find the coordinates of the vertices of the triangle after a reflection across the line y= 3 and then across the line x = -1
Answers
Answer: A
Step-by-step explanation:
Reflection across y = 3
The simplest way to calculate the new coordinates is to draw y = 3, count how many units away the point is from y = 3, then count the same number of units from y = 3 in the OPPOSITE direction to find the reflection. (see attachment - blue color)
U = (-5, 4) is 1 unit above y = 3
U' = (-5, 2) is 1 unit below y = 3
T = (0, 5) is is 2 units above y = 3
T' = (0, 1) is 2 units below y = 3
S = (-4, 2) is 1 unit below y = 3
S' = (-4, 4) is 1 unit above y = 3
Reflection across x = -1
The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment - red color)
U' = (-5, 2) is 4 units to the left of x = -1
U'' = (3, 2) is 4 units to the right of x = -1
T' = (0, 1) is 1 unit to the right of x = -1
T'' = (-2, 1) is 1 unit to the left of x = -1
S' = (-4, 4) is 3 units to the left of x = -1
S'' = (2, 4) is 3 units to the right of x = -1
Related Questions
What is the answer ?????????????????
Answers
Answer:
The answer is :
[tex] \cos(51) = 0.63[/tex]
[tex] \sin(63) = 0.89[/tex]
[tex] \tan(12) = 0.21[/tex]
Can someone help me with these
Answers
Answer:
Problem 2) : the gradient is "-2", and the y-intercept is "3"
Problem 3)
A is [tex]y=2x+2[/tex]
B is [tex]y=x+2[/tex]
Step-by-step explanation:
Problem 2)
In the line given by the equation: [tex]y=-2x+3[/tex]
the "gradient" (also known as "slope") is the numerical coefficient that multiplies the variable "x". So in this case the gradient is "-2"
the y-intercept is the numerical term "+3" because that is the y-value result of evaluating the expression for x = 0
[tex]y=-2x+3\\y=-2\,(0)+3\\y=3[/tex]
Problem 3)
Consider the two lines :
[tex]y=x+2[/tex] and [tex]y=2x+2[/tex]
notice that both have the same y-intercept (that is the numerical term "2" at the end of both expressions. That means that both lines cross the y-axis at the point y=2.
Now notice that the gradient of one of them is "1" (for [tex]y=x+2[/tex] ) that is the coefficient that multiplies the variable "x". While for the other line ( [tex]y=2x+2[/tex]) the gradient is "2" and therefore steeper than the previous one.
Then, the line identified as "A" which is the one with steeper gradient, corresponds to the equation [tex]y=2x+2[/tex], and the line identified with "B" is the one with smaller gradient [tex]y=x+2[/tex] .
Solve the equation. 5 = –z – 3
Answers
Answer:
-8
Step-by-step explanation:
Answer:
Let's do this step by step
Step-by-step explanation:
I hope this helps
Given that ∠ABC ≅ ∠DBE, which statement must be true?
∠ABC ≅ ∠ABD
∠ABD ≅ ∠CBE
∠CBD ≅ ∠DBE
∠CBD ≅ ∠ABC
Answers
Answer:
∠ABD ≅ ∠CBE
Step-by-step explanation:
So we know that ∠ABC ≅ ∠DBE. Those angles equal the same thing. Let's represent that with x.
So does ABD = CBE?
Well we can model that with our xs.
ABD = ABC + CBD
so ABD = x + CBD
CBE = DBE + CBD
so CBE = x + CBD
Look at what we have!
x + CBD = x + CBD.
You can tell that ∠ABD ≅ ∠CBE because those given angles are equal to each other.
Or for an easier (but lazier) method, you can just look at the diagram, which is actually drawn to a reasonable scale. You can tell right off the bat that none of the other options work.
Write a rule for the linear function in the graph
(0, 1) , (5, 3)
Answers
Answer: x = 5, y = 2
Step-by-step explanation
x = 0, x = 5
5 - 0 = 5
y = 1, y = 3
3 - 1 = 2
The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven
in fact, there is more than one way to arrange the numbers in such a way in the circle. Determine all different arrangments. Note that we will consider two arrangments to be the same if one can be obtained from the other by a series of reflections and rotations
Answers
Answer:
[tex]\fbox{\begin{minipage}{4em}36 ways\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Re-state the problem in an easier way to set up a permutation problem
"The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven"
The series above can be represented again, in form of:
7a + 1, 7b - 1, 7c + 1, 7d - 1, 7e + 1, 7f - 1
with a, b, c, d, e, f are non-negative integers.
=> 3 numbers are multiply of 7 plus 1
=> 3 numbers are multiple of 7 minus 1
Step 2: Perform the counting:
For the 1st number, there are 6 ways to select
To satisfy that each pair of numbers creates a multiple of 7, then:
For the 2nd number, there are 3 ways left to select
For the 3rd number, there are 2 ways left to select
For the 4rd number, there are 2 ways left to select
For the 5th number, there are 1 way left to select
For the 6th number, there are 1 way left to select
=> In total, the number of possible ways to select:
N = 6 x 3 x 2 x 2 x 1 x 1 = 72
However, these numbers are located around a circle, each option is counted twice.
=> The final number of possible ways:
N = 72/2 = 36
Hope this helps!
:)
f function g has the factors (x − 7) and (x + 6), what are the zeros of function g?
A.
-7 and 6
B.
-6 and 7
C.
6 and 7
D.
-7 and -6
Answers
Answer:
B
Step-by-step explanation:
What is the rate of change between (6,12) and (8,20)
Answers
Step-by-step explanation:
It might be easier thinking of "rate of change" as the slope. Since you'll be finding a slope, then, use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the values.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{20-12}{8-6}\\m=\frac{8}{2} \\m=4[/tex]
Answer:
[tex]m=\frac{4}{1}[/tex] or [tex]m=4[/tex]
Consider the reduction of the complex figure with a scale factor of what is the area of the reduced figure?
42 mm
6 mm
28 mm Area = 1225 mm2
4 mm
mm
49
175
196
Intro
Done
Answers
For anyone here who comes from edge.
Consider the reduction of the complex figure with a scale factor of 1 /7 . What is the area of the reduced figure?
The answer is A ; 25 mm2. I got it right on edge
Which expression is equivalent to x5 • x2?
Answers
Answer:
[tex]x^{7}[/tex]
Step-by-step explanation:
= [tex]x^{5} * x^{2}[/tex]
When bases are same, powers are to be added
= [tex]x^{5+2}[/tex]
= [tex]x^{7}[/tex]
PLZ HELP IM TIMED!!! Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options.. A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches. A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches. A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches. A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
Answers
Answer:
The correct options are (1), (2) and (4).
Step-by-step explanation:
If the cross-section of a right rectangular prism parallel to its base then the cross section is a rectangle.
If the cross section of a right rectangular prism perpendicular to its base then the cross section is a rectangle.
It is provided that a right rectangular prism has a rectangular base measuring 15 inches by 8 inches.
Then the right rectangular prism could have:
Dimensions: Length = 15 inches, Width = 8 inches and Height = 6 inches. A cross section parallel to the base which is a rectangle measuring 15 inches by 8 inches. A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.Thus, the correct options are (1), (2) and (4).
A car was bought a year ago for £2375. It is now worth £1729. What percentage of the cost of the car is the car worth now?
Answers
Answer:
72.8%
Step-by-step explanation:
1729 / 2375 = 0.728 -> 72.8%
Answer:
72.8 %
Step-by-step explanation:
£2375 ............ 100%
£1729 ...................x%
x = £1729×100%/£2375 = £172900/£2375 = 72.8 %
al3xis
Can anyone help me solve this equation? 4b+11=39
Answers
Step by step answer
Write the equation of the line with a slope of 3 that passes through the point (4, 1).
Answers
Answer:
Step-by-step explanation:
y - 1 = 3(x - 4)
y - 1 = 3x - 12
y = 3x - 11
Answer:c
Step-by-step explanation:
GEOMETRY HELP WILL MARK BRAINLIEST
Answers
Answer: the answer is 77 degrees
Step-by-step explanation: a triangle's angles all add up to 180, so all you need to do is 180-(59+44)
The length of a rectangle is 2 units greater than the width. The area of the rectangle is 24 square units. What is it's width?
Answers
Answer:
4 units
Step-by-step explanation:
Length would be 6 units and width would be 4 units
6*4 = 24 proving my claim to be true
Answer:
Width = 4 units
Step-by-step explanation:
Let us pose the width as w, and the length as l. If the length is 2 units greater than the width, consider the following;
[tex]l = 2 + w,\\\\w = width,\\l = length[/tex]
The area of this rectangle can be determined through length * width / l * w, and is given to be 24 square units. We can say l = 2 + w instead, solving for the width ( w );
[tex]( 2 + w ) * w = 24,\\2w+w^2=24,\\\left(w-4\right)\left(w+6\right)=0,\\w = 4, w = - 6\\\\Solution - width = 4 units[/tex]
As the width couldn't be a negative value, we had to take the positive of 4 and - 6, which was 4 units.
What is the solution to y = x² + 5x – 2
y = 3x - 2
Answers
Answer:
(0,-2)(-2,-8)
Step-by-step explanation:
Answer:
(0,-2) (-2,-8)
Hope this helps
Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.
Answers
Answer:
Step-by-step explanation:
[tex]tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ[/tex]
i am thinking of a fraction. The sum of the numerator and denominator is 19. When I add
8 to the denominator, the fraction becomes 1/2 What is the fraction I am thinking of?
Answers
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
Let the fraction be [tex]\frac{x}{y}[/tex].
That would mean:
(1) x+y = 19
&
(2) y+8 = 2x or 2x = y+8
In order to use substitution, we multiply equation by 2:
(3) 2x+2y = 38
Then we substitute equation (2) into (3):
y+8 + 2y = 38
3y + 8 = 38
3y = 30
y = 10
Substitute this into equation (1)
x + 10 = 19
x = 9
Therefore the fraction would be:
[tex]\frac{9}{10}[/tex]
Answer:
9/10
Step-by-step explanation:
let the fraction be x/y.
x+y=19
x/y+8=1/2
solve simultaneously
y=2x-8
y=19-x
2x-8=19-x
3x=27
x=9
y=10
i couldn't find this answer anywhere!! -x/6+6=32
Answers
Answer.
x=156
How to solve
x /6 +6=32
1 /6 x+6=32
1 /6 x+6−6=32−6
1 /6 x=26
6*( 1/ 6 x)=(6)*(26)
x=156
(-4,-1),(-3,-1),(-2,-3),(-1,0),(-3,2 )IS IT AN FUNCTION OR NOT
Answers
Answer:
No it isn't a function one of the x values, -3, repeats
Step-by-step explanation:
Please help with this question !
Answers
Answer:
to solve an equation you do PEMDAS in reverse.
Step-by-step explanation:
Add 1 to both sides.
multiply both sides by 4
square root both sides
now solve what's inside the parentheses by subtracting 5 from both sides.
Answer:
see below
Step-by-step explanation:
Add 1 to both sides
multiply both sides by 4
take the square root of both sides
subtract 5 from both sides
Four lines are drawn on a coordinate plane to form trapezoid WXYZ. A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3). Which statements are true about the lines? Select three options. Line WZ has the same slope as line XY. Line YX has a greater slope than line ZY. Line XW has a lesser slope than line YZ. Line ZW has the same y-intercept as line YZ. Line XY has a lesser y-intercept than line XW.
Answers
Answer:
A,C,D
or
Line WZ has the same slope as line XY.
Line XW has a lesser slope than line YZ.
Line ZW has the same y-intercept as line YZ.
Step-by-step explanation:
did it on edge 2020
Answer:
A C D
Step-by-step explanation:
BOYYYYYYYYYYYYYYYYYY
Help me
Verified and certified by me
-ayyyyyyy
Answers
Answer:
c. 412.5 cm^2
Step-by-step explanation:
first triangle: 5 x 15 = 75
75/2 = 37.5
rectangle: 15 x 19 = 285
triangle 2: 15 x 12 = 180
180/2 = 90
37.5 + 285 + 90 = 412.5
Find the value of n (-2/3)^4 ÷ (-2/3)^3 = (-3/2)^n
Answers
Answer:
Left side simplifies to (-2/3)^1 and the right side simplifies to (-2/3)^(-n) which means 1 = -n so n = -1.
Please help! Correct answer only please! I need to finish this assignment by today.
Sweet Dreams Bakery recently sold 4 brownies and 14 other desserts. What is the experimental probability that the next dessert sold will be a brownie?
Simplify your answer and write it as a fraction or whole number.
P(brownie) =
Answers
Answer:
2/9
Step-by-step explanation:
If the bakery sold 4 brownies and 14 other desserts, then they sold a total of +14=18 desserts. This means that the experimental probability that the next dessert is a brownie is 4/18=2/9. Hope this helps!
Which describes the intersection of line M and line N
Answers
Answer: A point
Step-by-step explanation:
To find the point of intersection algebraically, solve each equation for y, set the two expressions for y equal to each other, solve for x, and plug the value of x into either of the original equations to find the corresponding y-value. The values of x and y are the x- and y-values of the point of intersection.
Gordon Ramsey made a stew that contained shrimp and potatoes. Shrimp was expensive, so he used three times the amount of potatoes as he did shrimp. If the stew had 5 lbs. Total shrimp and potatoes, how many pounds of potatoes did he buy?
Answers
Answer:
He bough 1.25 lbs of shrimp and 3.75 lbs of potato.
Step-by-step explanation:
Since the stew is composed of shrimps and potatoes, then the sum of the weighs of these ingredients must be equal to the weigh of the stew, so we have:
[tex]shrimp + potato = 5[/tex]
We also know that he bought three times more potatoes than shrimps, therefore:
[tex]potato = 3*shrimp[/tex]
Using the second equation on the first one, we have:
[tex]shrimp + 3*shrimp = 5\\4*shrimp = 5\\shrimp = \frac{5}{4} = 1.25[/tex]
[tex]potato = 3*shrimp = 3*1.25 = 3.75[/tex]
He bough 1.25 lbs of shrimp and 3.75 lbs of potato.
Joseph is eating his favorite kind of cookie.The cookie is part of 9/10 cm thick. The frosting is 33/100 cm thick.What expression can be used to find the total thickness of the cookie and the frosting
Answers
Answer:
The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]
The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm
Step-by-step explanation:
The cookie is formed by two layers, the cookie and the frosting. So if we want to know the total thickness of the cookie and frosting we need to sum the thickness of each layer as shown below:
[tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}\\\text{total thickness} = \frac{9}{10} + \frac{33}{100}\\\\\text{total thickness} = \frac{10*9 + 33}{100}\\\\\text{total thickness} = \frac{123}{100} \text{ cm}[/tex]
The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]
The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm
A baker needs a total of cups of flour to make four batches of cookies. How much flour, in cups, does she need for each batch of cookies? Write and solve an equation to find the answer.
Answers
Answer:
She needs cups of flour for each batch of cookies.
Step-by-step explanation:
Step-by-step explanation:
A baker needs a total cups of flour to make four batches of cookies.
We have to calculate how much flour she needs for each batch of cookies.
Let the flour needed for one batch be f, so the expression would be
f × 4 =
First we convert mixed fraction to proper fraction.
f × 4 =
f =
= × =
Now we convert this proper fraction to mixed fraction.
=
She needs cups of flour for each batch of cookies.
Answer:
she needs 3 1/3 of a cup
Step-by-step explanation:
I have finished the test
EDGE 2021