Which is the equation of the line through the point (−3, 8) that is perpendicular to the line y=14x+12?

Answers

Answer 1

Answer:

y = -1/14x + 109/14

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 14x + 12. Its slope is 14. A line perpendicular to this one will have a slope of -1/14.

Plug this value (-1/14) into your standard point-slope equation of y = mx + b.

y = -1/14x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-3, 8). Plug in the x and y values into the x and y of the standard equation.

8 = -1/14(-3) + b

To find b, multiply the slope and the input of x (-3)

8 = 3/14 + b

Now, subtract 3/14 from both sides to isolate b.

8 - 3/14 = b

112/14 - 3/14 = b

109/14 = b

Plug this into your standard equation.

y = -1/14x + 109/14

This equation is parallel/perpendicular to your given equation (y = 14x + 12) and contains point (-3, 8)

Hope this helps!

Which Is The Equation Of The Line Through The Point (3, 8) That Is Perpendicular To The Line Y=14x+12?

Related Questions

If logx = – 4, what is x?​

Answers

Answer:

solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.

Exact Form:

x=  1/10000

Decimal form:

x=0.0001

Hopes this helps:

Answer: x = 1/10000

1. Use definition of common logarithm:
b^a = x if and only if logb (x) = a.
X = 10^-4


2. Use negative power rule x^-a = 1/x^a.
X = 1/10^4


3. Simplify 10^4 to 10000.
X = 1/10000

Which number line represents the solution to 5x < 30? F # 10 0 2 4 6 8 + 0 2 4 6 8 10 H +00 0 4 6 10 N J o 2 4 6 8 10​

Answers

Answer:G i think sorry if wrong

Step-by-step explanation:

Answer:G

Step-by-step explanation:

help asap ill give brainliest

Answers

Answer:18

4x +108=180

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

a straight angle is a total of 180 degrees so you subtract 108 from 180 to get 72 and then divide by 4 to get 18

A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local station WDHS (at location (0,0)) sends it signal out with a coverage radius of 5 miles. 1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning. 2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

Answers

Answer:

1. We would hear better at Dunkin's since its distance from the radio station is the shortest.

2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.

Step-by-step explanation:

1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.

We need to find the distance of each point from the tower.

The shorter the distance from the radio station the better the signal.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.

2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.

So, we calculate the distance of each point from the radio station.

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.

So, McDonald's is out of range of the radio station.

Marla made $42 babysitting
for 5 hour's. How much money
did she make each hour?
A $8,40
B. 18.10
C. $1.90
D. $11.90
Help please

Answers

Answer: she made $8.40

Step-by-step explanation: divide 42 by 5 to get your answer

Answer:

A - $8.40

Step-by-step explanation:

You would have to do 45÷5

willl give brainlyist if quick its timedd

Answers

Answer: 0

Step-by-step explanation: The answer is 0

Answer:

y=0

Step-by-step explanation:

Can you help me find the B plzzz

Answers

Answer:

B=80

Step-by-step explanation:

B is the same answer as the number on the other side

Answer: B= 80

B is the same answer as the other number

WILL MARK BRAINLIEST HELP ASAP ASAP

Answers

Answer:

B

Step-by-step explanation:

I got this answer correct on a test

Find the area of the circle. Round you answer to the nearest hundredth.

Answers

Answer: well first you need to send the picture

Step-by-step explanation:

1. Take the picture

2. Post it to brainly

3. Get your answer

Can anyone please help me I’ll give you brain list

Answers

Answer:

3a. yes

3b. y= 75x

3c. 600 mi

3d. 10 inches

Step-by-step explanation:

3a: if you divide the y by the x, you'd get 75 everytime, meaning it's proportional.

3b: y would equal the amount of inches multiplied by 75, so y=75x

3c: you can use the equation and substitute the x for 8, so y=75(8), giving you 600 miles

3d: you can also use the equation in reverse, if the actual miles is 750, then this is your y, so it would look like 750=75x and to solve you'd divide, 750/75, giving you 10 inches

HELP PLEASE! I NEED TO SUBMIT SOONN!!
I WILL GIVE ALOT OF BRAINLIST
2. For what value of x will the
rectangle at the right be a
square?

Answers

Answer:

x=1

Step-by-step explanation:

x+2=2x+1

x=1

sides of a square must be equal

(9.1 × 109)(7.5 × 102)

Answers

Answer:

758803.5

Step-by-step explanation:

that's what i got- no idea if it's right though-

The first one is 1,631.9 the second is 765.0

Find the volume of the prism. ____ cu. ft.
HELPP IM TAKING A TEST AND I WILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

12 (tell me if im wrong sorry if i am)

Step-by-step explanation:

21. identify the secant that intersects OA.

Answers

Answer: Line BC

=============================================================

Explanation:

A secant line cuts the circle so that part of the line is inside the circle, and the rest (or majority) of the line is outside the circle. In other words, the secant line intersects the circle at exactly two points.

This is in contrast to a tangent line that only touches the circle at exactly one point. Line L is the tangent line in this case.

Segment DC is a diameter of the circle as it goes through the center, and this segments endpoints are on the circle's edge. The segments AD and AC are radii of the circle.

Answer:

Line BC

Step-by-step explanation:

Answer this please 7= - w/8

Answers

Answer:

[tex]w = - 56[/tex]

Step-by-step explanation:

[tex]7 = \frac{ - w}{8} [/tex][tex] \frac{ -w }{8} = 7[/tex][tex] - 8 \times \frac{ - w}{8} = - 8 \times 7[/tex]

[tex] - 1 \times ( - w) = - 8 \times 7[/tex]

[tex]1 \times w = - 8 \times 7[/tex]

[tex]w = - 8 \times 7[/tex]

[tex]w = - 56[/tex]

Hope it is helpful....

solve the equation d - 4= -12

d=16
d= - 16
d=8
d= - 8

Answers

-8 would be the correct answer!

Solve for x : (X+4) (x-3) =0

Answers

Answer:

x=-4,3

Step-by-step explanation:

x+4=0

x=-4

x-3=0

x=3

Rafael drove 819 miles in 13 hours. At the same rate how many miles would he drive in 5 hours

Answers

Answer:

315

Step-by-step explanation:

819 miles/13 hours = 63 miles per hour

63 x 5 = 315

If a radius of a circle is 30 inches then it’s diameter is what? Please help ty!

Answers

Answer:

60 inches

Step-by-step explanation:

Radius is 1/2 of a diameter, so diameter is twice a radius. 30 x 2 = 60 inches

Hope that helps! :)

-Aphrodite

PLZ PLZ PLZ HELP ME PLSSSSS

Answers

Answer:

x = 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c we know that the inside angles of a triangle add to 180

180 = 38 + x + x + 2

180 = 40 + 2x

140 = 2x

70 = x

solve for y. -5(6+7y)= -5(6+y)​

Answers

Simplify to -30-35y=-30-5y
Move all ys to the right and move constants left, -30y= 0
Divide by -30
y=0

Answer:

y = 0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5(6+7y)=−5(6+y)

(−5) (6) + (−5) (7y) = (−5) (6) + (−5) (y) (Distribute)

−30 + − 35y = −30 + −5y

−35y − 30 = −5y −30

Step 2: Add 5y to both sides.

−35y − 30 + 5y = −5y −30 + 5y

−30y −30 = −30

Step 3: Add 30 to both sides.

−30y − 30 + 30 = −30 + 30

−30y = 0

Step 4: Divide both sides by -30.

−30y /−30  =  0 /−30

Alejandro compra un terreno de 0,3 hm cuadrados y 0,9 dam al cuadrados ¿cuanto ha pagado por el terreno

Answers

Answer:

Si el metro cuadrado es a $ 50 Alejadro pagó por el terreno  $195 000

Step-by-step explanation:

Ya que no se especifica un valor por unidad de área podemos suponer por  ejemplo $ 50 / metro^2

Terreno:

0.3 hm^2

0.9 dam^2

1) Vamos convertir a la misma unidad de área las áreas del terreno para poder saber su costo.

-Hectómetro cuadrado

1 hm^2  = 10 000 m^2

Por lo tanto,

0.3 hm^2 * 10 000 m^2 /  1 hm^2 = 3000 m^2

-Decámetro cuadrado

1 dam^2  = 1 000 m^2

Por lo tanto,

0.9 dam^2 *  1 000 m^2 /1 dam^2  = 900  m^2

Así que el total del terreno es de 3900 m^2

2) Ahora podemos calcular el valor total del terreno

area* valor (por m^2)

3900  m^2  * $50/ m^2 =  $195 000

A LITTLE HELP PLEASEEE!!

Answers

Answer:

i think it’s the 5th one

Step-by-step explanation:

How many lies of symmetry does this figure have ?

Answers

Answer:

B.

Step-by-step explanation:

You can draw draw ten lines through this figure to get symmetry either side.

In the figure below mPUR =77 and mST=74 Find mPR

Answers

Answer:

a)

The angle formed by intersecting chords is half of the sum of the intercepted arcs:

1/2(mST + mPR) = m∠PUR1.2(74° + mPR) = 77°74° + mPR = 2*77°mPR = 154° - 74°mPR = 80°

b)

The angle formed by two tangents is the half of the difference of the intercepted arcs:

m∠PSR = 1/2(mPTR - mPR)m∠PSR = 1/2(247° - (360° - 247°))m∠PSR = 247° - 180°m∠PSR = 67°

In hopes of encouraging healthier snacks at school, Pete brought in a tray of carrot sticks and apple slices to share. The tray had a total of 70 snacks, of which 90% were carrot sticks. How many carrot sticks did Pete bring?

Answers

Answer:

pete brought 63 carrots

Step-by-step explanation:

70 x .90 = 63

hii can i pls have help, i will give brainliest:D

Answers

Answer:

4

Step-by-step explanation:

half gallon is 64 oz. 256 ÷ 64 is 4

Answer

4

Step-by-step explanation:

1 gallon = 128 fluid ounces

1/2 gallon = 64 fluid ounces

Use gallons to convert 256 fl oz then multiply result by 2

256 / 128 = 2

2 x 2 = 4

4 half gallon containers

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114​

Answers

Answer: 145

Step-by-step explanation:

check

PLEASE HELP ASAP ill give brainliest answer

Answers

Answer:

62.1=3 sig fig

185.3=4 sig fig

1,760= 3 sig fig

0.06= 1 sig fig

I don't know if that's all the questions you have or you didn't get the last one In the pic

PLEASEEE HELP!!!!
!!!ILL GIVE >>BRAINLIST<

Answers

Answer:

Step-by-step explanation:

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