Answer:
A' = ( 0,4 )
B' = ( -3,6 )
C' = ( -4,3 )
Step-by-step explanation:
Transformation involves changing the coordinates of a shape.
The coordinates of △ABC after the glide transformation are [tex]A' = ( 0,4 )[/tex], [tex]B' = ( -3,6 )[/tex] and [tex]C' = ( -4,3 )[/tex]
The coordinates of triangle ABC is given as:
[tex]A = (1,3)[/tex]
[tex]B = (4,5)[/tex]
[tex]C = (5,2)[/tex]
The glide reflection is given as: T⟨−1, 1⟩° Ry-axis
So, we start by translating the shape by (x - 1, y + 1).
The coordinate ABC becomes
[tex]A = (1 - 1, 3 + 1) = (0,4)[/tex]
[tex]B = (4 - 1, 5 + 1) = (3,6)[/tex]
[tex]C = (5 - 1, 2 + 1) = (4,3)[/tex]
Next, we reflect the coordinates across the y-axis.
The rule of this reflection is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A' = ( 0,4 )[/tex]
[tex]B' = ( -3,6 )[/tex]
[tex]C' = ( -4,3 )[/tex]
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How do the terms light, radiation, and waves relate to one another?
Example:
Brigette is putting a border around a scrapbook cover.
The cover is 12 inches tall and 14.5 inches wide. How
much border does Brigette need?
Answer:
Step-by-step explanation:
Brigitte is putting a border, so she needs a perimeter
P=2(L+W)=2L+2W= 2*12+2*14.5=24+29=53
HAAALLLLPPPP plz
The production cost to make 10 shirts is modeled by the expression Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. where y represents the number of meters of fabric needed to make the shirts. Which expression represents the production cost for one shirt?
Answer:
the second one, B
Step-by-step explanation:
This is because in both numbers the decimal was moved back one.
0.18y+55 is the represents the production cost for one shirt.
What is Expression?Expression is a combination of numbers, variables and operators.
Given that production cost to make 10 shirts is modeled by the expression 1.8y+55.
The variable y represents the number of meters of fabric needed to make the shirts.
We need to find the expression represents the production cost for one shirt.
As there are 10 shirts so divide 1.8 with 10
we get 0.18.
And the value remains constant as it is a constant which does not change.
Hence, 0.18y+55 is the expression represents the production cost for one shirt.
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Genie worst five hours on Tuesday three hours on Wednesday 4.5 hours on Thursday if H represents her hourly pay rate which expression below shows the amount she earned
Answer:
12.5H
Step-by-step explanation:
Number of hours worked per day:
Tuesday = 3 hours
Wednesday =5 hours
Thursday = 4.5 hours
H = hourly pay rate
Total amount earned = 3 hours × H + 5 hours × H + 4.5 hours × H
= 3H + 5H + 4.5H
= 12.5H
The expression which shows the total amount she earned = 12.5H
The distance between Dallas, TX and Houston, TX is 384 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two cities?
Plz I need help on this what is the unit cost in this question?
THE UNIT IS DOLLAR ($).
Step-by-step explanation:
BECAUSE IT IS GIVEN IN TOTAL COST
Which postulate make the triangle congruent.?? help please
Katharine has a bag containing 20 dried beans. Eight of the beans are painted blue. If Katharine selects a bean from the bag at random, what is the probability that she will draw a bean that is NOT blue? Al out of 3 B 2 out of 5 C 3 out of 5 D 2 out of 3
Given:
Total number of beans = 20
Number of blue of beans = 8
One bean is selected from the bag at random.
To find:
The probability that she will draw a bean that is NOT blue.
Solution:
We have,
Total number of beans = 20
Number of blue of beans = 8
Number of non-blue beans = 20 - 8
= 12
Now, the probability that she will draw a bean that is NOT blue is
[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]
Therefore, the correct option is C.
When plotting points on the coordinate plane below, which point would lie on the x-axis?
Answer:
If you plot the points you can easily find the answer. (X,Y) The x-axis is the horizontal line and the y-axis is the vertical line.
Step-by-step explanation:
Mark me as brainlist
PLS HELP!!!!!what is the equation
Answer:
y= -x
Step-by-step explanation:
y= -x
Ms. Lim asked her class to find an expression equivalent to 7 - 3 (4 - 2x) - 10x .
whats wrong with these problems? please include your work.
Answer:
Solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]
Step-by-step explanation:
Jon solved:
7-3(4-2x)-10x
4(4-2x)-10x
16-8x-10x
16-18x
Error in John Work
The error in John work is that he subtracted 7-3 first, which is wrong. According to the rule, first brackets are solved, then multiplication or division and then addition or subtraction is performed.
Madison Solved:
7-3(4-2x)-10x
7-3(2x)-10x
7-6x-10x
7-16x
Error in Madison Work
The error in Madison work is that she subtracted (4-2x) and get 2x which is wrong. Only like terms are added or subtracted. 4 and -2x are not like terms so, we can't subtract them
Selina Solved:
7-3(4-2x)-10x
7-12-2x-10x
-7-12x
Error in Selina Work
The error in Selina work is that she wrongly multiplied -3 with -2x
-3(-2x) we get 6x but Selina found it to be -2x which is wrong.
My solution:
Now, we will solve the equation correctly
[tex]7-3(4-2x)-10x[/tex]
First, multiply -3 with terms inside the bracket
[tex]7-12+6x-10x[/tex]
Now, combine like terms
[tex]7-12+6x-10x\\-5-4x[/tex]
or we can write -4x-5
So, solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]
What is the value of the expression?
3
131
3
152
if y=4x+5 what is the slope of the line
Answer:
4
Step-by-step explanation:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
In this case, check what number replaces the variable for slope, m:
y = mx + b
y = 4x + 5
In this case:
y = y
m = 4
x = x
b = 5
Therefore, 4 is your answer.
~
Hii!
___________________________________________________________
Answer:
Below is all the information you need! ^^
Step-by-step explanation:
Note that the equation that is given to us is in slope intercept form.
The slope intercept formula is y=mx+c, in which.
m=slope
c=y intercept
In the equation y=mx+c, the slope is m.
Similarly, in the equation y=4x+5, the slope is 4.
--
Hope that this helped! Best wishes.
--
you answered 6 out of 11 questions on your test. what is your score?
Answer:
54
Step-by-step explanation:
.......................
Answer:
54
Step-by-step explanation:
Solve it please!
-2f - 7(-8f + 3)
Answer:
3(18f−7) (factored)
54f−21 (simplified)
hope this helped :D
Help Please ! =(
Find the measures of the interior angles of the triangle.
There are 13 girls on Janelle's soccer team. Uniforms cost $32 each. Which equation uses estimation correctly to show about how much money the team spent?
Answer:
$416
Step-by-step explanation:
From the above question,
Total number did people in a team = 13 girls
Uniform of each member of team = $32
The amount of money the team spent can be calculated as:
$32 × x
Where x = Number of people on the team = 13
The amount spent = $32 × 13
= $416
The amount the team spent is $416
Three roads intersect to form a large triangular area as shown below.
-5 miles
300
What is the length, to the nearest tenth of a mile, of side x of the triangle?
O A. 2.5 miles
O B. 2.9 miles
O C. 4.0 miles
O D. 4.3 miles
Answer:
b i think
Step-by-step explanation:
Amelie and her friends pick 27 pounds of blueberries. Each pound of blueberries contains 195 blueberries. How many blueberries did Amelie and her friends pick?
Answer:
5,265 blueberries
Step-by-step explanation:
195 blueberries 1 pound
----------------------- x --------------
? 27 pounds
cancel the 1 pound
cross multiply the 195 and 27
Answer:
hi soo i just did this got it right and the correct answer is 5265.
Step-by-step explanation:
ik it might not help now but still work right? hehe
Please help hawjwjrjshfhsjsjsjakskdkskdkdid
9514 1404 393
Answer:
3 1/4
Step-by-step explanation:
[tex]\dfrac{3}{4}+\left(\dfrac{1}{3}\div\dfrac{1}{6}\right)-\left(-\dfrac{1}{2}\right)\\\\=\dfrac{3}{4}+\left(\dfrac{2}{6}\div\dfrac{1}{6}\right)+\dfrac{1}{2}\\\\=\dfrac{3}{4}+\dfrac{2}{1}+\dfrac{2}{4}\\\\=2+\dfrac{5}{4}=2+1\dfrac{1}{4}\\\\=\boxed{3\dfrac{1}{4}}[/tex]
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2-5i
-2 + 10i
-2 - 10i
Answer:
B, C, E, F
1, -4, 2+5i, 2-5i
Step-by-step explanation:
The roots of the function g(x) are -4 and 1.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the roots of the given function, we need to find the values of x that make the function equal to zero.
This can be done by factoring the function and setting each factor equal to zero.
g(x) = (x² + 3x - 4) (x² - 4x + 29)
Setting each factor equal to zero.
x² + 3x - 4 = 0
(x + 4)(x - 1) = 0
x² - 4x + 29 = 0
This quadratic has no real roots since its discriminant is negative.
The roots of g(x) are the values of x that satisfy either of these equations, which are:
x = -4 or x = 1
Thus,
The roots of the function g(x) are -4 and 1.
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record the letters in your triangle from left to right example ABCDEFGHI
Answer:
ABYARCIST
Step-by-step explanation: like that hope i did it right
Triangle is a polygon with 3 sides. The record of the letters in your triangle from left to right is EGFBIHDCA.
What is a triangle?A triangle is a polygon with 3 sides. Also, It has three vertices.
As the example is given to us, ABCDEFGHI is the record of the letters that are when seen from top to bottom, therefore, if we rotate the triangle such that the left side of the triangle is on the upper side, then the triangle we will get is given below.
Thus, the record of the letters in your triangle from left to right is EGFBIHDCA.
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Can someone solve the joke please?
Why did the new boy steal a chair from the classroom?
Answer:
Because the teacher told him to take a seat.
Answer:
Lol. Because the teacher told him to take a seat.
A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?
Answer:
Dimension = 6 feet × 3 feet
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 6 feet
Distance around the fence (Perimeter) = 18 feet
Dimension of the fence =?
Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:
Length (L) = 6 feet
Perimeter (P) = 18 feet
Breadth (B) =?
Perimeter of rectangle is given by:
P = 2(L + B)
18 = 2 (6 + B)
Clear the bracket
18 = 12 + 2B
Collect like terms
18 – 12 = 2B
6 = 2B
Divide both side by 2
B = 6/2
B = 3
Thus, the breadth of the rectangular fence is 3 feet
Dimension of the rectangular fence is given by:
Dimension = length × Breadth
Length (L) = 6 feet
Breadth (B) = 3 feet
Dimension = 6 feet × 3 feet
Which of these best describes the location of (9,0) on a coordinate grid? Question 12 options: In Quadrant I In Quadrant II On the x-axis On the y-axis
Help quick!
Step-by-step explanation:
Quadrant I: Both values are positive.
Quadrant II: x-value is -ve, y-value is +ve.
On the x-axis: y-value is 0.
On the y-axis: x-value is 0.
The point (9, 0) has a y-value of 0.
=> It lies on the x-axis.
Simplify (2/3)^3 (1/5 *2/3)^-3 (1/5)^4
Answer:
1/5
Step-by-step explanation:
im pretty sure thats it! and have a great day!
Answer:1/5 or 0.2
by-step explanation:
Solve. What is the 15% of 15?
Answer:
2.25
Step-by-step explanation:
Step-by-step explanation:
It is 2.25
HElp PLZ DUE RIGHT KNaw
Answer:
variables :)
Step-by-step explanation:
Answer:
[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]
The surface areas of two cubes have a ratio of 49to 81. What is the ratio of the edge lengths of the two cubes
Answer:it is 3 to 4
Step-by-step explanation:
This is correct
The ratio of the edge lengths of the two cubes is 7 : 9.
What is surface area of cube?The surface area of the cube can be defined as the total area covered by all six faces of the cube.
Given
The surface areas of two cubes have a ratio of 49 to 81.
Formula of surface area of cube = 6[tex]a^{2}[/tex]
Surface area of cube 1 = [tex]6a^{2} _{1}[/tex]
Surface area of cube 1 = [tex]6a^{2} _{2}[/tex]
Surface areas of two cubes have a ratio of 49 to 81.
[tex]\frac{6a^{2} _{1} }{6a^{2} _{2}}=\frac{49}{81}[/tex]
⇒ [tex]\frac{a^{2} _{1} }{a^{2} _{2}}=\frac{49}{81}[/tex]
⇒ [tex](\frac{a_{1} }{a_{2} } )^{2} =\frac{49}{81}[/tex]
⇒ [tex]\frac{a_{1} }{a_{2} } =\sqrt{\frac{49}{81} }[/tex]
⇒ [tex]\frac{a_{1} }{a_{2} } =\frac{7}{9} }[/tex]
⇒ [tex]a_{1}:a_{2} = 7:9[/tex]
Hence, the ratio of the edge lengths of the two cubes is 7 : 9.
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I need help please!
Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0