Given:
V'W'X'Y' has vertices V'(-3,2), W'(5,1), X'(0,4) and Y'(-2,0).
V'W'X'Y' is the image of VWXY rotated 90° around the origin.
To find:
The coordinates of VWXY (the pre-image).
Solution:
V'W'X'Y' is the image of VWXY rotated 90° around the origin. It means, the figure VWXY is rotated 90° counterclockwise around the origin.
So, if we rotate V'W'X'Y' 90° clockwise around the origin, then we get the original figure VWXY.
If a figure rotated 90° clockwise around the origin, then
[tex](x,y)\to (y,-x)[/tex]
[tex]V'(-3,2)\to V(2,3)[/tex]
[tex]W'(5,1)\to W(1,-5)[/tex]
[tex]X'(0,4)\to X(4,0)[/tex]
[tex]Y'(-2,0)\to Y(0,2)[/tex]
Therefore, the coordinates of preimage are V(2,3), W(1,-5), X(4,0) and Y(0,2).
Determine each missing number.
a) 25% of 84 = ■
b) 24% of 200 = ■
c) 10% of ■ = 5
Fil in the squares please!!
Step-by-step explanation:
a. 25% of 84 = ?
To solve this problem;
[tex]\frac{25}{100}[/tex] x 84
25 goes in 100, 4 times
= [tex]\frac{1}{4}[/tex] x 84
= 21
b. [tex]\frac{24}{100}[/tex] x 200 = ?
100 goes in 200 , 2 times
24 x 2 = 48
c. [tex]\frac{10}{100}[/tex] of t = 5
[tex]\frac{10}{100}[/tex] x t = 5
[tex]\frac{t}{10}[/tex] = 5
t = 50
Help plzzz will give brainliest
Answer:
1/3 and false at least i think wait for other answer to make sure it is correct
Step-by-step explanation:
Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,16) and Y is uniformly distributed over (16,32]. Find the probability that the distance between the two points is greater than 9.
Solution :
Let us consider the squares be [tex]$[1, 16] \times [16, 32]$[/tex]
If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region[tex]$y-x \geq 9 \text{\ is}\ y - x = 9$[/tex] which goes from the [tex]$(7, 16 ) \text{ to}\ (16, 25) $[/tex].
And so it is easier to find the area of region where [tex]$ y-x \leq 9$[/tex]. This is the triangle with points [tex]$(7,16),(16,25) \text{ and}\ (16,16)$[/tex] as its vertices.
The area if the triangle is = [tex]$\frac{1}{2} \times 9 \times 9$[/tex]
= [tex]$\frac{81}{2}$[/tex]
Now the entire area is [tex]$(16)^2$[/tex] = 256
Then, [tex]$P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$[/tex]
or [tex]$P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$[/tex]
Thus the answer is [tex]$\frac{431}{512}$[/tex]
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centimeters, what is the length of the base, in centimeters?
Answer:
The base is 24 cm long.
Step-by-step explanation:
Equations
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]
And its value is 180:
[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]
Multiplying by 2:
[tex](h+9)h=360[/tex]
Operating:
[tex]h^2+9h-360=0[/tex]
Factoring:
[tex](h-15)(h+24)=0[/tex]
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
g(x) = 5x h(x) = - 11x ^ 3 + 10x ^ 2 - 2x + 5
Answer:
x(9x – 10).
Step-by-step explanation:
Write an equation to match this graph
Answer:
its y=x+7
Step-by-step explanation:
Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?
CAN SOMEONE PLEASE HELP ME ON THIS!!?
Answer:
w = 3.5
Step-by-step explanation:
What is the slope of the line on the graph?
Answer:
The slope would be 7.
Step-by-step explanation:
Count the number of spaces the line goes up from point A to point B.
Given:x+=9 prove x=4
Reasonable Answer:
If x is 4, then the answer is 13 or 5.
Step-by-step explanation:
9-4=5
For another reason it's 13.
4 minus 13 =9
~~~Hope this helps~~~:)
HELP ME ANSWER THIS PLEASEEE!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Apply the fraction rule,
Divide the Numbers,
Factor the Number, then cancel the common factor!
What happens when you press the enter key at the end of a line of bulleted text.
Answer:
when you use to typewriter, you have to use the carriage return at the end of every line In a typewriter, the fundamental unit of display,if you like,is a line. You type a line, then use the carriage return.
the fundamental unit a Word document is a paragraph.
When you use to word processor,such as Word, you don't use the carriage return at the end of every line. You just keep typing. Type type type. Word knows where the margins are. You can see the margins, too: the dotted rectangle on the page show you where they are. Just keep typing and Word will wrap the text within the margins.
Make sure you can see when you've pressed Enter by clicking the q button on the Standard Tollbar or on the Home tab. The q is the end-of-paragraph market.It shows you when you've pressed Enter
Press Enter to indicate the end of a paragraph,not the end of a line.
How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100
Answer:
You use decimal values. Like for the first one, multiply 100 by 0.01.
Step-by-step explanation:
The multiplication or division is 10^6/10^4
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
Given;
From 100 to 10^6;
100 * 10^4 = 10^6
From 100 to 90;
100/10*9=90
From 90 to 100
90/9*10=100
From 10^6 to 100
10^6/10^4=100
Therefore, by multiplication or division will be 10^6/10^4
Learn more about multiplication here:
https://brainly.com/question/26816519
#SPJ2
Can someone please help, ty!!
(Will mark brainliest)
Answer:
3rd one
Step-by-step explanation:
Answer:
1 AND 3 it was hard........
25 students are working in groups on a science project age group can have either two or three students in it what is the fewest number of groups there could be
Answer:
I believe 9
Step-by-step explanation:
25-21=4 (21 is 7×3)
4-4=0 (2×2)
The fewest number of groups are 9.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
25 students are working in groups on a science project, age group can have either two or three students in it.
To find the fewest number of groups:
25 divided by 3 we get remainder 1.
But 1 student can not form a group.
So, we have to find the remainder number that can form a group or groups.
25 divided by 3,
we get quotient 7 and 4 remainder.
And 4 means, 2 groups of 2 students in each.
That means, the number of groups are 7+2 = 9
Therefore, 9 is the required number.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
When dividing 39,100 by 100, the digits in the quotient will move how many places to the right?
When dividing 810,000 by 1,000, the digits in the quotient will move how many places to the right?
When dividing 360 by 10, the digits in the quotient will move how many places to the right?
Answer:
1. 2 places. 2. 3 places. 3. 1 place.
Step-by-step explanation:
1. Since there is 2 zeroes in 100, you move the digits 2 places to the right.
2. The same thing happens here, but with 3 zeroes.
3. The same happens, but with 1 zero.
You invested 50,000 in a bank that pays 4.5% monthly simple interest, How much do you have after 2.5 years?
Answer:
I trhink you´ll have 117000
my explanation:
4.5 × 12=54%
54%=1 year
54% + 54%
108% + 27%
135% =67000
67000 + 50000
which is the simplified form of the expression ((p^2)(q^5))^-4•((p^-4)(q^5))^-2
(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²
= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)
= p ⁻¹⁶ q ⁻²⁰
Pls ASAP solve this question
answer:
ii- 7
iii- 5
Step-by-step explanation:
sorry if its wrong im not for sure
A teacher kept track of what students consumed at a school picnic. For three grades, the ratios of the amount of water consumed to the amount of fruit juice consumed were equivalent
6th: 5 water 6 juice
7th 20 water ___ juice
8th 10 water ____juice
Answer:
the first one is 21 and the second one is 11
Step-by-step explanation:
I am not 100 percent sure
The amount $3.80 is 4% of what price?
Answer:
$95
Step-by-step explanation:
3.8=4%
100÷4=25
3.8×25
If it i´snt correct sorry :(
Answer:
$3.80 is 4% of $95.
Step-by-step explanation:
To solve this problem, divide 3.8 by 0.04.
3.8 / 0.04 = 95.
To check your math, multiply 95 by 0.04.
95 x 0.04 = 3.8
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Write the slope-intercept form of the equation for a line with slope 1/3 and y l-intercept at (0,-2/5
Answer:
y=1/3x-2/5
Step-by-step explanation:
Compare the degree of a polynomial and its depressed polynomial.
Answer:
The degree of a polynomial is one more than the degree of its depressed polynomial.
Step-by-step explanation:
3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;
Answer:
4) y = -1/2x + 1;
Step-by-step explanation:
maybe
or maybe not
A race car has gas mileage equal to 5.48 kilometers per liter. What is the car's gas mileage in miles per gallon?
Answer:
The probability that a car has a gas mileage between 29.8 and 30.3 miles per gallon is 0.0955
Step-by-step explanation:
Find the value of a and b in the following = a + b
can someone help please
Answer: m<10 less than 10 is the answer so it would be m<10
Step-by-step explanation:
Hi I’m confused marking Brainliest uhm show answer and show ur work pls thx
Answer:
See below.
Step-by-step explanation:
Total weekly salary:
regular weekly salary + amount from working over 40 hours
In one full week of 40 hours of work, you earn a regular salary of $340.
For each hour you work over 40 hours, you earn $12.50 per hour.
Let x = number of hours you work over 40 hours.
The amount you make from these extra hours is 12.5x
Your total weekly salary is
340 + 12.5x
You want your total weekly salary to be more than $490.
340 + 12.5x > 490
Answer:
answer
Step-by-step explanation:
a box can hold 3 1/3 pounds of gold a chest can hold 2 3/5 times the amount of the box. how many pounds can the chest hold
Answer:
[tex]\frac{26}{3}[/tex]pounds
Step-by-step explanation:
Given parameters:
Mass of gold in the chest box = [tex]3\frac{1}{3}[/tex]pounds
Unknown:
Number of pounds of gold the chest can hold = ?
Solution:
The chest can hold [tex]2\frac{3}{5}[/tex]times the amount of the box ;
So;
Number of pounds of the gold in the chest can hold;
= [tex]2\frac{3}{5}[/tex] times x Mass of gold in the chest box
= [tex]\frac{13}{5}[/tex] x [tex]\frac{10}{3}[/tex]
= [tex]\frac{26}{3}[/tex]pounds
Solve the inequality. |2x-6|+7 <15
Answer:
the answer to your questionis (-1,7)
I hope this helps
