Answer:
C) Reflection across the x-axis.
Step-by-step explanation:
From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:
[tex]P'(x,y) = (x, -y)[/tex] (1)
If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:
[tex]A'(x,y) = (-1, -2)[/tex]
[tex]B'(x,y) = (-1,-5)[/tex]
[tex]C'(x,y) = (-3,-5)[/tex]
[tex]D'(x,y) = (-3,-2)[/tex]
In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.
This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.
Given:
Transform rectangle ABCD to rectangle A'B'C'D',
The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).
The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).
We need to determined the transformation that Kim perform to create rectangle A'B'C'D.
From Linear Algebra we define the reflection across the x-axis is for,
P(x,y) = (x,y)
P(x,y) = (x,-y) .....(1)
It is given that A(-1,2), B(-1,5), C(-3,5) and D(-3,2).
Therefore from equation (1) above point becomes,
A'(x,y) = (-1,-2)
B'(x,y) =(-1,-5)
C'(x,y) =(-3,-5)
D'(x,y) =(-3,-2)
Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.
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What is the volume of this composite solid?
2 m
8 m
3 m
5 m
Answer:
240
Step-by-step explanation:
2*8*3*5
Answer:
160
Step-by-step explanation:
a P e X
The ratio of the number of boys to the number of girls in the cast of a school play is 1:5 which statement must describe the cast of the play
Answer:
We have 3 boys and 2 girls. This gives a total count of 5. So we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25. So we have 5 lots of the ratio
what is the slope and y intercept of y=4x-5
Answer:
theres is your answer
Step-by-step explanation:
Explanation: y=4x−5 is in the form of the slope-intercept formula for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. By definition, the y-intercept is −5 .
20356000000000000 scientific notation
Answer:
2.0356 × 1016
Step-by-step explanation:
ASAP please help me I need this quick
The question and answers are in the picture
PLEASE HELP!!
multiplying complex numbers standard form
3i(-5+i)
Answer:
-3-15i
Step-by-step explanation:
3i*-5 = -15i
3i*i = 3i^2 (i^2 = -1)
= -3-15i
25 = 4x - 7, then x=
Answer:
x=8
Step-by-step explanation:
25=4x-7
+7 +7
32=4x
32/4 4x/4
8=x
4a2 - 1
c) 2а – За – 2
b) 7p + 6q- 2p + q = ?
[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]
Answer:
5p+7q is the answer
Step-by-step explanation:
what is 39.5/4 if you tell me you get 45 points
Answer:
9.875
Step-by-step explanation:
Answer:
9.875
Step-by-step explanation:
get a calculator
What is -6 (-4y + 8)
Answer:
24y-48
btw just downloaded a app called YHomework it shows the steps
What is the perimeter of the trapezoid?
units.
Answer:
20 unitsStep-by-step explanation:
perimeter of the given trapezoid = 7 + 4 + 4 + 5
= 20 units
(see image below)
Solve the equation M^2+4m+9=0.
Fully simplify all answers including non real solutions
Should end up with an answer like M=
Answer:
2 solutions:
1) m =(4-√52)/2=2-√ 13 = -1.606
2) m =(4+√52)/2=2+√ 13 = 5.606
Step-by-step explanation
The first term is, m2 its coefficient is 1 .
The middle term is, -4m its coefficient is -4 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9
Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -4 .
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1:
m2 - 4m - 9 = 0
STEP 2:
Parabola, Finding the Vertex:
2.1 Find the Vertex of y = m2-4m-9
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Am2+Bm+C,the m -coordinate of the vertex is given by -B/(2A) . In our case the m coordinate is 2.0000
Plugging into the parabola formula 2.0000 for m we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 9.0
or y = -13.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = m2-4m-9
Axis of Symmetry (dashed) {m}={ 2.00}
Vertex at {m,y} = { 2.00,-13.00}
m -Intercepts (Roots) :
Root 1 at {m,y} = {-1.61, 0.00}
Root 2 at {m,y} = { 5.61, 0.00}
Add 9 to both side of the equation :
m2-4m = 9
Now the clever bit: Take the coefficient of m , which is 4 , divide by two, giving 2 , and finally square it giving 4
Add 4 to both sides of the equation :
On the right hand side we have :
9 + 4 or, (9/1)+(4/1)
The common denominator of the two fractions is 1 Adding (9/1)+(4/1) gives 13/1
So adding to both sides we finally get :
m2-4m+4 = 13
Adding 4 has completed the left hand side into a perfect square :
m2-4m+4 =
(m-2) • (m-2) =
(m-2)2
Things which are equal to the same thing are also equal to one another. Since
m2-4m+4 = 13 and
m2-4m+4 = (m-2)2
then, according to the law of transitivity,
(m-2)2 = 13
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(m-2)2 is
(m-2)2/2 =
(m-2)1 =
m-2
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
m-2 = √ 13
Add 2 to both sides to obtain:
m = 2 + √ 13
Since a square root has two values, one positive and the other negative
m2 - 4m - 9 = 0
has two solutions:
m = 2 + √ 13
or
m = 2 - √ 13
Solving m2-4m-9 = 0 by the Quadratic Formula .
According to the Quadratic Formula, m , the solution for Am2+Bm+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
m = ————————
2A
In our case, A = 1
B = -4
C = -9
Accordingly, B2 - 4AC =
16 - (-36) =
52
Applying the quadratic formula :
4 ± √ 52
m = —————
2
Can √ 52 be simplified ?
Yes! The prime factorization of 52 is
2•2•13
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 52 = √ 2•2•13 =
± 2 • √ 13
√ 13 , rounded to 4 decimal digits, is 3.6056
So now we are looking at:
m = ( 4 ± 2 • 3.606 ) / 2
Two real solutions:
m =(4+√52)/2=2+√ 13 = 5.606
or:
m =(4-√52)/2=2-√ 13 = -1.606
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select three options.
–2
0
5
8
10
The answer since none of the others are correct are 0,5, and 8. Otherwise known as B,C,and D
Answer:
8, 5, 0 (B, C, D)
Step-by-step explanation:
okay so in order to solve this, first you would do 300-140 since the limit is 300 and 140 is already occupied. 300-140=160. Next, to find the number of 20-pound bags that can fit, you would do 160/20 or just 20b<_160 (<_ is less than or equal to). b<_ 8, therefore you could have anything ranging from 0b-8b. You cannot have a negative number of bags, that is just not possible, and with 10 bags, you surpass the weight limit by 40 pounds.
After purchasing a home for $160,00 the homeowner noticed the suggested value of her house was depreciating by 5% each year.
What is the decay factor for this situation?
A
0.05
B
0.50
C
0.95
D
1.05
the sum of 26 and twice a number
Answer:
the answer to your question is 78. and the algebraic expression is 26 times 2 equals 52, then 52 plus 26
Ed is on a road trip. He has already traveled 206 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 636 total miles?
Answer:
B 66x+206=636
what is the measure
Answer:
Step-by-step explanation:
t+t+10+t+20=180
3t+30=180
3t=180-30=150
t=150/3=50
t+20=50+20=70
exterior angle=180-70=110°
Henry owns seven dogs each day splits 13 cans of dog food equal among the dogs what is the number of cans of dog food that each dog gets in one day?
Answer: 1.8 cans
Step-by-step explanation:
Answer:
1.85 cans of dog food.
Step-by-step explanation:
You need to divide 13 cans by 7 dogs.
Need help with these 2
Answer:
1)(6,4)
11+1=12/2 =6
6+2=8/2=4
Find the absolute maximum value of the function
Answer:
find ity yourself -_______________-
Step-by-step explanation:
4.
What is the result of (f X g)(x) if
f(x) = -3x + 11 and g(x) = 11x + 7?
( 33x² 100x - 77
(B 33x - 142x - 77
C -33x + 100x + 77
D -33x² + 142x + 77
Answer:
thank you
Step-by-step explanation:
thanks for the pts i need them sowwy
A model airplane is 18 centimeters long. If the actual airplane is
60 meters long, what scale was used to create the model.
QUICK PLZ ILL GIVE BRAINLIEST
Answer:
13 so yeah it correect
0.052 divided by blank equals 0.052
Answer:
0.002704
Step-by-step explanation:
You just multiply 0.052 by itself
then divide the answer by 0.052
Will mark brainliest.
Answer:
integer
natural
whole
rational
Step-by-step explanation:
integer
natural
rational
real
whole
¿el numero 2 es numero primo o compuesto?
Classify the triangle
Answer: B I believe
Step-by-step explanation:
Answer:
Isosceles becuase there are 2 equal sides but 1 side is different.
please help me asap
Answer:
1. the first one
2. the second one
Step-by-step explanation:
The open circle means that it isn't equal to so x is less than two because of where its headed on the line
The second one is equal to becasue it's filled in. Once again X is less than this number beacause of which way it is going on the graph
what is a domain and range
and how do I find it
Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
The perimeter of a rectangle is 162 cm. The length of the rectangle is eleven centimeters more than
four times the size of the width. What is the length and width of the rectangle?
let
width = w
length = 4w + 11
2(length) + 2(width) = perimeter
2(4w + 11) + 2(w) = 162
8w + 22 + 2w = 162
10w + 22 = 162
10w = 140
w = 14 cm (WIDTH)
length = 4w + 11
length = 4(14) + 11
length = 56 + 11
LENGTH = 67 cm
The length is 4(14)+ 11 = 67 cm and width is 14 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter of rectangle = 162 cm
let the width be x .
then, the length is 4x+ 11
Thus, Perimeter of rectangle= 2(l + w)
162 = 2( 4x + 11 + x)
162 = 2( 5x +11)
81 = 5x+ 11
5x= 70
x= 14
Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.
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