In 1. He did not use the correct of making it an additive inverse. Usually to make additive inverse, one has to add the same numbers but opposite signs with it to result for a zero.
So the answer for step 1. would be... - 8.3 + 8.3 + 9.2 - 9.2 - 4.4 + 4.4 + 3.7 - 3.7
In 2. he also had errors because commutative property states that we can place the numbers in a different format but the result number will always be the same.
So the original problem is −8.3 + 9.2 − 4.4 + 3.7 which results 0.2 but in Allen's workout: −8.3 + 4.4 + 9.2 + 3.7 results 9
Actually the answer is B. cuz A is incorrect because he made errors. D is also incorrect because changing the grouping of numbers are commutative property. And step 2 is actually commutative so its not incorrect.
Select the correct answer.
Triangle ABC is reflected across the yaxls and then dilated by a factor of 2 centered at the origin. Which statement correctly describes the
resulting Image, triangle DEF?
Answer: B
Step-by-step explanation:
Reflection does preserve side length and dilation preserves angles.
The solution is Option B.
The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the triangle be represented as ΔABC
Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin
And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
So , only the x coordinate of the point changes and there is no change in the angles or the side lengths
Now , dilation changes the side lengths of the triangle by a factor of 2
But there is no change in the angles of the triangle after a dilation
Hence , reflection preserves the angles and side lengths of a triangle
To learn more about reflection click :
https://brainly.com/question/4681298
#SPJ2
Translate to an inequality. Use the variable x.
A number is less than 15.
Answer:
that's the correct answers
Step-by-step explanation:
thanks for your
To translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.
This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.
Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
Learn more about inequality here
https://brainly.com/question/24562509
#SPJ2
6 - 3/8x = 15
what is x
Answer:
Step-by-step explanation:
the answer is -480
Answer:
x = -24
Step-by-step explanation:
First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you
- 3/8x = 15-6
-3/8x = 9
Divide both sides by - 3/8
Then x = - 24
please help me :(
NO LINKS PLEASE
Answer:
Option A
Step-by-step explanation:
Given equation is:
[tex]x^2+1=2x-3[/tex]
Setting it up as a quadratic equation.
[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]
Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:
a = 1 , b = -2 , c = 4
Putting the values in quadratic equation:
[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
A
Step-by-step explanation:
a = 1, b = -2, and c =4
d = -b +- sqrt (b^2 - 4*a*b)
= - (-2) +- sqrt ((-2)^2 - 4*1*4)
43. Write a system of equations that is equivalent to each of the systems of equations below
2x + 3y = 4
12x+3y=1
X-7y=8
5x+4y=20
1.
The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So, 2x + 3y = 4 (1)
12x + 3y = 1 (2)
We multiply equation (1) by 2
So, 2x + 3y = 4 (1) × 2
⇒4x + 6y = 8 (3)
Replacing (1) by (3), we have
4x + 6y = 8 (3)
12x + 3y = 1 (2)
So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.
2.
The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So,
x - 7y = 8 (1)
5x + 4y = 20 (2)
We multiply equation (1) by 3, we have
So, x - 7y = 8 (1) × 3
⇒3x - 21y = 24 (3)
Replacing (1) by (3), we have
3x - 21y = 24 (3)
5x + 4y = 20 (2)
So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.
Learn more about equivalent equations here:
https://brainly.com/question/2972832
please solve quickly
Step-by-step explanation:
first you need to find the height
V = L×W×H
the volume your given is 880mm³
length is 22mm
width is 8mm
height is unknown
furthermore
V=L×W×H
880mm³= 22mm×8mm×H
880mm³= 176mm²×H
880mm³/176mm²=176mm²/176mm²×H
5mm=H
H=5mm
Surface Area= S.Atherefore S.A=2(L×W+ W×H +L×H)
=2(22mm×8mm+8mm×5mm+22mm×5mm)
=2(176mm²+40mm²+ 110mm²)
=352mm²+80mm²+220mm²
=652mm²
Write in point-slope form an equation of the line that passes through the
point (5, 9) with slope 7.
Answer:
y = 7x -26
Step-by-step explanation:
[tex]y-9=7(x-5)[/tex]
[tex]y=7x-35+9[/tex]
[tex]y=7x-26[/tex]
Hope this helps
find the sequence 5n+1
Answer:
Their are many answers for that seqence such as
1,6,11,16,21, etc..
Answer:
6,11,16,21,26,31,36...
Step-by-step explanation:
5x1=5 +1=6
5x2=10+1=11
...
Your family is
moving. A rental truck
costs $40, plus $0.15 for
every mile driven. Write
an equation to
represent the total
cost, c, of the moving
truck.
Answer: 4.15
Step-by-step explanation:
Need help asap!! :) 2. Solve for x.
Suppose Viviana sent 100 text messages to her friend. She plans to send an additional 10
text to her friend per period. How many periods will it take Viviana to send 200 text
messages?
Answer:
20 More Periods
Step-by-step explanation:
Just Divide 200/10 and you get 20.
WILL GIVE BRAINLY,5 STARS,AND THANKS
Answer:
Step 1: 10 group(s) of 23 = 230
Step 2: 6 group(s) of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
Step-by-step explanation:
For step one you can tell that 230/10 is 23. You can tell this because of the zero at the end of the number. Anything multiplied by 10 is that number but with a zero at the end. For step 2 you kind of have to do long division, or you can use a calculator. You will end up with 6. When you add the partial quotients, it means add the answers to steps 1 and 2 together and get 16. This should be right hope it helps!
Answer
From the results, we can conclude:
230=23×10
138=23×6
Therefore:
Step 1: 10 groups of 23 = 230
Step 2: 6 groups of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
answer 10 + 6 = 16
Which expression is equivalent to -9x^-1y^-9/-15x3y-3? Assume x & y ≠ 0
Step-by-step explanation:
when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.
-9/-15 = 3/5
x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶
y^-9/y^-3 = y³/y⁹ = 1/y⁶
so, when we multiply the 3 fractions again, we get
3/(5x⁶y⁶)
which is the second answer option.
8
Find the arc length of the partial circle.
units
Answer:
How to solve ???Arc Length = θ × (π/180) × r, where θ is in degree.
Radius and the sector area:-Multiply the sector area by 2.Then divide the result by the radius squared (the units should be the same) to get the central angle in radians.Multiply the central angle by the radius to get the arc length.Let's solve ur question :- Answer :-The Arc length of the given partial circle is 4π units or 12.56 units .
Used formulae :- The length of the Arc is "I" units , the radius "I" units and the angle subtended by the Arc at the center is "X" is ( X° / 360° ) x 2πr units .Circumference of the circle = 2πr units .π = 3.14Step-by-step explanation:
Ur answer with proof refer to above attachments .Hope this helps you XD ✌️Answer:
4π
Step-by-step explanation:
Hope this helps!
find the quotient 8^6/8^2
Answer:
4096
Step-by-step explanation:
What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0
Answer:
y=4
Step-by-step explanation:
x1=4,y1=4,m=0
Equation of a line: y-y1=m(x-x1)
y-4=0(x-4)
y-4=0
y=4
What is the answer to this?
Answer:
[tex]\frac{12}5[/tex]
Step-by-step explanation:
The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]
We know
[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]
Math makes me think I shouldn’t be alive anyway the question is in the picture
Help help help help math
area=147 cm squared
7 x 7 = 49
49 x 3 = 147
Wilson Green sells home security systems. He earns an 13% commission on every system he sells. Wilson's sales for this month totaled $6425. What is Wilson's commission? *
Answer
$835,25
Explanation
Total sales = $6425
Commission = 13%
100% - $6425
13% - x
13 * 6425 = 83525
83525 \ 100 = 835,25
A forest covers 73,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How man acres of old-growth trees are there?
There are__?__ acres of old-grown trees.
Answer:
292 acres.
Step-by-step explanation:
OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".
Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!
Answer:
$53.61
Step-by-step explanation:
It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...
growth factor = 1 + growth rate
growth factor = 1 -2.4% = 1 -0.024 = 0.976
Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...
($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61
The value is projected to be $53.61 in 2 years.
Identify the error and fix the mistake
Answer:
x = (9 ±√201) ÷ 12
Step-by-step explanation:
6x² -5x -9 = 0 ( rearranged)
a = 6 b = -5 c = -9
- - 9 = 9
-9² = 81 (the 81 must be positive, this is one error)
-4 x 6 x -5 = 120 ( the 5 must be a minus number, this is one error)
120 + 81 = 201
x = (9 ±√201) ÷ 12
Bob's Gift Shop sold 350 cards for Mother's Day. One salesman, Bentley, sold 2% of the cards sold for Mother's Day. How many cards did Bentley sell?
2% of 350 is 7, so Bentley sold 7 cards on Mother's Day
Choose the best response to the question below:
When multiplying the same variable to different exponents add the exponents and multiply the constant numbers:
3x x 2x = 6x
^2 + ^3 = ^5
Answer is a. 6x^5
How much water do you need to add to make each concentration?
1% sugar syrup using 12 g sugar
Answer:
108 g of water
Hope This Helps!!!
Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Castel sold 2 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $89. Kali sold 9 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $213. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?
please help, am not good at word problems. I will also give the brainliest answer.
Answer:
Plain is $7 and Holiday is $15
Step-by-step explanation:
Castel: 2p + 5h = 89
Kali: 9p + 10h = 213
Double Castel's: 4p + 10h = 178
Subtract fro Kali's 9p + 10h = 213
- 4p + 10h = 178
5p = 35
p = 7 Plain is $7
Substitute 7 into one of the equations and solve for h:
2(7) + 5h = 89
14 + 5h = 89
5h = 75
h = 15 Holiday is $15
What is the percent of change if 18 is increased to
452
What is the slope of the line2y+x=-3. Write your answer in simplest form.
Answer:
x+2y=-3
Step-by-step explanation:
No links or wrong answers please
Answer:
(x+1)(x−2)(x+3)(x−4)
Apply the distributive property by multiplying each term of x+1 by each term of x−2.
(x
2
−2x+x−2)(x+3)(x−4)
Combine −2x and x to get −x.
(x
2
−x−2)(x+3)(x−4)
Apply the distributive property by multiplying each term of x
2
−x−2 by each term of x+3.
(x
3
+3x
2
−x
2
−3x−2x−6)(x−4)
Combine 3x
2
and −x
2
to get 2x
2
.
(x
3
+2x
2
−3x−2x−6)(x−4)
Combine −3x and −2x to get −5x.
(x
3
+2x
2
−5x−6)(x−4)
Apply the distributive property by multiplying each term of x
3
+2x
2
−5x−6 by each term of x−4.
x
4
−4x
3
+2x
3
−8x
2
−5x
2
+20x−6x+24
Combine −4x
3
and 2x
3
to get −2x
3
.
x
4
−2x
3
−8x
2
−5x
2
+20x−6x+24
Combine −8x
2
and −5x
2
to get −13x
2
.
x
4
−2x
3
−13x
2
+20x−6x+24
Combine 20x and −6x to get 14x.
x
4
−2x
3
−13x
2
+14x+24
Step-by-step explanation:
i really dont know