.52 million
Unknown:
What percent is the number =?
Solution
The percentage;
= [tex]\frac{comparing number }{total number } x 100[/tex]
= [tex]\frac{52520000}{142000000}[/tex] x 100
= 37%
Answer:
dwadwdwa
Step-by-step explanation:
please help me!! :)
Answer:
1/2
Step-by-step explanation:
hope this helps :o