Answer:
1. ΔA'B'C' = A' = (1, 1), B'(-1, 1), and C'(1, 4)
2. ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)
Step-by-step explanation:
1. The coordinates of the triangle ΔABC are; A(3, 1), B(5, 1), and C(3, 4)
The reflection of a line across the line x = 2, is given as follows
The distance between the x-coordinate of the preimage and the line of reflection which is parallel to the x-axis = The distance of the x-coordinate of the preimage from the line of reflection but opposite in sign
The distance from A(3, 1) from x = 2 is 3 - 2 = 1, therefore, the x-coordinate of the image, A' = 2 - 1 = 1, therefore, we have;
The coordinate of A' = (1, 1)
Similarly, we have; B(5, 1) (reflection across x = 2) → B'(-1, 1)
C(3, 4) (reflection across x = 2) → C'(1, 4)
Therefore when we reflect ABC across the line x = 2, we get ΔA'B'C', with A' = (1, 1), B'(-1, 1), and C'(1, 4)
2. Reflection of A'B'C' across the line x = -3, gives;
A'(1, 1) (reflection across x = -3) → A''(-7 1)
B'(-1, 1) (reflection across x = -3) → B''(-15 1)
C'(1, 4) (reflection across x = -3) → C''(-7, 4)
The coordinates of the reflection of ΔA'B'C' across the line x = -3 is ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)
What is the explicit formula for the geometric sequence with this recursive formula
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_1=-6\\\\a_2=a_1*(\dfrac{1}{4} )^1\\\\a_3=a_2*(\dfrac{1}{4} )^1=a_1*(\dfrac{1}{4} )^2\\\\\\\\a_n=a_1*(\dfrac{1}{4} )^{n-1}\\\\Answer\ A\\[/tex]
Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies?
Answer:
Step-by-step explanation:
Victoria used : 170 g of butter for 250 g of flour.
So, 1 g of flour requires = 170/250 g of butter = 0.68 g of butter.
Victoria's daughter used: 340 g butter for 400 g flour
So, 1 g of flour requires = 340/400 g of butter = 0.85 g of butter
Thus, the cookies are not good made by the daughter as the butter is not in appropriate proportion.
Help me to do this question plz plz plz
Answer:
Unknown
Step-by-step explanation:
You need to reduce the fractions the best you can and solve from there :) not to sure tho I am only 13
How many units the function y = |x - 8| is translated from the parent function?
Answer:
8 Units, let me know if you didn't understand anything.
Step-by-step explanation:
Translation is the simple movement of just left, right, up or down. when dealing with the absolute value function here are the transformations.
A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D. B is the horizontal shrink, so you divide all x values by B except for where x=C. C is the horizontal shift, which is a translation. C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left. it could also look like |x + C|. keep in mind, +C is actually -C because - -C = C. D shifts up and down, so it is also a translation. if D is positive it moves up and if D is negative it moves down.
Nowthe only transformation in your problem is -8, which is a horizontal shift to the right. so the graph moves 8 to the right. There is your answer, 8 units.
Write an equation for the line that passes through (-5, 4) and (-4, 2).
Answer:
y = - 2x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 4, 2)
m = [tex]\frac{2-4}{-4-(-5)}[/tex] = [tex]\frac{-2}{-4+5}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 4, 2 ) , then
2 = 8 + c ⇒ c = 2 - 8 = - 6
y = - 2x - 6 ← equation of line
What is the fraction called that is used to convert one unit to another?
Answer:
ratio
Step-by-step explanation:
by using a conversion factor and a fraction, a ratio can be created to convert one unit to another.
1
What is the domain of F(x) =
1/x
Answer:
6557659
Step-by-step explanation:
tdycdu76rfvuiyt67gbvvbfutre7juitgvytx
Write the next thee numbers in each number pattern. Describe the pattern.
a) 2, 4, 3, 6, 5, 10, 9, 16, …
b) 7, 5, 8, 6, 9, 7, 10, …
Answer:
a) 2, 4, 3, 6, 5, 10, 9, 16, ...
Step-by-step explanation:
ILL GIVE BRAINLEST!!! An ice cream shop sold a combined total of 429 ice cream cones in the flavors of
chocolate or vanilla. They sold 105 more chocolate cones than vanilla. How many vanilla
ice cream cones did they sell?
Answer:
They sold 162 vanilla cones.
Step-by-step explanation:
429-105=324
324/2=162
162+105=267 (chocolate)
267(chocolate)+162(vanilla)=429(total)
A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL' is inscribed in the first row, ‘FLAG' in the fourth row, and a purple coloured rhombus is in the middle
The question is incomplete. The complete question is :
A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a purple colored rhombus is in the middle, as shown in the given figure.
Based on this picture of the school flag, answer the following questions:
(a) What fraction of the flag has the purple rhombus?
Solution :
From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks
The purple colored rhombus is made on the half of the 4 blocks.
i.e. [tex]$\frac{1}{2} \times 4 = 2\ \text{blocks}$[/tex]
Therefore, the fraction of the flag that has the purple rhombus is :
[tex]$=\frac{2}{24}$[/tex]
[tex]$=\frac{1}{12}$[/tex]
Sophie Ruth is eating a
50
5050-gram chocolate bar which contains
30
%
30%30, percent cocoa.
How many grams of cocoa are in the chocolate bar?
grams
Answer:
15 grams
Step-by-step explanation:
There is a 50 gram chocolate bar that contains 30% cocoa. So we are basically finding 30% of 50. We break 30 into 3*10 and 50 into 5*10. 5*3 = 15.
Therefore, there are 15 grams of cocoa in the chocolate bar.
I hope this helps.
Download guathmath and put it my code please it's an app with tutors it's faster! WFHUZJ
Answer: Advertisement?
Do I need an explanation? : Y e s I d o
The 4 answer it gives
X=-3
X=-1
X=1
X=3
Answer:
x=3
Step-by-step explanation:
If we look at the point of intersection on the graph they intersect at point (3,-1) but x=3 and y=-1 therefore x=3.
Can someone help me I don't understand
Step-by-step explanation:
Hey there!
From the above right angled triangle ABC;
Taking Angle ABC as reference angle;
Angle ABC = ???
Perpendicular (p) = AC = 15
Base (b) = AB = 47
Now;
Taking ratio of sin;
[tex] \tan( \alpha ) = \frac{p}{b} [/tex]
Keep value;
[tex] \tan( \alpha ) = \frac{15}{47} [/tex]
Simplify it;
[tex] \tan( \alpha ) = 0.3191489[/tex]
Take tan to next side;
Angle ABC (alpha) = tan'(0.3191489)
Therefore, the measure of angle ABC is 17.70°.
Hope it helps!
Can someone help me out
Answer: [tex]V=3369.3ft^3[/tex]
Step-by-step explanation:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (9.3)^3\\V=3369.3ft^3[/tex]
a box has a length of 6x inches. the width equals one third the length, and the height equals half the length. if the volume equals 972 cubic inches, what does x equal?
a box has a length of 6x inches
l=6xthe width equals one third the length
w=[tex]\sf{\dfrac{1}{3}×6x }[/tex] w=2xthe height equals half the length.
h=[tex]\sf{\dfrac{1}{2}×6x }[/tex] h=3xwe know that,Volume of a rectangle box=l×w×h
According to the question,if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=972 36x^3=972 cubic unitx=972/36x=27Therefore:-The value of x is 27
a box has a length of 6x inches
so,
l=6xBut,the width equals one third the length
[tex]w=\dfrac{1}{3}×6x \\\\w=2x [/tex]
again,the height equals half the length.
[tex]h=\dfrac{1}{2}×6x \\\\h=3x[/tex]
we knows:-
Volume of a rectangle box=l×b×h
From the question,if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=97236x^3=972 cubic unitx=972/36x=27.Final solution:
.°.The value of x is 27.
. State the length of the missing side. Note: This quadrilateral is a parallelogram.
7.7
Step-by-step explanation:
In a parallelogram opposite sides are congruent.
The length of the missing side TQ in the parallelogram is 7.7.
Here, we have, from given figure that, SRQT is a parallelogram.
now, we have,
To find the length of the missing side TQ in the parallelogram,
we can use the properties of a parallelogram.
In a parallelogram, opposite sides are equal in length.
Therefore, we can determine the length of TQ by finding the length of its opposite side, SR.
Given that SR = 7.7,
we know that TQ must also have a length of 7.7.
So, we get,
the length of the missing side TQ in the parallelogram is 7.7.
To learn more on parallelogram click:
brainly.com/question/6166074
#SPJ4
Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9
Answer:
Additive property
Step-by-step explanation:
Given
[tex]x - 5 = -14[/tex]
Required
The property used
In the 2nd step, 5 was added to both sides, i.e.
[tex]x - 5+5 = -14 + 5[/tex]
The above is an illustration of additive property of equality, i.e. Adding or subtracting the same variable or constant to both sides of an equation
The following two-way table describes student's
after school activities. Find the probability that a
randomly selected student is in music/drama:
Grado
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P(Music/Drama) = [?]
Round to the nearest hundredth.
Please HELP MEEE!!!!!!
Answer:
1/4
Step-by-step explanation:
Firstly, we need to get the total number of students on the table
We have this as;
20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5 = 100
Now, we sum up the values we have in the music/Drama column
We have this as;
7 + 13 + 5 = 25
so the probability of selecting a student in the music/drama group is the number of music/drama students divided by the total number
That would be
25/100 = 1/4
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.
WILL GIVE BRANLIEST
Solution :
Amount of money Victoria has = $200
The amount modelled by function = h(x) = 200
According to the function,
s(x) = (1.05)x - 1
It means that the total amount of the interest that Victoria will receive s(x) is equal to original amount of $200 which multiplied by the rate of interest (1.05) and then multiplied by the time that Victoria keeps the money in the bank (x) minus 1.
The total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]
Exponential functions
THe standrd exponential function is exprressed as:
y = a(1±r)^t
Given the following parameters
h(x) = a = 200
s(x) = [tex](1.05)^{x-1}[/tex]
Combining both expressions will given 200 [tex](1.05)^{x-1}[/tex]
Hence the total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]
Learn more on exponential function here: https://brainly.com/question/12940982
Find the equation of the line:
Answer:
y = -1/4x - 2
Step-by-step explanation:
y = -1/4x - 2
What is the order of rotational symmetry for the figure?
Answer:
it should be 3
Step-by-step explanation:
I hope this help
y = -4(x + 6)(x - 8)
How do you write this in standard form?
Answer:
[tex]y = -4x^2 + 8x + 192[/tex]
Step-by-step explanation:
Hi there!
Standard form: [tex]y=ax^2+bx+c[/tex]
[tex]y = -4(x + 6)(x - 8)[/tex]
Use the distributive property to multiply (x+6) and (x-8)
[tex]y = -4(x(x - 8) + 6(x - 8))\\y = -4(x^2 - 8x + 6x - 48)\\y = -4(x^2 - 2x - 48)[/tex]
Multiply the parentheses by -4
[tex]y = -4x^2 + 8x + 192[/tex]
I hope this helps!
A force of 9 lb is required to hold 35lb crate on a hill. What angle does the hill make with the horizontal?
Answer: [tex]14.9^{\circ}[/tex]
Step-by-step explanation:
Given
Applied force is 9 lb to hold of 35 lb crate on a hill
Suppose the hill makes an angle of [tex]\theta[/tex] with horizontal
There will be two component of weights i.e. along and perpendicular to the hill
Only the component along the hill pulls the crate backwards
So,
[tex]\Rightarrow 35\sin \theta=9\\\\\Rightarrow \sin\theta =\dfrac{9}{35}\\\\\Rightarrow \theta =14.89^{\circ}\approx 14.9^{\circ}[/tex]
Match the number with its opposite -5.4
PLEASE DO THIS ASAP! MUST SHOW WORK!
NO LINKS
Answer:
P = 64 meters
Step-by-step explanation:
P = 2(l+w)
l = 14 and w = 18
P = 2(14+18)
P = 2( 32)
P = 64 meters
Perimeter of rectangle = 2 ( L + B )
L represents length of rectangle. B represents breadth of rectangle. So ,L = 14 metersB = 18 metersNow , Substuting the valuesPerimeter of rectangle = 2 ( 14 + 18 )
Perimeter of rectangle = 2 ( 32 )
Perimeter of rectangle = 64 meters.
which of the following is not a rational number
A.2
B.-3
C.0.5
they are all rational..
What are the slope of the y intercept of the line represented by the points shown on the table
Identify the slope and y-intercept in the line y=3/4 x - 3
m=
b=
Answer:
The slope is 3/4 and the y intercept is -3
Step-by-step explanation:
y=3/4 x - 3
This equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 3/4 and the y intercept is -3
Answer:
[tex]{ \bf{slope = \frac{3}{4} }} \\ \\ { \bf{y - intercept : - 3}}[/tex]
Step-by-step explanation:
General equation of line:
[tex]{ \bf{y = mx + b}}[/tex]
Slope is m and y-intercept is b:
[tex]{ \tt{y = \frac{3}{4}x - 3 }}[/tex]
Slope= ¾
y-intercept = -3
A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.
Answer:
The right solution is "0.5545".
Step-by-step explanation:
According to the question,
The probability of having 6 or 7 males will be:
= [tex]P(6 \ males)+ P(7 \ males)[/tex]
= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]
= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]
= [tex]\frac{16870425}{30421755}[/tex]
= [tex]0.5545[/tex]