Write an equation of the line passing through the point (6, 3) that is perpendicular to the line 6x + 5y = 10
An equation of the line is
y=?
Answers
Answer:
[tex]y=\frac{5}{6}x-2[/tex]
Step-by-step explanation:
Let the equation of a line passing through a point [tex](x_1,y_1)[/tex] and slope [tex]m_1[/tex] is,
[tex]y-y_1=m_1(x-x_1)[/tex]
Equation of the second line has been given as,
6x + 5y = 10
Slope-intercept form of the equation will be,
5y = -6x + 10
y = [tex]-\frac{6}{5}x+10[/tex]
Here slope of the line [tex]m_2=-\frac{6}{5}[/tex]
If both the lines are perpendicular,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
[tex]m_1\times (-\frac{6}{5})=-1[/tex]
[tex]m_1=\frac{5}{6}[/tex]
Therefore, equation of the line passing through (6, 3) and slope = [tex]\frac{5}{6}[/tex] will be,
y - 3 = [tex]\frac{5}{6}(x-6)[/tex]
y = [tex]\frac{5}{6}x-5+3[/tex]
[tex]y=\frac{5}{6}x-2[/tex]
Related Questions
dillon pays x dollars to get a haircut.he gives the stylist a 20% tip the expression representing his total cost is x + 0.2x
Answers
Answer:
[tex]y=x+0.2x[/tex]
Step-by-step explanation:
Step one:
given data
we are told that Dillon paid $x for a haircut.
and gave a tip of 20% of the amount he paid, this is expressed as
=20/100*x
=0.2x
Let the total amount he paid, that is haircut plus tip be y
the expression for the total amount is
[tex]y=x+0.2x[/tex]
here x represents the amount he paid
0.2 represents 20% of the haircut
Which graph shows a linear function?
Answers
He ran 10 meters in 2.7 seconds. priya ran 10 meters in 2.4 seconds.
who ran faster? explain how u know
Answers
Answer:
The first person somehow
Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667
Whoever gives me the correct answers I will give brainlyest.
Carlos walks 3 miles every night for exercise. It takes him exactly 56 minutes to finish his walk.
A) Assuming he walks at a constant rate, write a equation to represent how many miles, y, Carlos can walk in x minutes. (answer can be kept as a fraction or rounded correctly to the nearest hundredths place)
B) How many miles can Carlos walk in 18 minutes? (Your answer should be rounded to the nearest tenths or hundredths place).
Answers
Answer:
its B
Step-by-step explanation:
Because It says how many milescan he walk not how many Did he walk
Does anyone know what the answer is ?
Answers
Answer:
x intercept : -3,0 y intercept : 0,6
Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?
Answers
Answer:
7 days
Step-by-step explanation:
Bamboo plant A = 1.2 + 0.45d
Bamboo plant B = 0.85 + 0.5d
Where,
d = number of days
Equate the two growth
Bamboo plant A = Bamboo plant B
1.2 + 0.45d = 0.85 + 0.5d
Collect like terms
1.2 - 0.85 = 0.5d - 0.45d
0.35 = 0.05d
Divide both sides by 0.05
d = 0.35 / 0.05
d = 7 days
Plant B be taller than Plant A after 7 days
Pete wants to buy a new bike that costs $120 before any discount. Which offer should he choose to pay the least amount for the bike? Need help Please
A$30 coupon
B20% off and then a $10 rebate
C$20 coupon and then 10% off
D25% off
Answers
Answer:C I hope this helps
Step-by-step explanation:
hey bro's help me!!
Answers
Answer:
3x+10
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
the probability is 1/2
What is the volume of a hemisphere with a diameter of 41.6 m, rounded to the
nearest tenth of a cubic meter?
Answers
Answer:
Step-by-step explanation:
Given
diameter of 41.6 m
So radius =41.6/2= 20.8
Solution
volume of a hemisphere=4/3πr^2
=4/3×3.14×20.8×20.8
=5433.9584/3
=1811.319
So the answer is 1811.319 =1811(nearest 10)
Answer:18847.3
Step-by-step explanation:
Which graph represents the equation y−3.6=1.6(x−1)?
show work, please!
Answers
Answer:
A
Step-by-step explanation:
kapa
what’s is the slope?
Answers
rise over run. you rise twice, go over 3 times
Answer:
1/2
Step-by-step explanation:
(1,1) (2,3)
you have to do the difference of the x axis and y axis then divid them by each other
Calculate the sum.
10+ (-42)
O A. 52
O B. -32
O C. 32
D. -52
Answers
Answer:
B
Step-by-step explanation:
10 + (-42)
10 - 42
-32
PLEASE HELPP!!!! 30 POINTS!!!
In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
Also, AY = 7. BZ = 8, and XZ = 18. What is the perimeter of Triangle ABC?
Make sure you explain why and show all your work.
Answers
Answer:
The perimeter of triangle ABC is 33.
Explanation:
AY = 7 is half of the line of XY so we would then multiply 7 by 2:
7 x 2 = 14
and we would then do this to all of our numbers:
8 x 2 = 16
18 x 2 = 36
now we make a full equation for the answer of the perimeter of triangle XYZ:
14 + 16 + 36 = 66
66 is the perimeter of triangle XYZ.
We would then divide this answer by 2 to find the perimeter of ABC because it is half of XYZ:
66 ÷ 2 = 33
The perimeter of triangle ABC is 33
Hope this helps! :)
PLEASE HELP ME :(
evaluate each expression
7-9
Answers
Answer:
7. 64
8. -100000
9. 729
Step-by-step explanation:
I did it on a calculator.
List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution
Answers
Answer:
20
Step-by-step explanation:
If you take (2x+5) (2x+5) = 0
then 4x^2 + 20x +25 = 0
En el siguiente diagrama, Midtown se encuentra exactamente a mitad de camino entre Uptown y Downtown. ¿Cuál es la distancia entre Midtown y Lower East Side?
A-2.6 km
B-1.5 km
C-2.1 km
D-90 grados
Answers
Sabemos que el ángulo de uptown es 90 y el ángulo de downtown es 90 entonces son congruentes. Si midtown es exactamente la mitad del camino de uptown a downtown entonces la distancia de uptown a midtown es exactamente igual a la distancia de midtown a downtown. Como la línea de upper west side a lower east side es una transversal de la línea uptown a downtown, sabemos que el ángulo de upper,mid,up es vertical al ángulo down,mid,lower y eso significaría que esos did ángulos son congruentes. Usando el ASA theorem (ángulo, lado, ángulo) sabemos que los dos triángulos son congruentes entonces la línea de upper a mid es igual a la de mid to lower
:)))
Review the graph of complex number z.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (5, negative 5).
What is the polar form of z?
Answers
Answer:
It is D
Step-by-step explanation:
Looking at the Graph the point is at 5-5i
the only polar form that solves to 5-5i is D.
Also I did it on Edge.. Good Luck!
The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the complex number z represented on the graph as (5, -5). Therefore:
r = √(5² + 5²) = 5√2
Ф = tan⁻¹(-5/5) = -π/4
The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form
Find out more on equation at: https://brainly.com/question/2972832
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Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice. How much sparkling water does Jada need if she uses 8 coups of sparkling water.
Answers
Answer:
Step-by-step explanation:
2 cups of sparkling water with every 3 cups of apple juice = sparkling juice
Sparkling water : apple juice
2 : 3
How much sparkling water does Jada need if she uses 8 cups of apple juice.
Sparkling water : apple juice
x : 8
Equate both ratios
2 : 3 = x : 8
2/3 = x / 8
2*8 = 3*x
16 = 3x
x = 16 / 3
= 5.33 cups
Sparkling water = 5.33 cups
How much apple juice does Jada need if she uses 8 cups of sparkling water
Sparkling water : apple juice
8 : y
Equate both ratios
2 : 3 = 8 : y
2/3 = 8 / y
Cross product
2 * y = 3 * 8
2y = 24
y = 24 / 2
= 12
y = 12
Apple juice = 12 cups
NOTE: There is an error in your question, you wrote "How much sparkling water does Jada need if she uses 8 coups of sparkling water." but I solved for both sparkling water and apple juice using 8 cups since your question was not clear enough.
Explain why the slope of the line drawn in part C must be negative.
Answers
because it is a negative line in the graph
Calculate the quotient
2/5 divided by 3 4/7
Pls help lol this is due tomorrow
Answers
Answer:
8/105
Step-by-step explanation:
Answer:
the answer is 14/125
Step-by-step explanation: do keep flip switch
2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125
hopefully this helps out
The product of a number and negative 7/10 is 1/2 what is the number
Answers
Answer:
5/7
Step-by-step explanation
The product of a number and negative 7/10 is 1/2 can be written as 1/2=(7/10)x, with this equation, multiply by the reciprocal, 10/7, to make the right side of the equation just x. On the left side, multiply 1/2 by 10/7 because when you do something on one side, you must do it on the other. 1/2 times 10/7 equals 5/7. Leaving you with x=5/7
(7,-20), (1,-3)
Find the slope of the line through each pair of points
Answers
Plug the coordinates in the equation
-3-(-20)/1-7
17/-6
The slope is -17/6
Answer:
-17/6
Step-by-step explanation:
You find the slope by using the equation: y2-y1/x2-x1.
-20-(-3)/7-1
-20+3/6
-17/6
Which system of equations is represented by this graph?
Answers
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[tex]y = 2x + 3[/tex]
[tex]y = - \frac{1}{2} x - 3 \\ [/tex]
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Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream store for $8 per hour. Leah cannot work for more than 20 hours total per month for both jobs. Let x represent the number of hours Leah babysits and y represent the number of hours Leah works at the ice cream store. Which of the following graphs and system of inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours?
Answers
Answer:
its D
Step-by-step explanation:
5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x=babysitting hours paid at $5
y=ice cream shop hours paid at $8.
Total earned >120
total hours<20
So here is what our equations will look like:
5x+8y>120
x+y<20
Convert the first equation into y>mx+b format
8y>-5x+120
y>-5/8x+15
Convert the second equation into y>mx+b
x+y<20
y<-x+20
We can also solve this mathmatically by finding the point where our equations are equal:
-5/8x+15=-x+20
Add x to both sides to get:
3/8x+15=20
subtract 15 from both sides:
3/8x=5
divide both sides by 3/8:
x=13.33
The question asks us to round to the nearest whole hour, so the minimum she can babysit is 14 hours to still make $120 a week.
Hence, 5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours
To learn more on Inequality click:
https://brainly.com/question/28823603
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Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not? (2 points)
Answers
Answer:
if the points are in a straight line going upward then they are corect
but if the points are scattered they are wrong its hard to answer this question he graph to look at
Expand: fx=x^4-blankx^3+blank x^2 + blank x- blank
Answers
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 m to 20 m
HELP ME ILL MARK YOU !!
Answers
Answer:
3/5
Step-by-step explanation:
Matea recorded that water levels in one part of the river fell 1.05 millimeters per year for 2.48 years. Describe how you could estimate the total variation in water level.
Answers
Answer:
the answer is -13.64 i just took the test and it right promise.
Step-by-step explanation:
mark me as brainliest pls its right
Answer:
The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6
Raymond bought a book that cost C = 1.065x after sales tax. How could he rewrite the cost equation to emphasize the base price of the book and the amount he paid in tax? C= x + 0.065 A B. C= x + 0.065x с C=1+ 0.065 D C=1+ 0.0652
Answers
Answer:
C
Step-by-step explanation:
19 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio of new books to used books
Answers
Answer:
1:8
Step-by-step explanation:
You subtract 19 and 8, and you get 11 then you put them in ration form
Step-by-step explanation: