Answer:
The coordinates of B' and C' are [tex]B'(x,y) = (4,4)[/tex] and [tex]C'(x,y) = (8, -1)[/tex].
Step-by-step explanation:
Vectorially speaking, the translation of a point is represented by the following operation:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Translated point.
[tex]T(x,y)[/tex] - Translation vector.
First, we need to calculate the translation vector after knowing that [tex]A(x,y) = (3,4)[/tex] and [tex]A'(x,y) = (6,2)[/tex]. That is:
[tex]T(x,y) = A'(x,y) - A(x,y)[/tex]
[tex]T(x,y) = (6,2) - (3,4)[/tex]
[tex]T(x,y) = (3, -2)[/tex]
Finally, we determine the coordinates of points B' and C':
[tex]B(x,y) = (1,6)[/tex], [tex]T(x,y) = (3, -2)[/tex]
[tex]B'(x,y) = (1,6) + (3,-2)[/tex]
[tex]B'(x,y) = (4,4)[/tex]
[tex]C(x,y) = (5,1)[/tex], [tex]T(x,y) = (3, -2)[/tex]
[tex]C'(x,y) = (5,1) + (3,-2)[/tex]
[tex]C'(x,y) = (8, -1)[/tex]
The coordinates of B' and C' are [tex]B'(x,y) = (4,4)[/tex] and [tex]C'(x,y) = (8, -1)[/tex].
The number of pages read by two students each day for 5 days are listed in the table.
Pages Read
Student
Number of Pages in Each Book
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75
Which statements are true regarding the two data sets? Check all that apply.
The means for both data sets are equal.
The means for the data sets are not equal.
The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
The range of the number of pages that Lionel read is 75.
The range of the number of pages that Aaron read is 50.
Answer:
Means for both are equal
Range for Lionel is greater than for Aaron
Range for Lionel is 75
Step-by-step explanation:
Answer:
person above is right
Step-by-step explanation:
A restaurant offers four different appetizers, nine different entrees, and three different desserts
How
many different meals can you order of one appetizer, one entrée, and one dessert?
Step-by-step explanation:
with multiplying rules, we get
4 × 9 × 3 = 108 different meals
Stephen is merging onto a highway. The increase in Stephen's speed for the first 8 seconds can be described by the function f(t)=t2+13t, where t is time in seconds. Which is the average rate of change of f(t) between t=2 and t=6?
Answer:
21m/s
Step-by-step explanation:
The average rate of change is expressed as;
A(t) = f(b) - f(a)/b-a
a = 2, b = 6
f(2) = 2² + 13(2)
f(2) = 4 + 26
f(2) = 30
f(6) = 6² + 13(6)
f(6) = 36 + 78
f(6)= 114
b- a = 6-2
b-a = 4
Substitute;
A(t) = 114 - 30/4
A(t) = 84/4
A(t) = 21
Hence the average rateof change is 21m/s
Find the value of x. 43 degrees
An angle measures 14º more than the measure of its supplementary angle.
What is the measure of each angle?
T
Answer:
83 and 97
Step-by-step explanation:
Supplementary angles are two angles with a sum of 180 ∘
small angle = x
large angle = x+14
x + (x+14) = 180
2x +14 = 180
2x= 166
x = 83
large = 83 +14 = 97
83+97 = 180
-8k-3-2k+7 need help asap
Answer:
-8k-3-2k+7
-10k+4
how to simplify?
(look for like terms)
Find the value of x.
X=
Answer:
x = 65
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral sum to 180° , then
x + 115 = 180 ( subtract 115 from both sides )
x = 65
Write the equation of the line perpendicular to 2y= -x +6 through (4,-8)
A. y= 2x-16
B. y= 1/2x-10
C. y= -1/2x-6
D. y=2x
Answer:
B is perpendicular to 2y=-x+6
pls help im finna fail!!!
Enter the given equation in exponential format.
log base7/8 * 56x = 18y
Jackie can clean a house in 6 hours. When Jackie and Veronica work together, they can clean a house in about
3.6 hours. About how long will it take Veronica to clean a house if she works by herself?
Answer:
5.4 hr i think
Step-by-step explanation:
what is the area of triangle EDF?
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
8. A cellphone company charges $29.99 per month for the first 500 minutes of calls and $0.30 a minute for any calls over the 500-minute limit. . Last month Demetria made 615 minutes of calls on her cellphone. Excluding tax, what were the total charges for her cellphone calls last month? A. $29.99 B. $34.50 C. $64.49 D. $184.50
Answer:
C) $64.49
Step-by-step explanation:
let 'x' = #minutes
cost = 29.99 + 0.3(x-500)
= 29.99 + .3(115)
= 29.99 + 34.50
= $64.49
Find the area of the quarter circle with a radius of 18 cm. Use 3.14 for Pi and round the answer to the nearest hundredth.
What is the inverse of the function f(x) = 2x + 1?
o hex) = x-1
h(x) =
10x) = 3x-2
h(x) = 5x + 2
Answer:
y = x /2 - 1/2
Step-by-step explanation:
y = h(x)
y = 2x + 1 Interchange x and y
x = 2y + 1 Subtract 1
x - 1 = 2y Divide by 2
x/2 - 1/2 = y
y = x/2 - 1/2
None of your answers look like mine. If there is a mistake somewhere please leave a note.
Oliver is playing a game in which he has to choose one of three numbers (6, 7, or 8) and then one of five vowels (a, e, i, o, or u). How many possible outcomes are there?
Answer:
There are 15 possible outcomes
Step-by-step explanation:
Here, we want to get the number of possible results
From the question, we can see that each of the numbers have 5 different vowel attachment
What this mean is that, we have;
6a , 6e, 6i, 6o and 6u
For the three numbers, the possible results would be;
5 * 3 = 15
how is science made and who made science in the past
Answer:
science is not made but it exists by its self normally
The domain (input values) of the sine function is:
O A. angle measures between 0 and 7 radians.
O B. angle measures less than 90°.
C. all angle measures, including negative angles.
O D. angle measures between 0 and 21 radians.
Answer: C
Step-by-step explanation: :3 hope it helps
PLease help me will give branliest! desperate! Find the two missing sides and write your answer as in simplified radical form. image attached.
Answer:
y=3
x=6
Step-by-step explanation:
We can see from the image below that a= 3
which means that the legnht of y is 3
and the lenght of x is 3*2 or 6
can someone help with this? ive been doing the other ones correctly but this one has me stumped
RS is tangent to the given Circle.
We know that, radius from the center of the circle to the point of tangency is perpendicular to the tangent line.
So,
∠CRS = 90°
We also know that, sum of all angles inside a triangle is 180°.
So,
∠CRS + ∠CSR + ∠RCS = 180°
90° + 46° + x = 180°
136° + x = 180°
x = 180° - 136°
x = 44°
So, the value of x = 44°.
Find the value of r.
Answer:
3.75
Step-by-step explanation:
i got you
Step-by-step explanation:
root under 45 is the value of r
Be prepared to explain
the steps you would take
to solve a real-world
problem
Answer:
Be prepared as the questions states. Good luck.
Step-by-step explanation:
How would someone Algebraically determine X-Y intercepts?
Answer:
y-int: -6
x-int: -2/5 and 3
Step-by-step explanation:
you can find the y-intercept by substituting zero in for every 'x' in the equation;
y = 5(0) - 13(0) - 6
y = -6
to find the x-intercept(s), factor the trinomial by trying to find a pair of factors that multiply to 6 and add to -13; the factors that work are:
(5x + 2)(x - 3)
now set each factor equal to zero and solve for 'x':
5x + 2 = 0
5x = -2
x = -2/5
x - 3 = 0
x = 3
At a circuit-training fitness center, participants are asked to roll 2 dice simultaneously when they complete the circuit. If they roll doubles (both dice show the same number), then they win a water bottle.
Which of the following outcomes of 2 dice rolls would result in a player winning a water bottle? Check all that apply.
1, 1
1, 5
3, 3
2, 3
4, 6
6, 6
5, 6
Answer:
1,1 3,3 6,6
Step-by-step explanation:
Answer:
Step-by-step explanation:
i need the answer for this problem
Answer:
1.8x10^-4
Step-by-step explanation:
I did it by the calculator
Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?
Answer:
Q1 --> 18.5
Step-by-step explanation:
What are simultaneous equations
Answer:
Simultaneous equations are equations involving two or more unknowns that are to have the same values in each equation.
Without using a calculator, order the following numbers from least to greatest. sqrt(58) 8 7
foods that build up the immune system
Answer:
1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.
Step-by-step explanation:
Answer:
Citrus fruits.
Red bell peppers.
Broccoli.
Garlic.
Ginger.
Spinach.
Yogurt.
Almonds.
Step-by-step explanation:
Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?
Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
So, His miles per hour is 3 miles.
Answer:Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
Hope this helps
find the area of this figure
Answer:
170 in²
Step-by-step explanation:
This trapezoid is broken up into two shapes: a triangle and a parallelogram.
The formula for area of a triangle is b (base) × h(height) ÷ 2.
The base of the triangle is 4 and the height is 10.
b (base) × h(height) ÷ 2
10 × 14 ÷ 2 = 70
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The formula for area of a parallelogram is b (base) × h(height).
The base of the parallelogram is 10 and the is 10 as well.
b (base) × h(height)
10 × 10 = 100.
-------------------------------------------------------------------------------------------------------------
Lastly, add both areas.
100 + 70 = 170
Therefore, the area of this figure is 170 in².