Answer:
k+2 or k=2
Step-by-step explanation:
combine -5 and 7 to get your answer
Answer:
K+2
Step-by-step explanation:
K - 5 + 7 ....add -5 and 7
K+2
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation? because both triangles appear to be equilateral because∠MNL and ∠ONP are congruent angles because one pair of congruent corresponding angles is sufficient to determine similar triangles because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN
Answer:
The correct option is;
Because ∠MNL and ∠ONP are congruent angles
Step-by-step explanation:
From the diagram shown in the question, ∠MNL and ∠ONP are vertically opposite angles as they are formed by crossing of the lines LP and MO making them congruent, that is ∠MNL ≅ ∠ONP
Given that two angle of triangle LMN are congruent to two angles of triangle PON , then by the Angle Angle (AA) rule of similarity, triangle LMN and PON are similar.
The information in the diagram enough to determine that △LMN ~ △PON because∠MNL and ∠ONP are congruent angles.
What are Congruent angles?These are referred to angles which have an equal measure. From the diagram ,vertically opposite angles are formed by crossing of the lines LP and MO thus,we can deduce that ∠MNL and ∠ONP are congruent angles.
This means that there is enough information to determine that △LMN ~ △PON using a rotation about point N and a dilation.
Read more about Congruent angles here https://brainly.com/question/1563325
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Please answer this in two minutes
Answer:
∠ G ≈ 38.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos G = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GH}{GI}[/tex] = [tex]\frac{7}{9}[/tex] , thus
∠ G = [tex]cos^{-1}[/tex] ([tex]\frac{7}{9}[/tex] ) ≈ 38.9° ( to the nearest tenth )
One airline ticket costs $412. for each additional airline ticket sold to a group, the price of all the tickets is reduced by $4. Write a quadratic function that gives the initial cost of buying x tickets.
Answer:
f(x)=104x-x^2
Step-by-step explanation:
Let
x = number of tickets sold.
example, 2 tickets cost 2 · 408 = $816
3 tickets cost 3 · 404 = $738.
The cost of buying x tickets= the number of tickets sold × the price of each ticket.
If x tickets are sold, then the price of each ticket is 412-4(x-1)
Then the quadratic function that gives the total cost of buying x tickets is given by
Cost =quantity sold*price
=412-4(x-1)*x
=(412-4x+4)*x
=412x-4x^2+4x
=416x-4x^2
Divide through by 4
=104x-x^2
Therefore, the required quadratic function is
f(x)=104x-x^2
Hi just need someone to check my amswers. Karana's mom bought her two items using a credit card. The first item cost $236, and the second item cost $384. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items? A. -$148 B. $620 C. -$620 D. $148 i chose C (-620)
Answer:
$620
Step-by-step explanation:
Plot the points A(−2, − 2), B(4, −2), ( 8, 3) and D(−3, 3 ) on the Cartesian plane. Join them in order and identify the figure so formed. Join AC and BD. Also write the coordinates of the points of intersection of both the diagonals with the X-axis as well as the Y-axis.
Answer:
The shape formed is trapezium
Step-by-step explanation:
Diagonal BD point of intersection with the y-axis = (0, 9) ,
Point of intersection of diagonal BD with the x-axis = (1.2, 0)
Diagonal AC point of intersection with the y-axis = (2, 0),
Point of intersection of diagonal AC with the x-axis = (0, 1)
Length of segment DC = 10.99 ≈ 11
Length of segment AB = 6.04
Length of segment DA = 5.13
Length of segment CA = 6.38
The perimeter of the formed trapezium = 11 + 5.13 + 6.38 + 6.04 = 28.55
The area of the trapezium = 1/2*(sum of parallel sides)*distance between the parallel sides
The parallel sides are DC and AB
The area of the trapezium = 1/2*(6.04+11)*5 = 42.6 unit.
Select the correct answer.
Which relation is a function?
a function will not have any repeating x values...they all have to be different...they can have repeating y values, just not repeating x values.
so ur answer is : { (-1,5), (-2,6), (-3,7) }...u see how there is no repeating x values....this is a function....the other 3 are not.
Amanda rides her bike due east for 10 km. Angela rides her bike 20 degrees south of east 12 km. How far apart are Amanda and Angela? (Round to the nearest tenth).
Answer:
Distance between Amanda and Angela (c) = 4.30 km (Approx)
Step-by-step explanation:
Given:
Amanda rides (a) = 10 km
Angela rides (b) = 12 km
Angel between them = 20°
Find:
Distance between Amanda and Angela (c)
Computation:
Using law of cosines:
c² = a² + b² - 2abCosФ
c² = 10² + 12² - 2(10)(12)Cos20°
c² = 100 + 144 - 2(10)(12)(0.9397)
c² = 244 - 225.528
c² = 18.472
c = 4.2979
Distance between Amanda and Angela (c) = 4.30 km (Approx)
Find a12 of the sequence 1/4,7/12,11/12,5/4,
Answer:
Your ans is. a12 = 47/12
Step-by-step explanation:
First, you need to find if the series has a common ratio or a common difference between each term. Based from observation, there is a common difference of 1/3 so the series is an arithmetic series.
The solution for this problem goes like this
an=a1+(n-1)d
a12=1/n+(12-1)(1/3)
a12=47/12
Hope it helped you.. Please mark BRAINLIEST
Tysm
2. The volume of the cylinder correct to 3 significant figures is"
Calculate the volume of the cylinder with a diameter of 10
meters and a height of 8 meters.
Answer:
628 meters²Option D is the correct option.
Step-by-step explanation:
Given,
Diameter ( D ) = 10 meters
Radius ( r ) = 10 ÷ 2 = 5 meters
Height ( h ) = 8 meters
Volume = ?
Now, let's find the volume of the given cylinder:
[tex]\pi \: {r}^{2} h[/tex]
Plug the values
[tex] = 3.14 \times {5}^{2} \times 8[/tex]
Evaluate the power
[tex] = 3.14 \times 25 \times 8[/tex]
Calculate the products
[tex] = 628 \: {m}^{2} [/tex]
Hope this helps...
Best regards!!
What is the solution to the system of equations graphed below?
Answer:
( 3 , -2 )Option B is the correct option.
Step-by-step explanation:
[tex]y = - 2x + 4...........(i)[/tex]
[tex]y = x - 5..........(ii)[/tex]
Equate ( i ) and ( ii ),
[tex] - 2x + 4 = x - 5[/tex]
Move variable to L.H.S and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex] - 2x - x = - 5 - 4[/tex]
Calculate
[tex] - 3x = - 9[/tex]
Divide both sides of the equation by -3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 9}{ - 3} [/tex]
Any expression divided by itself equals 1
[tex]x = \frac{ - 9}{ - 3} [/tex]
Dividing two negatives equals a positive [tex]( - ) \div ( - ) = ( + )[/tex]
[tex]x = \frac{9}{3} [/tex]
calculate the quotient
[tex]x = 3[/tex]
Value of X is 3
Now, put the value of X in equation ( i ) in order to find the value of y
[tex]y = x - 5[/tex]
plug the value of X
[tex] = 3 - 5[/tex]
Calculate
[tex] = - 2[/tex]
Value of y is -2
So, ( 3 , -2 ) is the solution of the given equation.
Hope this helps ....
Best regards!!
Check
Which expressions are a sum or difference of cubes? Sort each expression into the correct category.
64x3 - 216
Sum or Difference of Cubes
Not a Sum or Difference of Cubes
8x9 +27
x3 + 125
36x3 - 121
x6 - 16
Answer:
The answer to your question is given below.
Step-by-step explanation:
To which of the above expression is a sum or difference of cube, or not a sum or difference of cube, we shall do the following simplification:
Note: The Cube root of a particular number is simply a multiplication of an identical number in three places.
64x³ – 216
64 has a cube root of 4 and 216 has a cube root of 6. Therefore, the above expression can be written as:
4³x³ – 6³
(4x)³ – 6³
64x³ – 216 = (4x)³ – 6³
Therefore, 64x³ – 216 can be expressed as a difference of cube.
8x^9 + 27
8 has a cube root of 2, x^9 has a cube root of x³ and 27 has a
cube root of 3. Therefore, the above expression can be written as:
2³(x³)³ + 3³
(2x³)³ + 3³
8x^9 + 27 = (2x³)³ + 3³
8x^9 + 27 can be expreessed as a sum of cube
x³ + 125
125 has a cube root of 5. Therefore, the above expression can be written as:
x³ + 5³
x³ + 125 = x³ + 5³
x³ + 125 can be expressed as a sum of cube
36x³ + 121
36 and 121 has no cube root. Therefore, the above expression is not a sum or difference of cube.
x^6 – 16
x^6 has a cube root of x² and 16 has no cube root. Therefore, the above expression is not a sum or difference of cube.
Summary:
Sum or Difference of cubes
64x³ – 216
8x^9 + 27
x³ + 125
Not a Sum or Difference of cubes
36x³ + 121
x^6 – 16
Answer:
look at attached picture
Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? 90 degrees clockwise rotation 180 degrees rotation 90 degrees counterclockwise rotation 270 degrees clockwise rotation
Answer: 90 degrees clockwise rotation
Step-by-step explanation:
Common rotations about Origin :
90° clockwise (x,y)→(y,-x)
90° counterclockwise (x,y)→(-y,x)
180° (x,y)→ (-x,-y)
270° clockwise (x,y)→(-y,x)
Given: Julio’s rotation maps point K(–6, 9) to K’(9, 6).
Rotation corresponding to this is (x,y) → (y,-x) since K(–6, 9) → K’(9, -(-6)) = K(9,6).
Therefore, Julio’s rotates 90° clockwise to map point K(–6, 9) to K’(9, 6).
so , correct answer is "90 degrees clockwise rotation".
Answer:
90 degrees clockwise
Step-by-step explanation:
EDGE2020
Select the correct answer.
Which table shows a proportional relationship between x and y?
x y
1
5
2
6
3
7
x y
2
3
4
6
6
9
x y
4
16
8
64
12
144
x y
1
3
2
9
3
27
Answer:
I think
x y
2
3
4
6
6
9
Step-by-step explanation:
but i don't see any table
Instructions: Given the preimage reflect over the x-axis then they axis. Find
the new coordinates.
10
8
6
1012
А
-12 -10 8 6 4-2
-2
B
-4
D
-6
С
-12
The coordinates of the preimage are:
A(-8, -2)
B(-4, -3)
C(-2,-8)
D(-10, -6)
Now let's find the coordinates after the reflection over the x-axis.
A'(-8,
B' (-4,
C'(-2,
D' (-10,
Answer:
The coordinates are;
For reflection over the x-axis
A'(-8, 2)
B'(-4, 3)
C'(-2, 8)
D'(-10, 6)
For reflection over the y-axis;
A''(8, 2)
B''(4, 3)
C''(2, 8)
D''(10, 6)
Step-by-step explanation:
When a point (x, y) is reflected over the x, axis, we have;
Coordinates of the pre-image = (x, y)
Coordinates of the image after reflection = (x, -y)
Therefore, for the points A, B, C, D we have;
Pre-image A(-8, -2), Image A'(-8, 2)
Pre-image B(-4, -3), Image B'(-4, 3)
Pre-image C(-2, -8), Image C'(-2, 8)
Pre-image D(-10, -6), Image D'(-10, 6)
When a point (x, y) is reflected over the y, axis, we have;
Coordinates of the pre-image = (x, y)
Coordinates of the image after reflection = (-x, y)
Therefore, for the points A', B', C', D' we have;
Pre-image A'(-8, 2), Image A''(8, 2)
Pre-image B'(-4, 3), Image B''(4, 3)
Pre-image C'(-2, 8), Image C''(2, 8)
Pre-image D'(-10, 6), Image D''(10, 6).
A builder wrote the measurements needed for a door.
height of door
2032 mm
width or door
Why did the builder write these measurements using millimetres instead of cm or m?
Answer:
Check the answer below.
Step-by-step explanation:
This is a very trivial but professional question. Note that all of millimetre, centimetre and metres are acceptable metric units but the millimetre is more preferable by builders and architects because:
1. It is easier to work with integer values on building and architectural plans, an advantage given by measuring and recording in millimetre.
2. working in millimetre allows for precision. The builder will record values that are very close to the true value
3. The measurement will be easily readable by anybody that sees it.
A container has 250 liters of water in it. Some water evaporated and then the container had only 175 liters in it. What percentage of water evaporated?
Answer:
Hey there!
A total of 250-175, or 75 liters of water evaporated.
75/250=0.3, or 30%
30% of water evaporated.
Hope this helps :)
Hey there! I'm happy to help!
First, let's find out how much water evaporated. We have 175 left of the 250 after evaporation, so we need to subtract 175 from 250 to see how much water evaporated.
250-175=75
75 liters evaporated. Now, we want to find this as a percent out of 250. 75 is what percent of 250? Well, when talking about percents, the word "is" means "equals". So, we can turn this into an equation! We will use x to represent our percent as a decimal.
75= x·250
We simply divide both sides by 250 to isolate the x, giving us x=0.3
0.3 is 30% as a percent, so this means that 30% of the water evaporated.
I hope that this helps! Have a wonderful day!
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 2), (negative 1, 2). (–4, –7) (–4, 2) (2, –7) (2, 11)
Answer:
A ( -4, -7)
Step-by-step explanation:
if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )
Answer:
A.
Step-by-step explanation:
(1.7 x 103) x (2 x 103)
Answer:
Step-by-step explanation:
First off:
multiply 1.7x103 and you get 175.1 then you multiply 2x103 and you get 206.
multiply 175.1x206 and you get 36070.6
Final answer is 36070.6
Answer:
36070.6
Step-by-step explanation:
Which of the following is a polynomial?
O A. x2 + 2
OB.
(x - 2)
(x+2+3)
O c. 1-1
x
O D. 7x7 - 2x-4 + 3
Answer: B
Step-by-step explanation:
When B is simplified, it becomes x^2-3x-10. This is a polynomial because it has more than two terms(3).
Hope it helps <3
The solution is: the following is a polynomial, A. 4x^2+9x+12 & C. 15x^4
Option A and C are correct.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
Here, we have,
we know that,
A polynomial is defined as an algebraic expression that consists of variables and constants involving operations of addition, subtraction, multiplication and non-negative exponents.
A. 4x^2+9x+12 is a polynomial
B. 3-√2x is not a polynomial
C. 15x^4 is a polynomial
D. 6x^2+2/x is not a polynomial
So, Option A and C are correct.
Hence, The solution is: the following is a polynomial, A. 4x^2+9x+12 &
C. 15x^4 , Option A and C are correct.
Know more about Polynomials here:
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Three metal cubes with edges 6 cm, 8 cm and 12 cm respectively are melted down and made into a single cube. Find the length of one edge of the resulting cube.
Answer: 13.5
Step-by-step explanation:
Find the total volume of the melted cubes:
V₁ = 6³ V₂ = 8³ V₃ = 12³
= 216 = 512 = 1728
So the new cube will have a volume of 216 + 512 + 1728 = 2456
Volume of the cube = side³
2456 = s³
[tex]\sqrt[3]{2456} = s[/tex]
13.5 = s
please helllppppp........
8% lower means the gauge is showing 92% of the original pressure
( 100% - 8% = 92%)
Divide the pressure the gauge is showing by 92%
33.58 / 0.92 = 36.5
The actual pressure is 36.5
what is 1 add 1 please help!!!!!!!!!!!!!!!PS first person to get it correct gets brainiest
Answer: 2
Step-by-step explanation:
Answer:
2...........
Step-by-step explanation:
1 + 1 = 2............
What is the approximate angle between two position vectors if their terminal points are (5, -2) and (7, 3)?
Hi,
Answer:
[tex]Angle=\frac{pi}{4}[/tex] = π/4 = 45°
Have a good day.
Q7-8 PLEASE HELP ME
Answer:
(-4,-7)
Step-by-step explanation:
Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)
The shaded figure is a rhombus.
The area of the shaded section is 60 square units. What is the value of x?
Answer:
6
Step-by-step explanation:
the value of x is 6
so the answer is 6
Answer:
answer is 8
Step-by-step explanation:
what describes the transformation of g(x)=3(2)-x from the parent function f(x)=2x
Answer:
Reflect across the y-axis, stretch the graph vertically by a factor of 3
Step-by-step explanation:
The question has certain errors, in fact the functions are the following:
g (x) = 3 * (2) ^ - x
f (x) = 2 ^ x
The transformation that we can do to obtain the translated graph, Are given in 2 steps, which are the following:
1. When x is replaced by -x, then it reflects the graph on the y axis.
2. 3 multiplies with the function, it means that it stretches the main function vertically in 3 units.
So to summarize it would be: Reflect across the y-axis, stretch the graph vertically by a factor of 3
Someone please explain
Area of a triangle is 1/2 x base x height.
The graphed triangle has height of 2 and base of 2.
Area = /2 x 2 x 2 = 2 square units.
The triangle gets enlarged by a scale factor of 2, so the new height would be 2 x 2 = 4 and the new base would be 2 x 2 = 4
Area of enlarged triangle = 1/2 x 4 x 4 = 8 square units.
The answer is C) 8
Represent the expression
(4 x 1,000) + (3 x 100) + (6 x
1/100) + (7x1/1000)
as a decimal number.
Work Shown:
4*1000 = 4000 = 4 thousand
3*100 = 300 = 3 hundred
6 * (1/100) = 0.06 = 6 hundredths
7 * (1/1000) = 0.007 = 7 thousandths
add up the results
4000 + 300 + 0.06 + 0.007 = 4300.067
The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000)
Simplify the expression, then we have
⇒ 4,000 + 300 + 0.06 + 0.007
⇒ 4,300.067
The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.
More about the Algebra link is given below.
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Write the point-slope form of an equation of the line through the points (6, -1) and (5, -7).
A. Y- 6 = 6(x + 1)
B.y - 5 = 6(x + 7)
C.Y+7= 6(x + 5)
D.y +1 = 6:1-6)
Answer:
D.y + 1 = 6(x - 6)
Step-by-step explanation:
The general form of a straightline equation is given as
y = mx + c
where m is the slope and c is the intercept
m = Δy/Δx
from the given points
m = (-7 - -1)/(5 - 6)
= -6/-1
= 6
Considering the points x₁ and y which are 6 and -1
and using the formular
m = (y - y₁)/(x - x₁)
6 = (y - -1)/(x - 6)
y + 1 = 6(x - 6)
74 divided by 3 times 7 equals what?
Answer:
518 / 3.
Step-by-step explanation:
(74 / 3) * 7 = (74 * 7) / 3 = 518 / 3 = 172 and 2/3 = 172.6666666667.
Hope this helps!
