Answer:
Coordinates of G = [tex](2,0)[/tex]
Step-by-step explanation:
Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).
To find: coordinates of G
Solution:
Midpoints of a side joining points [tex](a,b),\,(c,d)[/tex] are given by [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Diagonals of a parallelogram bisect each other.
So,
Midpoint of DF = Midpoint of EG
Midpoint of DF = [tex](\frac{-4+3}{2},\frac{-2+3}{2})=(\frac{-1}{2},\frac{1}{2})[/tex]
Midpoint of EG = [tex](\frac{-3+x}{2},\frac{1+y}{2})[/tex]
Let coordinates of G be [tex](x,y)[/tex]
Therefore,
[tex](\frac{-1}{2},\frac{1}{2}) =(\frac{-3+x}{2},\frac{1+y}{2})\\\\\frac{-1}{2}=\frac{-3+x}{2},\,\frac{1}{2}=\frac{1+y}{2}\\\\-1=-3+x,\,1=1+y\\\\x=-1+3,\,y=1-1\\x=2,\,y=0[/tex]
So,
Coordinates of G = [tex](2,0)[/tex]
Three friends, Maria, Sarah, and Ruth, spend $356.50, $365.50, and $356.60,
respectively, at a shopping mall. Calculate who spent the most?
Answer:
Im guessing ruth...
Step-by-step explanation:
not very clear on question
Which inequality is represented by the number line graph?
Answer:
We can also graph inequalities on the number line. The following graph represents the inequality x≤2 . The dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true.
Step-by-step explanation:
your welcome
Which equation represent the following situation : Andre withdrew
spending money from his checking account that initially had $982. What
was the amount of his withdrawal, w, if his ending balance was $922.
O 982 - w = 922
O W - 982 = 922
O 922 - W = 982
Answer:
Try 60
Step-by-step explanation:
982-922=60
FIND THE VALUE OF X PLEASE HELP ME
Answer:
x = 18
Step-by-step explanation:
4(18) = 72
2(18) - 10 = 26
4(18) + 10 = 82
72 + 26 + 82 = 180
Which inequality is true if p=3?
A. 3p <9
B. 13 < 4p
C. 5p > 15
D.8 > 2p
Answer:
D
Step-by-step explanation:
2×3 = 6 which is less than 8
--Please help, ill give 30 points and brainiest if your correct!!--
Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the results of their spin. The table lists how much a player receives or pays for various spins. What color has the greatest amount?
Red
Pays $5
Blue
Receive $4
Yellow
Pay $1
Green
Receive $3
Orange
Pay $2
Answer:
The amount in table as positive negative numbers: -5, 4, -1, 3, -2.
The spinner lands on red the change to Lisa's amount of money is -$5.
Step-by-step explanation:
Consider the provided table.
Part(A)
The table list how much a player receives or pays for various.
Paying some money is represented by a negative sign while receiving money is represented by a positive sign.
For red they needs to pay $5 which can be written as -5.
For blue they received $4 which can be written as 4.
For yellow they needs to pay $1 which can be written as -1.
For green they received $3 which can be written as 3.
For orange they needs to pay $2 which can be written as -2.
So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.
Part(B)
Now, we need to describe the change to Lisa’s amount of money when the spinner lands on red.
If spinner lands on red then she needs to pay $5.
Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.
What is the second step in solving the following equation?
-3x + 5 = 20
Subtract 5 from both sides
O Divide both sides by-3
o add 3x to both sides
O Divide both sides by 3
5/8÷1/3 do you now the answer
Answer:
15/8
Step-by-step explanation:
This is a fraction so when dividing fractions you can multiply by the reciprocal.
5/8*3/1= 5*3/8*1 = 15/8
Which equation is true for the value b= 10? OA 2(b + 4) = 16 B. 2(b + 2) = 40 3(b - 2) = 24 OD 2(8 + b) = 42 o E. 31b-4) = 20
Answer:
OC
Step-by-step explanation:
3(b-2)
3(10-2)
3(8)
24
A large cable company reports the following:
80% of its customers subscribe to its cable TV service.
44% of its customers subscribe to its Internet service.
29% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
23% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.
Consider the chance experiment that consists of selecting one of the cable company customers at random. Calculate the following probabilities.
A) P(cable TV only).
B) P(Internet | cable TV).
C) P(exactly services).
D) P(Internet and cable TV only).
Answer:
[tex]P(Cable\ TV\ only) = 50\%[/tex]
[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]
[tex]P(exactly\ 2\ services) = 23\%[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]
Step-by-step explanation:
Given
[tex]Cable\ TV = 80\%[/tex]
[tex]Internet = 44\%[/tex]
[tex]Telephone = 29\%[/tex]
[tex]Cable\ TV\ and\ Internet = 25\%[/tex]
[tex]Cable\ TV\ and\ Telephone = 20\%[/tex]
[tex]Internet\ and\ Telephone = 23\%[/tex]
[tex]All\ Services = 15\%[/tex]
Solving (a): A) P(cable TV only).
First, we calculate n(cable TV only)
This is calculated as:
[tex]n(cable\ TV\ only) = (Cable\ TV) - (Cable\ TV\ and\ Internet) - (Cable\ TV\ and\ Telephone) + (All\ Services)[/tex]
[tex]n(cable\ TV\ only) = 80\% - 25\% - 20\% + 15\%[/tex]
[tex]n(cable\ TV\ only) = 50\%[/tex]
The probability is:
[tex]P(Cable\ TV\ only) = \frac{n(Cable\ TV\ only)}{100\%}[/tex]
[tex]P(Cable\ TV\ only) = \frac{50\%}{100\%}[/tex]
[tex]P(Cable\ TV\ only) = 50\%[/tex]
Solving (b): P(Internet | cable TV).
This is calculated as:
[tex]P(Internet\ |\ cable\ TV) = \frac{Cable\ TV\ and\ Internet}{Cable\ TV}[/tex]
[tex]P(Internet\ |\ cable\ TV) = \frac{25\%}{80\%}[/tex]
[tex]P(Internet\ |\ cable\ TV) = \frac{25}{80}[/tex]
[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]
Solving (c): P(exactly 2 services).
This is calculated as:
[tex]P(exactly\ 2\ services) = (Cable\ TV\ and\ Internet - All) + (Cable\ TV\ and\ Telephone - All) + (Internet\ and\ Telephone - All)[/tex]
[tex]P(exactly\ 2\ services) = (25\% - 15\%) + (20\% - 15\%) + (23\%-15\%)[/tex]
[tex]P(exactly\ 2\ services) = (10\%) + (5\%) + (8\%)[/tex]
[tex]P(exactly\ 2\ services) = 23\%[/tex]
Solving (d): P(Internet and cable TV only).
This is calculated as:
[tex]P(Internet\ and\ cable\ TV \only) = \frac{(Internet\ and\ cable\ TV \only)}{100\%}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{100\%}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{1}[/tex]
[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]
If $5,000 is invested at 4% simple intrest for 30 years. what will be the total intrest earned in the 30 years?
Answer:$1.20
Step-by-step explanation: Find 4% of 30
I am using a calculator, but you can get the same result if you multiply .04 and 30
You should get 1.2 or $1.20
Which pair shows equivalent expressions?
A. 2x+10=-2(x-5)
B. -2(x-5)=2x-10
C. -2x-10=-2(x+5)
D. -2(x-5)=-2x-10
Answer:
its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.
The sum of 3 times the value of x and 2 is equal to less than 5 times the value of x. Which equation can be used to find the value of x?
A. 3x+2=4-5
B. 2x+3=4-5x
C. 3x+2=5x-4
D. None of these
sum is the answer to addition problem.
less than is subtraction and "times" is multiplication.
So we have
3x+2=5x-4
So the answer is C.
Also, i'm bored so imma solve it.
3x+2=5x-4
-2 -2
3x=5x-6
-5x -5x
-2x=-6
/-2 /-2
x=3
---
hope it helps
PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left $1.10 as a tip. The tax was 4% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
all info is needed answer of the total bill is:275 us
Step-by-step explanation:
10x1.10=11= tax
100/z=4/11
275
Pls help ASAP!!!!!!!!!!!!!!!!!!
Answer:
it is B
Step-by-step explanation:
i counted all the units for c, and B matches with what I got
:)
Answer:
the answer would be letter B
Who can solve this question?I will mark them as branlist.
Answer:
See below
Step-by-step explanation:
[tex] \overrightarrow a= \bigg(\frac{5}{\sqrt 34},\:\frac{3}{\sqrt 34}\bigg)[/tex]
We have to show that [tex] \overrightarrow a[/tex] is an unit vector.
To show this, we will find the modulus of [tex] \overrightarrow a[/tex] and if its value is 1, it will be a unit vector.
So,
[tex] | \overrightarrow a| = \sqrt{\bigg(\frac{5}{\sqrt 34} \bigg) ^{2}+\bigg(\frac{3}{\sqrt 34}\bigg)^{2} } \\ \\ | \overrightarrow a| = \sqrt{\frac{25}{ 34} +\frac{9}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{\frac{25 + 9}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{\frac{34}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{1} \\ \\ | \overrightarrow a| = 1[/tex]
Thus, [tex] \overrightarrow a[/tex] is a unit vector.
*!!!* please help me!! i’ll mark brainliest if the answer is right!
Answer
Roundworm is 9ft long and the tapeworm is 60 feet long
Step-by-step explanation:
If we turn this into an algebraic equation we get 8x-3=69 with 8x being x + 7x because we know that the tape worm is about 7 times longer than the round worm and the roundworms length would be x here. We have the -3 because it is 3 minus 7 times the total length. We do this and eventually end up with x = 9 which is the length of the roundworm. We multiply that by 7 to get 63 and subtract 3 to get 60. If you want to check if this is right do 60+9 and you'll get 69 which is the total of them end to end. (also 69 funny haha)
plz help me with this problem
Answer:
2/3 + 1/8 = 3/11 or 1-(2/3 + 1/8)=8/11
Step-by-step explanation:
To be honest addition or subtraction would be most used in theese types of problems so I think its 2/3 + 1/8 = 3/11 or either 1-(2/3 + 1/8)=8/11
What is the value of the t in the following equation? t + 1/4 = 2 7/12 A. t = 3/7 B. t = 1 2/3 C. t = 2 1/3
D. t = 3 2/3
Answer: it’s C
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Can someone help? :D
Answer:
I believe the answer is A
Step-by-step explanation:
Find three rational number between 2/3 and 3/4.
First pls
Answer:
21/30, 22/30, 23/30
Step-by-step explanation:
Help pls I don’t understand this my teacher didn’t teach this
Answer:
x = 60
Step-by-step explanation:
The tip of the triangle's angle is 100 (b/c 180-80)
x + 100 + 20 = 180
x + 120 = 180
x = 60
Answer:
Step-by-step explanation:
X=60
I need this for extra credit please!!
please answer this for me love
Answer:
Step-by-step explanation:
x-intercept is the 3rd box, and y-intercept is the 6th box
Represent the following Percent as a decimal, 87.5%
Evaluate the following integral using trigonometric substitution
Integral underroot dx/ 9-x^2
Answer:
The result of the integral is:
[tex]\arcsin{(\frac{x}{3})} + C[/tex]
Step-by-step explanation:
We are given the following integral:
[tex]\int \frac{dx}{\sqrt{9-x^2}}[/tex]
Trigonometric substitution:
We have the term in the following format: [tex]a^2 - x^2[/tex], in which a = 3.
In this case, the substitution is given by:
[tex]x = a\sin{\theta}[/tex]
So
[tex]dx = a\cos{\theta}d\theta[/tex]
In this question:
[tex]a = 3[/tex]
[tex]x = 3\sin{\theta}[/tex]
[tex]dx = 3\cos{\theta}d\theta[/tex]
So
[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}[/tex]
We have the following trigonometric identity:
[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]
So
[tex]1 - \sin^{2}{\theta} = \cos^{2}{\theta}[/tex]
Replacing into the integral:
[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C[/tex]
Coming back to x:
We have that:
[tex]x = 3\sin{\theta}[/tex]
So
[tex]\sin{\theta} = \frac{x}{3}[/tex]
Applying the arcsine(inverse sine) function to both sides, we get that:
[tex]\theta = \arcsin{(\frac{x}{3})}[/tex]
The result of the integral is:
[tex]\arcsin{(\frac{x}{3})} + C[/tex]
15 points!!!
Write an
equation of the parabola shown.
Answer:
y=1/2x-4
Step-by-step explanation:
find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,
Someone pls help me
Which is the equation of a line that has a slope of -7 and a Y intercept of 2
Answer:
y = -7x + 2
Step-by-step explanation:
Answer please .Give an explanation so I know ur not just getting points so I dont report. Thank you!
9514 1404 393
Answer:
B. 1.5 = 2p
Step-by-step explanation:
If p is the fraction of the price of a pizza, then 2p is the actual value of that fraction. We're told that is equal to the price of a hotdog, so ...
2p = 1.5
or
1.5 = 2p . . . . . . matches choice B
_____
Additional comment
Some of us would "cut to the chase" and compute the fraction directly:
p = (price of hotdog)/(price of pizza) = 1.5/2
No such choice is offered, so the next best is the equation you get when you multiply this by 2:
2p = 1.5