What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)

Answer:

3y=x-1 OR y=⅓x-⅓

Step-by-step explanation:

Lets call the equation y=-3x+7 line l1

the other line passing through (4,1) l2

If two lines are perpendicular,then the product of their roots=-1

That is m(l1)×m(l2)=-1

Slope of l1=-3 therefore slope of l2=-1÷-3=⅓

Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form

y-y1=m(x-x1)

y-1=⅓(x-4)

3y-3=x-4

3y=x-4+3

3y=x-1 OR y=⅓x-⅓

Answer:

3 divided by 2 is 1.5

1/4 divided by 3/8 is 1/8

Step-by-step explanation:

Answer:

gorgeous

Step-by-step explanation:

Answer:

i am disturbed.

Step-by-step explanation:

this image is disturbing to me, because he is staring at you in your sleep too

Answer:

To catch your friend you have to paddle for 1.25 hours

Step-by-step explanation:

Your friend is 0.5 mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour.

Since the speed is the relationship between the space traveled by an object and the time used for it, then the distance is defined as:

distance= speed*time

Being x the time it takes to reach your friend, then your friend's position will be:

while your position is:

When you reach your friend the position of both should be the same. So:

3*x + 0.5= 3.4*x

Solving:

0.5= 3.4*x - 3*x

0.5= 0.4*x

0.5 ÷0.4= x

1.25= x

This means that to catch your friend you have to paddle for 1.25 hours

Answer:

6

Step-by-step explanation:

I hope this helps :)

Step-by-step explanation:

please see it my steps to work this problem

Answer:

IG it is 2

Step-by-step explanation:

ur acc got something hahhah

Answer:

its c

Step-by-step explanation:

i just too quiz and it siad this

Answer:

c

Step-by-step explanation:

took the quiz and got 100% on it

Answer:

a = 3, b = 5, and c = 1.

what is ac + b=8 answer

Step-by-step explanation:

a(c)+b

3(1)+5

3+5= 8

The required solution is 8 when substituting the values of a = 3, b = 5, and c = 1.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

ac + b

We have to determine the evaluation when a = 3, b = 5, and c = 1.

As per the question, we have

⇒ ac + b

Substitute the values of a = 3, b = 5, and c = 1 n the above expression,

⇒ 3(1) + 5

⇒ 3 + 5

Apply the addition operation, and we get

⇒  8

Thus, the required solution is 8.

Learn more about the algebraic expression here :

brainly.com/question/21751419

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Solution :

Given :

Principal amount deposited, P = $ 6000

Rate of interest, r = 5%

Number of years, t = 4 years

When the deposited amount is compounded semiannually, i.e. n = 2

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.025)^8$[/tex]

       = 6000 x 1.2184

        = 7310.4

Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.

When the deposited amount is compounded quarterly, i.e. n = 4

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]

       = 6000 x 1.219889

        = 7319.334

Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.

When the deposited amount is compounded monthly, i.e. n = 12

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]

       = 6000 x 1.22089

        = 7325.34

Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.

ANSWER.

$1,500.00 net price / sales tax 6.25 / $1,593.75 total price

Step-by-step explanation:

hope it helps

Answer:

- 5/3

Step-by-step explanation:

Line is passing through the points (0, 2) & (3, - 3)

Slope of the graph = (- 3 - 2)/(3 - 0) = - 5/3

Answer:

28

Step-by-step explanation:

Answer:

Step-by-step explanation:

805/38= 21 7/38

So that is 21 full payments of $38.00 and one of $7.00

Answer:C

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(x-3)+x(r+4)

3x-9+xr+4x

7x+9+xr

Answer:

non-linear plots are when the dots are far away from the other dots and linear is when all the dots are together

Answer:

4.55 or about 5 pounds

Step-by-step explanation:

I did 34.52 / 7.58 = 4.55 or rounded up, to about 5 pounds :D

Step-by-step explanation:

Diameter of base of cone = 30 cm .

Hence its radius = 30/2 cm = 15 cm

So , here the figure consists of a hemisphere and a cylinder . Now , here radius of the hemisphere is 15 cm . So , height of the Cylinder = ( 85 - 15 ) cm = 70 cm

→Volume of Cylinder :-

[tex]\large\boxed{\red{ Volume_{cylinder}=\pi r^2 h }}[/tex]

→ Volume = π r²h

→ Volume = 22/7 * ( 15 cm)² * 70 cm

→ Volume = 49,500 cm³ .

Volume of hemisphere :-

[tex]\large\boxed{\green{Volume_{hemisphere}=\dfrac{2}{3}\pi r^3}}[/tex]

→ Volume = ⅔ π r³

→ Volume = ⅔ * 22/7 * (15 cm)³

→ Volume = 10,607.14 cm³ ≈ 10 , 607 cm³ .

Hence Volume = ( 10 , 607 cm³ + 49,500 ) cm³ = 60,107 cm³

Answer:

C- 63.5

B- 26.5

Step-by-step explanation:

both are rounded

Answer:

The third Number line = C

P = - 1 ; Q = 7

Step-by-step explanation:

P = - 1 ; as the tick marks are 1 unit apart ; hence the point P is located either side of - 2 and 0 ; therefore, the point Q is either :

(-2 + 1) = - 1 or (0 - 1) = - 1

Q = 7 ; Q is position on between 6 and 8 ; therefore, the number which falls in the middle of both numbers is 7.

Answer:

C. the third one

Step-by-step explanation:

have nice day

Answer:

c.

Step-by-step explanation:

Answer:

56 degrees

Step-by-step explanation:

Coz they're corresponding angles

Answer:

y=-3x-13

Step-by-step explanation:

Plug in the -2 and -4 for the y and x. The slope is the same

1) -4 = -3 (-3)+b

2) -4=9+b

3) -4-9=b

4) -13=b

The equation is y=-3x-13

Answer:

which ones do you need answered

Step-by-step explanation:

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

ok so the probabilty of getting something on a six sided die is [tex]\frac{1}{6}[/tex], since there was 6 possible outcomes. so the probabolity of getting 1 would be 1 out of 6

i hope this helps :)

Answer:

275 m/s2

Step-by-step explanation:

I know because I had this question in a test and got it correct.

Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².

A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.

From Newton's Second Law, force is expressed as;

F = m × a

Where is mass of object and a is the acceleration

Given the data in the question;

We substitute our given values into the expression above.

200kgm/s² = 55000kg × a

a = 200kgm/s² ÷ 55000kg

F = 0.0036m/s²

Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².

Learn more about force here: brainly.com/question/27196358

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Answer:

60 inches

Step-by-step explanation:

Mark: 52 inches

Bryan: x Inches

X: 52 + 8

52 + 8 = 60

x= 60

Bryan: 60 inches

because mark is 8 inches shorter so bryan is 8 inches taller.