Answer: -7
Step-by-step explanation:
-3 (5/6) + 2 (5/6) - 7 + (5/6)
The bus fare for 8 passesngers is Rs. 384, how many more passengers can travel in the bus if the bus fare amounts to Rs. 576?
Answer:
12 passengers so four more can travel in the bus.
Step-by-step explanation:
384/8= rs 48 per person.
amount= 576
576/48 = 12 passengers.
Step-by-step explanation:
here
8 passengers=Rs. 384
1 passenger= Rs. 384/8
=Rs. 48
Rs. 576= ? passengers
now,
Rs. 576/ 48
= 12passengers
12 passengers - 8 passengers
= 4 passengers
therefore, 4 more passengers can travel in the bus fare amount to Rs. 576.
who else is on the verg of a MENTAL BREAKDOWN because they want highschool to end
just me ok
Answer: I guess High School is as bad as my big sister says it is.
Step-by-step explanation:
I'm in 8th grade, I'm going to highschool this yearrrr! Poor me...
6
AXYZ will be translated so that the coordinates of X' are (5,11).
y
Y
14
13
12
X
11
10
9
8
N
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
What will be the coordinates of Z' ?
(5,8)
B (6,7)
© (7,6)
D (8,5)
Answer:
Isometry: An isometry is a transformation that maintains congruency. This means that the transformation does not change the figure's size or shape.
Make sure your child is familiar with the Cartesian coordinate system including the horizontal x-axis, the vertical y-axis, and the (x,y) convention used for locating points.
If you have not already done so, you may wish to review this congruency lesson with your child.
Translations
This section will help your child to translate congruent figures on a Cartesian plane. It will also introduce translation vectors which show the distance and direction of the translation.
Translations
Figure J is the pre-image. Figure S is translated.
A figure is a translation if it is moved without rotation.
Translation Vector
A Translation Vector is a vector that gives the length and direction of a particular translation. Vectors in the Cartesian plane can be written (x,y) which means a translation of x units horizontally and y units vertically.
figure being translated
Vectors translations can be written as shown in either of these two ways:
format example for writing vectors
This vector can be said to be ray AB or vector D.
You translate a figure according to the numbers indicated by the vector. So if one point on a figure has coordinates of (-3,3) and the translation vector is (-1,3), the new coordinate is (-4,6). You add or subtract according to the signs in the numbers in the vector.
Work through the two examples below with your child to see how to apply translation vectors.
square translated on cartesian grid
The red square's coordinates are:
(-4,3); (-4,8); (-9,3); (-9,8).
What are the coordinate pairs under a translation vector of (1,-1) as shown by the blue square?
The new coordinates are:
(-3,2); (-3,7); (-8,2); (-8,7).
You can see that the translation did not move the figure far because the vector translation is small.
square translated on cartesian grid
We will try a different vector translation of (3,-9) on the same red square
The new coordinates are:
(-1,-6); (-1,-1); (-6,-6); (-6,-1).
Get you child to try the next example. Do not look at the answer until he or she has tried to work it through the task.
single triangle on cartesian grid
Task: Translate ΔABC with a vector translation of (6,-2)
Steps:
Find the coordinates of Δ ABC.
Add 6 to the X coordinates and subtract 2 (or add -2) from the Y coordinates.
Plot the new coordinates on the grid.
Answer and Explanation
Coordinates of ΔABC are:
(-5,1); (-2.5,7); (0,1)
Add 6 and subtract 2
A1 = (-5 + 6, 1 - 2) = (1,-1)
B1 = (-2.5 + 6, 7 - 2) = (3.5,5)
C1 = (0 + 6, 1 - 2) = (6,-1)
Plot ΔA1B1C1
Rotations
This section will show your child how to rotate a figure about the origin on a Cartesian plane. Work through the two examples below:
Note: Make sure your child knows that the origin is the intersection of the X and Y axes; (0,0) on the Cartesian plane.
Rotation Transformation: Example 1
Look at the four triangles on the Cartesian plane below. Each one is rotated about the origin as shown in the table.
Triangle B Triangle C Triangle D
90° rotation of Triangle A about the origin 90° rotation of Triangle B about the origin 90° rotation of Triangle C about the origin
180° rotation of Triangle A about the origin 180° rotation of Triangle B about the origin
270° rotation of Triangle A about the origin
The coordinates are:
Triangle A (-2,2) (-10,2) (-6,8)
Triangle B (2,2) (2,10) (8,6)
Triangle C (2,-2) (10,-2) (6,-8)
Triangle D (-2,-2) (-2,-10) (-8,-6)
Note the pattern in the coordinates for corresponding vertices on the triangles.
Rotation Transformation: Example 2
The coordinates of Pentagon ABCDE are:
(0,4); (7,4); (9,2); (7,0); (0,0)
Pentagon ABCDE is rotated 180° about
the origin making the coordinates of
Pentagon A1B1C1D1E1:
(0,-4); (-7,-4); (-9,-2); (-7,0); (0,0)
Note how the coordinates of
corresponding vertices are opposite
integers (just the +/- sign is different).
This is always the case with 180°
rotations about the origin.
Reflections
This section will help your child to reflect a figure over an axis on a Cartesian plane
Work through the two reflection examples below.
Reflection Transformation: Example 1
The coordinates of LMNO are:
(-7,5); (0,5); (-2,1); (-5,1)
LMNO is reflected over the X-axis
making the coordinates of
L1M1N1O1:
(-7,-5); (0,-5); (-2,-1); (-5,-1)
Note how the x-coordinates remain the
same but the y-coordinates change to
their opposite integer (i.e. the sign changes).
This is always the case with reflections over the X-axis.
Step-by-step explanation:
The solution is, the coordinates of Z' will be z' = (6,7),
i.e. option B is correct.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Given that,
X' are (5,11).
now, See attachment
Required that,
The image of Z i.e. z'
From the attachment:
X =(7,11)
This implies that:
X' = ( x- 2, y)
Using the same rule for z;
z=(8,7)
z' = (8-2, 7)
z' = (6,7)
Hence, The solution is, the coordinates of Z' will be z' = (6,7),
i.e. option B is correct.
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Is this non linear or linear?
Answer:
Non-linear
Step-by-step explanation:
If we were to graph this table, the points will form a curve.
This is most likely a exponential function, not a linear function.
A linear function would form a straight line on a graph.
Hope this helps!
What is the center of dilation?
Answer:
Original coordinates of F is (2,1)
Step-by-step explanation:
when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be ( 1, 1/2)
Are of triangle
PLSS HELP!!
Find the output when the input is -2: y = -3x -5
In the isosceles triangle ABC
AB=AC
angle B -- (3x 32)º
angle (872x)"
Work out the value
of x.
Answer:
x = 4.5
Step-by-step explanation:
Angle B = angle C because it is an isosceles triangle.
3x32 = 87-2x
96 = 87-2x
reduce:
9 = 2x
x = 4.5
1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
The table in the figure at the right is 34 in. across. The shaded regions are made of mahogany. What is the area of thee mahogany? Round your answer to the nearest tenth.
Answer:
408.7 in^2
Step-by-step explanation:
If you want to know how to find the area of a regular octagon by hand, the easiest procedure is to apply the standard formula for the area of a regular polygon. The formula is the following:
area of regular polygon = perimeter * apothem / 2,
where the apothem is the distance for the center of the polygon to the mid-point of a side. The perimeter can be calculated a few ways: by summing up the length of each side, multiplying the length of one side by the number of sides.
What is the value of x in the equation
Answer:
5
Step-by-step explanation:
Answer:
5+3/10 = 4/5 X=5
Step-by-step explanation:
8/10 DIVIDED BY 2 = 4/5
Can someone help me?
The height of a triangle is 6 cm and area of the triangle is 24 cm^2. What is the length of the base of the triangle
Answer:
4cm
Step-by-step explanation:
24/6=4cm
Which of the following expressions represents "subtract 17 from x
Answer:
x-17
Step-by-step explanation:
Answer:
x-17
I might be incappable
PLEASE HURRY!!!
An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?
Everybody is saying its c but it says its wrong on edge 2021
Answer:
C
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
what are the numbers in pi
Answer:
I do not know the full numbers, but in most math problems teachers will have you use the first 3 (3.14)
Step-by-step explanation:
The first 100 digits of pi are: 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.
the ones i can remember from the top of my head is 3.14159265 and the full is 3.14159265359
PLEASE HELP ME! 50 POINTS! I WILL GIVE BRAINLIEST! Decide whether the table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?
Bettie's Boutique is having a 20% off sale.
|original price| sale price|
—————————————
|$15. | $12. |
—————————————
|$25. |$20. |
—————————————
|$35. |$28. |
————————————-
Answer:
15 and 12 makes a pattern of -3
25 and 20 makes a pattern of -5
35 and 28 makes a pattern of -7
Step-by-step explanation:
5 x 3=15
5 x 5=25
5 x 7=35
Answer:14
Step-by-step explanation:
how many solutions does 2x+6=7x5 have
Answer:
14.5
Step-by-step explanation:
2x=7*5-6 will be 14.5
Answer:
One solution.
Step-by-step explanation:
Since the right side of the equation is a constant, there can only be one solution:
[tex]2x+6=7*5[/tex]
[tex]2x+6=35[/tex]
[tex]2x=35-6[/tex]
[tex]2x=29[/tex]
[tex]x=14.5[/tex]
14.5 is the only answer.
how many one-digit integers are there
Raymond is building a new dog run with a raised border in his backyard. The boards on the two shorter sides are 6 feet thick, and the boards on the two longer sides are 4 feet thick. Raymond wants the outer length of the dog run to be 4 times its height and the outer width to be 2 times its height. He also wants the boards to rise 4 feet above the level of the grass in the dog run.
Answer:
30
Step-by-step explanation:
if n is an integer, what is the sum of the next three consecutive even integers greater than 2n? a. 6n + 12 b. 6n + 10 c. 6n + 4 d. 6n + 8
Answer:
a) 6n + 12
Step-by-step explanation:
Next three consecutive integers are : 2n + 2 , 2n + 4 , 2n + 6
2n + 2 + 2n +4 +2n +6 = 2n+ 2n + 2n + 2 + 4 + 6
= 6n + 12
what multiplier can be used to find the value after an amount has decreased in value by 8% for 4 years
Answer:
(1 - 0.08)^4
Step-by-step explanation:
please answer correctly and quickly all question please please please
How many years will it take for $3,000 to double at a simple interest rate of 2%?
A. 2 years
B. 5 years
C. 10 years
D. 50 years
Answer:
3000=3000*0.02t
3000/60=t
t=50 yrs
Step-by-step explanation:
Write the coordinates of the vertices after a translation 12 units down.
Answer:
I don't know.
Step-by-step explanation:
I don't know.
Please help me quickly
Answer:
The tv is 35 inches tall
Step-by-step explanation:
Plug the numbers into the Pythagorean Theorem
The 37 is the hypotenuse because it's the diagonal length and it should be the longest
I need help me this somebody help!
Answer:
M1=136
m4=180-136
=44////
(6,2)-(4,5)-(9,4) dilated by a scale factor of 3
Answer:
1 . 6 , 2 is 18 ,6
2.4,5 is 12 ,15
3. 9,4 is 27,12
but is ans is wrong
solve for X, angle D, angle A, angle B
Answer:
3x+20+(3x-20)=180(linear pair)
or,3x+20+3x-20=180
or6x=180
orx=180÷6
x=30
D=3x+20
=3×30+20
=90+20
=110
A=3x-20
=3×30-20
=90-20
=70
B=x+20
=30+20
=50
Write an algebraic expression for 4 more than 3 times a number
Answer:
3x+4
Step-by-step explanation:
The algebraic expression will be : 3x + 4
What is an algebraic expression ?
An expression built up from integer constants , variables and algebraic operations .
Let the number be : x
now , in the algebraic expression for 4 more then 3 times a number
First we need to make the number 3 time = 3x
then in that expression we need to add 4 , we get = 3x+ 4
The algebraic expression will be : 3x + 4
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