Answer:
[tex]\huge\boxed{P(2;\ -3);\ Q(4;\ -2)\ \text{and}\ R(-4;\ 8)}[/tex]
Step-by-step explanation:
[tex]A(x;\ y)\xrightarrow{S_{OY}}A'(-x;\ y)\\\\\text{The abscissa changes to the opposite:}\ x\to -x\\\\\text{Therefore}\\\\P(-2;\ -3)\xrightarrow{S_{OY}}P'(2;\ -3)\\\\Q(-4;\ -2)\xrightarrow{S_{OY}}Q'(4;\ -2)\\\\R(4;\ 8)\xrightarrow{S_{OY}}R'(-4;\ 8)[/tex]
4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
c.
Ex-3
d.
2x + 3 = 20
4 10
3
- 4x = -24
2(x - 4) = 10
-0.5x + 1.1 = -2.9
e.
f.
Answer:
a) 36
b) 8.5
c) 5/2
d) 6
e) 9
f) 8
Step-by-step explanation:
a) [tex]x \div 3 =12[/tex]
Multiply both sides by 3
[tex]x \div 3 =12\\3*(x \div 3) = 12*3\\x=36[/tex]
b) [tex]2x+3=20[/tex]
Subtracting 3 from both sides
[tex]2x+3-3=20-3\\2x=20-3\\2x=17\\x=\frac{17}{2}\\x=8.5[/tex]
c) [tex]\frac{4}{3}x=\frac{10}{3}[/tex]
Multiply both sides by 3/4
[tex]\frac{4}{3}x*\frac{3}{4} =\frac{10}{3} *\frac{3}{4}\\x=\frac{5}{2}[/tex]
d) [tex]-4x=-24[/tex]
Divide both sides by -4
[tex]-4x=-24\\\frac{-4x}{-4}=\frac{-24}{-4}\\x=6[/tex]
e) [tex]2(x-4)=10[/tex]
Divide both sides by 2
[tex]2(x-4)=10\\\frac{2(x-4)}{2}=\frac{10}{2}\\x-4=5\\Adding \ 4 \ on \ both \ sides\\x-4+4=5+4\\x=9[/tex]
f) [tex]-0.5x+1.1=-2.9[/tex]
Subtracting 1.1 on both sides
[tex]-0.5x+1.1-1.1=-2.9-1.1\\-0.5x=-4\\Divide \ both \ sides \ by \ -0.5\\\frac{-0.5x}{-0.5}=\frac{-4}{-0.5}\\x=8[/tex]
Please help! Step by step explanation, Graph the step function over the interval
HELP WITH THIS MATH!!! IM TIMED
Answer:
Table C)
Step-by-step explanation:
[tex]y=-x+3\\x+y=3\\Hence,\\Considering\ Table\ C\,\\Substituting\ x=-3,y=6\\6=3+3\\6=6 (LHS=RHS)\\\\Substituting\ x=0, y=3\\3=3 (LHS=RHS)\\\\Substituting\ x=3, y=0,\\0=-(3)+3\\0=0 (LHS=RHS)[/tex]
Answer:
the 3rd one :)
Step-by-step explanation:
area of the base of a pentagonal prism with a volume of 50 cubic centimeters and a height of 7.5 centimeters
Answer:
Step-by-step explanation:
V = B * h
50 cm^3 = B * 7.5 cm
B = 50 / 7.5
B = 6.67 cm^2
Answer:
375
Step-by-step explanation:
Area= b*h
50*7.5=375
Calculate the variance of the following set of data.
3, 33, 303, 233, 3, 73, 83, 63
Answer:
its 12084
Step-by-step explanation:
on my test
Variance is the measurement of the spread between numbers in a given set of data.
The variance for the set is 12083.929
What is a variance?It is the measurement of the spread between numbers in a given set of data.
We have,
3, 33, 303, 233, 3, 73, 83, 63
The formula to find variance:
Find the means of the set of data.
Find the deviation of the set of data from the mean.
Find the sum of the squares of the mean deviations.
Divide the sum of the squares of the mean deviations by (n-1)
where n is the number of data in the set.
The mean:
= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8
= 794/8
= 99.25
Deviation from the mean:
3 - 99.25 = -96.25
33 - 99.25 = -66.25
303 - 99.25 = 203.75
3 - 99.24 = -96.25
73 - 99.25 = -26.25
83 - 99.25 = -16.25
63 - 99.25 = -36.25
The sum of the squares of Mean deviation:
= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314
= 84587.5
The variance:
= 84587.5 ÷ (8 - 1)
= 84587.5 / 7
= 12083.929
Thus,
The variance for the set is 12083.929
Learn more about variance here:
https://brainly.com/question/13708253
#SPJ2
Write the period and amplitude of each function.
Y=sin x
15 points for answer and brainliest answer for correct answer. Question up above
Answer:
i think its 48
Step-by-step explanation:
u can split it into 2 triangles
A backpack is normally $64.99 but is discounted ti $45.49. What percent of the original does Maria pay?
Answer:30%
Step-by-step explanation:
For a new customer, a video store charges $10 for a rental card plus $2 per movie. Using the linear equation (y=mx+b) you wrote, find the cost for a new customer to rent 6 movies.
Given:
Charges for rental card = $10
Charges for movie = $2 per movie
To find:
The linear equation for given situation and find the cost to rent 6 movies.
Solution:
Let y be the total cost for x number of movies.
Cost of one movie = $2
Cost of x movies = $2x
Total cost = Charges for rental card + Charges for x movies
[tex]y=10+2x[/tex]
Put x=6 to find the cost of 6 movies.
[tex]y=10+2(6)[/tex]
[tex]y=10+12[/tex]
[tex]y=22[/tex]
Therefore, the total cost for a new customer to rent 6 movies is $22.
y=4x+3 y=-x -2 I need help please
Answer:
y = mx + b
Step-by-step explanation:
Plzzzzz Help!!!!Find an equation for the perpendicular bisector of the line segment whose endpoints are (8,4) and (4,-4)
Answer:
y = 2x -12 to find any equation to the perpendicular line x=0
Step-by-step explanation:
find the slope to the original line using the slope formula , then take the opposite reciprocal = -1/2
which is greater 3/10 or 3%
Can someone answer this?
Indirect proof and inequalities in triangles Geometry
Answer:
1 and 3
Step-by-step explanation:
and the bottom is 4
5 bananas cost 2.95 how much would 27 bananas cost
Answer:
78 dollars and 3 cents
Step-by-step explanation: use a calculator
Answer:
15.93
Step-by-step explanation:
each banana costs 0.59 so you multiply 27 times 0.59 = 15.93
I NEED HELP PLEASE: If x and y are proportional, fill in the blank with a number in simplest form.
Write in index form
9x9x9
Answer: 9^3 or 9 by the power of 3.
Step-by-step explanation:
Please help thank you
Answer:
Step-by-step explanation:
A: quotient
B: dividend
C: divider
How do I do this? And what’s the answer??
Answer:
its asking you what the slope of the line is (rise/run) and for the point at which the line crosses the y axis (verticle line)
Step-by-step explanation:
When finding the slope you count the number of units up and the number of units across. This would be -1/1 or -1 because the graph shows a scale of 100, and the slope is going down 100, and across 100. this makes the slope negative since it's going downwards. so the slope would be -100/100 which would simplify to -1.
the y-intercept is where the line crosses the y axis. if this point is below the x-axis, then the y-intercept would be negative. in this problem however, the line crosses the y-axis at the origin (0,0)
so your equation would be y=1x+0, but simplified it would be y=x (the one isnt used because there is a single x value and the +0 is gone because it holds no value)
Camilla bought a book that was on sale for 25% off the retail price. The retail price of the book was $12. What was the price Camilla paid for the book?
Answer:
The price that Camilla paid for the book was $9.
Step-by-step explanation:
To be able to find the pice that Camilla paid for the book, first, you have to calculate the 25% of the price of the book:
$12*25%=$3
Now, you have to subtract that amount from the price of the book:
$12-$3=$9
According to this, the answer is that the price that Camilla paid for the book was $9.
10+10*10-100 try to do it
Answer:
the correct answer is 10 have a brilliantaa day
Step-by-step explanation:
whats the solution to 4(0.8x+2.5)<2(0.125x-0.9)
Answer:
x<−4
Step-by-step explanation:
math
How many apples are on 1 tree?
#
Please help
of # of
Trees Apples
2 26
3 39
6 78
10 130
12 146
13 apples
26 apples
06 apples
10 apples
The answer is 13 applrs
Answer:
13 apples
Step-by-step explanation:
Estimate 7 x 522 ...
Answer: 7 x 522= 3654
Step-by-step explanation: The answer is esimated to 3653. I don't know if this will help, but hope it does. Thank you
HELPPPPPPPPP ASAPPPPPPPP PLSSSS
-1/3(px-2) = 9
ok! so first we want to isolate x.
multiply both sides by -3/1 (this is the reciprocal of -1/3)
(px-2) = -27
px = -27 + 2
px = -25
x = -25/p
hope this helped!
Find the volume of a cylinder with a height of 8cm and a radius of 3cm
Answer:
V≈226.19cm³
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
V = (pie) * 3 *3 * 8
V = 72 pie cm (3)
Its on a p e x
Some one please help me on this
Answer:
5/6
Step-by-step explanation:
What must be true in order for two triangles to be similar?
Answer:
All their angles must be equal and of the same ratio.
Step-by-step explanation:
Answer:
Equal Angles/Equal sides
Step-by-step explanation:
CAN ANYONE DO IT PLEASE.
Answer:
85°Step-by-step explanation:
see attached image
The ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.
Answer:
Yes, they are equivalent
Step-by-step explanation:
Case 1,
Distance = 250 miles
Time = 4 hours
Ratio = speed = distance/time
= 250 miles/4 hour
= 62.5 mph
Case 2,
Distance = 500 miles
Time = 8 hours
Ratio = speed = distance/time
= 500 miles/8 hour
= 62.5 mph
In both cases, the ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.
WHAT IS THE SLOPE? !! WILL GIVE BRAINLIEST
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points
Answer:
Step-by-step explanation:
2/3 is your slope.