Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x+16\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{1} \implies -3}}[/tex]
so we're really looking for the equation of a line whose slope is -3 and it passes through (-9 , 13)
[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{13})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-9)}) \implies y -13 = - 3 ( x +9) \\\\\\ y-13-3x-27\implies {\Large \begin{array}{llll} y=-3x-14 \end{array}}[/tex]
Answer:
m = 1/3
m⊥ = -3
x1 = -9
y1 = 13
point slope: y-13 = -3(x+9)
slope intercept: y= -3x-14
Step-by-step explanation:
Equation given is in y=mx+b form, so I think m=1/3 (or whatever is right before the x cause it is little hard to see)
To find a perpendicular slope, you use the negative reciprocal of the given slope, so the perpendicular slope would be m=-3
x1 and y1 would be the given coordinates so -9 and 13 respectively
Finally plug in all this info into point slope form equation (y-y1 = m(x-x1)
Point slope would be: y-13 = -3(x+9)
Slope intercept would be: y= -3x-14
Hope this helps!
Related Questions
A waitress sold 15 ribeye steak dinners and 28 grilled salmon dinners, totaling $551.97 on a particular day. Another day she sold 24 ribeye steak dinners and 14 grilled salmon dinners, totaling $581.91. How much did each type of dinner cost?
Answers
Answer:
Ribeye (ea) = $18.54
Salmon (ea) = $9.78
Step-by-step explanation:
x is the price for each ribeye steak
y is the price for each grilled salmon
15x + 28y = $551.97 (a)
24x + 14y = $581.91 (b) -----(x2)------> 48x + 28y = 1163.82 (c)
Subtract c with a
48x + 28y = 1163.82 (c)
15x + 28y = $551.97 (a)
=================== -
33x = 611.85
x = 18.54
Put the value of x into a
15 · 18.54 + 28y = 551.97
278.1 +28y = 551.97
28y = 273.87
y = 9.78
In conclusion, the price of 1 ribeye is $18.54, and the price of 1 salmon is $9.78.
Suppose the pyramid is sliced so that the cross-section is a trapezoid. How can you slice the pyramid to get a trapezoid?
Answers
Answer: Slice the top off
Step-by-step explanation:
Please correct two and three if it’s wrong, also please answer 4 and 5 if you can I’m stuck.
Answers
2. The area of the trapezoid is 3, 584. 88 centimeters square
3. Area = 468, 975 ft²
4. Area = 3682. 04 m²
5. 94, 386. 93 mi²
How to determine the areaThe formula used for calculating the area of a trapezoid is expressed as;
A = 1/2h( a + b)
Such that the parameters are given as;
A is the area of the trapezoidh is the height of the trapezoida and b are the side lengthsSubstitute the values, we have;
2.
Area = 1/2 × 23. 4(61. 2 × 92)
multiply the values
Area = 1/2 × 23.4(153.2)
multiply the values
Area = 1/2(3584. 88)
Now, divide the values, we get;
Area = 3, 584. 88 centimeters square
3. Area = 1/2 × 555 (463 + 1227)
Add the values
Area = 1/2 × 555(1690)
multiply the values
Area = 468, 975 ft²
4. Area = 1/2 × 63 × (41. 56 + 75.33)
add the values
Area = 1/2 × 63 × (116. 89)
multiply the values
Area = 3682. 04 m²
5. Area = 1/2 × 306. 7 (206. 6 + 408. 9)
Add the values
Area = 94, 386. 93 mi²
Learn about area at: https://brainly.com/question/25292087
#SPJ1
A store is running a "buy 3 get 2 free" promotion on twelve-packs of soda. Each twelve-pack costs $5.49. How much will Peter pay for 25 twelve-packs of soda?
Answers
Answer: $82.35
Step-by-step explanation:
For every 3 you buy, you get 2 free. This means out of every 5 twelve-packs, you pay for 3 of them, or 60%.
3/5 = 0.6 or 60%
So, if you buy 25 of them, you pay for 60% of 25 twelve-packs, or 15 of them.
25 x 0.6 = 15
If you are paying for 15 twelve-packs, and each one is $5.49, then the total would be $82.35.
15 x 5.49 = 82.35
Answer:82.35
Step-by-step explanation:
For every 3 you buy, you get 2 free. This means out of every 5 twelve-packs, you pay for 3 of them, or 60%.
3/5 = 60%
if you buy 25 of them, you pay for 60% of 25 twelve-packs, or 15 of them.
25 x 0.6 = 15
15 twelve-packs, each one is $5.49, then the total would be $82.35.
15 x 5.49 = 82.35
need help ASAP, would appreciate the assistance very much.
Answers
(Question 1)
What are Corresponding Angles?A pair of angles formed by two parallel lines and a transversal are said to be the corresponding angles.
Corresponding angles are formed only when,
One of them is interior and the other is exteriorThey are on the same side of the transversal andThey are not at the same vertexThe pairs of Corresponding Angles in the given figure are —
∠1 and ∠3∠2 and ∠4∠5 and ∠7∠6 and ∠8You can write any two of them because the question says to write any two Corresponding Angles.
(Question 2)
What are Alternate Interior Angles?Alternate angles that lie in the interior region of both the lines are called alternate interior angles.
Alternate Interior Angles are formed only when,
Each pair of alternate interior angles is equal.Each pair of co-interior angles is supplementary.The pairs of Alternate Interior Angles in this given figure are —
∠2 and ∠7∠3 and ∠6These are the only two pairs of Alternate Interior Angles.
(Question 3)
What are Alternate Exterior Angles?Alternate angles that lie in the exterior region of both the lines are called alternate exterior angles.
Alternate Exterior Angles are formed only when,
Both lie on the exterior side of the lines.They are placed on the opposite sides of the transversal.The pairs of Alternate Exterior Angles in this given figure are —
∠1 and ∠8∠5 and ∠4These are the only two pairs of Alternate Exterior Angles.
(Question 4)
In this given Figure, Line segment AB is parallel to Line segment CD.
∠1 = 154° [Alternate Interior Angles]
∠2 = 180 - 154° [Linear Pair]
= 26°
(Question 5)
In this given Figure, Line segment AB is parallel to Line segment CD.
∠1 = 97° [Corresponding Angles]
∠2 = 82° [Corresponding Angles]
∠3 = 180 - 97° [Linear Pair]
= 83°
Hope my answer helps you ✌️
Mark BRAINLIEST
I NEED HELP ASAP with a science experiment give me ideas what experiments (mini-labs) I could do based on the task! READ THE SCREENSHOT
Answers
Answer: You should do a representation of how the heat and light waves reach humans on earth and keep us warm.
Step-by-step explanation:
all your answers are already in the task introduction.
1. Make earth out of styrofoam ball (buy at a dollar store) and paint. (blue and green). (If you want to make humans out of popsicle sticks)
2. Use velvet pipe cleaners (blue for cold air and red for hot air) to represent convection and conduction.
3. Use yellow pipe cleaners for solar energy to represent radiation.
4. Rest is up to you for how you want it to look.
Please help!!
Which two points would a line of fit go through to best fit the data?
(3, 6) and (7, 3)
(3, 7) and (9, 1)
(1, 9) and (5, 7)
(1, 7) and (2, 5)
Answers
Answer:
(a) (3, 6) and (7, 3)
Step-by-step explanation:
You want the two points that best describe a line of best fit through the data shown on the given graph.
Line of best fitA calculator finds the slope of the line of best fit to be about -0.74. The pair of points that best matches that is ...
(3, 6) and (7, 3) . . . . choice A
The line through these points has a slope of -0.75 and is very close to the best-fit line. The attachment shows how the various point pairs relate to the computed line. The answer choice points are the larger red dots.
__
Additional comment
The slope of the line of best fit is the ratio of the covariance of x and y to the variance of x:
m = cov(x, y)/var(x) = -7.744/10.455 ≈ -0.741
<95141404393>
Please help will give brainlest and special thanks
Answers
Answer:50.24 is the closest its really 50.26
Step-by-step explanation:
Multiply. (x + 5)(2x - 6)
Answers
Answer: 2x2+4x−30
Step-by-step explanation:
Answer: D) 2x² + 4x - 30. Step-by-step explanation: Follow the FOIL method: FOIL = First. Outside. Inside. Last ...and is the order you multiply to solve
Step-by-step explanation:
AHHH I NEED THESE QUESTIONS !!!!!!!
Answers
Answer: 540 degrees! :D
Step-by-step explanation:
So you can see, there is a little angle on the inside of the pentagon already. How many letters are there on each of the little corners? 5.
You would multiply 108 times 5. That comes out to 540 degrees!
Hope this helps! :)
Answer: It's B) 540°
Step-by-step explanation: I just multiplied 108 by 5 since there are 5 angles on that pentagon.
Hope It Helped! :D
A water dispenser fills 4 glasses in 32 seconds. How many glasses will be filled by the dispenser in 128 seconds?
A. 8
B. 40
C. 16
D. 24
Answers
Answer: C
Step-by-step explanation:
32/4 = 8 ( the unit rate )
And then if you do 128/8 you get 16
Hi hi
need help with this work asap
Answers
Answer:Top question:Table =0.8
Constant of proportionality is 1.25?
a)The speed they are going at?
b)187.5(units which are being used)
c)0.4 hours=24 minutes
Step-by-step explanation:
a)The formula is distance=speed x time. Speed is only one missing
b)Substitute into the formula 75 x 2.5=187.5
c) Re-arrange the formula so it becomes time = distance/speed
Substitute into it so it become time=30/75
=0.4
=24 minutes
I think...
Answer:
Step-by-step explanation:
Top question:Table =0.8
Constant of proportionality is 1.25?
a)The speed they are going at?
b)187.5(units which are being used)
c)0.4 hours=24 minutes
Step-by-step explanation:
a)The formula is distance=speed x time. Speed is only one missing
b)Substitute into the formula 75 x 2.5=187.5
c) Re-arrange the formula so it becomes time = distance/speed
Substitute into it so it become time=30/75
=0.4
=24 minutes
Of course, not all numbers are perfect squares. Complete the table by indicating whether the numerical value in each equation is a perfect square. If it isn’t a perfect square, indicate which perfect squares it is between.
Answers
Answer:
16,49 and 121 are perfect squares
Step-by-step explanation:
hope it helps :)
YALLLLL HELP ON THIS ONE FAST PLEASEEEEE++++++++++
josh has 52 euros saved. In his savings, he only has banknotes of 5 euros and coins of 2 euros .How many banknotes and coins does he have in his savings?
Answers
Answer:
59 euros
Step-by-step explanation:
Josh has a total of banknotes and coins as 59 in his savings.
A method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Since Unitary method is a technique by which we find the value of a single unit from the value and the value of more than one unit from the value of a single unit.
We are given that Josh has 52 euros saved.
In his savings, we can see that he only has banknotes of 5 euros and coins of 2 euros.
Therefore, 52 euros he have
Then 52 + 5 notes + 2 coins
= 59
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ1
Help with number 4 please
Answers
HELP PLEASE I DONT KNOW ANYTHING
Answers
Answer: A=2cm
Step-by-step explanation:
All the sides of a regular hexagon are equal. SO PQ is the same as MN
Answer: It's A) 2 cm
Step-by-step explanation: All the sides are the same length.
Good luck!
Which number sentence is true?
Answers
Answer: D for Q 1. A for Q 2.
Step-by-step explanation:
Answer:
Step-by-step explanation:
-7 2/6>-13
is true because when u calculate the denominator by the numerator its the only real number
....................
Answers
Answer: 350
Step-by-step explanation:
Divide it by the centimeter
Answer:
350 (*^▽^*)
Step-by-step explanation:
can someone please help me i dont understand
Answers
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
Group of answer choices
900
2,000
2,100
4,000
Answers
Answer:
I haven't done anything like this for many years, but i think the answer is 900
Step-by-step explanation:
5000/ 150 = 33.33333333
33.3333333 X 27 = 900
Again, I haven't done this in forever, but I'm 99% sure it is 900. :)
27/150= 0.18
so 18% of the 150 people like mustard
then 0.18 x 5000= 900
meaning it’d be estimated around 900
give me the exact equation and answer thxs
Answers
Answer:
Equation: 25x = 175
Answer: x = 7
Step-by-step explanation:
Answer:
Equation: 25x=175
Answer: X=7
hope this helps!
Please solve this, Im offering 10 points
Answers
Explanation- i just know
Answer:
Use the 'Keep, Change, Flip/Reciprocal' (KCF) method.
• 6/3 × 4/2
Then, multiply both numerators together and both denominators together.
• 24/6
Simplified: 4
Please help will give brainlest and special thanks
Answers
Answer:
i did this the answer is 15.7
Step-by-step explanation:
all you have to do is 10 x 15 = 15.0 and than do 15.0 x 100= 15.7
Julie's remote control helicopter rises 15 feet in 20 seconds. what is the rate of rise in feet per hour ?
Answers
Answer:
Step-by-step explanation:
2700 feet/hour
PLEASE HELP IM BEGGING
the net of the triangular prism and its appropriate dimensions are shown in the diagram which measurement is the closest to the total surface area of the triangular prism in square inches
Answers
Answer:
Step-by-step explanation:
Find the surface area of the shape and add them together
The tape diagram represents an equation. Write an equation to represent the image.
Answers
Answer: 6t = 9
Step-by-step explanation:
What is visually explicable is that the 2 tape diagrams are equal.
One tape diagram equals 9, one is divided into 6 equal parts, each equals t.
6t's make up a diagram that is equal to a diagram equal to 9.
therefore 6t=9
3 If you add another layer to figure B, what would the volume be? Explain.
Answers
5 × 3 × 4 = 120 units³
now
120×2 = 240units³
Answer:
120×2 = 240units³ =)
Step-by-step explanation:
2x = -28
Is it horizontal or Vertical?
Please help me on this asap!!!!
Answers
2x=-28
x=-28÷2=(-14)
I hope it helps you
plsssss help find the area of the shaded region
Answers
Explanation:
First you find the radius which has been given, it is 8.
You then plug it into area formula (pi r squared)
*pi = 3.14*
use a calculator and type in 3.14(8)^2
you will get 201 (rounded)
Second find the area of the square which is 12 times 12 equals 144
Now do 201-144= 57! Which is the shaded region :)
pls helpppp box plot
Answers
Answer:
Hello the answer : C. :)
Step-by-step explanation:
H
Answer: c
Step-by-step explanation:
You start from the range so you subtract 34-24=10 and the median is 31