1). Option C
2). Option A
What is Polygon?Polygon is given as a closed two-dimensional figure with three or more straight lines.
The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)
After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).
By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only. Y- coordinates are same.
Therefore, polygon ABCDE has been reflected across the y-axis.
Option C. is the answer.
If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be
M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)
N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)
O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)
P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)
Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)
Thus, Option A. is the correct option.
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Answer:
Step-by-step explanation:
the
2
3
4
5
6
7
8
O They have the same slope.
O They have the same y-intercept.
9
10
TIME REMAINING
55:24
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations
O They intersect at one point.
O They intersect at two points.
Answer:
72
Step-by-step explanation:
yhsvybybyvyyvtvvyyvvt
Answer:
number 9 is the answer for this question
The perimeter of a rectangle is 34 cm. The length is 1 cm longer than the width. What is the length of the longest side of the rectangle?
Answer: 9 cm
Step-by-step explanation:
The formula for the perimeter of a rectangle is [tex]2l+2w=P[/tex]
Where
l is the length
w is the width
and P is the perimeter (34)
Because the length is 1 cm longer than the width instead of representing the length is l we can use w+1
Sub in the known values and solve
Step 1: Simplify both sides of the equation with the Distributive Property
[tex]2(w+1)+2w=34\\(2)(w)+(2)(1)+2w=34\\2w+2+2w=34\\(2w+2w)+(2)=34\\4w+2=34\\[/tex]
Step 2: Subtract 2 from both sides.
[tex]4w+2-2=34-2\\4w=32[/tex]
Step 3: Divide both sides by 4.
[tex]\frac{4w}{4}=\frac{32}{4} \\w=8[/tex]
Step 4: Add 1 to w to find the length of the longer side
[tex]w+1\\8+1\\9[/tex]
PLEASE HELP ASAP (timed)
Answer:
x = -19/7Step-by-step explanation:
-19 : 14 = x : 2
x = 19 * 2 : -14
x = 38 : -14
x = -19/7
Estimate the value of
0.581 -0.246
The value of expression is,
⇒ 0.335
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ 0.581 - 0.246
Now,
Since, The expression is,
⇒ 0.581 - 0.246
After subtraction we get;
⇒ 0.581 - 0.246
⇒ 0.335
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pls help
B (20,25) (12,9)
C (150,125) (96,64)
D ( 25, 150) (16,96) (9,54)
E (5,125) (4,64)
Answer:
Side Length and Perimeter of One Face
Step-by-step explanation:
See attached image.
Determine if the lines through each set of ordered pairs are parallel, perpendicular, or neither. Explain your answer. Ordered pairs: (8, 3) (-2, 5) and (-2, -5) (-1, -10)
Considering the slope of the lines, it is found that the lines going through the points are neither parallel nor perpendicular.
When are lines parallel, perpendicular or neither?The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:
If they are equal, the lines are parallel.If their multiplication is of -1, they are perpendicular.Otherwise, they are neither.In this problem, the slopes are given as follows:
m1 = (5 - 3)/(-2 - 8) = -2/10 = -1/5 = -0.2.m2 = (-10 - (-5))/(-1 -(-2)) = -5/1 = -5.The multiplication is of 1, not -1, hence they are neither parallel nor perpendicular.
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275 is divisible by ,2,3,4,5,6,8,9,10,11 yes or no
Answer:
Yes
Step-by-step explanation:
Answer:
2: no
3: no
4: no
5: yes
6: no
8: no
9: no
10: no
11: yes
Step-by-step explanation:
there are some simple divisibility rules that we can utilize here:
a number is divisible by __ if...
2: ends in [last digit] 0, 2, 4, 6, 8
so 275 is not divisible by 2
3: sum of digits is 3
2 + 7 + 5 = 14 [14 is not divisible by 3]
so 275 is not divisible by 3
4: last two digits are divisible by 4
75 is not divisible by 4
so 275 is not divisible by 4
5: last digit is 0 or 5
so 275 is divisible by 5
6: number is divisible by both 2 and 3
we know that 175 is not divisible by 2 or 3, so 275 is not divisble by 6
8: last three digits are divisible by 8
>> we also know that any number that 8 goes into, 4 also goes into [not always the other way around], meaning that because 175 is not divisible by 4, it must not be divisible by 8
so, 275 is not divisible by 8
9: sum of digits is divisible by 9
>> we also know that 9 only can go into numbers that 3 can go into, so because 175 is not divisible by 3, it must not be divisible by 9
so, 275 is not divisible by 9
10: last digit is 0
so, 275 is not divisible by 10
11 is a bit complicated:
sum of digit in odd places and sum of digit in even places has a difference is divisible by 11 [or is 0]
2 7 5
odd places: 2, 5 (2 + 5 = 7)
even places: 7 (7 = 7)
difference between 7 and 7 is 0 (7-7 = 0),
so, 275 is divisible by 11
hope this helps!! :)
3. Find the measure of angle TOS in the figure below.
∠ROQ and ∠TOS are vertically opposite angles, so must be equal, which means they are 122°
∠TOS = 122°If f = {(-1, 0), (-2, 2), (-3, 4), (-4, 6), (-5, 8)}, what is the range?
Answer:
{0, 2, 4, 6, 8 }
Step-by-step explanation:
the range is the y- coordinates of the ordered pairs , then
range { 0, 2, 4, 6, 8 }
the photography club has 36 memebers, 16 girls and 20 boys. what is the ratio of girls to boys in the photography club?
A. 5:6
B. 4:5
C. 5:4
Answer:
4:5
girls:boys
16:20
divide both by 4
4:5
Simplify 8 − (14). plsss help
Answer:
(-6)
Step-by-step explanation:
Integer subtraction:
If two numbers have different sign, subtract and the result will have the sign of the bigger number.
8 - 14 = (-6)
Subtract 8 from 14 and the bigger number is 14 and sign of 14 is (-).
So, the answer is (-6)
One of the solutions to x² - 2x - 15 = 0 is x = -3. What is the other solution?
O x=-5
O x=-1
O x = 1
O x = 5
Answer:
x= 5
Step-by-step explanation:
factorised the equation is (x-5) (x+3)
x=5 x=-3
a^½ха^2/3/a^3/5
I need help
P
Answer:
15 sqrt a ^4
Step-by-step explanation:
If 3/4 of ojo’s pocket money is €600.00; what is 1/8 of this pocket money?
Answer:
100
Step-by-step explanation:
explanation is shown in the picture
Let's set all the information into equations:
⇒ 3/4 of Ojo's money is €600.00 ⇒ [tex]\frac{3}{4} x = 600[/tex]
(Where x is the total amount of money)
Let's solve the equation:
⇒ to find the total amount of money that Ojo has:
[tex]\frac{3}{4}x=600\\ 3x=2400\\x=800[/tex]
⇒ total money is €800
Original question: what is 1/8 of this pocket money
[tex]\frac{1}{8} *800=100[/tex]
Answer: €100 is 1/8 of his pocket money
Hope that helps!
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When given
Slope=4
Point= (2,-4)
What is this written in slope-intercept form?
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{y = 4x - 12}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{Slope = 4, Point = (2, -4)}[/tex]
Find: [tex]\textsf{The equation in slope-intercept form}[/tex]
Solution: We need to plug in the values into point-slope form and after simplifying, distributing, and solving for y we will have our equation in slope-intercept form.
Plug in the values
[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-4) = 4(x - 2)}[/tex]Distribute and simplify
[tex]\textsf{y + 4 = 4(x - 2)}[/tex][tex]\textsf{y + 4 = (4 * x) + (4 * -2)}[/tex][tex]\textsf{y + 4 = 4x + (-8)}[/tex][tex]\textsf{y + 4 = 4x - 8}[/tex]Subtract 4 from both sides
[tex]\textsf{y + 4 - 4 = 4x - 8 - 4}[/tex][tex]\textsf{y = 4x - 8 - 4}[/tex][tex]\textsf{y = 4x - 12}[/tex]Using the information that was provided in the problem statement we were able to determine that the equation in slope-intercept form was y = 4x - 12.
Answer:
y = 4x - 12
Step-by-step explanation:
Given:
slope of 4, and point (2, -4)
Here, we're being asked to write the equation in Slope-Intercept Form. As we have been given the slope and a point on the line, we can use the Point-Slope Form to be able to find that equation.
First, know the two forms:
⇒ Point-Slope Form: y - y₁ = m(x - x₁)
where: m is the slope, and (x₁, y₁) is the given point
⇒ Slope-Intercept Form: y = mx + b
where: m is the slope, and b is the y-intercept
Now, substitute the given values into the Point-Slope Form:
⇒ y - y₁ = m(x - x₁)
⇒ y - (-4) = 4(x - 2) [simplify]
⇒ y + 4 = 4x - 8
Change to the Slope-Intercept Form:
⇒ y + 4 = 4x - 8 [subtract 4 from both sides]
⇒ y + 4 - 4 = 4x - 8 - 4
⇒ y = 4x - 12
Therefore, the equation of the line in slope-intercept form is: y = 4x - 12
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6x9(7-3)4+3x36+3
what is the answer
The given expression can be simplified as [tex]96x^{9}+3x^{36} +3[/tex].
The given expression is [tex]6x^{9} (7-3).4+3x^{36} +3[/tex].
We need to simplify the given expression.
What is an algebraic expression?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
First, multiply the numbers 6×4=24.
That is, [tex]24x^{9} (7-3)+3x^{36} +3[/tex].
Next, subtract the numbers 7-3=4.
[tex]24x^{9}.4+3x^{36} +3[/tex]
Finally, multiply the numbers 24×4=96.
[tex]96x^{9}+3x^{36} +3[/tex].
Hence, the given expression can be simplified as [tex]96x^{9}+3x^{36} +3[/tex].
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Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.
The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line m = 4
The slope of the line which is perpendicular to the above line:
M = -1/4 = -0.25
The graph second has a slope of -0.25
[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]
y - 2 = -0.25x - 1
y = -0.25x + 1
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
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Which foundation drawing matches this orthographic drawing?
The figure second represents the foundation drawing of a provided front, right, and top view option second is correct.
What is orthographic drawing?Three-dimensional objects can be represented in two dimensions via an orthographic projection.
As we have given orthographic drawings.
The front, right, and the top view is shown in the picture of the cuboid if merge all the view we will find the three-dimensional figure is a cuboid.
We can represent the cuboid by 2×3 grids as shown in the picture second.
Thus, the figure second represents the foundation drawing of a provided front, right, and top view option second is correct.
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Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
How to depict the information?Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
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Answer:
5p, 5p, 10p, 10p, 20p
Step-by-step explanation:
5p, 5p, 10p, 10p, 20p,
Step 3: Now multiply the values to get 14,918,904,000. That is almost
15 billion passwords.
That is a lot of passwords! How many passwords would the website
have if users were allowed to reuse the letters and numbers? (Enter
the number of successful outcomes in each of the blanks below.
2
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
How to determine the number of passwordsThe given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords is 30891577600
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Does the chart below represent a proportional relationship? What is the rate of change?
x y
1 4
2 8
3 12
4 16
This chart represents a proportional relationship. The rate of change will be 4.
What is the constant of proportionality?Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
Given;
x y
1 4
2 8
3 12
4 16
Here, x = ky
put the first value
k = 1/4
This chart represents a proportional relationship.
So the rate of change will be
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\\\\Rate = \dfrac{8 - 4}{2 - 1}\\\\Rate = 4[/tex]
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Please help!!!!!!!!!!!asap
By solving y = 25 · x² - 100 through the square root method, we conclude that the two roots of the quadratic formula are y₁ = + 2 and y₂ = - 2.
How to obtain the roots of a second order polynomial
Herein we have a polynomials of the form y = a · x² - b. By algebra we find that two roots exists, which are described below according to the square root method:
[tex]y_{1} = +\sqrt{\frac{b}{a} }[/tex], [tex]y_{2} = -\sqrt{\frac{b}{a} }[/tex]
If we know that a = 25 and b = 100, then the two roots of the equation are:
y₁ = + 2, y₂ = - 2
By solving y = 25 · x² - 100 through the square root method, we conclude that the two roots of the quadratic formula are y₁ = + 2 and y₂ = - 2.
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If price of 12 eggs is Rs. 192, how many eggs can be bought for Rs. 160?
Answer:
10
Step-by-step explanation:
First, divide 192 by 12, you get a unit rate of Rs. 16 per egg, then divide Rs. 160 by 16 and you get 10
The number of eggs that can be purchased at Rs. 160 is 10.
What is a division operator?The division operator ( / ) has the quotient of its operands where the left operand exists the dividend and the right operand exists the divisor.
The cost of 12 eggs = Rs. 192
The cost of 1 egg = 192/12 = Rs. 16.
The number of eggs that can be purchased is Rs. 160 = 160/16 = 10.
Therefore, the number of eggs that can be purchased at Rs. 160 is 10.
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What is the vertex of the function f(x)=|x-9|+2
Answer:
vertex = (9, 2 )
Step-by-step explanation:
given the absolute value function
f(x) = a |x - h | + k
with vertex = (h, k )
then
f(x) = | x - 9 | + 2
has vertex = (9, 2 )
Which expression can be used to find the area of the
composite figure?
O 4x
O 2x + 2x²
Ox2 + 2x
O 3x²
Answer:
3x²
Step-by-step explanation:
1 triangle is 1/2x²
2 triangles are x²
rectangle below is 2 squares
rectangle below is 2x²
x² + 2x² = 3x²
another equation for y = 8x + 7
Find the value
of each variable.
Answer:
y=37 degrees(vertical angles)
x=180-37(linear pair)=143 degrees
z=143 degrees(vertical angles)
Hope it helps!
Answer:
x = 180° - 37° = 143°
y = 37°
z = 180° - 37° = 143°
3,-1, √5, 13, -11 arrange in ascending order
Answer:
The answer will be
= -11, -1, √5, 3, 13
Please mark me as the brainliest.
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form
Answer:
y = 3/4x + 2
Step-by-step explanation:
let me know if you want an explanation :))
I need help asp. Identifying Geometric Figures.
Answer:
The angle created by OX and OZ is angle XOZ
The two rays that create YOX are ray OX and ray OY
The center of the circle is point O
Step-by-step explanation:
The image attached below shows a circle with a center at point O at which several rays meet to form the following angles, namely:
ray OX and ray OZ meet at center O to form angle XOZ.
ray OX and ray OY meet at the center O to form angel YOX.
Therefore:
The angle created by rays OX and OZ is <XOZ
The two rays that created <YOX are: OX and OY
The center of the circle is point O.
I hope this is helpful.