Answer:
Yes it does exist
Step-by-step explanation:
You must be able to add any two sides and get a number greater than the third side in order to be considered a triangle.
In this case that is possible.
Hope this helps!
2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.
Answer:
Transformation: (x,y) → (x - 26, y + 17) or
[tex]T _{-26,17}[/tex](x,y) [translation]
A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.
Explanation:
Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).
Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.
The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.
Given all the points, the more complicated work is shown here:
(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).
When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.
1. f(x) = 3x - 2 for D = (-3, 1, 5}
Plzzz help plzzz help plzz help
Answer:
Step-by-step explanation:
3(-3) - 2 = -9 - 2 = -11
3(1) - 2 = 3 - 2 = 1
3(5) - 1 = 15 - 1 = 14
A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?
Answer:
170
Step-by-step explanation:
you have to set up a proportion and cross multiply.
[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]
that would cross multiply to
[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]
which would simplify to
[tex]1020 = 6x[/tex]
then, you isolate x by dividing 6 from both sides to get the final answer of
[tex]170 \: miles = x[/tex]
what are all the fractions that are equivalent to 5/6
Answer:
There are infinitely many equivalent fractions
Step-by-step explanation:
This is because all you have to do to find an equivalent fraction is multiply to numerator and denominator by the same number, and there are infinitely many numbers, therefore there are infinitely many equivalent fractions.
The sum of the digits of a two digit number is 11 the number got by interchanging the digits is 27 more than the original number. What is this number ?
Let the digit in one's place be y and digit at ten's place be x.
Given:Sum of the digits = 11
⟶ x + y = 11
⟶ x = 11 - y -- equation (1).
And,
The number formed by reversing the digits is 27 more than the original number.
⟶ Reversed number = Original number + 27
reversed number = 10y + x.
⟶ 10y + x = 10x + y + 27
⟶ 10y + x - 10x - y = 27
⟶ 9y - 9x = 27
Substitute the value x from equation (1).
⟶ 9y - 9(11 - y) = 27
⟶ 9y - 99 + 9y = 27
⟶ 18y = 27 + 99
⟶ 18y = 126
⟶ y = 126/18
⟶ y = 7
Substitute the value of y in equation (1).
⟶ x = 11 - 7
⟶ x = 4
The number = 10(4) + 7 = 40 + 7 = 47.
∴ The required two digit number is 47.
I hope it will help you.
Regards.
Find the inverse of f(x) = 3x + 7
Answer:
g(x)=(x-7)/3
Step-by-step explanation:
Answer:
The answer would be [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse
Step-by-step explanation:
Determine the distance from point (2,4) to (4,-2) Plz help asap
Answer:
Step-by-step explanation:
Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yard to the mailbox, a distance of 24 feet he came straight back across the yard 10 feet and stopped to pet his dog How far did joshua walk in total
Answer:
Joshua walked 48 feet in total.
Step-by-step explanation:
To find the total distance we need to sum every distance that he walked. We have:
- First: Joshua walked down the hall to the door = 14 feet
- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet
- Third: He came straight back across the yard and stopped to pet his dog = 10 feet
Hence, the total distance is:
[tex] d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft [/tex]
Therefore, Joshua walked 48 feet in total.
I hope it helps you!
Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1
Answer:
x = 2
Step-by-step explanation:
10x - 7 = 7x - 1
10x = 7x + 6
3x = 6
x = 2
Answer:
x = 2
Step-by-step explanation:
Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.
You should be left with 10x - 7x = 7 - 1.
10x - 7x = 3x
7 - 1 = 6
3x = 6
Divide both sides by three to get your answer of x = 2.
7(x−5)−9=334 what is the answer of x
Answer:
[tex]\boxed {x = 54}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]7(x - 5) - 9 = 334[/tex]
-Use Distributive Property:
[tex]7(x - 5) - 9 = 334[/tex]
[tex]7x - 35 - 9 = 334[/tex]
-Combine like terms:
[tex]7x - 35 - 9 = 334[/tex]
[tex]7x - 44 = 334[/tex]
-Add both sides by [tex]44[/tex]:
[tex]7x - 44 + 44 = 334 + 44[/tex]
[tex]7x = 378[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7}= \frac{378}{7}[/tex]
[tex]\boxed {x = 54}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]54[/tex].
PLEASE HELP ME OUT IF YOU CAN
Answer:
D
Step-by-step explanation:
Pls pls pls answer I’ll give you the brainlist!
Sorry If I spelled it wrong
Answer:
22
Step-by-step explanation:
You can just put it in your calculator
Answer:
22
Step-by-step explanation:
What’s the volume to this shape?
Answer:
30x^6
Step-by-step explanation:
5×2×3=30
x+x+x+x+x+x=6x
Indices gets added when they are multiplied
Answer:
[tex]540x^{3}[/tex]
Step-by-step explanation:
First, we need to simplify all over the cubes and squares.
2x^2 = 4x
3x^3 = 27x
5x=5x
Then , we need to multiply them together.
27x*4x= 108x
108x*5x = 540x
Now, we have our answer
From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.
What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?
Answer: help plz
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
Aight bois this can be worth a brainliest so y’all better help me out
Answer:
The differences between a physical change and a chemical change are as follows :
Physical change is a temporary and usually reversible change in which no new substances are formed whereas Chemical change is a permanent and it is usually an irreversible change in which new substances with different properties are formed. In physical change, the chemical composition of the substance remains the same but only the physical properties like state , colour , speed , motion , shape , size etc are changed whereas In chemical change , the physical properties , the chemical properties and the chemical composition of the substances are changed.Physical change is a reversible change as it occurs in forward as well as backward directions whereas chemical change is an irreversible change as it cannot be reversed back from products to reactants.Some of the examples of physical change are glowing of an electric bulb , magnetising an iron nail , preparing a solution , changing of ice into water and water vapour etc. Some of the examples of chemical change are changing milk into curd , rusting of iron , burning magnesium ribbon , decaying grasses , cooking rice etc.Hope I helped!
Best regards ! :D
~[tex] \text{TheAnimeGirl}[/tex]
Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?
A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6
Answer: 6x+1250
Step-by-step explanation:
Amount already in the register = $1250
Number of phones sold every hour = 6
Price of the phone = x
The expression that represents the total amount of money that he should have in the register in a given hour will be:
= $1250 + $6x.
Therefore, option C that is 6x + 1250 is the correct answer.
There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground?
Which values of a, b, and c correctly represent the answer in simplest form? PLEASE HELP I AM BEING TIMED TRYING TO HELP OUT MY LITTLE SISTER, I WILL MARK BRAINLIEST!!!!!!!!!
4 1/2 division sign 1 1/4 = a b/c?
A. a=3, b=6, c=10
B. a=3, b= 3, c=5
C. a= 5, b= 3, c=3
D. a=10, b=6, c=
[tex]4 \frac{1}{2} \div 1 \frac{1}{4} [/tex]
[tex] \frac{9}{2} \div \frac{5}{4} [/tex]
[tex] \frac{9}{2} \times \frac{4}{5} [/tex]
[tex] \frac{36}{10} [/tex]
[tex] \frac{36}{10} \: as \: a \: mixed \: fraction \ \: : [/tex]
[tex]3 \frac{6}{10} [/tex]
In place of A , 3 is there , in place of B , 6 is there and in place of C , 10 is there .Therefore , the correct option is :-[tex]A. a = 3 , b = 6 , c = 10
[/tex]
Can someone help me it would be appreciated
Answer:
X^6 is the GCF
Step-by-step explanation:
Because what x^6 is will be more than x^4
Solve for x plz show all the work. x/3=6
Answer: x=18
Step-by-step explanation:
X/3=6
We want to get x alone so we multiply both sides by 3
X=18
Choose the correct written expression for: (9 x 4) divided by 6.
Options:
he quotient of 9 and 4 times 6
divided by the product of 9 and 4
the product of 9 and 4 divided by 6
9 times 4 divided by 6
Answer:
the product of 9 and 4 divided by 6
Carta and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost sa5 and was on sale for 20% off the original price. Which suitcase was the bra? A Carta because her sutase cot $11 25 2. Daniel because his suitcase cot $17. Can cause decor, ST12 D. Dariel because ts sutcace was docoumed by S17
Answer:
Carla's suitcase was a better purchase.
Step-by-step explanation:
The complete question is:
Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?
Solution:
Cost Price of Carla's suitcase = $75Discount% for Carla = 19%
The amount paid by Carla is,
[tex]\text{Amount}=CP\times [1-d\%]=75\times [1-0.19]=60.75[/tex]
So, the amount paid by Carla was, $60.75.
Cost Price of Jeana's suitcase = $85Discount% for Jeana = 20%
The amount paid by Jeana is,
[tex]\text{Amount}=CP\times [1-d\%]=85\times [1-0.20]=68[/tex]
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.
I need help please it’s due in a couple of minutes
Answer:
1. 16=v top left
2. n=5.8 bottom left
3. n= -31.9 top right
4. b= 6 . bottom right
If I am wrong I am sorry
Help pls idk how to do this idk if i will set it up right
Answer:
3(-10.5)
Step-by-step explanation:
Answer:
3(-10.5)
Step-by-step explanation:
Can y’all help me please:)
Answer:-9
Step-by-step explanation:
that is the answer
What is -14x+28+6x=-44 and show your work pls and thankyou.
Answer:
x=2
Step-by-step explanation:
-14x+28+6x=-44
-8x+28=-44
-8x= -16
x=2
combine like terms
-8x+28 = -44
subtract 28 from both sides
-8x = -72
divide both sides by -8
x = 9
Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have?
Q5.
Here are two fractions.
7/5 and 5/7
Work out which of the fractions is closer to 1
You must show all your working.
Answer:
5/7
Step-by-step explanation:
You can convert them to fractions to answer:
7/5=1.4
5/7=0.714
7/5 is 0.4 away from 1, while 5/7 is 0.3 away.
Answer:
5/7 is closer
Step-by-step explanation:
7/5= 49/35=1 14/35
5/7= 25/35
7/5 is 14/35 away from one whereas 5/7 is 10/35 away.
Which choice shows the following rational numbers in order from least to greatest?
1.6
9/10
15/8
190%
1 1/2
I will give BRAINLIEST!!!!!!!
Answer:
It is A trust.
Step-by-step explanation:
9/10 is the lowest because it is the only number that isn't whole then 1 1/2 cause it is one and a half with is equivalent 1.5 then 1.6 15/8 because it is 1 7/8
then 190% because it is the largest number
Answer:
tfgvb
Step-by-step explanation:
tfgcv
An aquarium is being filled at a rate of 2.5 inches per second. The equationLaTeX: y=2.5xy = 2.5 x is used to determine the height of the water after LaTeX: xx seconds. Find the domain and range of the situation if it takes 60 seconds to fill the aquarium.
Answer:
Step-by-step explanation:
Given the equation y = 2,5x
y is the height of the water
x is the time.
To get the range of values of the height at t = 60s, we will substitute x = 60 into the function
y = 2.5(60)
y = 150 in
Hence the range of the situation is [0, 150].
The domain will be all positive integers i.e xEZ