Which lines are perpendicular to 3x + 6y = 5? Select all that apply.
A. 3x + 6y = 10
B. y = 2x - 1
C. y - 4 = 2(x + 7)
D. x - 2y = -6
The lines which are perpendicular to 3x + 6y = 5 are; Choice B and C; y = 2x - 1 and y - 4 = 2(x + 7).
Perpendicular linesFrom the task content, it follows that the given equation is; 3x+ 6y = 5.
By rewriting the equation in slope intercept form; it follows that; y = (-1/2)x +5/6. Hence, the slope of the line is; -1/2.
From line geometry, it follows that two lines are perpendicular if; m1 × m2 = -1.
Therefore, a line perpendicular to the given line will have a slope of 2.
From the given option, the lines which are perpendicular to 3x + 6y = 5 upon conversion to the Slope-intercept form are; Choice B and C.
Read more on perpendicular lines;
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PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry I
Answer:
4/8.1 is the answer.
Step-by-step explanation:
sin Θ = opposite side / hypotenuse
sin ∠F = 4/8.1
Answer: 4/8.1
Step-by-step explanation:
SOH CAH TOA
So son uses opposite and hypotenuse
Opposite from the angle of DFE is 4 and hypotenuse is 8.1 so
sin-1(4/8.1)= angle DFE
Which expression is equivalent to c - 5 - 9c
Answer:
c - 9c - 5
-8c - 5
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Natalie is playing the Integer Game and only shows you the four cards shown below. She tells you that the rest of her cards have the same values on them and match one of these four cards.
Missing part of question
(a) If all matching cards will increase her score by 18, what are the matching cards
(b) If all matching cards will decrease her score by 12, what are the matching cards
See attachment for cards
Answer:
(a) 9 card number 2 or 6 card number 3
(b) 6 card number -6
Step-by-step explanation:
Given
The number on the cards are: 2, 3, -6 and 4
Solving (a): An increment of 18
From the card numbers attached, there are 3 positive numbers and 1 negative number
If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.
Next, for a card number to give an increment of 18; the card number must be a factor of 18.
So, we have:
[tex]\frac{18}{2} = 9[/tex]
[tex]\frac{18}{3} = 6[/tex]
[tex]\frac{18}{4} = 4.5[/tex]
Only 2 and 3 are factors of 18.
So, Natalie cards are: 9 card number 2 or 6 card number 3
Solving (b): A decrement of 12
If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.
Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)
So, we have:
[tex]\frac{-12}{-6} = 2[/tex]
So, Natalie cards are: 6 card number -6
Help me pls pls help
Answer:
The last one
Step-by-step explanation:
This is because 8x2 is doubling8 and then it also asks to multiply 4 and 2
Lastly it says subtract second number from first which means subtract 4 by 2 from 8 by 2
Hope this makes sense
In Las Vegas, a particular sports bet has about a 30% chance of winning. If the bet wins, the bettor will win 15
dollars. If the bet loses, the bettor will lose 10 dollars.
The expected return of placing one of these bets is -2.50 dollars.
Which of the following statements are true?
Choose all answers that apply:
The average return per bet from 2 of these bets must be exactly -2.50 dollars.
It is possible for a bettor to place 2 of these bets and win both of them.
If a bettor places a large number of these bets, they should expect to average a return of about
-2.50 dollars per bet.
Answer:
b and c
Step-by-step explanation:
i got it right on my khan academy
PLEASE HELP ILL GIVE BRAINLY
Answer:
40.2
Step-by-step explanation:
Please help me in math
1. x[tex]\\1. x_{1}=-4, x_{2}=-3\\2. x_{1}=-4, x_{2}=9\\3. x_{1}=-5, x_{2}=8\\4. x_{1}=-4, x_{2}=1.5\\5. x_{1}=-4, x_{2}=4\\6. x_{1}=2, x_{2}=4\\7. x_{1}=1.75, x_{2}=1.75\\8.x_{1}=-\sqrt{7}-6 , x_{2}=\sqrt{7} -6\\9. x_{1}=-2, x_{2}=1\\1. x_{1}=-8, x_{2}=8[/tex]=-4, x2=-3
2.
Describe how to find what value of x must be to minimize the function f(x) = 9x^{2} - 36x + 32 using factoring.
Answer: x=2, f(x)=-4
Step-by-step explanation:
Given
[tex]f(x)=9x^2-36x+32[/tex]
Solving it, add and subtract 4 to it
[tex]\Rightarrow f(x)=9x^2-36x+36-4\\\Rightarrow f(x)=(3x)^2+(6)^2-2\times 3x\times 6-4\\\Rightarrow f(x)=(3x-6)^2-4\\\\\text{here minimum value of }\ (3x-6)^2\ \text{is 0 for x=2}\\\text{so mnimum value of }\ (3x-6)^2-4\ \text{is}\ -4[/tex]
Answer: after you factor use the results (3x-6)^2 - 4 to find the minimum X value but picking a number for the X value to solve to 0.
Step-by-step explanation:
Plug x=2 into the equation and it solves to 0 leave out the -4 because this is the y value
volume of cylinder in terms of pi
6cm radius
5cm height
Answer: V≈565.49
Step-by-step explanation:
V=πr2h=π·62·5≈565.48668
PLSS ANSWER WILL GIVE BRAINLIEST IF RIGHT
3 presents.
Reason:
12 divided by 2 is 6, and 18 divided by 3 is also 6, meaning that he will be able to wrap 3 presents.
Answer:
Answer is 3 presents
Step-by-step explanation:
12 centimeter tape used for 2 presents
1 centimeter tape used for [tex]\frac{2}{12}[/tex] presents
18 centimeter tape used for 18 × [tex]\frac{2}{12}[/tex] presents
= 3 presents
How can this expression be written another way?
30x + 100
Factor using the distributive property and the greatest common factor to write an equivalent expression.
options:
10 (3x + 10)
30 (x + 100)
100 (30x)
100x + 30
Answer:
option 1:
Step-by-step explanation:
10 (3x + 10)
Find the 31st term 13,22,31,...
Answer:
The answer is 5
Step-by-step explanation:
Answer: an=9n-5
Step-by-step explanation:
that would leave you with the answer 5 !
i hope this helped! C:
What is the sum of the interior angles of the following convex polygon?
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.......
Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.
Hope it helps!
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If there are 420 woman and 330 men what are their %?
Answer:
Answer: Pct women = 56%; pct men = 44%
Step-by-step explanation:
Pct men = total men/total people * 100
men = 750-420 = 330
Pct men = 330/750 *100 = 11/25 *100 = 0.44 * 100 = 44%
.
Pct women = 100% - 44% = 56%
.
Check the answer by checking the percentage of women.
women = 420
Pct women = 420/750 * 100 = 14/25 = 56%
Correct.
.
Answer: Pct women = 56%; pct men = 44%
A line has a slope of zero. Which of the following points could this line pass through?
A.(-9, 7) and (9,-7)
B(1, 4) and (3,7)
C. (2,-5) and (6,-5)
D.(1, 2) and (10, 12)
Answer:
C
Step-by-step explanation:
slope 0 means same y
so C (y is -5 for both)
if my answer helps please mark as brainliest.
Answer:
C
Step-by-step explanation:
A line with slope of zero means that the y value doesn't change like the x axis. so we'll need to find points that even though they have different x values, they have the same y value. That. being said C is the answer
Divide. Write your answer as a fraction or a mixed number in simplest form.
3 3/4 divided by 1 1/8
Answer:
I used a calculator.
Step-by-step explanation:
mixed number form 3 1/3
exact form 10/3
The cost of a gym membership is a onetime fee of $140, plus a monthly fee of $40, Brendan wrote a check for $500 to pay his gym membership for a certain
number of months, including the onetime fee. How many months of the members did he pay?
Answer:
9 months
Step-by-step explanation:
Given data
One time fee= $140
Monthly fee= $40
Total amount of check = $500
The expression that describes the situation is given as
y=mx+c
where y= the total amount of the check
m= the monthly fee
x= the number of months
c= the one time fee
Substitute
500=40x+140
500-140=40x
360=40x
x= 360/40
x=9
Hence the number of months is 9 months
Show me how to solve step by step please
Answer:
188
Step-by-step explanation:
88 + 6= 94
94 + 94 = 188
188 divided by 2 = 94
94 - 6 = 88
88 was how much Paula paid
Find the midpoint of the segment below.
Plz help me
Answer:
0.5 , 1
Step-by-step explanation:
In a class there are x amount of students. z amounts of these students are ( y+1 ) years old. The rest of the students are y years old. Write an expression for the sum of all their ages. Simplify.
x = y + z
To simplify,
substitute z = y + 1
x = y + y + 1
x = 2y + 1
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If heat transfers from hot to cold, and stops when two objects reach the same temperature, explain why it is possible for the inside of your car to be hotter than the air outside on a hot summer day.
Does a gas give off or absorb energy when it turns into a solid? Explain your answer.
You dont have to answer both just helping me with one would help me out!!! :)
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Answer:
1. Consider a hot pot taken off the stove and placed on a tile countertop. At first it cools quickly. As it cools, the difference in temperature between the pot and the room air becomes less, and so it takes a long time for the pot to lose enough heat to match room temperature. Two objects at the same temperature are said to be in equilibrium.
2. When a liquid changes into a gas it absorbs energy. When it changes into a solid it gives off energy...If a solid (dry ice for example) is allowed to sublimate into a gas, it absorbs heat - that's why it feels cold when you touch ice. So, if a gas changes into a liquid, it give off heat as an opposite effect. Anytime you compress a gas, it gets warmer.
Translate each inequality
"18 less than the quotient of a number and -5 is no less than 31"
Answer:61
Step-by-step explanation:
A pan is heated to 409°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 71°F. The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes. D = 338e^-0.03t What is the approximate temperature of the pan after it has been away from the heat for 8 minutes? A. 336.9°F B. 500.7°F C. 265.9°F D. 194.9°F
Answer: C. [tex]265.9^{\circ}F[/tex]
Step-by-step explanation:
Given: The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes.
[tex]D = 338e^{-0.03t}[/tex]
At t= 8 minutes, we get
[tex]D = 338e^{-0.03(8)}\\\\\Rightarrow\ D = 338e^{-0.24}\\\\\Rightarrow\ D = 338(0.786627861067)\\\\\Rightarrow\ D = 265.88\approx265.9^{\circ}F[/tex]
The approximate temperature of the pan after it has been away from the heat for 8 minutes= [tex]265.9^{\circ}F[/tex]
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Step-by-step explanation:
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1
The double box-and-whisker plot shows the test scores earned in Ms. Ricks' first and second period classes. Based on the
information presented, select all the statements that correctly compare to the two classes,
Test Scores
1st Period
2nd Period
50 55 60 65 70 75 80 85 90 95 100
A The highest score was obtained in Ms. Ricks' second period class.
B The lowest score was obtained in Ms. Ricks' first period class.
C The Interquartile Range (IQR) is higher in Ms. Ricks' first period class.
D The Interquartile Range (IQR) is higher in Ms. Ricks' second period class.
EMs. Ricks' first period scored better overall than second period.
F Ms. Ricks' second period scored better overall than first period.
Answer:
B and c and also f is the answer
1st Period: Minimum = 60, Lower Quartile = 75, Median = 80, Upper Quartile = 90, Maximum = 98
* Range = 98-60 = 38; *Interquartile Range = 90-75 = 15
2nd Period: Minimum = 70, Lower Quartile = 80, Median = 85, Upper Quartile = 91, Maximum = 95
* Range = 95-70 = 25; *Interquartile Range = 91-70= 21
Correct Answers: B, C, F
B - lowest score was a 60 in first period
C - IQR in 2nd period is 21, which is higher than 15 in first period
F - Approximately 75% (Q1-Q3) of first period scores are higher than 75% (Q1-Q3) of second period.
Correct answers are :-
B - lowest score was a 60 in first period
C - IQR in 2nd period is 21, which is higher than 15 in first period
F - Approximately 75% (Q1-Q3) of first period scores are higher than 75% (Q1-Q3) of second period.
What is statistics?The practice or science of collecting and analysing numerical data in large quantities, especially for the purpose of inferring proportions in a whole from those in a representative sample.
1st Period: Minimum = 60, Lower Quartile = 75, Median = 80, Upper Quartile = 90, Maximum = 98
* Range = 98-60 = 38; *Interquartile Range = 90-75 = 15
2nd Period: Minimum = 70, Lower Quartile = 80, Median = 85, Upper Quartile = 91, Maximum = 95
* Range = 95-70 = 25; *Interquartile Range = 91-70= 21
Hence the solutions are:-
B - lowest score was a 60 in first period
C - IQR in 2nd period is 21, which is higher than 15 in first period
F - Approximately 75% (Q1-Q3) of first period scores are higher than 75% (Q1-Q3) of second period.
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Evaluate the expression (3 + m)^3 , when m=2
Answer:
the answerrrrrrrrrrr is 27+54m+36m^2+8m^3
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
Answer:
11.6m
Step-by-step explanation:
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
We solve the above question using the Trigonometric function of Sine.
sin θ = Opposite/ Hypotenuse
Hypotenuse = Length of the ladder = 13.5m
Opposite = d
θ = 59° 22'
= 59° + 22/60
= 59° + 0.367
= 59.367°
Hence,
sin 59.367 = d/13.5m
d = sin 59.367 × 13.5m
d = 11.616057416m
Approximately = 11.6m
Therefore, the distance d the ladder goes up the wall is 11.6m
17. Find the volume of the rectangular prism. (1p Not drawn to scale.
Answer:
The answer is 240 m^3.
Step-by-step explanation:
A cone with a volume of 1152π cubic meters has a radius of 12 meters. Which of these statements is correct?
Select one:
Its height is two thirds the length of its radius.
The length of its radius is twice its height.
The length of its radius is two thirds its height.
Its height is twice the length of its radius.
Answer:
Step-by-step explanation:
B
Answer: it’s hight is twice the length of its radius
Step-by-step explanation: