Answer:
33
Step-by-step explanation:
In the coordinate plane, the point A(3,4) is translated to the point A(6,2). Under the same translation, the points B(1,6) and C(5,1) are translated to B and C, respectively. What are the coordinates of B and C.
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 length of a line segment is 13 units. One endpoint of the line segment is -3, 7. What four points could be the other endpoints of the line segment.
Answer:
the length of a line s3gment is 13 units then its 169
Without using a calculator, order the following numbers from least to greatest . 5 sqrt(14) 4
Answer:
.5, sqrt 14, 4
Step-by-step explanation:
.5, 3.7416, 4
Hellppppppppppppp I neeeeed itttt
Answer:
20
Step-by-step explanation:
It took Mary 37 minutes to make 8 posters wrote the statement as a rate
Answer:
1 for 4.625 mins
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the pyramid is 6\text{ ft}6 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
[tex]V=6.66\ ft^3[/tex]
Step-by-step explanation:
The perimeter of the square base of a pyramid = 7.3 ft
The height of the pyramid, h = 6ft
The perimeter of a square is given by :
P = 4s, s is the side of square
7.3 = 4s
s = 1.825 ft
The volume of a pyramid is given by :
[tex]V=\dfrac{lbh}{3}[/tex]
Here, l = b = 1.825 ft
So,
[tex]V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3[/tex]
So, the volume of the pyramid is equal to [tex]6.66\ ft^3[/tex].
solve , √(6*6) + √(7*7) please ASAP
Answer:
[tex] \sqrt{(6 \times 6 } + \sqrt{7 \times 7} \\ = \sqrt{ {6}^{2} } + \sqrt{ {7}^{2} } \\ = { ({6}^{2} )}^{ \frac{1}{2} } + { {(7}^{2} )}^{ \frac{1}{2} } \\ = 6 + 7 \\ = 13[/tex]
Answer:
The answer is 13 I hope that helped you buddy <3
The sum of two integers is 10, and the sum of their squares is a minimum. Find the integers.
how many 3 letters words can be formed with or without meaning from the letters DURIAN
Answer:
120 ways
Step-by-step explanation:
For this question, you just have to use the permutation technique or multiplication rule.
By using the multiplication rule,
6×5×4=120 ways
By using the permutation technique,
6P3=120 ways
correct me if I'm wrong
Which polynomial when factored gives the zeros for the polynomial shown in the graph? -) A) x3 + 8x2 + 21x + 18 B) x3 - 2x2 - 9x + 18 x3 - 4x2 – 3x + 18 D) x3 - 8x2 + 21x - 18
The function of the polynomial graph when factored is (d) [tex]f(x) = x^3 - 8x^2+ 21x - 18[/tex]
From the question (see attachment), we have the following highlights:
The graph crosses the x-axis at x = 2.The graph touches the x-axis at x = 3This means that:
The graph has a multiplicity of 1 at x = 2The graph has a multiplicity of 2 at x = 3So, the function of the graph is:
[tex]f(x) = (x - 2)(x - 3)^2[/tex]
Expand the exponent
[tex]f(x) = (x - 2)(x^2 - 6x + 9)[/tex]
Expand
[tex]f(x) = x^3 - 6x^2 + 9x - 2x^2 + 12x - 18[/tex]
Collect like terms
[tex]f(x) = x^3 - 6x^2 - 2x^2+ 9x + 12x - 18[/tex]
[tex]f(x) = x^3 - 8x^2+ 21x - 18[/tex]
Hence, the function of the graph is (d)
Read more about polynomial functions at:
https://brainly.com/question/2833285
13. Find the slope of the line that goes
through the points (-6,3) & (5,0)
(Plz help me)
(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units
Plz help
Answer: Choice D
|-50-12| = |-62| = 62 units
================================================================
Explanation:
Draw out a number line. Mark two points on it at A = -50 and B = 12
The expression |A-B| represents the distance between the two points. So that would be....
|A-B| = |-50-12| = |-62| = 62
Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.
-------------------
Slightly alternative method:
If you wanted, you could plot point C on the number like such that C is at 0.
The distance from A = -50 to C = 0 is exactly 50 units
From C = 0 to B = 12 is an additional 12 units
Therefore, the total distance is AC+CB = 50+12 = 62 units
-------------------
Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.
Given three side lengths, how many triangles can be formed?
A. infinitely many
B. 1
C. 3
D. 2
Please help me I have been stuck for a while now
The square root of 9 is 3, so the square root of 11 would be a little greater than 3
The answer would be C. 3.3
i need help with this plzzzzzzzzzzzzzzzzzzz
Answer:
Parallel lines have to have the same slope, and the only one that has a slope of 1/4 is y = 1/4x - 1/2
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U ITS 6TH GRADE GEOMETREY
Answer:
220 m²
Step-by-step explanation:
2(4 x 10) + 2(5 x 4) + 2(5 x 10) = 220
The coordinates of the point L are (-3,7) and the coordinates of point M are
(-3,2). What is the distance, in units, between the point L and point M?
Answer:
5.
Step-by-step explanation:
x axis is the same. do 7-2. Which equls 5.
Which answer is correct?
Answer:
B
Step-by-step explanation:
Philip rode less than her so immediately you subtract which cancels answers a and d.
we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5
In 3 548 729, what digit is in the ten thousands place?
Answer:
4
Step-by-step explanation:
Answer: 7
Step-by-step explanation: because it is 5 spaces over
Can someone plz help me it’s due at 11:30 plz help!!!
Write 4 equations:
-2 equations using sine based on triangle ABC
-2 equations using cosine based on triangle ABC
its B. if there's choices
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi
A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.
What is Pythagoras's Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
Let x be the length of the boat from the dock.
From the Pythagoras' theorem
[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]
Hence, the length of the boat from the dock will be 15 miles.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
#SPJ2
Lucy, Sam, and Jim sent a total of 75 text messages over their cell phones during the weekend. Lucy sent 5 more messages than Sam. Jim sent 2
times as many messages as Lucy. How many messages did they each send?
82 message
Step-by-step explanation:
Lucy send 5 messages Jim send 2 messages.
5 plus 2 equals 7.
75+7=82
IF the equation y = 2x + 1 were graphed on the given xy plane, where would the two lines intersect?
Miguel does 150 lunges and 120 pushups each week. Which statement is true about the ratio of lunges to pushups?
For every 5 lunges Miguel does, he does 4 pushups.
For every 4 lunges Miguel does, he does 5 pushups.
For every 15 lunges Miguel does, he does 4 pushups.
For every 12 lunges Miguel does, he does 5 pushups.
Answer:
For every 5 lunges, 4 pushups
Step-by-step explanation:
A soup can has a radius of 4 cm and a height
of 11 cm. There are 24 cans in one case. How
many litres of soup are in one case?
Answer: 9047.76
Step-by-step explanation: The area of each can is 376.99 litres and 376.99x24 is 9047.76. The formula for area of a cylinder is A=2πrh+2πr2.
Each sq. In. Of your body has about 6.5×10^2 pores. Suppose the back of your hand has an area of about 0.12×10^2 in^2
Answer:
7800 pores on the back of your hand
Step-by-step explanation:
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10^2)(.12 x 10^2) = 7800
The number of the pores on the back of your hand will be 7800
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10²)(.12 x 10²) = 7800
Hence the number of the pores on the back of your hand will be 7800
To know more area follow
https://brainly.com/question/24372553
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A store manager receives a delivery of 2 boxes of lightbulbs. Each box contains 25 lightbulbs. The store manager tests all the lightbulbs and finds that 2 of them are defective. Based on these results, what can the store manager predict about the next delivery of lightbulbs?
Group of answer choices
A. A delivery of 6 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
B. A delivery of 5 boxes will contain 10 more defective lightbulbs than a delivery of 2 boxes
C. A delivery of 4 boxes will contain 2 more defective lightbulbs than a delivery of 2 boxes
D. A delivery of 3 boxes will contain 3 more defective lightbulbs than a delivery of 2 boxes
Answer:
Answer is C
Step-by-step explanation:
There is one faulty light bulb in each box. 4 boxes 4 bad lightbulbs since there we two in the first to 2+2 is 4
Find X (2/3 x) (x + 40)
The Answer Is X=84
Make an equation for x.
x+40+2/3x=180
x+2/3x=140
Combine like terms.
1 2/3x=140
140/1 2/3 =84
x=84
The perimeter of the figure below is 61.1 m. Find the length of the missing side.
Answer:
I believe it would be 12.9
Step-by-step explanation:
perimeter is all of the outside lengths combined. if you take the 61.1 and subtract the lengths it gives you, the remaining length should be your answer