Answer:
Rotation of 180° about the origin,
Followed by a translation (x, y) → (x + 1, y + 1)
Step-by-step explanation:
Given
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S" = (5,2)[/tex]
Required
Determine the transformations
From the list of given options (B) answers the question.
Rotation of 180° about the origin,
When a point (x,y) is rotated 180 about the origin, the new point becomes (-x,y)
So:
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
becomes
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
A translation (x, y) → (x + 1, y + 1)
This implies that 1 is added to the x and y coordinates
So:
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
becomes
[tex]R" = (2 + 1,-4 + 1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S"=(4 +1,1+1)[/tex]
[tex]S" = (5,2)[/tex]
Convert 6 4/5 into improper fractions.
32/6
32/5
33/5
36/5
Answer: 34/5
Step-by-step explanation:
owen has a collection of nickels and quarters worth $8.10. If the nickels were quarters and the quarters were nickels, the value would be $17.70. Find the number of each coin.
An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?
Answer:
The bridge is 80 feet long
Step-by-step explanation:
We will use the ratio method to solve the question
∵ The engineer used the scale 3 inch = 40 feet
∴ The scale drawing is ⇒ 3 inche : 40 feet
∵ The drawing length of the bridge is 6 inches
→ By using the ratio method
→ inch : feet
→ 3 : 40
→ 6 : x
→ By using cross multiplication
∵ 3 × x = 6 × 40
∴ 3x = 240
→ Divide both sides by 3
∴ x = 80
∵ x represents the actual length of the bridge
∴ The bridge is 80 feet long
I will award 30 points to anyone that can solve this. If i fail i have to retake
Answer: it’s all in the pictures hope this helps!!:)
Step-by-step explanation:
Answer:
x=-4, y=1
Step-by-step explanation:
One number is 6 less than another number. Their sum is 50. What is the smaller number?
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6
Answer:
y = 2x - 6
Step-by-step explanation:
PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x
Step-by-step explanation:
multiply all the numbers by 4 I think except for the exponent
Answer:
i-i13/2 hope this helps
Step-by-sitep explanation:
PLS HELP!!
What is the volume of a cone with a radius of 5 inches and a height of 12 inches? (Use 3.14 for .)
942 cubic inches
314 cubic inches
376.8 cubic inches
125.6 cubic inches
Answer:
The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.
Step-by-step explanation:
i think thats it it was right on gogle
Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?
Answer:
A haircut costs $31
Coloring hair costs $93
Step-by-step explanation:
h = haircut
c = color
First equation: 1h + 2c = 217
Second equation: 2h + 1c = 155
Solve using elimination:
First, multiply both the equations so that they cancel the h's out:
First equation:
-1(2h + 1c = 155)
-2h - 1c = -155
Second equation:
2(1h + 2c = 217)
2h + 4c = 434
Then, put the equations together, and solve:
2h + 4c = 434
-2h - 1c = -155
3c = 279
c = 93
Find h:
2h + 1c = 155
2h + 1(93) = 155
2h + 93 = 155
2h = 62
h = 31
Hope this helped!
A store is having a 20 percent off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.
Answer:
$65
Step-by-step explanation:
Given
Percentage discount = 20%
Equivalent amount saved = $13
Let the original price of the product be x
To get x;
20% of x = 13
0.2x = 13
0.2x = -13
0.2 = 13
x = 13/0.2
x = $65
Hence the original price of the product is $65
help me please I dont know the answer and I am cleaning the house for my mom
17/20 = t + (- 13/20)
t = 17/20 + 13/20
t = 30/20
t = 1.5
If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.
Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
Twelve plus the product of twelve and a number is seventy-two.”
Simon bought 3.5 pounds of Beef on sale for $1.25 per pound at HEB. If Simon gave the cashier $10.00, how much change would he receive from this purchase?
Answer:
5.625
Step-by-step explanation:
PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?
Answer:
the answer is c
Step-by-step explanation:
good luck
Answer:
last option
Domain: -3,-1,2,5 Range: 0,2,4
It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!
Step-by-step explanation:
The domain is the x values and the range is the y values.
Hope this helps!
Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.
Answer:
100feet
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
y = 100 feet
Hence the maximum height reached by the object is 100feet
Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12
0 yes or no
1 yes or no
2 yes or no
3 yes or no
can you answer all 4 of please
1.) No
2.) No
3.) Yes
4.) Yes.
Find the difference.
89 – 52.05
A. 36.95
B. 35.95
C. 37.95
D. 37.05
Order from least to greatest
6.8
The square root of 54/3
The square root of 13
26/3
PLEASE HELP
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
12 cups= 3 quarts
there ya goo
please solve this i need this answer
Answer:
GHC
Step-by-step explanation:
Answer:
the co-interior angle of angle AGH is Angle GHC.
There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !
Answer:
304.8 millimeters
Step-by-step explanation:
Answer:
0.003
Step-by-step explanation:
I need help! please help
Answer:
B
Step-by-step explanation:
Please mark me brainleist
the sum of renting bowling shoes for $6 and $3 per game
Answer:
9
Step-by-step explanation: 6+3=9
The rent is $9
Identify the slope of the table
Answer:
The alop is 4. Glad this helps.
Answer:
the slope is 4
Step-by-step explanation:
Help... pls ASAP Fill in the blanks
Answer:
I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.
Step-by-step explanation:
So, for the chart you just mulitply and evauluate
Time (min) | 2 | 3 | 4 | 5 | 6 |
Water used (gal) | 8 | 12 | 16 | 20 | 24 |
1. solve for x
2(-3x+1) < -5x+14
2. -2(3x+15) less than or equal to 42
Answer:
For your first question, the solution is x> -12
Step-by-step explanation:
First, expand 2(-3x+1), writing it as -6x+2
Next, subtract both sides by 2;
-6x + 2 - 2 < -5x + 14 - 2
Then, we simplify;
-6x < -5x + 12
Next, add both sides to 5x;
-6x + 5x < -5x + 12 + 5x
Simplify;
-x<12
Then, multiply both sides by -1, using reverse of inequality;
(-x)(-1)>12(-1)
Finally, simplify;
x>-12
Answer:
The answer to your second question is x is greater than or equal to -12.
Step-by-step explanation:
First, multiply both sides by -1, reversing the inequality;
(-2(3x+15))(-1) greater than or equal to 42(-1)
Next, simplify;
2(3x+15) greater than or equal to -42
Then, divide 2 from both sides;
2(3x+15/2 greater than or equal to -42/2
Next, simplify;
3x + 15 greater than or equal to -21
Then, we subtract both sides by 15;
3x+15-15 greater than or equal to -21-15
Simplify;
3x greater than or equal to -36
Next, divide 3 from both sides;
3x/3 greater than or equal to -36/3
Finally, simplify;
x greater than or equal to -12
I hope we helped you answer your question.
Anybody wanna help me on this?
Answer:
(0,-2) , (2,1) , (4,4)
Step-by-step explanation:
those are the points, now connect then with a line
6.8 * 10(2)
*keep in note that "2" is an exponent in this question*
Answer:
68
Step-by-step explanation:
6.8 × [tex]10^2[/tex]
= 68
how do you find the y - intercept (explain in sentences)
ASSIGNMENT DUE IN 30 MINS PLZ HELP!!!!
I WILL GIVE U BRAINLIEST!!!