What is the least common multiple (LCM) of 6, 12, and 15?
What is an equation of the line that passes through the point (5, 4) and is parallel to
the line 6x – 5y = 15?
Someone please help me
Answer & Step-by-step explanation:
When two lines are parallel, their slopes are the same. To find the slope of the given equation, convert to slope-intercept form:
[tex]y=mx+b\\\\[/tex]
m is the slopeb is the y-intercept, which is the value of y when the value of x is zerox and y are the corresponding coordinate points (x,y)[tex]6x-5y=15[/tex]
Solve for y. Subtract 6x from both sides:
[tex]6x-6x-5y=15-6x\\\\-5y=-6x+15[/tex]
Divide both sides by -5:
[tex]\frac{-5y}{-5} =\frac{-6x}{-5} +\frac{15}{-5} \\\\y=\frac{6}{5}x-3[/tex]
The slope is [tex]\frac{6}{5}[/tex].
Now you need to make an equation in point-slope form:
[tex]y-y_{1}=m(x-x_{1})[/tex]
m is the slope[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the coordinate pointsInsert known values:
[tex]y-4=\frac{6}{5}(x-5)[/tex]
You can use this equation, or you can convert to slope-intercept form by solving for y:
Use the distributive property:
[tex]y-4=\frac{6}{5} x-6[/tex]
Add 4 to both sides:
[tex]y-4+4=\frac{6}{5}x-6+4\\\\ y=\frac{6}{5}x-2[/tex]
:Done
The equation of the perpendicular line is [tex]y = \frac 65x - 2[/tex]
The equation of the line is given as:
[tex]6x -5y = 15[/tex]
Start by calculating the slope (m) of the line as follows:
[tex]6x -5y = 15[/tex]
Subtract 6x from both sides
[tex]-5y = 15 - 6x[/tex]
Divide both sides of the equations by -5
[tex]y = -3 + \frac65x[/tex]
Rewrite as:
[tex]y = \frac65x-3[/tex]
For a linear equation, y = mx + b, the slope of the line is m
So, the slope is:
[tex]m = \frac65[/tex]
The equation of the line is said to be parallel to the above equation
So, the slope of the line is:
[tex]m = \frac65[/tex]
The line is said to pass through point (5,4).
So, the equation of the line is:
[tex]y = m(x - x_1) +y_1[/tex]
This gives
[tex]y = \frac 65(x - 5) +4[/tex]
Expand
[tex]y = \frac 65x - 6 +4[/tex]
[tex]y = \frac 65x - 2[/tex]
Hence, the equation of the line is [tex]y = \frac 65x - 2[/tex]
Read more about line equations at:
https://brainly.com/question/14323743
What are the terms in the expression 4mn+m+5
Answer:
4mn,m and, 5. The terms are anything that's not a symbol like + or = in an equation
P.s.
Please give me brainliest for my next rank.
Cynthia is making peanut butter cookies. Her recipe calls for 2 cup of peanut butter to make 1 dozen cookies. Which fraction best represents the ratio of cups of peanut butter to number of cookies? A 1/36 B. 1/12 C 1/6 D 1/4
Answer:
D I think
Step-by-step explanation:
one dozen is 12 so you reduce it so you make it smaller
What early human development was necessary for survival in cold environments?
A finding shelter in caves
B banding together in clan groups
C wearing wool clothing for warmth
D creating language to communicate
Please: It is not C, so do not bother with that. I checked several others and people have different answers. If it right, i will mark brainliest
Which equation has x=4 as the solution
Answer:
x + 6 = 10
x = 4
Answer:
A) [tex]log{4}[/tex] (3x+4) = 2
Step-by-step explanation:
took the test
If the equation |5x − 10| = 45 has two solutions, then how many solutions does the equation |5x − 10| = −45 have? Explain.
Answer:
No solution
Step-by-step explanation:
It equals a negative so there is no solution
Which one is the vertical axis?
Answer:
Step-by-step explanation:
Vertical by definition means up and down. The y-axis fits this description. Look at a picture of a Cartesian coordinate system
Answer:
the y-axis
Step-by-step explanation:
vertical is up and down
horizontal is side to side or left and right
y is up and down
helpppp!! (23 points)
Answer:
1, 2, and 4. (I believe it is).
Step-by-step explanation:
What is the length of AC
Answer: The length of AC is 6.
Might as well make it right lol ;)
PLEASE HELP ME, IM BEING TIMED ON THE TEST AND NEED AN ANSWER QUICK!!!!!
I ALSO SPENT ALL OF MY POINTS ON THE QUESTION!
A conjecture and the flowchart proof used to prove the conjecture are shown.
Given: A B C D is a parallelogram.
Prove: Angle 1 is supplementary to angle 3.
Art: Parallelogram A B C D. Ray D B is drawn and is extended past vertex B. The ray forms an interior angles A D B and D B C and an exterior angle labeled as 3, adjacent to angle D B C. Angle A D B is labeled as 1, and angle D B C is labeled as 2.
Drag an expression or phrase to each box to complete the proof.
Answer:
∠1 is supplementary to ∠3.
Step-by-step explanation:
Given information: ABCD is a parallelogram.
Prove: ∠1 is supplementary to ∠3.
Proof:
∠1 = ∠ADB
∠2 = ∠DBC
∠3 = exterior angle adjacent to angle D B C.
Statement Reason
∠2 is supplementary to ∠3 Linear pairs
m∠2+m∠3=180° Definition of supplementary angles
Alternative interior angles
m∠1+m∠3=180° Substitute property of equality
∠1 is supplementary to ∠3 Definition of supplementary angles
Elsa has $ 48.65 in her savings account and $ 23.40 in her wallet.
Part A: How much money does Elsa have in total?
O $61.16
O S 71.05
S 72.05
O S 73.05
Part B:
Elsa decides to take half of the money that's in her wallet and deposit it into her savings account
How much money will she add to the account?
O $11.70
O $ 24.33
O $ 46.80
0 $ 60.35
Answer:
did you say elsa lol
Step-by-step explanation:
LET IT GO LET IT GOOOOOOOOOOOO
Answer: A 71.05
B 11.7
It can be confusing but here are your answers
0.35 rational or irrational
Answer:
Irrational
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
The number 35 is a rational number if 35 can be expressed as a ratio, as in RATIOnal. A quotient is the result you get when you divide one number by another number. For 35 to be a rational number, the quotient of two integers must equal 35
Evaluate ab for a = 2 3/4 and b = 4/5.
Rewrite a as an improper fraction:
2 3/4 = 11/4
Now you have 11/4 x 4/5
Multiply the two top numbers together and the two bottom numbers together.
11x4 / 4x5 = 44/20 now rewrite as 2 4/20 which can simplify to 2 1/5
What are the vertices of ΔA'B'C produced by T⟨−3, 6⟩ (ΔABC) = ΔA'B'C?
Answer: (3x - 12, 3y +6)
Step-by-step explanation:A dilation is a transformation that produces an image that is the same shape as ... The dilation (centered at O with a scale factor of 2) of ΔABC = ΔA'B'C' making ... from O to the vertices of ΔA'B'C' are twice the distances from O to ΔABC. ... Apply the dilation formula when centered at origin: (3(x - 4), 3(y + 2)) = (3x - 12, 3y + 6)
5. What are the two most common
causes of chemical weathering?
6. Oxygen combining with rocks and
minerals is called
Erosion
Oxidation
Can you guys please help me I’ll give y’all brainlest whatever it’s called I just started 6th grade and I’m new to this please help !?
Sharon is planning a holiday for 4 people for 7 days
Here are the costs for the holiday for each person
Travel-£130 hotel-£60 for each day spending money-£350
Work out the total cost of the holiday for 4 people for 7 days
Answer:
3600
Step-by-step explanation:
Each PERSON cost:
Travel cost 130 (assume for whole 7 days since per day is not written)
Hotel 60 per day (so 7 days = 60 * 7 = 420)
Money Spend 350 (assume for whole 7 days since per day is not written)
-------------------------------------------------------------------------------------------------------------
Now, that sums to:
130 + 420 + 350 = £900 [each person for whole 7 days]
Now, there are 4 person, so total cost of whole group (4 persons):
900 * 4 = £ 3600
What is the solution set for this inequality?
−9x+18<−27
Answer:
x=-1
Step-by-step explanation:
-9x+18-18=27-18
-9x=9
-9x/-9 = 9/-9
x=-1
Answer:
-1
Step-by-step explanation:
9a = b^3 + 4H
How do you solve for a
Ok, to solve for (a) you need to get it alone. So divide 9 by all.
9a/9 = b^3/9 + 4H/9
Then your left with your equation, which is
a = b^3/9 + 4H/9
Hope this helps, if so please mark brainliest.
Each marble bag sold by Jina's Marble Company contains 4 orange marbles for every 3 green marbles. If a bag has 18 green marbles, how many orange
marbles does it contain?
marles
Are these equations linear or non-linear?
Answer:
Linear
Step-by-step explanation:
Find the degree of the equation to determine if linear.
All are linear.
Solve them to determine whether they are linear or non-linear.
If m= 8, how many solutions are there for the expression m - 8?
2
infinite
( hy
1
0
Step-by-step explanation:
0
What percentage of this 100 square grid is shaded ?
Answer:it thinks it 45
Step-by-step explanation:
I counted
Answer:
45%
Step-by-step explanation:
use ratio;
100-100%
45-x
The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part A: What is the constant of proportionality shown in the graph?
Answer:
The constant of proportionality is 3/4
Step-by-step explanation:
Here, we want to write the constant of proportionality in the given graph .
To find the constant of proportionality, we need to find the slope of the line.
We can get the slope by using two of the points on the line.
Mathematically, slope of a line m is;
m = (y2-y1)/(x2-x1)
Let (x1,y1) = (120,90) and (x2,y2) = (400,300)
slope will be ( 300-90)/(400-120) = 210/280 = 3/4
Type the correct answer in the box. Use numerals instead of words.
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is.
HELP!!!!
The equation of a line passes through the point (10,1) and has a slope of
- 0.5 is y = - 0.5x + b.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is its graph or rate of change is large.
Yes, A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
Now, A line is drawn on the coordinate plane that passes through the point (10, 1) and has a slope of - 0.5.
Therefore, 1 = - 0.5(10) + b.
1 = - 5 + b.
b = 6.
And hence equation of the required line is,
y = - 0.5x + 6.
learn more about lines and slopes here ;
https://brainly.com/question/16180119
#SPJ2
Find the slope of the line through the given points. c (1,3) and (0,−9)
Simplify the expression (2 − 5)(3 + 7) − (4 + 3). Show your work!
Answer:
=-37
Step-by-step explanation:
=-3(3+7) - ( 4+3)
=-3.10-(4+3)
=-3.10-7
=-30-7
=-37
Answer:
Your final answer will be
−37
Step-by-step explanation:
(2−5)(3+7)−(4+3)
= −3(3+7)−(4+3)
= (−3)(10)−(4+3)
= −30−(4+3)
= −30−7
= −37
Katy's 4 dogs eat a total of 16 dog biscuits every day. How many biscuits will they eat in 45 days?
Answer:
720
Step-by-step explanation:
16*45=720
Answer:
720
Step-by-step explanation:
If in 1 day they eat 16 biscuits, then in 45 days they eat 45 * 16 biscuits.
45 * 16 = 720
Answer: 720
Please help me with this...
Jay’s car gets 35 miles for every 2 gallons of gas. Give the slope.
Answer:
17.5? i think
Step-by-step explanation:
35 miles for every 2 gallons of gas
jay's car would go 17.5 miles for one gallon of gas
*** hey can someone explain to me how to solve this question, thank youu
Answer: One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Step-by-step explanation: