What is the equation of a line through point (-12,20) that is perpendicular to the line
with equation y=-6x + 4?
Answers
Find the slope of the perpendicular line
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of one of the lines = - 6
then the slope of the perpendicular line (m) = ¹/₆
Determine the equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 20 = ¹/₆ (x - (-12))
∴ y - 20 = ¹/₆ (x + 12)
We can also write the equation in the slope-intercept form (y=mx+c) like the equation in the question by making y the subject of the equation and expanding the bracket to simplify:
since y - 20 = ¹/₆ (x + 12)
y - 20 = ¹/₆x + 2
y = ¹/₆x + 22
∴ the slope-intercept equation of the perpendicular line is y = ¹/₆ x + 22.
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
Related Questions
The function y = -16x2 + 1500 gives a parachute jumper's height y in feet
after "X" seconds for a jump from 1500 feet. How long is free fall if the
parachute opens at 1100 feet?
Answers
Answer:
Step-by-step explanation:
so the question is asking about the time from 1500 feet to 1100 feet. How long did they fall, w/o a parachute. aka "freefall" so, at 1500 feet the jumper is really at time zero. so, plug in to the formula
1100 = -16[tex]x^{2}[/tex] +1500
( x represents seconds so i'll change it to t so we know it's time )
1100 = -16[tex]t^{2}[/tex] + 1500
now we can solve for t , to see how long the jumper falls
-400 = - 16[tex]t^{2}[/tex] ( subtracting 1500 from both sides of equation )
25 = [tex]t^{2}[/tex] ( dividing both sides by -16 )
oh.. look at how nice that turns out.. :)
[tex]\sqrt{25}[/tex] = t ( take the square root on both sides )
5 = t
the jumper fell for 5 seconds to get to 1100 feet
A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.
equiangular equilateral
acute right
acute scalene
acute isosceles
Answers
Answer:
acute scalene
Step-by-step explanation:
Hope it helps you in your learning process.
The triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a statement:
A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.
As we know, an acute scalene triangle is a triangle with no congruent sides and all angles smaller than 90 degrees.
Also,
A scalene triangle is one in which each side has a different measure.An isosceles triangle is one in which all sides are equal.An equilateral triangle is one in which all of its sides are equal.Thus, the triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
A dog is leashed to a point in the center of a large yard, so the area the dog is able of to explore is circular. The leash is 20 feet long (radius). What is the area of the region the dog is able to explore?
Answers
What is the vertical line that divides the parabola into two equal part?
Answers
Answer:
It would be the y-axis.
Step-by-step explanation:
Sheet metal costs $1.88 per square foot. About how much
will Nick spend to cover the outside of the shed, not
including the bottom?
Answers
Answer:
Final Cost: $364.72
Step-by-step explanation:
We can see a picture of the shed attached below. To find the total cost we need to first find the surface area of the entire shed. The sides are rectangles, so to find the surface area we need to multiply the length by the width. Since there are two rectangular sides we multiply the result by 2.
A = L * W
A = 10 * 4.7
A = 47 sq ft. * 2sides
Total = 94 sq ft.
Now we calculate the bottom which is also a rectangle
A = L * W
A = 10 * 8
A = 80sq ft.
Now we need to calculate the surface area of the triangular sides and multiply the results by 2 since there are two triangular sides. The formula for the area of a triangle is half times base times height...
A = 0.5 * B * H
A = 0.5 * 8 * 2.5
A = 10 sq ft * 2 sides
Total = 20 sq ft
Finally, we need to add the entire surface area and multiply by the cost per square foot to find the total cost.
94 + 20 + 80 = 194 sq ft
194* 1.88 = $364.72
Find the value of x.
Answers
Answer:
=147x2+406x−253
Step-by-step explanation:
In circle o,find the value of x, rounded to the nearest tenth.
Answers
Answer:
[tex]\huge\boxed{x \approx 5.4}[/tex]
Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
The line which is 8 units long is a chord of the circle.The line that is 3.6 is almost the radius of the circleThe line that x sits on is the radius.With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
[tex]\displaystyle a^2 + b^2 = c^2[/tex]Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
[tex]3.6^2 + 4^2 = c^2[/tex] [tex]12.96+16=c^2[/tex] [tex]28.96=c^2[/tex] [tex]\sqrt{28.96} = c[/tex] [tex]5.4 \approx c[/tex]Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!
Which of the following could be the number shown on the number line?
Answers
Answer:
I believe your answer would be C. square root of 67
Step-by-step explanation:
If 8 is the square root of 64 and the missing number is just over 8, square root of 72 would be too much and A. and D. would be too little. I do deeply apologize if this is incorrect.
please help me!! 8th grade math, Pythagorean Theorem
Answers
Answer:
Step-by-step explanation:
-To find the incline do:6^2+14^2=x^2
Than whatever your 6 and 14 equal, find the square root of it
Carolina va a repartir entre sus estudiantes una barra de chocolate, a Valeria le da 5/18, a Camila le da 1/3, a Carlos 2/9 y a Pedro 1/6. Al ordenar los estudiantes, desde el que recibió más chocolate hasta el que recibió menos, se obtiene:
Answers
Respuesta:
Camila> Valeria> Carlos> Pedro
Explicación paso a paso:
Dado que :
Valeria = 5/18
Camila = 1/3
Carlos = 2/9
Pedro = 1/6
Podríamos convertir las acciones recibidas a decimal para facilitar la comparación:
Valeria = 5/18 = 0,27777
Camila = 1/3 = 0.3333
Carlos = 2/9 = 0,2222
Pedro = 1/6 = 0.16666
Comparando los decimales:
0,3333> 0,2777> 0,2222> 0,16666
Camila> Valeria> Carlos> Pedro
find the value of x
9−5x=−8
Answers
Answer:
x= [tex]3\frac{2}{5}[/tex] or x=3.4
Find the volume of the cone.
Answers
It’s C
Hope this helps!
What are the coordinates of the midpoint of this
segment?
Type them into the table below
Answers
ANSWER: (5,2)
Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .
Answers
Answer:
13 x 50 = 650
Step-by-step explanation:
Answer:
75 ft
Step-by-step explanation:
Find the length of each arc. Use the exact answer
Answers
Answer:
Option D = 16π/3 ft
Step-by-step explanation:
Arc length formula is written Mathematically as:
Arc length = 2πr × θ /360
r = 4 ft
θ = Central angle in degrees = 240°
2 × π × 4 × 240/360
8π × 240/360
8π × 20/30
16π/3 ft
So, the arc length is 16π/3 ft
Multiply plz
7(8x + 3)
I will mark brianlest if you can answer all of the questions in the pic.
Answers
8(8x+4) = 64x+32
4(8x+4) = 32x+ 16
An initial investment of 500 compounds continuously at 5% interest ratebe the number of years that the money has been on deposit. Assuming no other deposits are made to the accountwhat will the balance in the account be after years?
Answers
solve each system by substitution
1/2x+1/3y=6
x-y==2
Answers
Step-by-step explanation:
First, let's rewrite the equations.
1/2x + 1/3y =6
x - y = 2
The easiest system to use for substitution is the second one. Let's solve for X.
x - y = 2
add y to both sides!
x = 2 + y
Now that we know x = 2 + y we can use it to substitute in the first equation.
1/2(2 + y) +1/3y = 6
1 + 1/2y +1/3y = 6
5/6y = 5
y = 36/5
If x is the price of an item and it is marked 20 % off during the sale, what is the sale price?
Answers
Answer:
The sale price is 80% of x or x*0.8.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
What must be the annual payment you receive in order to earn 6.3% rate of return on a perpetuity that has a price of $245.1? (Answer in $s to the nearest cent, i.E. Xx.Xx, with no $-sign or commas needed.)
Answers
Answer:
the annual payment received is 15.44
Step-by-step explanation:
The computation of the annual payment received is shown below:
As we know that
Perpetuity = Payment ÷ rate of return
$245.1 = Payment ÷ 6.3%
So, the payment is
= $245.1 × 6.3%
= 15.44
Hence, the annual payment received is 15.44
We simply apply the above formula so that the annual amount could come
Without calculating, will the product below be greater than, less than, or equal to 5/12
Answers
Answer:
i think it would be less than
Step-by-step explanation:
If the length of the longer leg in a 30°-60°-90° triangle is 5V3, what is the length of the shorter leg?
A. 3
B. 5
C. 5v2
D. 10
Answers
Answer:
B. 5
Step-by-step explanation:
Let x = length of shorter leg
longer leg = [tex]\sqrt{3}[/tex] times the shorter leg
5[tex]\sqrt{3}[/tex] = x[tex]\sqrt{3}[/tex]
x = 5
in 3/4 of an hour Ryan codes 3/5 of his game. at this rate how much of the game can he code in 1 hour
Answers
Answer:
In one hour, he can code 4/5, 80%, of the game.
Step-by-step explanation:
If he can code 3/5 of his game in 3/4 hour, 60% in 45 minutes, he can code 20% every 15 minutes.
helpppp helping my sister
Answers
Answer:
i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie
Step-by-step explanation:
Set background
Clear frame
Open on a Jamboard
3. What is the value of x? Show your work!
X Х
(9x -13)°
(6x + 23)
10
Answer:
x =
Answers
Answer:
x = 12
Step-by-step explanation:
These are corresponding angles, so they're equal to each other:
9x - 13 = 6x + 23
9x - 6x = 23 + 13
3x = 36
x = 12
If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 4 tails?
Answers
Answer:
9000
Step-by-step explanation:
9+648o30p
Answer:
1000
Step-by-step explanation:
it may not be right but i tried
this graph shows the temperature in Diego's house between noon and midnight one day
Answers
Answer:
need picture bro
Step-by-step explanation:
65.6g of sugar is needed to make 8 cakes. How much sugar is needed for 5 cakes?
Answers
Answer:
41 grams
Step-by-step explanation:
Ratios:
[tex]\frac{65.6}{8} =\frac{x}{5} \\\\8x=328\\x=41[/tex]
41 Grams of sugar
Explanation:
65.6/8 = 8.2
So means 8.2 grams of sugar per cake then,
8.2 x 5 = 41 grams of sugar
Hope this helps! :)
Of the marbles in a bag, 5 are blue, 2 are white, and 2 are yellow. Sandra will randomly choose one marble from the bag.
Answers
Answer:
[tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given that,
A bag contains 5 blue, 2 white and 2 yellow marbles.
We need to find the probability of choosing a white marble from the bag.
Total no. of outcomes = 5+2+2
= 9
No. of white marbles = 2
Required probability,
[tex]P=\dfrac{2}{9}[/tex]
So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].
HELP ASAP
Select the correct answer.
Select the simplification that accurately explains the following statement.