Answer:
x + 3y - 9 = 0
Step-by-step explanation:
(d): x + 3y = 15 -> (d): x + 3y - 15 =0
if (d')║(d)
-> (d'): x + 3y + c = 0
but (d') passes through the point (6;1) => c = -x-3y = -6-3.1 = -9
=> (d'): x + 3y - 9 =0
The equation of the line that passes through the point (6,1) and is parallel to the line (x + 3y = 15) is 3y +x = 9 and this can be determined by using the one-point slope form of the line.
Given :
The line passes through the point (6,1) and is parallel to the line (x + 3y = 15).
The following steps can be used in order to determine the equation of the line that passes through the point (6,1) and is parallel to the line (x + 3y = 15):
Step 1 - Remember that when two lines are parallel then their slopes are equal.
Step 2 - So, the slope of the line that passes through the point (6,1) is -1/3.
Step 3 - So, using the one-point slope form of a line the equation of a line that passes through the point (6,1) and is parallel to the line (x + 3y = 15) can be determined.
Step 4 - The one-point slope form is given below:
[tex](y-y_1)=m(x-x_1)[/tex]
Step 5 - Substitute the values of the known terms in the above equation.
[tex](y-1)=-\dfrac{1}{3}(x-6)[/tex]
3y - 3 = -x + 6
3y +x = 9
For more information, refer to the link given below:
https://brainly.com/question/2564656
Hurry plz what are the angles ????
Aiden has c pieces of candy. He gives away 72 of the pieces. Choose the expression that shows the number of pieces of candy Aiden has left.
Answer:
C= c - 72
Step-by-step explanation:I think, I have not done this a looooooong time. so I'm probably wrong.
HELPPPPPPPPPPPP MEEEEEEEEEEEEEEEEE...
Answer:
r=0
Step-by-step explanation:
28=4r+28
Subtract 28 from both sides, you get
4r=0
so, 0/4 is 0, and r=0
Answer:
r is 7
Step-by-step explanation:
because if you do the math you will see r is 7
Simplify the expression by
distributing, then combining like
terms!
4 (3x + 2) - 6
Answer:
[tex]\boxed {12x + 2}[/tex]
Step-by-step explanation:
Solve the following expression:
[tex]4(3x + 2) - 6[/tex]
-Use Distributive Property:
[tex]4(3x + 2) - 6[/tex]
[tex]12x + 8 - 6[/tex]
-Combine like terms:
[tex]12x + 8 - 6[/tex]
[tex]\boxed {12x + 2}[/tex]
Answer:
[tex]12x+2[/tex]
Step-by-step explanation:
The first step is to distribute the 4 to the parenthesis. This turns the equation into:
[tex](12x+8)-6[/tex]
We can remove the parenthesis now. Also, now we combine like terms. There are no other variables in the equation, so we leave the 12x alone. Combine the +8 and the -6 to get +2. This leaves the equation at:
[tex]12x+2[/tex]
Write the decimal as a fraction or a mixed number in simplest form.
1. -0.7
2. 0.125
3. -3.1
4. -10.25
Answer:
1. -7/10
2.1/8
3. - 3 1/10
4. -10 1/4
Step-by-step explanation:
Marcus bought a bowl of cereal and two bananas for $3.75. The cereal was $1.25. How much is one banana?
Answer:
here the equation
so the banana is 1.25 per
Step-by-step explanation:
(3.75- 1.25)/2
2.5/2
1.25
HAVING BAD DAY HELP
Suppose Karen reads 50 pages per day during the week, but then reads 1.5 times as many pages on Saturday and Sunday. How many pages total will Karen read on Saturday and Sunday?
Answer:
150 total pages read over the weekend, 75 for Saturday and 75 for Sunday.
Step-by-step explanation:
50×1.5=75
75+75=150
Answer:
Step-by-step explanation:
50 pages, 1.5 times as many
multiply:
50 x 1.5 = 75
If by "1.5 times as many on satuday and sunday" is including both days and not separately it will be 75 pages on saturday and sunday together..
If it says that she read 1.5 times as many on Saturday and 1.5 times as many on sunday, It will be 75 on saturday and 75 on sunday which is 150 pages.
I hope this wasn't confusing, I'm not sure on the wording of the question a bit, but I gave both possible answers.
5. Solve the equation 5x = 2x. Show your work.
Answer:
x = 0
Step-by-step explanation:
5x = 2x
5x - 2x = 0
3x = 0
x = 0×3
x = 0
How would you write 1256−4using a positive exponent? 25614 −12564 2564 −2564
Answer:
[tex](\frac{1}{1256})^4[/tex]
Step-by-step explanation:
Given
[tex]1256^{-4}[/tex]
Required
Write as an exponent of positive number
From law of indices, we have that:
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So:
[tex]1256^{-4}[/tex] becomes
[tex]\frac{1}{1256^4}[/tex]
1 to the power of any digit is 1,
So, the above can be rewritten as:
[tex]\frac{1^4}{1256^4}[/tex]
Apply the following law of indices:
[tex]\frac{a^m}{b^m} = (\frac{a}{b})^m[/tex]
So:
[tex]\frac{1^4}{1256^4}[/tex] becomes
[tex](\frac{1}{1256})^4[/tex]
Steven has £1100.
He pays £530 for a new TV.
His mortgage payment is £480.
How much money does he have left after paying for the TV and
paying his mortgage?
Answer:
£90
Step-by-step explanation:
Total money=£1100
Cost of new tv=£530
Mortage payment=£480
Therefore total money left =1100-(530+480)
=1100-1010=£90
9. Absolute Value
Solve each equation.
8) 4x - 2) = 80
B) (-3)
A)
8
c) (-3,2
D) No solution.
what is the answer for x
Answer:
x = 8.5
Step-by-step explanation:
I got this answer by assuming the triangles were congurent, if they are not, the answer may vary.
first, make an equation:
x + 8 = 3x - 9
bring 3x to the other side, by subtracting it
-2x + 8 = -9
Subtract 8
-2x = -17
divide by -2
x = 8.5
Then, just sub x into the formulas
Help ASAP!!!! WILL GIVE ALL MY POINTS!!
6. Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who has a mass of 40 kg, is traveling in the opposite direction at 5 m/s. They crash into each other and hold onto each other so that they move as one mass. How fast are they traveling?
They traveling at -0.37 m.s^-1 along the direction of 55 kg kid.
Nathan usually drinks 32 ounces of water per day. He read that he should drink 56 ounces of water per
day. If he starts drinking 56 ounces, what is the percent increase? Round to the nearest percent.
Answer:
20
Step-by-step explanation: you have to find the amount of change then determine the percent of increase and round it to the nearest percent
32 -56=24 then round to the nearest number you get 20
Solve the equation for y
6у - 1.5х = 8
Answer: can it be a fraction?
Step-by-step explanation:
Answer: y = 4/3 + 1/4x
Step-by-step explanation: 6y - 1.5x = 8
Add 1.5x to get y alone, 6y = 8 + 1.5x
Divide everything by 6, y = 8/6 + 1.5x/6
Simplify, y = 4/3 + 1/4x
What is S? Please and thank you!
9= S+9
Answer: S=0
hope this helps
Step-by-step explanation:
answer s =0
Step-by-step explanation:
because you just have to get rid of the 9 and by doing that you ned yo subtract it by 9
Help please!!! as part of a summer job, you stack crates. the crates have the same length and width but have heights of 1 or 2 feet. using a forklift, you can stack the crates 8 feet high. if you stacked 3 of the 2-foot crates how many of the 1-foot crates were in the stack?
Anwer:
You can stack 2 more 1-foot crates. 3 2-foot crates would take 6 of the 8 feet. 8 minus 6 will equal 2.
Step-by-step explanation:
Answer:
Hello
Step-by-step explanation:
I have no clue, working on same problem.
which ratio is greater
1) 2:3 or 2:4
2)2.5:5 or 2.2:6.6
3)3/2:1/4 or 5/4 : 3/2
4)2: 1/3 or 5: 4/3
Step-by-step explanation:
1.2:3
2.2:5:5
3.5/4:3/2
4.5:4/3
Find the x and y intercepts of the equation.
3x +y = −6
Answer:
x-intercepts: (2,0)
Y intercepts: (0,6)
Step-by-step explanation:
mn + p = 2
Solve for m
Answer:
m = [tex]\frac{2-p}{n}[/tex]
Step-by-step explanation:
Given
mn + p = 2 ( subtract 2 from both sides )
mn = 2 - p ( isolate m by dividing both sides by n )
m = [tex]\frac{2-p}{n}[/tex]
It takes a boat 3 hours to travel 45 miles downstream and 4 hours to travel 44 miles upstream.
What is the speed of the boat in still water?
The boat travels at...
miles per hour in still water.
What is the speed of the current of the river?
The speed of the current is...
miles per hour.
Answer:
2 miles per hour
Step-by-step explanation:
We use the distance formula. D = r * t
45/3 = 15 mph | Trip 1 |
44/4= 11mph | Trip 2 |
15-11 = 4 mph difference traveling upstream or downstream. Thus the speed of the current is 2 miles per hour.
Kim works as a server in a restaurant. She is serving the table where a group of her friends are eating. Her friends always tip 15%. If the cost of the meal is $23.60, how much of a tip will Kim earn?
if the bill was $23.60, and the tip was 15%, kim will earn $3.54. the overall total of the meal would be $27.14 :)
Anwser will be $3.54
15% = .15 ( to convert percent to decimal, change the % to . and move the decimal two places to the left)
23.60 * .15 = 3.54
A hat contains six purple chips, five green chips, and three orange chips, A chip is selected and
the color is noted. Then replaced. A second chip is selected and its color is noted.
Find the probability of P (Green and Green)
Answer:
B
Step-by-step explanation:
B
2(x+3)=4x+8-x solve for x
Answer:
x= -2
Step-by-step explanation:
Answer:
X = -2
Step-by-step explanation:
Write an equation for
Two-thirds a number x plus 8 is 11
Answer:
2/3x+8 = 11
Step-by-step explanation:
Two-thirds a number x
2/3x
plus 8
2/3x+8
is means equals
2/3x+8 = 11
What is 0•/•0? Let me know if my answer is correct lol my answer to this ? Is imagine that you have zero cookies and you want to divide them evenly amongst zero friends.How many cookies does each person get? See it doesn’t make any sense and cookie monster he said he has no cookies and you were sad because you have no friends.
Answer:
you are correct
Step-by-step explanation:
help i need this done asap
Answer:
look at explanation
Step-by-step explanation:
<ABC and <CBD are supplementary, meaning when added together they equal 180 degrees. So that means 5x + 2x + 5 = 180. Add 5x and 2x together to make 7x, so you are left with 7x+5 = 180. Subtract 5 from both sides to get 7x = 175. Divide 7 on both sides to get x by itself, so you are left with the result x = 25, proving that x does equal 25 degrees.
ASAP!!! BRAINLIEST!!
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!
Equation: y = 2x + 4
72 = 2x + 4
68 = 2x
x = 34
Hope this helps! :)
Slope of the line: rise/run = 4/2 = 2
y-intercept = 4
Plug into y = mx+b
y = 2x + 4
Plug 72 for y
72 = 2x + 4
=34
Geometry checkpoint question
First blank : Distributive property
Second : Simplify
Third : Subtraction property of Equality
Fourth : Division property of Equality
Suppose the equation of line t is y = x. Which shows the graph of ΔA'B'C' for Rt? Triangle A B C graphed on a coordinate plane with vertices at A negative 1 comma 1, B 1 comma negative 1, and C negative 3 comma negative 1. Group of answer choices Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime 3 comma negative 1, and C prime negative 1 comma negative 3. Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime 2 comma negative 1, and C prime negative 1 comma negative 3. Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime negative 1 comma 1, and C prime negative 1 comma negative 3. Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime negative 3 comma negative 1, B prime negative 1 comma 2, and C prime negative 3 comma negative 5.
Answer:
The correct option is;
Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime negative 1 comma 1, and C prime negative 1 comma negative 3
Step-by-step explanation:
The given parameters are;
The equation of the line t over which ΔABC is reflected is given by y = x
The coordinates of the vertices of ΔABC are given as follows;
A(-1, 1), B(1, -1), and C(-3, -1)
The reflection of a preimage (x, y) across the line y = x gives an image with coordinates at (y, x)
Therefore, the coordinates of the vertices of the image ΔA'B'C' after the reflection of the preimage ΔABC over the line, y = x are given as follows;
Coordinates of preimage → Reflection across y = x → Coordinates of image
A(-1, 1) [tex]{}[/tex] Reflection across the line y = x A'(1, -1)
B(1, -1) [tex]{}[/tex] Reflection across the line y = x B'(-1, 1)
C(-3, -1) [tex]{}[/tex] Reflection across the line y = x C'(-1, -3)
Therefore, the correct option is triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime negative 1 comma 1, and C prime negative 1 comma negative 3.
Answer:
A
Step-by-step explanation:
There is no dialation of the figure. Simply a rigidmotion. There is no need to change the shape, merely the sign befre the number.