Answers
Answer:
The equation in point-slope is [tex]\mathbf{y+5=3(x-6)}[/tex]
Step-by-step explanation:
We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line [tex]y=-\frac{1}{3}x+4[/tex]
The general form of point-slope is; [tex]y-y_1=m(x-x_1)[/tex]
where m is slope and [tex](x_1,y_1)[/tex] is the point
We need to calculate slope.
We are given equation of line [tex]y=-\frac{1}{3}x+4[/tex] that is perpendicular to the required line.
The equation is given in slope-intercept form [tex]y=mx+b[/tex] where m is slope.
Comparing both equations we get m= -1/3
But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e [tex]m=-\frac{1}{m}[/tex]
So, slope of required line is m = 3 (opposite reciprocal of -1/3)
Now, the equation in point-slope form having slope m=3 and point (6,-5) is
[tex]y-y_1=m(x-x_1)\\y-(-5)=3(x-6)\\y+5=3(x-6)[/tex]
So, The equation in point-slope is [tex]\mathbf{y+5=3(x-6)}[/tex]
Related Questions
Determine whether the ordered pair is a solution of the linear inequality.
x ≤ 3; (–2, 6)
Answers
Answer:
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Step-by-step explanation:
Given the linear inequality
x ≤ 3
substitute the value of x = -2
-2 ≤ 3
TRUE
It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.
Also,
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Answer this question quickly plz
Answers
Answer:
a.
1 quarter=0.25
240*0.25=60
again,
b.349/60=5.81 weak
Answer:
Step-by-step explanation:
a) he saves £60 per week
b) 60 x 6= 360
he needs to save £60 for 6 weeks to have enough money to buy a bike
Help!!! Will give brainliest!!
Answers
the sum of three angles of a triangle adds up to 180 degrees. In this problem, you are given two angles.
x+(2x+15)+the measure of angle Q should equal 180.
Since everything is addition, the parenthesis can be removed.
x+2x+15+Q=180. This can then be simplified to 2x+15+Q=180. Subtract 15 from both sides to get 2x+Q=165. Divide both sides by two to get the x by itself. x+Q=82.5.
Unfortunately I don't really know what to do from here, but I hope it helped at least a little.
What are the three methods to solve a system of linear equations?
Answers
What is the value of 1 − 2sin^2(105°)?
A.) -√3/2
B.) -1/2
C.) 1/2
D.) √3/2
Answers
Answer:
a
Step-by-step explanation:
edge
Answer:
a
Step-by-step explanation:
edge
There are 6 blue markers, 4 red
markers and 5 green markers. What
is the ratio of blue to total markers?
Answers
Answer:
9 is the answer to that question
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Answers
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
FAST THIS IS TIMED
PLEASE HELP ME I REALLY NEED IT THANKS MUCH
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision. (5 points)
Answers
Answer:
No, he is not correct he spends 25% more time on his homework
Step-by-step explanation:
25/20 =1.25 -1 =.25 x 100 =25% more time spent on his HW.
Answer:
Yes he is correct
Step-by-step explanation:
125% × 20 =
(125 ÷ 100) × 20 =
(125 × 20) ÷ 100 =
2,500 ÷ 100 =
25;
How many moles of mercury, Hg is in a sample of 505 grams?
Answers
Answer: 2.52Hg
Step-by-step explanation:
First and foremost, we should realize that:
1 moles Mercury = 200.59 gram
Therefore, the number of moles of mercury, Hg is in a sample of 505 grams would be calculated as:
= 505/200.59
= 2.52
I need some answers be quick pls. If you get it right I will give you brainliest
Answers
Step-by-step explanation:
multiple the power and real number
Answers;
a) Multiply 2 by 3: 6ab.
b) Multiply [tex]c^{5}[/tex] by c by adding the exponents: c^6 or [tex]c^{6}[/tex].
c) Simplify the expression. 10y^7 or [tex]10y^{7}[/tex].
d) Simplify the expression. 12g^4h^5 or [tex]12g^{4}h^{5}[/tex].
Ob babysits the kids next door every day after school for 1.5 hours. He earns $3.50 an hour. How much money will he earn in 6 weeks if school is in session 5 days a week the whole time? Show your work.
Answers
Answer:
$157.5
Step-by-step explanation:
Given that:
Number of hours worked after the school = 1.5 hours
Earnings per hour = $3.50
Earnings for one day or 1.5 hours = 1.5 \times 3.50 = $5.25
Earnings for 5 days or a week = Number of days [tex]\times[/tex] Earnings for 1.5 hours = 5 [tex]\times[/tex] 5.25 = $26.25
Number of weeks for which Ob works = 6
Total earnings in 6 weeks = Number of weeks [tex]\times[/tex] Earnings in one week = Number of weeks [tex]\times[/tex] Earnings in 5 days
Total earnings in 6 weeks = 6 [tex]\times[/tex] $26.25 = $157.5
-14=6x-8(x+3)
use the distributive property And show the steps that you did
Answers
Answer:
x=-5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Write as a decimal. Use bar notation if necessary.
Answers
Which expression is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot?
Answers
Answer:
C
Step-by-step explanation:
used a calc and took test
PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.
Answers
Answer:
No, they are not inverses.
Step-by-step explanation:
To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:
(Remember that f(x)/g(x) and y are virtually the same)
y = -4x + 2
Switch x and y
x = -4y + 2
Now solve for y
x - 2 = -4y
[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]
Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.
I hope this helps!!
- Kay :)
If I have an acid with a pH of 5 and an acid with a pH of 3 which is stronger and by how much? 5, by 10 times
3, by 100 times
3, by 10 times
Answers
Answer:
3, by 100 times
Step-by-step explanation:
a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.
Your job is to sort and sack marbles for sale a bag contains 55 marbles some red and some green if there are 11 red marbles what is the ratio of red to green marbles?
Answers
Answer:
1:4
Step-by-step explanation:
There are only two colours available, red and green. We know that there are 11 red marbles and 55 marbles altogether, so the number of green marbles must be 55 - 11, or 44. That means that the ratio of red to green marbles is 11:44, or 1:4.
While on a business trip to Belleville, Cindy treated her co-workers to a meal that cost $2.86. Cindy knew that when the bill came, she would need to pay Belleville sales tax of 15% and would want to leave an 18% tip on the original $2.86. Including tax and tip, how much did Cindy's meal cost?
Answers
Answer:
i think about $3.80
Step-by-step explanation:
Sarah bought a binder for $7.25 and 6 folders that totaled $9.05. How much did each folder cost?
Step by Step Directions
Please
Answers
Answer: If Sarah's total was $9.05 and the binder costs 7.25 then in order to find the price of the folders you must subtract the cost of the binder (7.25) from the total (9.05) which leaves $1.80 as the amount she paid in total for 6 folders.
Step-by-step explanation:
Find the missing angle in the triangle below
Answers
Answer:
120
Step-by-step explanation:
Exterior angle theorem
50 + 70 = 120
Answer:
120
Step-by-step explanation:
the insides of a triangle add up to 180 degrees. You're given 70 and 50 degrees which add to 120 and that means the other angle is 60 degrees. Since you're trying to find an outside angle, you need to do subtract the 60 degrees we just found from 180 (because its a supplementary angle). 180-60 is 120 and thats the answer
Write the word sentence as an equation.
t less than 5 is 12
Answers
Answer:
t-5=12
Step-by-step explanation:
Order from least to greatest, (15 points) and brainy award.
Answers
Answer:
pi/2 ... 2pi -square root 9..... and then pi +3
Step-by-step explanation:
pretty much the opposite of what it is now
Which point on the graph best represents the location of (-45. - 7)?
ASAP
Answers
Answer:
I am sure it is the point N. I apologize if im wrong but the image quality is horrible. If I am wrong then it is O.
The options are
0
1
2
4
Answers
Answer:
it is 1
Step-by-step explanation:
because the line goes through 1 on the y-axis
Answer:
The answer is 1
Step-by-step explanation:
Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches. a. 2.45 inches c. 8.25 inches b. 4.55 inches d. 3.65 inches
Answers
Answer:
The height of the right circular cylinder is 4.55 inches ⇒ b
Step-by-step explanation:
The formula of the surface area of a right circular cylinder is
S.A = 2πrh + 2πr², where
r is its radiush is its height∵ The surface area of a right circular cylinder is 300 square inches
∴ S.A = 300 in.²
∵ Its radius is 5 inches
∴ r = 5 in.
∵ π = 3.14
→ Substitute them in the rule above
∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²
∴ 300 = 31.4h + 157
→ Subtract 157 from both sides
∵ 300 - 157 = 31.4h + 157 - 157
∴ 143 = 31.4h
→ Divide both sides by 31.4
∵ 4.554140127 = h
∴ 4.55 = h
∴ The height of the right circular cylinder is 4.55 inches
Answer:
B.) 4.55
Step-by-step explanation:
Edge 2021
Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card to
buy one cup of coffee. Each cup of coffee costs $4 and the original amount of money
on the gift card was $20. Make a table of values and then write an equation for A, in
terms of x, representing the amount money remaining on the card after buying x
cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
Answer: A =
Answers
Plz help 50 points
Help on number 2 and 3 please. What if you can’t read number 3’s answer it is;
A.8
B. 1/8
C.2/9
D. 9/2
Plz help on number 2 and 3
Answers
Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!
Given a mean of 80 and a standard deviation of 3, label the normal curve below.
Answers
Answer:
The points from the left;
71, 74 , 77, 80, 83, 86 , 89
Step-by-step explanation:
Here, we want to label the normal curve given the mean and the standard deviation
From what we have, the central part is the mean while the other parts are deviations from the mean
We will label the graph starting from the left to the right
1 is 3 SD from the mean (negatively)
That will be 80-3(3) = 80-9 = 71
2 is 2 SD away
That will be;
80 -2(3) = 80-6 = 74
The 3rd part is 1 SD away
That will be 80-3 = 77
The midpoint is for the mean which is 80
The point after this will be;
80 + 3 = 83
The point after this will be;
83 + 3 = 86
Next is
86 + 3 = 89
Write the ratio
2/3 /5
in simplest form
Answers
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15
The equation x+3y=2 can be rewritten in the equivalent form y=___x+____ which revels a slope equals to ___
-3,-2,-1,-2/3,-1/3,1/3,2/3,1,2,3
Answers
Hello!
[tex]\large\boxed{Slope = -\frac{1}{3}}[/tex]
x + 3y = 2
Rewritten into slope form: y = mx + b
Find the slope when rewritten:
Move x to the right hand side of the equation. (Subtract)
x - x + 3y = 2 - x
3y = 2 - x
Divide both sides by 3:
y = 2/3 - 1/3x
Rearrange:
y = -1/3x + 2/3.
The slope is equivalent to -1/3.