What is an equation of the line that passes through the point (-4,-6) and is
perpendicular to the line 2c – y = 6?

Answers

Answer 1

Answer:

y = -1/2c - 8

Step-by-step explanation:

2c - y = 6

2c -6 = y

Slope: 2. Slope of the perpendicular line: -1/2

Point (-4,-6)

y-intercept = -6 - (-1/2)(-4)

b = -6 -2 = -8

Answer 2

The equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

What is equation of the line ?

Equation of the line: The general equation of a straight line is [tex]y = mx + c[/tex]. This variable [tex]'c'[/tex] is called the intercept on the [tex]y-axis[/tex].  And [tex]y = c[/tex] is the value where the line cuts the [tex]y-axis[/tex].

Here,

[tex]m=[/tex] the gradient,

[tex]c=[/tex]  the intercept on the y-axis

We have,

An equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] .

So,

Line [tex]2c - y = 6[/tex]  

[tex]2c - y = 6[/tex]

⇒ [tex]y=2c-6[/tex]

and  [tex]y = mx + c[/tex]

On comparing above two equations

[tex]m=2[/tex]

and Slope [tex]=-\frac{1}{m}[/tex]

So, Slope [tex]=-\frac{1}{2}[/tex]

Now,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slope of required equation [tex]=\frac{-1}{Slope \ of \ 2c-y=6}[/tex]

                                              [tex]=\frac{-1}{\frac{(-1)}{2} }=2[/tex]

Now,

Equation of line with slope [tex]2[/tex] and passing through point [tex](-4,-6)[/tex] ,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]2=\frac{y_{2} -(-6) }{x_{2} -(-4) }[/tex]

[tex]2x_{2} +8=y_{2} +6[/tex]

[tex]2x_{2} -y_{2} +2=0[/tex]

So, the equation of the line is  [tex]2x_{2} -y_{2} +2=0[/tex] .

Hence, we can say that the equation of the line that passes through the point [tex](-4,-6)[/tex]  and is perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

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Related Questions

I need help plisss giving brainliest

Answers

Answer:

1) [tex]y=\frac{3}{2}x+8[/tex]

2)[tex]y=\frac{13}{11}x +\frac{12}{11}[/tex]

3)[tex]y=\frac{9}{7}x+1[/tex]

4)[tex]y=\frac{1}{3}x-2[/tex]

5)[tex]y=-\frac{6}{5}x-3[/tex]

6)[tex]y=4x-1[/tex]

7)[tex]y=\frac{11}{4}x-8[/tex]

8)[tex]y=\frac{11}{8}x+6[/tex]

Answer:

[tex]\sf 1) 3x-2y=-16[/tex]

subtract both sides by 3x:

[tex]\sf -2y=-16-3x[/tex]

[tex]\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}[/tex]

[tex]\boxed {\sf y=\frac{3}{2}x +8}[/tex]

________________

[tex]\sf 2) 13x-11y=-12[/tex]

Subtract 13x from both sides:

[tex]\sf 13x+11y-13x=-12-13x[/tex]

[tex]\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}[/tex]

[tex]\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }[/tex]

___________________

[tex]\sf 3) 9x-7y=-7[/tex]

Subtract 9x from both sides:

[tex]\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}[/tex]

[tex]\boxed {\sf y=\cfrac{9}{7} \:x+1}[/tex]

___________________

[tex]\sf 4)x-3y=6[/tex]

Add 3y from both sides:

[tex]\sf x-3y+3y=6+3y[/tex]

[tex]\sf x=6+3y[/tex]

Subtract 6 from both sides:

[tex]\sf x-6=3y[/tex]

Divide both sides by 3:

[tex]\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}[/tex]

[tex]\sf \cfrac{1}{3} \:x-2=y[/tex]

[tex]\boxed {\sf y=\cfrac{1}{3} \:x-2}[/tex]

____________________

[tex]\sf 5) 6x+5y=-15[/tex]

Subtract 6x from both sides:

[tex]\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}[/tex]

[tex]\boxed {\sf y=-\cfrac{6}{5} \:x-3 }[/tex]

_____________________

[tex]\sf 6) 4x-y=1[/tex]

Subtract 4x from both sides:

[tex]\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}[/tex]

[tex]\boxed {\sf y=4x-1}[/tex]

_______________________

[tex]\sf 7)11x-4y=32[/tex]

Subtract 11x from both sides:

[tex]\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}[/tex]

[tex]\boxed {\sf y=\frac{11}{4} \:x-8}[/tex]

_______________________

[tex]\sf 8) 11x-8y=-48[/tex]

Subtract 11x from both sides:

[tex]\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}[/tex]

[tex]\boxed {\sf y=\frac{11}{8} \:x+6}[/tex]

________________________________

This is 8th-grade math please help

Answers

FOR NUMBER ONE 7.25/per jersey
shipping=$9.99

7.25x 20=$145.00
145+9.99
total is $154.99

I Need Help Please

Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale on the map. (There are 2.54 centimeters in an inch.) A. 1 in to 1 my B. 1 cm to 1 km C. 1 in to 10 mi D. 1 ft to 100 mi E. 1 cm to 200 km F. 1 in to 100 mi G. 1 cm to 1000 km

Answers

Step-by-step explanation:

5 inches on the map correspond to 210 miles (or even a bit more) in reality.

we do know, the real length of the state is 213 miles.

and 8 inches to 410 (or a bit more) miles.

but, in fact, in reality, Kansas is indeed 410 miles long.

so, let's see first about the consistency of the scale factors (our ratios) in every direction.

5 inches / 210 miles = 1/42

8 inches / 410 miles = 4/205 = 1/51.25

so, in order to be a true map, both directions must have the same scale factor.

to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25

so,

A with the ratio 1/1 is wrong.

B wrong.

1 cm = 1/2.54 inches

1 km = 1/1.6 miles

so, the scale ratio here is

1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54

still far off of the 1/51.25 ratio.

C with the ratio 1/10 is wrong.

D wrong

1 ft = 12 inches

the ratio is therefore

12/100 = 3/25 = 1/8.3333

still far off of the 1/51.25 ratio.

E would fit

1 cm = 1/2.54 inches

1 km = 1/1.6 miles

200 km = 200/1.6

so, the scale ratio here is

1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =

= 1.6 / 508

still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.

F would fit.

the ratio is 1/100.

this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.

G would fit.

1 cm = 1/2.54 inches

1 km = 1/1.6 miles

1000 km = 1000/1.6

so, the scale ratio here is

1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =

= 1.6 / 2540

again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.

What is this answer?

Answers

Answer:

multiply

Step-by-step explanation:

just multiply all of them and then u will get your answer I hope this helped ❤

The graph of a function is shown on the grid.
Which ordered pair best represents the location of the y-intercept?

Answers

Answer:

y-intercept = (0, -2)

Step-by-step explanation:

The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. Looking at your graph, it shows that the line crosses at point (0, -2).

Therefore, the correct answer is (0, -2).

A=?

b=?

C =?

Can someone tell me the answer please

Answers

Answer:

Below.

Step-by-step explanation:

a = 37 degrees ( vertical angle to 37 )

c = 180 - 37 = 143 degrees (adjacent angles add up to 180).

b = 180 - 37 - 109 = 34 degrees   (angles in a triangle sum to 180 degrees).

a = 37 degrees

c = 180 - 37 = 143 degrees.

b = 180 - 37 - 109 = 34 degrees

Helpppppp!!! I don’t understand this!

Answers

Answer:

from a to t

Step-by-step explanation:

a=64°

b=116°

c=116°

d=64°

e=108°

f=72°

g=108°

h=72°

i=108°

j=108°

k=72°

m=105°

n=79°

q=116°

s=75°

t=119°s

The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222

Answers

Answer:

its the yoyo

Step-by-step explanation:

it was right on the khawn acdemy thing.

10. Determine if the equation x - y = 1 defines y as a function of x.

Answers

Answer:

No.

Step-by-step explanation:

First solve for y:-

x - y^4 = 1

y^4 = x - 1

y = +/- (x - 1)^(1/4)

This is a one-to-many relation . For a given value of y there  2 values of x.

So this is NOT a function.

please show the work but thanks !!!

Answers

please show work but thanks!

The governor of Utah wants to know how long they have before the entire state is zombified. If there are 3.67 million people living in Utah (3,670,016 to be exact), how many days until the entire state is infected?

options:

19 days


2 years


11 days


52 days

Answers

Answer:

wait.

Step-by-step explanation:

what do u really mean by zombies

Only an answer please please

Answers

Answer: 41

Step-by-step explanation: r= 3c+ 5

3 (12) +5     36+5= 41

Answer:

B 35

Step-by-step explanation:

the value goes up by six in each box

Jose has 4 times as many baseball cards as his brother. Together they have 40 baseball cards. How many baseball cards does Jose's brother have?

Answers

Answer:

Ummm..... I would think 10??

Step-by-step explanation:

I don't really know tho.....

Answer:

10

Step-by-step explanation:

4x = 40

/4       /4

x = 10

I really need help with this question :)

Answers

Answer:

here you go.

Step-by-step explanation:

The diagonal is the hypotenuse of a rectangular triangle.

So:

d2=l2+w2 

132=169=(x+7)2+x2=x2+14x+49+x2→

2x2+14x−120=0→x2+7x−60=0

A simple quadratic equation resolving into:

(x+12)(x−5)=0→x=−12orx=5

Only the positive solution is useable so:

w=5andl=12

What is the slope of the line that passes through the points (−8,−1) and (−6,−2)? Write your answer in simplest form.

Answers

Answer:

m = -1/2

Step-by-step explanation:

Recall that slope = (change in y) / (change in x).

Going from  (−8,−1) to (−6,−2), x increases by 2 (because -6 - (-8) = 2), and

y decreases by 1.  Thus, the slope here is

m = (change in y) / (change in x) = (-1) / 2 = -1 / 2

m = -1/2

please answer i need help.

Given that AABC ADEF, find the length of side DF Show the equation and ALL algebra used to solve for the length of DE

Answers

Answer:

the length of side DF is 19

Step-by-step explanation:

you first need to find what x=

sides  AB=DF    AC=DE    BC=FE

so we can say that 3x+1=19

3x+1=19

-1        -1

3x=18

÷ by 3

x=6

then DF os 2x+7

so 2(6)+7

12+7=19

What is the justification for each step in the solution of the equation?

5x−4/2=2x−1
Select from the drop-down menus to correctly justify each step.

5x−42=2x−1 Given
5x−4=2(2x−1) Choose...
5x−4=4x−2 Choose...
5x=4x+2 Addition or Subtraction Property of Equality
x=2 Choose...
Options
Addition or subtraction property of equality
Multiplication or division property of equality
Distributive property of equality
Combine like terms
The "/" Is for a fraction.

Answers

Answer:

5x-2=2x-1

5x-2x=-1+2

3x=1

3/3x=1/3

x=1/3 or 1.3333...

Help stuck on this question

Answers

Answer:

Find the slope of the original line and use the point-slope formula: y−y1=m(x−x1 )

to find the line parallel to -> y = 6/7 x −2.

A: y = 6/ 7x−7

what is the answer to
an=3-2(n-1)

Answers

All numbers greater or equal to 1

Can you pls help me??

Answers

Answer:

[tex] \sqrt{10} [/tex]

Step-by-step explanation:

use

a^2 +b^2=c^2

c² = a² + b²

c² = 3² + 1²

c² = 9 + 1

c² = 10

c = √10

Can y’all help me with this question

Answers

Answer:

I'm 100% sure it's 50.

Step-by-step explanation:

It will take 10 hours for the tank to become empty.

Find the equation of the line that goes
through the points:
(-1,4) and (-8,11)

Answers

See the picture above for the solution.

3. The difference of two-thirds of a number x and
6 is at least -24. Which inequality represents all
possible values for x?

Answers

2/3x+ _< -24 then 2/3x _< -30 then 1/3x _< -15 so x >_ -45

The inequality that represents all possible values for x is  x ≥ -27.

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given statement can be written in terms of inequality as,

2/3x - 6 ≥ -24

=> 2/3x  ≥ -24 + 6

=> 2/3x  ≥ -18

=> x ≥ -27

Hence, the inequality expression for the given problem can be written as x ≥ -27.

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Using the quadratic formula, which of the following are the zeros of the quadratic equation below?
y=x²-x-5​

Answers

Answer: The answer is the option A.

x=(5±)/4

Step-by-step explanation: The quadratic formula has the following form for a quadratic equation ax²+bx+c:

x=(-b±))/(2a)

We apply the quadratic formula and we obtain:

x=(-(-5)±))/(2(2))

x=(-(-5)±))/(4)

x=(-(-5)±))/(4)

(a) It takes 32 pounds of seed to completely plant a 4-acre field. How many acres can be planted per pound of seed? Round to the nearest hundredth if necessary.​

Answers

Answer:

32/4

= 8

So 8 pounds for one acre

1/8 = 0.125 acres can be filled with one pound

The movie theater sold 825 tickets to fill 3 theaters how many seats are in each theater

Answers

Answer:

275?

Step-by-step explanation:

I just divided it.. 825÷3

Answer:

The correct answer is 275 seats

Step-by-step explanation:

Since its 3 FULL theaters then we are gonna divide the number of tickets by the number of theaters which is 825÷3.

Do the math (or use a calculator) and your left with 275.

Hope this helps!

Please actually help, and don't say random words to get the points​

Answers

Answer: X=3 Y=2

Step-by-step explanation: just looked it up

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x-3)+2

A) infinite solutions

B) One

C) no solutions

Answers

Answer:

-7 = -7

a. infinite solution

If the spinner shown is spun 40 times,predict the number of times the spinner would land on section A. Give the number of times only

Answers

Picture is not stated. But given the text, I would say divide the # of section A / 40 = some number

Put the in order 7/16 1/2 3/8 9/32 5/16 15/32 ??? Put from greatest to least

Answers

1/2, 15/32, 7/16, 3/8, 5/16, 9/32 is the order from greatest to least
Least to greatest:
9/32, 5/16, 3/8, 7/16, 15/32, and 1/2
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