Determine whether PQ and UV are parallel,
perpendicular, or neither.
1.P(-3,-2), Q(9,1), U(3,6), V(5,-2)
2.P(-10,7), Q(2,1), U(4,0), V(6,1)
3.P(1,1), Q(9,8), U(-6,1), V(2,8)
4.P(-4,0), Q(0,3), U(-4,-3), V(8,6)
5.P(-9,2), Q(0,1), U(-1,8), V(-2,-1)
Answers
Answer:
The answer is below
Step-by-step explanation:
The slope of a line (m) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.
1)
[tex]Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4} \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4[/tex]
Since the product of their slope is -1, they are perpendicular
2)
[tex]Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2} \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}[/tex]
Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular
3)
[tex]Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8} \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}[/tex]
Since the slopes are the same, they are parallel
4)
[tex]Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4} \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}[/tex]
Since the slopes are the same, they are parallel
5)
[tex]Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9} \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9[/tex]
Since the product of their slope is -1, they are perpendicular
Answer:
9
Step-by-step explanation:
Related Questions
Here's a graph of a linear function. write the equation that describes that function.
Answers
Answer:
Step-by-step explanation:
slope intercept form => Y = mx + b
find m... the slope by using any two points on the line
p1 = (0,5) by inspection
p2=(4,6) by inspection
find m = y2-y1 / x2-x1
m = 6 - 5 / 4 - 0
m =1 / 4
then use the slope intercept formula
y = 1/4x + 5 for your answer. we know b = 5 b/c thats where the line crosses the y axis.
y = [tex]\frac{1}{4}[/tex]x + 5 is the answer
Make a table of values for f(x) after the given translation 3 units up
Answers
Answer:
In this case, we do not have the table, so i will answer in a general way:
First, let's describe the transformation.
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Then a shift of 3 units up, is written as:
g(x) = f(x) + 3
This would be translated to the table in the next way:
You need to add 3 to all the values of y (or f(x)) in the table:
So if for example, the original table was:
x f(x)
0 5
1 7
2 10
3 15
The table of the transformation will be:
x g(x)
0 5 + 3 = 8
1 7 + 3 = 10
2 10 + 3 = 13
3 15 + 3 = 18
2.25 + 65.47 + 2.333
Answers
Answer:
The answer is 70.05300.
Determine the x-intercept of the line whose equation is given: y = x/2 - 3
a. (6,0)
b. (-6,0)
c. (0, 3/2)
d. (- 3/2,0)
Answers
Answer:
(6,0)
Step-by-step explanation:
To find the x-intercept, plug in 0 for y (because the x intercept is on the x axis) and find x.
0 = x/2 - 3
3 = x/2
x = 6
20 POINTS
The price of a car has been reduced from $24,000 to $14,880. What is the percentage decrease of the price of the car?
Answers
Decrease of price = $24,000 - $14,880
=> $9,120
Percentage decrease = 9120/24000×100
=> 38%
What is the value of x?
Answers
Answer:
the value of X is 10x
Step-by-step explanation:
Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-intercept of -2.
Find the slope of both lines. In the answer box give the slope of the steeper line.
Answers
Answer:
The linear equation in the slope-intercept form will be:
[tex]y\:=\:\frac{2}{3}x+64[/tex]
Step-by-step explanation:
From the line graph, taking two points
(21, 78)(27, 82)Finding the slope between (21, 78) and (27, 82)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(21,\:78\right),\:\left(x_2,\:y_2\right)=\left(27,\:82\right)[/tex]
[tex]m=\frac{82-78}{27-21}[/tex]
[tex]m=\frac{2}{3}[/tex]
We know that the slope-intercept of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
substituting (21, 78) and m = 2/3 in the slope-intercept of the line
[tex]y = mx+b[/tex]
[tex]78=\frac{2}{3}\left(21\right)+b[/tex]
switch sides
[tex]\frac{2}{3}\left(21\right)+b=78[/tex]
[tex]14+b=78[/tex]
[tex]b=64[/tex]
substituting b = 64 and m = 2/3 in the slope-intercept of the line
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{2}{3}x+64[/tex]
Therefore, the linear equation in the slope-intercept form will be:
[tex]y\:=\:\frac{2}{3}x+64[/tex]
you can buy 3 candy bars at the quick market for 2.17. how many candy bars can you buy with 17.36?
Answers
BRAINLIEST TO CORRECT ANSWER!
The amount of energy taken in by a plant in the form of solar radiant energy, should be equal to the sum of the amount of energy that the plant uses in life processes such as growing and respiration.
Group of answer choices
True
False
Answers
Answer:
True
Step-by-step explanation:
In order to grow, a plant needs all the radient energy that it can get.
Someone help me please
Answers
Please friend I do not know
The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d
from the source of the sound.
A person 14 feet from a jetski, it is 85 decibels loud.
How loud is the jetski when the person is 41 feet away? (Round to 3 decimal places.)
dB
Answers
Answer:
L = 9.91 decibels.
Step-by-step explanation:
The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.
i.e L [tex]\alpha[/tex] [tex]\frac{1}{d^{2} }[/tex]
L = [tex]\frac{k}{d^{2} }[/tex]
Where k is the constant of proportionality.
When d = 14 feet and L = 85 dB, then;
k = L x [tex]d^{2}[/tex]
= 85 x [tex](14)^{2}[/tex]
= 16660
k = 16660
L = [tex]\frac{16660}{d^{2} }[/tex]
Thus, when d = 41 feet, then;
L = [tex]\frac{16660}{(41)^{2} }[/tex]
= [tex]\frac{16660}{1681}[/tex]
= 9.91077
L = 9.91 dB
The loudness is 9.91 decibels.
create an equivalent expression for 4t-18-t+2t+20
Answers
Answer:
5t + 2
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
4t - 18 - t + 2t + 20
Step 2: Simplify
Combine like terms (t): 5t - 18 + 20Combine like terms (Z): 5t + 2Answer:
5 t + 2
That's the answer
Five times the sum of a number and 7 is 3 more than the double of a number. Find the number.
Show all work.
Please I will make you BARINLIEST!
Answers
Step-by-step explanation:
5 = x + 3. The product of 2 times a number is 10. 2x = 10. One half a number is 10 x/2 = 10. Five times the sum of x and 2 5(x + 2). Seven is greater than x.
Answer:
35
Step-by-step explanation:
This is how you can solve for the missing number that is doubled: ( x )
7 = 3 + 2x
7 ( -3 ) = 3 ( -3 ) + 2x
4 = 2x
4 ( /2 ) = 2x ( /2 )
2 = x
This is how you solve for the number the question is asking for: ( y )
y = 5 ( 3 + 2x )
y = 5 ( 3 + 2 ( *2 ))
y = 5 ( 3 + 4 )
y = 5 ( 7 )
y = 5 * 7
y = 35
(1 point) Find the size of the sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want 9595% confidence that the error is smaller than 0.03.
Answers
Answer:
The size of the sample = 1088.90
Step-by-step explanation:
Given that:
The confidence interval level = 0.95
The margin of error = 0.03
Suppose the proportion of the boys and the girls are p₁ and p₂ respectively.
The Standard error S.E of difference is:
[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{p_1(1-p_1) }{n} + \dfrac{p_2(1-p_2)}{n} }[/tex]
Assume p₁ = p₂ = 0.5
[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{0.5(1-0.5) }{n} + \dfrac{0.5(1-0.5)}{n} }[/tex]
[tex]S.E (p_1-P_2) =\dfrac{0.70711}{\sqrt{n}}[/tex]
The z-critical value at 95% C.I = 1.96
Margin of error = Z_{critical} × S.E
∴
[tex]0.03 = 1.96 \times \dfrac{0.70711}{\sqrt{n}}[/tex]
[tex]n =\dfrac{\left(1.96\ \cdot\ 0.70711^{2}\right)}{0.03^{2}}[/tex]
n ≅ 1088.90
A microwave is priced at $320.50. There is a 4% sales tax rate. What is the sales tax for the microwave in dollars and cents?
Answers
Answer:
$333.32 hope this helps have a nice day please give me brainliest :)
Step-by-step explanation:
Tim flips a weighted coin 6 times and gets 2 tails. What is the experimental probability that the next flip will come up tails?
Answers
Answer:
1/3
Step-by-step explanation:
bc 2/6 reduces to 1/3
will give brainliest plz help me!
Answers
Answer:
II and III
Step-by-step explanation:
Write the ratio of height of the building to the number of floors. Then, find the unit rate, and explain what it means in this situation. Fill in the correct answers to complete the sentences.
The ratio of height of the building to the number of floors is nothing. The unit rate is nothing. This means that each floor of the building is nothing ft high.
Answers
Answer:
I love a building that's nothing feet high
Step-by-step explanation:
Can that building be my new home?
A line passes through the point (4, -6) and has a slope of 4. Which is the equation of the line?
Answers
Answer:
It is even clearer if we put it in the chart
A and B are similar cuboids.
surface area of A: surface area of B = 25 : 36
Work out volume of A: volume of B
A 5:6
B 125 : 216
C 25 : 36
D 625 : 1296
Answers
Answer:
B. 125 : 216Step-by-step explanation:
Surface area of cuboid A with side a is:
6a²Same for cuboid B with side b:
6b²Ratio of surface areas:
6a² : 6b² = 25 : 36 ⇒a² : b² = 25 : 36 ⇒a : b = 5 : 6Volumes of A and B are:
a³ and b³And their ratio is:
a³ : b³ = 5³ : 6³ ⇒a³ : b³ = 125 : 216Correct option is B
Answer:
B. 125 : 216
Step-by-step explanation:
How many quarts of pure antifreeze must be added to 8 quarts of a 20% antifreeze solution to obtain a 30% antifreeze solution?
(Round to the nearest tenth as needed.)
Answers
9514 1404 393
Answer:
1.1 quarts
Step-by-step explanation:
Let x represent the amount to be added, in quarts. Then the amount of anti-freeze in the resulting solution is ...
0.20(8) + 1.00(x) = 0.30(8 +x)
0.70x = 0.10(8) . . . . . . subtract 0.20(8)+0.30(x)
x = 8/7 . . . . . . . . . . . . . divide by the coefficient of x
x ≈ 1.142857 ≈ 1.1
About 1.1 quarts of pure antifreeze must be added.
Carl button airline ticket two weeks ago the cost of this flight was $300 what is the percent increase
Answers
Answer the following question please
Answers
Answer:
∠MON = 98°
Step-by-step explanation:
It is given that ∠LON is a straight line.
∠MON = 3x+89
and
∠LOM = 8x+58
If LON is a straight line. It means,
∠MON + ∠LOM = 180 (Linear pair)
Putting values,
3x+89 + 8x+58 = 180
11x + 147 = 180
11x = 180-147
11x = 33
x = 3
So, ∠MON = 3(3)+89
= 9+89
= 98
Hence, the value of ∠MON is equal to 98°.
3x2 + 6x + 3
Factor out the GCF
Answers
Answer:
[tex]3( {x}^{2} + 2x + 1)[/tex]
Hope this helps!
2/5 divided by 1 7/8
Answers
0.21333333333
answer:
Answer:
0.213
Step-by-step explanation:
I used a calculator :)
Which unit price is the highest?
turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
celery for $1.48 per pound
Please help me out!
Answers
Answer:peppers
Step-by-step explanation:
Answer:
peppers for $1.62 per pound
Step-by-step explanation:
i took the test
The school principal is designing a square courtyard outside of the school, separated into 4
equal spaces. She wants to know the total area of the courtyard.
what is the total area if each smaller space is 5 feet on each side
Answers
Answer:
Students will gain an appreciation for the study of mathematics. In ... (I.3.6) The area of the surface of a sphere is described by the formula
Step-by-step explanation:
Correct me if I'm wrong! :)
Answer:
Its 100
Step-by-step explanation:
I took the quiz and got it right
Arianna has $0.70 worth of nickels and dimes. She has 4 more dimes than nickels. By
following the steps below, determine the number of nickels, x, and the number of
dimes, y, that Arianna has.
Determine three ways to have 4 more dimes than nickels:
Who can solve this for me?
Answers
Answer:
x=2 and y=6
Step-by-step explanation:
thee isn't any other way im sorry but there isn't here is a list:
1 nickel = $0.05 and 5 dimes =$0.50 = $0.55
2 nickels = $0.10 and 6 dimes = $0.60 = $0.70
3 nickels = $0.15 and 7 dimes = $0.75 = $0.85
4 nickels = $0.20 and 8 dimes = $0.80 = $1.00
5 nickels equal $0.25 and 9 dimes equals $0.90 = $1.15
so as you can see the more you add the higher the number gets and if its any lower it won't be enough sorry if you really needed that last part
Decide which estimate is closer to the actual answer. Explain your reasoning as store bought 25lb of produce if store spent $110.90 about how much does the produce cost per pound in dollars? 0.04,0.4,4,40 (b) a 6 pack of juice boxes contains 54.6 oz of juice in total about how many ounces of juice does each juice box contain ? 0.9,9,90,900 (c) in 20 L of air there is about 0.42 L of carbon dioxide about how many liters of carbon dioxide are there in 1 L of air 0.02,0.2,2,20
Answers
I need help I don’t understand number lines
Answers
Answer:
Well according to the number line shown, it is in the negative area and if you see this it is near -6.5, all you need to do is count the spots until it hits the circle which is -6.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
- 6.8.... just count the tenths marks.. 6.1,6.2,6.3... ect, ect