[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
Graph the polygon and its image after a dilation centered at C(1,1)
with scale factor k=0.5
.
J(3,1), K(5,−3), L(5,5), M(3,7)
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
DIlations are defined by the follwing operation:
[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.[tex]k[/tex] - Dilation factor.[tex]P(x,y)[/tex] - Original point of the polygon.[tex]P'(x,y)[/tex] - Dilated point of the polygon.If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:
[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]
[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]
[tex]J'(x,y) = (1,1) +(1,0)[/tex]
[tex]J'(x,y) = (2,1)[/tex]
[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]
[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]
[tex]K'(x,y) = (1,1) +(2,-2)[/tex]
[tex]K'(x,y) = (3,-1)[/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]
[tex]L'(x,y) = (1,1) + (2,2)[/tex]
[tex]L'(x,y) = (3,3)[/tex]
[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]
[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]
[tex]M'(x,y) = (1,1) +(1,3)[/tex]
[tex]M'(x,y) = (2,4)[/tex]
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
We kindly invite to check this question on dilations: https://brainly.com/question/13176891
Solve the equation by completing the
square. Enter the smallest solution first
and round to the nearest tenth.
s2 - 10s - 23 = 0
-
s = [?]
=
Answer:
s ≈ - 1.9 , s ≈ 11.9
Step-by-step explanation:
s² - 10s - 23 = 0 ( add 23 to both sides )
s² - 10s = 23
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(- 5)s + 25 = 23 + 25
(s - 5)² = 48 ( take square root of both sides )
s - 5 = ± [tex]\sqrt{48}[/tex] ( add 5 to both sides )
s = 5 ± [tex]\sqrt{48}[/tex]
Then
s = 5 - [tex]\sqrt{48}[/tex] ≈ - 1.9 ( to the nearest tenth ) ← smaller solution
s = 5 + [tex]\sqrt{48}[/tex] ≈ 11.9 ( to the nearest tenth ) ← larger solution
Help me ..Answer should be well explained..
9514 1404 393
Answer:
6. see attached
7. (a, b) = (-2, 3)
8. equation has issues
Step-by-step explanation:
6. Matrix addition is defined for corresponding terms, so the usual associative and commutative properties of addition apply. That is, ...
A₁₁ +B₁₁ = (A+B)₁₁ . . . . . and the same for other corresponding terms
The attachment shows the sums are equal. (It is convenient to let a spreadsheet do the tedious repetitive work.)
__
7. To find 'a' and 'b', we only need to consider the matrix elements that involve those variables.
element 11: 5 = b +2 ⇒ b = 3
element 21: a = 2 +2a ⇒ a = -2 (add -a-2 to both sides to get this)
__
8. There are issues with this equation. It is incomplete and inconsistent.
element 11: p = p+4 ⇒ no solution
element 21: r = 0 +(2r s) ⇔ missing math symbol; problem is incomplete
element 12: q = 6 + (p +q) ⇒ p = -6; q = anything
element 22: s = 2s +2 ⇒ s = -2 (add -s-2 to both sides)
_____
Additional comment
When a problem has issues of the kind that show up in question 8, I suggest that you have your teacher show you how to work the problem. If they're paying attention, they will discover the issues for themselves.
If they are able to work the problem, it will be because they filled in the missing information and resolved the inconsistencies. This will let you see the intended question.
grace records the air temp throughout the day in a table. convert graces measurements from degrees °F to degrees °C using formula shown below
Answer:
...
Step-by-step explanation:
Does 2/3 +3/4 + 1/5 = 1 37/60? Why or why not?
Answer:
97 / 60 is what 2/3 + 3/4 + 1/5 comes
They also come to 1 37/60
Step-by-step explanation:
1 37/60 = 97/60 Does it?
Result = 2/3 + 3/4 + 1/5
The common denominator is 3 * 4 * 5 = 60, so that much is true.
2/3 = 40/60
3/4 = 45/60
1/5 = 12 / 60
When you add these three together, the numerator is 40 + 45 + 12 = 97
So the answer is correct.
Please help I’ll give brainylist in return thank you
2.5 is the scale dilation.
Kinda Logic
A computer virus infects files very quickly. The number of files triples every minute. After the first minute, five files are infected. (pls answer)
Options in the pic
Answer:
C
Step-by-step explanation:
The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!
Amy drove to her mother's house, which is
204 miles away. If it took her 3 hours, what was
her average speed
Answer: 68 miles per hour 2
204 miles/3 hours = 68 miles per hour
i hope this helps you ok :)
Answer:
68 Miles Per Hour
Step-by-step explanation:
[tex]\frac{204}{3} =68[/tex]
Which statement is an example of heat transfer by convection? Question 4 options: Jane's feet burned as she walked across the hot beach sand. Hot air from the sand rose and was replaced by cool air blowing in from the ocean as a sea breeze. The black asphalt of the parking lot was much warmer than the green grass surrounding the lot. People were scattered across the beach, sitting on chairs and towels, warming themselves in the bright sunshine.
Answer:
Step-by-step explanation
Hot air from the sand rose and was replaced by cool air blowing from the ocean as a sea breeze.
(PLEASE HELP!!)
Use the given figure to complete the statement below.
∠1 and ∠2 are what
angles?
-Congruent
-Similar
-Supplementary
-Complementary
please help me please
three fifths of the children in a school are boys seven eighths of the girls in the school are right handed. What fractions of the children in the school are left handed girls?
Answer:
Step-by-step explanation:
Firstly, we need to get the fraction that are girls
What we have to do is to subtract the three-fifths from the total fraction of 1
Mathematically,that would be :
1- 3/5=2/5
We have it that seven-eigths of the girls are left-handed. This mean one-eight of the girls are left handed
To get the fraction of the school that are left handed, we multiply the fraction of girls by the fraction of left-handed girls
We have this as:
1/8 x 2/5=1/20
We have it that 1/20 of the children are left-handed girls
In addition to the car payment, Jackson and Bonnie estimate they will spend $200 on utilities, $140 on gasoline, $200 for groceries, $55 for cell phone, and $45 for car insurance. What will be the total of the monthly bills?
Which equation represents the sentence?
Six less than a number is half the number.
n−6=n2
n2−6=n
6−n=n2
6−n2=n
Answer:
It is n-6=n/2.
Step-by-step explanation:
I took the quiz.
9. The
school is planning on taking 684 students on the field trip. If the bus can only hold 43
students, how many buses will they need?
Answer:
16
Step-by-step explanation:
Answer:
16 buses
Step-by-step explanation:
684/43 = 15.9
(7,1) and (-5,1)
Find the slope of the line that passes through the 2 points.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 1)/(-5 - 7)
m = 0/(-12)
m = 0
For what value of x is line m parallel to line n?
x=?
if we conduct 105 hypothesis tests at the 5% level, how many of them would be expected to be statistically significant just by chance alone
What are the possible values of y if x =4 in the inequality x-2y ≤ 5?
Answer:
y ≥ -0.5
Step-by-step explanation:
First, we can substitute 4 in for x in the inequality.
4 - 2y ≤ 5
Now, to solve for y, we start by subtracting 4 from both sides:
-2y ≤ 1
And divide by -2. When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign. This gives us:
y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5
Therefore, the possible values of y are -0.5 or greater.
Which of these sets of ordered pairs satisfies and expertise equation
Answer:
the answer would be C guys
PLEASE HELP WILL MARK BRAINLIEST
Answer:
a
Step-by-step explanation:
Sam earns $.75 for each call he makes for a telemarketing service. He hopes to make at least $100 each day. Write an inequality to represents the number of calls he must make each day. (Let c equal the number of calls. )
Which of the following decimals is equal to 3 1/40 ? Select TWO that apply
A 3.0025
B 3.025
С 3. overline 0025
D 3.overline 025
E 3.0025 overline0
F. 3.025overline0
=======================================================
Explanation:
Use long division or your calculator to find that 1/40 = 0.025
Add on 3 to get 3 & 1/40 = 3 + 1/40 = 3 + 0.025 = 3.025 which is choice B
For some reason, your teacher has decided to add on a string of 0's onto this to form [tex]3.025\overline{0}[/tex] that horizontal line over the '0' means the 0's go on forever. So, [tex]3.025 = 3.025\overline{0} = 3.025000000...[/tex], but we can always chop off the trailing zeros to make life simpler. I'm not sure why your teacher has decided to use this fairly strange format.
The decimal value is equivalent to 3.025.
What are decimal numbers?A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.We have the following fraction -
3 [tex]\frac{1}{40\\}[/tex]
We can write the mixed fraction as -
3 [tex]\frac{1}{40\\}[/tex]
(40 x 3 + 1)/40
121/40
3.025
Therefore, the decimal value is equivalent to 3.025.
To solve more questions on functions, expressions and equation modelling, visit the link below -
brainly.com/question/17421223
#SPJ2
the absolute value of n^2 if n<0
Answer:
Step-by-step explanation:
Evaluate. [2−∣∣−1/4−2(−3/5)∣∣]÷(−6) What is the value of the expression? Enter your answer as a simplified fraction in the box.
Answer:
-7/40
Step-by-step explanation:
I hope this helps!
2x-7=13
What is the answer for x ?
Answer:
The answer will be ( x = 10)
Which of the following is an arithmetic sequence with common difference 2?
O A. 1, -3, 5, -7, 9, ...
O B. 2, 4, 8, 16, 32, ...
O C. 10, 8, 6, 4, 2, ...
-
D. 13, 15, 17, 19, 21, ...
, ,
Answer:
B
Step-by-step explanation:
You can find the nth term of the arithmetic sequence calculator to find the common difference of the arithmetic sequence. The approach of those arithmetic calculator may differ along with their UI but the concepts and the formula remains the same. You need to find out the best arithmetic sequence solver having good speed and accurate results.
Answer:
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Si se duplica el radio(2) del círculo anterior, el número de veces que aumenta el area del círculo es?
Answer:
4
Step-by-step explanation:
is 60:45 and 4:3 are equivalent ratios
Answer:
yes
Step-by-step explanation:
if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.
Alguien puede ayudarme porfavor es para hoy ...Se los agradeceria mucho
Answer:
english?
Step-by-step explanation: