Any equation of the form,
⇒ y = 3x + b,
where b is a constant, represents a line parallel to the line 3x - y = 6.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Now, To find the equation of a line that is parallel to 3x - y = 6, we need to find the slope of the line 3x - y = 6.
Hence, we can rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
3x - y = 6
-y = -3x + 6
y = 3x - 6
Therefore, the slope of the line 3x - y = 6 is,
m = 3.
Since we want a line that is parallel to this line, the slope of the new line must also be 3.
Thus, Any equation of the form,
⇒ y = 3x + b,
where b is a constant, represents a line parallel to the line 3x - y = 6.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
Given the point (18, -10), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x - 11, y - 9)
Answer:
The answer is (7,-19)
Step-by-step explanation:
Remember, 18 is x, and -10 is y. The rule says to subtract 11 from 18, which would be 7. For y, you add -9 to -10, which would be -19.
Therefore, your answer should be (7,-19)
Hope this helps!
By applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).
What is translation?Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way.
Given point = (18, -10)
(x, y) --> (x - 11, y - 9)
(18, -10) = (18 - 11, -10 - 9)
New point = (7, -19)
Hence, by applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).
Learn more about translation here
https://brainly.com/question/20426179
#SPJ2
Drag the tiles to the boxes to form correct pairs.
Match the values associated with this data set to their correct descriptions.
{6, 47, 49, 15, 43, 41, 7, 36}
First quartile, 11
Median, 45
Third quartile, 38.5
Difference of largest value and median, 10.5
Answer:
Step-by-step explanation:
50 PTS AND BRAINLIEST FOR CORRECT ANSWER
Answer: I asked my teacher, she said it is c
Step-by-step explanation:
Answer:
yes it's c
have a great day
Given that sec0=-37/12 what is the value of cot0, for Pi/2<0
Answer:
Step-by-step explanation:
12/35
You answered 85% of the questions on the quiz correctly. What fraction of
the questions did you answer correctly?
Answer:
A percentage is out of 100.
85/100
in lowest terms this is
17/20
Hope this helps :)
Step-by-step explanation:
The zoo downtown has 9 times as many monkeys as elephants. They have 60 animals all together. How many elephants are there?
Answer:
6
Step-by-step explanation:
e = number of elephants
9 times as many monkeys as elephants
m = 9e
------------------------
60 animals all together
e + m = 60
e + 9e = 60
Combine like terms
10e = 60
Divide both sides by 10
e = 6
Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.
However, if we knew that the zoo only has monkeys and elephants, then:
E = number of elephants
M = number of monkeys
M=9E
M + E = 60
9E+E= 60
10E = 60
E = 6
There are 6 elephants (and 54 monkeys).
alguem me ajuda
por favor
Answer:
sorry I'm confused boy sorryy
A radioactive substance decays to 30% of its original mass in 15 months. Determine the half-life of this radioactive substance to the nearest tenth. Show your work.
please help
Answer:
The half-life of this radioactive substance is of 8.6 months.
Step-by-step explanation:
Exponential decay of an amount:
The equation that models an amount after t units of time, subject to exponential decay, is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A radioactive substance decays to 30% of its original mass in 15 months.
This means that [tex]A(15) = 0.3A(0)[/tex]. We use this to find 1 - r.
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.3A(0) = A(0)(1-r)^{15}[/tex]
[tex](1-r)^{15} = 0.3[/tex]
[tex]\sqrt[15]{(1-r)^{15}} = \sqrt[15]{0.3}[/tex]
[tex]1 - r = (0.3)^{\frac{1}{15}}[/tex]
[tex]1 - r = 0.9229[/tex]
So
[tex]A(t) = A(0)(0.9229)^t[/tex]
Determine the half-life of this radioactive substance to the nearest tenth.
This is t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.9229)^t[/tex]
[tex]0.5A(0) = A(0)(0.9229)^t[/tex]
[tex](0.9229)^t = 0.5[/tex]
[tex]\log{(0.9229)^t} = \log{0.5}[/tex]
[tex]t\log{0.9229} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.9229}}[/tex]
[tex]t = 8.6[/tex]
The half-life of this radioactive substance is of 8.6 months.
2(3x – _) = 6x + 8 Using the distributive property, what would go in the blank in order for the given statement to be correct?
Answer:
2(3x - (-4)) = 6x + 8
Step-by-step explanation:
2(3x - A) = 6x + 8
6x - 2A = 6x + 8
Equating constant terms on both sides :
-2A = 8
A = -4
Therefore, 2(3x - (-4)) = 6x + 8
Answer:
Step-by-step explanation:
2(3x-(-4))=6x+8
2*3x=6x
2*-(-4)=8
Negative times negative makes positive 4
What is the height of the cone below? V = 90 cm 2 B=18 cm 2
Answer:
Step-by-step explanation:
what do u need help with
75 points pls hurry!!!
Answer:
15 ÷ 1/3
Step-by-step explanation:
Quotient means division
15 ÷ 1/3
Answer:
15÷1/3
Step-by-step explanation:
Hope this helps!
Have a lovely day!
PLEASE ANSWER THIS
PLEASE URGENT WORK
I M CRYING
Answer:
b=69(alternate angle)
b=37(alternate angle)
3) Which inequality represents the graph?
-54
-36
-18
0
18
36
54
a) x<9
b) x>9
c) X29
d) XS9
Answer:
I need a picture to see what it represents.
In a standard deck of cards, what is the probability of drawing a face card followed by drawing a non-face card
Answer:
0.1771
Step-by-step explanation:
total number of cards in a deck : 52
number of face card per suite : 3
total number of suites : 4 (hearts, clubs, diamonds, spades)
3 * 4 = total number of face cards
12/52 = 0.23 = probability of drawing a face card
remaining card are non face cards
52-12 = 40
40 non face cards
40/52 = 0.77 = probability of drawing a non face card
probability of drawing a face card followed by a non face card
multiply probabilities together to find combined probability
probability of drawing a face card * probability of drawing a non face card
= 0.23 * 0.77
= 0.1771
Enter the coordinates of the solution of these two linear equations.
Answer:
(-4,2) are solution coordinates
This is the point in which these two lines intersect
X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14
9514 1404 393
Answer:
11
Step-by-step explanation:
4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11
or
4 × (2 3/4) = 4 × 11/4 = 11
a number b divided by 3 is 6 less than a number c
Answer:
b/3 = c - 6
Step-by-step explanation:
A number b divided by 3 is 6 less than a number c
b/3 = c - 6
Need help quick with full work
Answer:
(x + 5) and (x -1)
Step-by-step explanation:
Given
The attached graph
Required
The [tex]factors[/tex] of the graph
The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis
The first is at:
[tex]x = -5[/tex]
Add 5 to both sides
[tex]x +5= -5+5[/tex]
[tex]x +5= 0[/tex]
This implies that the first factor is: (x + 5)
The second is at:
[tex]x =1[/tex]
Subtract 1 from both sides
[tex]x - 1 = 1 - 1[/tex]
[tex]x - 1 = 0[/tex]
This implies that the other factor is: (x - 1)
A snail can travel 390 inches in 5 hours.
How far does it travel in 1 hour?
Answer:
78 inches
Step-by-step explanation:
5 hours = 390 inches
1 hour = 390 / 5
1 hour = 78 inches
Therefore the snail travels 78 inches in 1 hour.
Hope this helps!
The area of a rectangle is 14 in. The length of one side is 7 in. What is its perimeter?
Answer:
The answer is 18
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
The perimeter of the rectangle =18 in
Step-by-step explanation:
Given, Area of rectangle= 14 in
Length(l) of one side = 7 in
We know,
Area = lxb
or, 14 = 7xb
or, b = 2 in
then the perimeter of the rectangle = 2x(l+b)
= 2x(7+2)
= 2x9
=18in
I NEED HELP The measure of an angle is 74.6°. What is the measure of its supplementary angle?
Answer:
105.4º
Step-by-step explanation:
supplementary angles total 180º
180 - 74.6 = 105.4º
At the neighborhood block party, Hassan served 3 gallons of hot chocolate and 1/2 of a gallon of apple cider. How much more hot chocolate than apple cider did Hassan serve?
Write your answer as a fraction or as a whole or mixed number.
Answer:
2 gallons and 1/2
Step-by-step explanation:
You just have to subtract 1/2 from 3.
3 - 1/2 = 2 1/2
or
3 - .5 = 2.5
And 2 1/2 is how much more he served.
Answer: 5 times more hot chocolate
Step-by-step explanation:
GUYS PLEASE HELP ALMOST DUE
Answer:
1/5
Step-by-step explanation:
y = 12
12 = 1/5 x 60
12= 12
y = 9
9 = 1/5 x 45
9 = 9
and so on and it always results to one fifth
Can someone help me please?
9514 1404 393
Answer:
[tex]\textsf{B.}\ \ 6x-1+\dfrac{-11x+8}{x^2+3}[/tex]
Step-by-step explanation:
See the attachment for the working out of the long division.
Someone please help me
Answer:
48
Step-by-step explanation: 1 foot is 12 inches. Since the feet are going up by ones, you can say 1=12, 2=24 (+12), 3=36(+12), 4=48(+12)
Hope this helps
Answer and Step-by-step explanation:
The answer is 48.
Each value of y is a multiple of 12, so for when there is 4 feet, you multiply 12 by 4 to get 48.
For when it is 1 foot, you multiply 12 by 1 to get 12.
For when it is 2 feet, you multiply 12 by 2 to get 24.
For when it is 3 feet, you multiply 12 by 3 to get 36
For when it is 5 feet, you multiply 12 by 5 to get 60.
If you were to continue, the y-values (aka the inches) will always be a multiple of 12.
#teamtrees #PAW (Plant And Water)
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (Assume the data set has a bell-shaped distribution.)
Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour.
Answer:
68%
Step-by-step explanation:
We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.
What is sin 49° to the nearest tenth
Answer:
50
Step-by-step explanation:
50???
Answer:
sin49° = 0.75471
sin 49° = 0.75471
sin 49 degrees = 0.75471
Step-by-step explanation:
I want to purchase a pair of sneakers for the summer. Champs and Footlocker
are selling the same pair of sneakers, but with different promotions. Champs
is offering a 25% off coupon and charging a tax of 8%. Footlocker is offering a
20% off coupon, but is not charging any tax.
If the sneakers have an original price of $80, where should I buy them
from if I want to spend the least amount of money?
Answer:
Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.
Corrie is 5 inches taller than Jason who is 4 ft. 9 in. Jennifer is
8 in, shorter than Corrie. How tall are Corrie and Jennifer?
(Express answers in simplest terms.)
Corrie___________.
Jennifer ___________.
Answer:
see below
Step-by-step explanation: 5 27 6 46
Corrie is 5 inches taller than Jason who is 4 ft. 9 in
Corrie must be 4 ft. 9 in + 5 in. = 5 ft. 2 in or convert ft to inches and add
[4(12) + 9] + 5 = 62 62/12 = 5 ft. 2 in.
Jennifer is 8 in, shorter than Corrie so Corrie is (5 - 8) inches (-3) inches taller than Jason or 3 in. shorter than Jason
Jennifer is 4 ft. 9 in - 3 in. = 4 ft. 6 in
What is the initial value of the function represented by this graph?
O 1
O 5
O 6
O 7