Given:
The vertices of a quadrilateral are v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6).
To find:
The vertices of the image of quadrilateral vwxy after 180° about the origin.
Solution:
If a figure rotated 180° about the origin, then the rule of rotation is
[tex](x,y)\to (-x,-y)[/tex]
Using this rule, we get
[tex]v(-2,-1)\to v'(2,1)[/tex]
[tex]w(-5,-2)\to w'(5,2)[/tex]
[tex]x(-8,-7)\to x'(8,7)[/tex]
[tex]y(1,-6)\to y'(-1,6)[/tex]
Therefore, the vertices of image of quadrilateral vwxy after 180° about the origin are v'(2,1), w'(5,2), x'(8,7), y'(-1,6).
Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
Answer:
The answer is 5f + 6g +12
Step-by-step explanation:
Answer:
5f + 6g +12
Step-by-step explanation:
Simplify the expression.
which expression has the least value when x=100?
A.1/x
b.10/x
c.1-x
D 10-x
Answer:
C
Step-by-step explanation:
C will have the least value with -99.
A would be 1/100, which is 0.01, which is small, but larger than -99.
B would be 10/100, which is 0.1, which is larger than A.
C is 1-100, which equals -99.
D is 10-100, which equals -90. -99 is smaller than -90.
Answer:
c) 1 - x
Step-by-step explanation:
x = 100
a) [tex]\frac{1}{x}[/tex] ⇒ [tex]\frac{1}{100}[/tex]
answer ⇒ 0.01
b) [tex]\frac{10}{x}[/tex] ⇒ [tex]\frac{10}{100}[/tex]
answer ⇒ 0.10
c) 1 - x ⇒ 1 - 100
answer ⇒ -99
d) 10 - x ⇒ 10 - 100
answer ⇒ -90
A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
192
Step-by-step explanation:
8²+x²=16²
x=y
[tex]x = \sqrt{192} [/tex]
20 large plastic bottles can be recycled to 1 fleece jacket.
How many fleece jackets can be made with 280 large plastic bottles?
Answer:
14 jackets
Step-by-step explanation:
20 plastic bottles=1 fleece jacket
280 plastic bottles=?
(280×1)÷20
=14
A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.
Answer:
73.67
Step-by-step explanation:
In 2010, the number of participants in a checkers tournament was 2.6 × 10^4 people. In 2013, the number of participants in a checkers tournament was 5.2 × 10^6 people. By what factor did the number of participants increase from 2010 to 2013?
plsssss help me its due in 5 minss i beg.
Answer:
15.13
Step-by-step explanation:
To find diameter, divide circumference by pi or 3.14
I'm going to change the fraction to a decimal, so 47.5
47.5/3.14 = 15.1273885
Round to nearest hundredth gives you 15.13
Pls help me with this.
please help me,
11x13 = _ x 13+5 x 13
what is the number that goes in the blank
Answer:
14508 if I'm wrong I'm sorry
C. No, Bretts claim is incorrect because the pythagorean can only be used with a right triangle
D. No, Bretts claim it is incorrect because the pythagorean theorem can only be used when the side length of a triangle are equal
CAN SOMEBODY PLEASE HELP
Answer:
C. The answer is C, as pythagorean theorem only works on right triangles.
What is the solution to the following system of linear equations?
Y=-31-9
2x + 3y = -13
A. (-3,-2)
B. (-3,0)
C. (2,3)
D. (-2,-3)
Answer:
x=107/2, y=-40. (107/2, -40).
Step-by-step explanation:
y=-31-9=-40
2x+3(-40)=-13
2x-120=-13
2x=-13+120
2x=107
x=107/2
[Help asap, will mark brainliest] In the figure, line a is parallel to line b.
Answer:
m <5 = 65°
m<8 = 115°
Step-by-step explanation:
m<2= m<5 = 65° (vertically opposite angles are equal)
m<5 + m<4 = 180 (co-int angles, parallel lines)
65+ m<4 =180
m<4 = 115°
Therefore
m<4=m<8 = 115° (vertically opposite angles are equal)
Answer:
m<5 = 65 degrees m<8 = 115 degrees
Step-by-step explanation:
m<2 = 65 degrees
m<2 = m<5 so
m<5 = 65 degrees
A line is 180 degrees, so
180 degrees - 65 degrees = 115 degrees
m<8 = 115 degrees
At a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?
Answer:
$160
Step-by-step explanation:
Let the original cost of suit be x
If the suits were sold for $72 each and this price was 45% of a suit's original price, then;
72 = 45% of x
72 = 0.45x
x = 72/0.45
x = 160
Hence the original price of the suit is $160
Answer:
160
Step-by-step explanation:
got it correct ig lol
The first time Jane went to the fitness center she exercised for 20mins. She adds 10 mins to her exercise program every other day after that. how many days will it take Jane to build her exercise program every other day after that. how may days will it take Jane to build her exercise program up to an hour in length?
Answer:
9 days
Step-by-step explanation:
Day 1 20 min
Day 2 20 min
Day 3 30 min
Day 4 30min
Day 5 40 min
Day 6 40 min
Day 7 50 min
Day 8 50 min
Day 9 60 min
Find the value of x in the triangle shown below.
2
7
x
Answer:
[tex] {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708[/tex]
Answer:
By using Pythagoras theorem we get
H²=p²+b²
7²=2²+x²
X²=7²-2²
X=√(49-4)=√45=3√5
Step-by-step explanation:
find the given questions
9514 1404 393
Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
What is 591x37+125-16
Instant brainliest to HXH fans, proof if you name the 6 most important characters and the full name of the show
Answer:
Leorio, Gon, Killua, Kurapika, Hisoka, and Ging
Step-by-step explanation
Answer:
It's 21976 Gon! >:3
well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3
Step-by-step explanation:
:3
Make r the subject - picture underneath
Answer:
The answer is r = 6a / (5m² - 1).
Step-by-step explanation:
The steps are :
[tex]m = \sqrt{ \frac{6a + r}{5r} } [/tex]
[tex] {m}^{2} = \frac{6a + r}{5r} [/tex]
[tex]5r {m}^{2} = 6a + r[/tex]
[tex]5r {m}^{2} - r = 6a[/tex]
[tex]r(5 {m}^{2} - 1) = 6a[/tex]
[tex]r = \frac{6a}{5 {m}^{2} - 1 } [/tex]
Answer:
r = [tex]\frac{6a}{5m^2-1}[/tex]
Step-by-step explanation:
Given
m = [tex]\sqrt{\frac{6a+r}{5r} }[/tex] ( square both sides )
m² = [tex]\frac{6a+r}{5r}[/tex] ( multiply both sides by 5r )
5rm² = 6a + r ( subtract r from both sides )
5rm² - r = 6a ← factor out r from each term on the left side
r(5m² - 1) = 6a ← divide both sides by (5m² - 1)
r = [tex]\frac{6a}{5m^2-1}[/tex]
The author also uses _________ to describe the building and to give the reader a sense of "forbidding" or imposing fear.
repetition
imagery
irony
personification
Answer:
Imagery
How:
By describing the building through imagery, explaining it's appearance/past/history/story (and assuming it's bad), gives the listener a feeling of "forbidding" or imposing fear.
DEFINITIONS:Forbidding: Unfriendly or threatening in appearance.
Imposing fear: Someone noticeably feared by something/someone.
Area of a Parallelogram
Answer:
P=28
Step-by-step explanation:
a=bh
24= 12x
24 divided by 12=2
12 +2+12+2= 28
Write the word sentence as an inequality. Then solve the inequality.
The product of −2 and a number x is greater than 30.
Step-by-step explanation:
divide by 2 then reverse
A company makes muesli which contains nuts and sultanas.
They counted the number of nuts in 50 individual serving packets.
They drew this table.
Number of nuts
Number of
Midpoint (x)
packets (0)
fx
4-6
5
3
15
7-9
8
9
72
10 - 12
11
12
132
13 - 15
14
17
238
16 - 18
17
9
153
50
610
a) Complete the table.
b) Calculate an estimate for the mean.
A company makes muesli which contains nuts and sultanas.
They counted the number of nuts in 50 individual serving packets.
They drew a table.
Number Midpoint Number of
of nuts (x) packets (f) f.x
4 - 6 5 3 15
7-9 8 9
10 - 12 11 12
13 - 15 14 17
16 - 18 17 9
50
To Find :
complete the table
calculate and estimate for the mean
The estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.
a) To complete the table, we need to find the values of "fx" (frequency multiplied by the midpoint) for each class interval. Here's the updated table:
Number of Nuts Number of Packets Midpoint (x) fx
4-6 5 5 5 * 3 = 15
7-9 8 8 8 * 9 = 72
10 - 12 11 11 11 * 12 = 132
13 - 15 14 14 14 * 17 = 238
16 - 18 17 17 17 * 9 = 153
Total 50 610
b) To calculate an estimate for the mean, we use the formula:
Mean = Sum of (fx) / Total Number of Packets
Mean = 610 / 50
Mean ≈ 12.2
Therefore, the estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.
To know more about mean here
https://brainly.com/question/1136789
#SPJ2
Select all the true statements.
(1048 – 876) ÷ 4 is four times as large as (1048 – 876).
(1048 – 876) + 24 is 24 times as large as (1048 – 876).
(1048 – 876) – 17 is seventeen less than (1048 – 876).
1/2 × (1048 – 876) is half as large as (1048 – 876).
(1048 – 876) × 4 is four more than (1048 – 876).
Answer:
C and D are are the true statements
Padma buys a coat for $32.95 and a pair of shoes for $16.45. She is charged 5% sales tax.
What is the total cost of Padma’s purchases?
A. $47.81
B. $51.87
C. $53.46
D. $57.92
HELP!! ILL GIVE BRAINLIEST
Answer:
The answer is 90 degrees.
Step-by-step explanation:
If you want an explination, I'm more than happy to explain.
Answer:x=90
Step-by-step explanation:
90
Please help.
Algebra.
What’s the answer??????
Answer:
50p
Step-by-step explanation:
you can add them all up together. 27+3+6+14=50!
On a map, 1 inch equals 15 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Actual distance = distance on map x the scale:
3 inches x 15 miles per inch = 45 actual miles.