Answer:
The equation of the parallel line is x + 3y = 17
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercept
The form of the equation y = m x + b, where
m is the slope of the lineb is the y-intercept∵ The equation of the given line is x + 3y = 4
→ We must put it in the form above to find its slope
→ Subtract x from both sides to move x to the right side
∵ x - x + 3y = 4 - x
∴ 3y = 4 - x
→ Divide both sides by 3 to make the coefficient of y = 1
∴ [tex]\frac{3y}{3}=\frac{4}{3}-\frac{1}{3}x[/tex]
∴ y = [tex]\frac{4}{3}[/tex] - [tex]\frac{1}{3}[/tex] x
→ Compare it with the form of the equation above
∴ m = [tex]-\frac{1}{3}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]-\frac{1}{3}[/tex]
→ Put it in the form of the equation
∴ y = [tex]-\frac{1}{3}[/tex] x + b
→ To find b substitute x and y in the equation by the coordinates
of a point on the line
∵ The line passes through the point (2, 5)
∴ x = 2 and y = 5
→ Substitute them in the equation
∴ 5 = [tex]-\frac{1}{3}[/tex] (2) + b
∴ 5 = [tex]-\frac{2}{3}[/tex] + b
→ Add [tex]\frac{2}{3}[/tex] to both sides
∴ [tex]\frac{17}{3}[/tex] = b
→ Substitute it in the form of the equation above
∴ y = [tex]-\frac{1}{3}[/tex] x + [tex]\frac{17}{3}[/tex]
→ Multiply each term by 3
∴ 3y = - x + 17
→ Add x to both sides
∴ x + 3y = 17
∴ The equation of the parallel line is x + 3y = 17
Answer:
[tex]\displaystyle y-5=-\frac{1}{3}(x-2)[/tex]
Step-by-step explanation:
Equation of a Line
Two lines are parallel if they have the same slope. We are given the equation of the line:
x+3y=4
To find the slope of this line, we must solve for y:
[tex]\displaystyle y=-\frac{1}{3}x+\frac{4}{3}[/tex]
The slope of this line is:
[tex]\displaystyle -\frac{1}{3}[/tex]
The equation of the new line has the same slope. To find its equation, we use the point-slope form of the line:
y-k=m(x-h)
Where (h,k)=(2,5). Thus:
[tex]\boxed{\displaystyle y-5=-\frac{1}{3}(x-2)}[/tex]
Write the equation of the parabola in vertex form.
vertex (4.1), point (3,-4)
Answer:
[tex]\boxed{\bold{y=-5(x-4)^2+1}}[/tex]
Step-by-step explanation:
[tex]y=a(x-h)^2+k[/tex] - vertex form of equation of a parabola where vertex is (h,k)
[tex]y=a(x-4)^2+1[/tex] - vertex form of equation of a parabola where vertex is (4,1)
The parabola goes through point (3, -4) so if x=3 then y=-4
[tex]-4=a(3-4)^2+1\\\\-4-1=a(-1)^2+1-1\\\\-5=a\cdot1\\\\{}\ \ a=-5[/tex]
Therefore the equation of the parabola in vertex form with vertex (4,1), going through point (3,-4):
[tex]y=-5(x-4)^2+1[/tex]
Explain if it has the same answer: 6(9) = 6(5) + 6(4)
Answer:
54 does equal 54. So this problem is true
Step-by-step explanation:
6*9=54
6*5=30
6*4=24
30+24=54
54 does equal 54
Answer:
it has the same answer because 6(5)+6(4)=6(9) so they are the same
Step-by-step explanation:
copy and paste that ;)
Please help I’ll give brainiest!!
Answer:
m(x)=-1/5x+2.5
Answer:
I believe it is the second choice, m(x)= 5x-12.5 since the points given and this line overlap which therefore indicates a relationship. Also they have the same y intercept.
Please answer this question
Answer:
if it is a square, then it must be a quadrilateral
18,000 divided by 60
Answer:
Step-by-step explanation:
300
300
Simple
18,000/60 = 300
Consider the equation y = 13. Which of the following statements is true?
I will give brainlist to best answer!!
The given equation is perpendicular to -3x + 2y = 8
The given equation is parallel to 2y - x = 2
The given equation is perpendicular to x = -13
The given equation is parallel to 16x = 28y
Answer:I think it's - 2/3
Step-by-step explanation:yea
Write and solve the equation and then check your answer.
The difference between a number and four hundred forty is five hundred eighty-five.
Complete the statements.
The equation that correctly models the problem is
To undo what has been done to the variable,
both sides of the equation.
The solution of the equation is
Check the solution by substituting for the variable and simplifying.
1)Intro
Answer:the first one is n-440=585
The second one is add 440 to
The third one is n = 1025
The last one is 1025
Step-by-step explanation: got this all right on edge
Answer:
The equation that correctly models the problem is
✔ n – 440 = 585
.
To undo what has been done to the variable,
✔ add 440 to
both sides of the equation.
The solution of the equation is
✔ n = 1025
.
Check the solution by substituting
✔ 1025
for the variable and simplifying.
Which number is IRRATIONAL?
A
)
ſo
B)
B
149
4
V90
D)
V121
Answer:
b
Step-by-step explanation:
Would any of these shapes classify as a congruent triangle?
Answer:
4th and 5th
Step-by-step explanation:
4th as 2 pairs of sides are equal and opposite angles of a parallelogram are equal
5th as 1 pair of given angles are equal, 1 pair of given sides are equal, and vertically opposite angles are equal.
The tanks at the Georgia Aquarium hold approximately 8.4 × 106 gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water. Use a single digit times a power of 10 to estimate how many times greater the amount of water is at the Georgia Aquarium
Answer:
the answer is 20
hope this helped
Step-by-step explanation:
The amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the tanks at the Georgia Aquarium hold approximately 8.4 × 10⁶ gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water.
The number of the time will be calculated as below:-
= 8.4 × 10⁶ / 400,000
= 20.1
Therefore, the amount of water at the Georgia Aquarium is 20 times greater than the aquarium of the Americas hold.
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Solve the word problems using either the percent equation or the percent
proportion. Make sure to answer in a complete sentence. Round to the whole
number if necessary.
Arianna has an extensive music DVD collection. She owns 2300 DVD in total.
Twenty percent of the DVD’s are country music. How many country
music DVDs does she own?
Answer:
460
Step-by-step explanation:
20% of 2300 is 460
Two of the angles in a triangle measure 59° and 24". What must be the measure of the third angle?
Answer:
180-(59-24)
180- 83 =97
If movie C sold 4,200 tickets on the first day of the week, calculate its earning for that day using the average ticket price given in the table.
Answer:
$34,104
Step-by-step explanation:
4,200 * $8.12 = $34,104
Answer:
The movie has earned 34,104 on the first day of the week
Step-by-step explanation:
4,200 x 8.12= 34104
Hope this helps!!!!!!
Please identify the common angles and sides or these triangles.
Answer:
see attached image
Step-by-step explanation:
A shop sells bagels for $5 per dozen. You can use the table to answer
the questions. Explain your reasoning. (Show all your work)
1. At this rate, how much would 6 bagels cost?
2. How many bagels can you buy for $50?
Answer with step-by-step explanation:
Lets says the number of bagels is B and the price in dollars is D.
Equation: D × 12/5 = B
1. 6 is half of a dozen, which means the price would be half of 5, 2.5
2. $50 is 10× the amount of $5, so the amount of bagels would be 10 × 12, which is 120 bagels.
Hope this helped! (brainliest please)
A Dozen mathematically means 12.
It is important to note that:
$5 = 12 bagels
1) 12 bagels = $56 bagels = ?
Cross Multiply
6 bagels x $5 / 12
= $7.50
Therefore, 6 bagels would cost $7.50
2) $5 = 12 bagels$50 = ?
Cross multiply
$50 x 12 bagels / $5
= 120 bagels
Therfore, you can buy 120 bagels for $50
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expresa en lenguaje algebraico lo siguiente
Answer:
i dont speek Spanish sorry
write a word problem that could be solved using the expression 2x+60
Answer:
Step-by-step explanation:
james want to buy a sirt that cost 95 dollars. he only has 60 dollars saved.
if james gets paid 2 dollars a day how many days would he have to work to get 80 dollars.
solve for x
y=2x+60
95=2x+60
The stemplot below represents the number of bite-size
snacks grabbed by 37 students in an activity for a
statistics class.
Which of the following statements best describes the
distribution?
Number of Snacks
1 2 2 3 3 3 4 4
1 5 5 5 5 6 6 7 7 7 8 8 8 8 9 9
2 0 0 1 1 1 1 2 3
25 5 8
32
3. 8
4 2
4 5
The distribution of the number of snacks grabbed is
skewed right with a center around 18 and varies from
15 to 45. There are no outliers.
The distribution of the number of snacks grabbed is
symmetric with a center around 18 and varies from 12
to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is
skewed left with a center around 18 and varies from
12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is
skewed right with a center around 18 and varies from
12 to 45. There are possible outliers at 38, 42, and 45.
Key: 24 is a student who grabbed
24 snacks.
Answer:B
Step-by-step explanation:
The distribution of the number of snacks grabbed is skewed right with a centre around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45. Therefore, option B is the correct answer.
What is the stem plot?A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values. It is a graph that shows numerical data arranged in order. Each data value is broken into a stem and a leaf.
A stem and leaf plot is represented in form of a special table where each first digit or digit of data value is split into a stem and the last digit of data in a leaf. This " | " symbol is used to show stem values and leaf values and it is called as stem and leaf plot key.
First, we can see if the graph is symmetric. A symmetric graph is even on both sides of the centre. As there are a lot more students that grabbed a small number of snacks, the data is not even around the centre (which is somewhere around 20 or 30 snacks). This means that the graph is not symmetric, making the second answer incorrect.
Next, we can check if the graph is skewed right or left. If the left of the graph represents a smaller amount of snacks and the right of it represents a higher number of snacks, we can see that most of the data is on the left of the graph. There are a few values to the right, but the overwhelming amount of data is on the left, making the distribution skewed to the right. This keeps the first and last answers possible,
Moreover, we can find the centre of the distribution. This is generally equal to the median, which is 18, so the centre is around 18.
After that, we can see what values vary. The lowest tens value is 1, and the lowest value in that is 2, making the lowest value 12. Similarly, the highest tens value is 4, and the highest value there is 5, making the range 12 to 45. This leaves the last answer, but we can check the outliers to make sure.
With the data, we can calculate the first quartile to be 15, the third quartile to be 21.5, and the interquartile range to be 21.5-15 = 6.75. If a number is less than Q₁ - 1.5 × IQR or greater than Q₃ + 1.5 × IQR, it is a potential outlier. Applying that here, the lower bound for non-outliers is 15 - 6.5 × 1.5 = 5.25, and the upper bound if 21 + 6.5 × 1.5 = 30.75. No values are less than 5.25, but there are four values greater than 30.75 in 32, 38, 42, and 45. There are possible outliers at 38, 42, and 45, matching up with the last answer.
Therefore, option B is the correct answer.
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the question is in the photo!! Please help
Answer:
D
Step-by-step explanation:
5×pi= 15.7 > 15. good luck on your test
Answer:
D
Step-by-step explanation:
can you help my sis out agan sorry
Answer:
That would be .51000
Answer:
[tex]5.1[/tex]×[tex]10^{-4}[/tex]
[tex]6.3[/tex]×[tex]10^{-3}[/tex]
Step-by-step explanation:
If you move the decimal 4 times to the right, since it's a negative, you'll get the number 0.00051.
If you move the decimal 3 times to the right, since it's also a negative, you'll get the number of 0.0063.
Hope this helps!
Please can anyone explain it’s due In 30 mins
Answer:
Step-by-step explanation:
1) h(t) = 5t + 10
2) plugging in t as 12 to our function, h(12) = 5 * 12 + 10 = 70
3) h(5) = 35 is the function representing the height, 35 feet, travelled in a period of time, 5 seconds.
It’s all in the picture. :)
Answer:
A and B are correct.
Step-by-step explanation:
A would be correct because the tickets cost 18 in all and 3 friends went. 18/3=6
B is correct because funnelcakes are represented by C. In the equation, C equals 3
C is incorrect because we don't know how much the group spent.
D is incorrect because that information wasn't given.
BRAINLIEST IF U CAN ANSWER IN 5 MINUTES
Use scientific notation to find the product of 7.13 × 10 ^-3 and 40. Include all of your calculations in your final answer.
Answer: 2.852 × 10-1
Step-by-step explanation:
7.13 x 10^-3 = 0.00713
0.00713 x 40 = 0.2852
0.2852 = 2.852 × 10-1
Answer:
0.2852
Step-by-step explanation:
.00713x40=0.2852
or 2.852x10^-1
25 point
A rock is thrown from the top of a tall building. The distance, in feet,
between the rock and the ground x seconds after it is thrown is given by
f(x) = -16x^2 - 4x + 382. How long after the rock is thrown is it 340 feet
from the ground? *
2.256 seconds
1.50 seconds
3.324 seconds
0.236 seconds
Answer: Pretty sure it is C. 3.324 seconds
Step-by-step explanation: tell me if im wrong tho, Brainliest is appriciated
question 2 pleaseee !!!!!!
What is the difference between a frown and a smile? Describe what a relaxed face looks like
Answer:
Both are facial expressions bu a frown is with the eyebrows together and forehead wrinkles and usually the person is wooried or sad and a smile is formed primarily by flexing the muscles at the sides of the mouth.
Step-by-step explanation:
help please this is due in 7 minutes and i have no idea what the answer is thanks
Step-by-step explanation:
I believe the answer was:
175; Since 175 have a cat or a cat and dog, then the number that have a dog only is 350 − 175 = 175.
5(x + 4) = 5x + 20 is an example of which property?
Answer:
Distributive Property
Step-by-step explanation:
First you would solve the left side of the equation. For this you would use the distrubutive property.
5x + 20 = 5x + 20
So the answer is the distributive property.
Hope this helped!!!
please thank you so
Answer:
Whats the question
Step-by-step explanation:
pls help ty!
Will give brainliest
Answer:
0.22h
Step-by-step explanation:
9.8 km/h is your speed, and you need to travel 2.2 km.
Time = distance / speed
(2.2km) / (9.8km/h)
0.22h