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3 years ago

A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?

Mathematics

2 answers:

podryga [215]3 years ago

7 0

Answer:

y = 4x-7

Step-by-step explanation:

We have a slope and a point

m = 4 (2,1)

Using the slope intercept form of the equation

y = mx+b

y = 4x+b

From the point x=2 and y =1

1 = 4(2)+b

1 = 8+b

Subtract 8 from each side

1-8 =8-8+b

-7 = b

We can write the equation by using m=4 and b = -7

y = 4x-7

cluponka [151]3 years ago

6 0

Answer:

idk

Step-by-step explanation:

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The minimum point of the graph y = 2x^2 + 2x +1 is located at:

slega [8]

Answer:

Step-by-step explanation:

By completing the square, y = 2x^2 + 2x +1 will be y=2(x+1/2)^2+(1/2) the minimum point is the vertex of the parabola which is (-1/2, 1/2)

8 0

3 years ago

HELP PLZ DUR 11;59 plz help me

Norma-Jean [14]

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is $area=\frac{1}{2} *b*h$ , where b is the length of the base of the triangle, and h is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that $h=6*b$ . We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

$300=\frac{1}{2} *b*(6*b)$

$3b^2=300$

$b=\sqrt{100} =10$

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

$300=\frac{1}{2} *10*h$

$5h=300$

$h=60$

The height of the triangle is 60 centimeters.

5 0

3 years ago

A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16. If he had sold it at 10% discount he would have gained Rs

Murrr4er [49]

Answer: Marked Prixe = Rs. 1800

Step-by-step explanation:

Let the marked price be M

1) A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16.

SP = 0.88M

CP - SP = 16

CP = 16 + SP

CP = 16 + 0.88M

2) If he had sold it at 10% discount he would have gained Rs 20.

SP = 0.9M

SP - CP = 20

0.9M = 20 + CP

CP = 0.9M - 20

16 + 0.88M = 0.9M - 20

0.9M - 0.88M = 20+16

0.02M = 36

36 = 0.02M

M = 1800

6 0

3 years ago

Evaluate: Sigma 50 over 1 (4n - 1) = [?]

iogann1982 [59]

Answer:

50 over 1 (4n - 1) = 5050

I hope I helped you^_^

7 0

3 years ago

Solve this question. a/7-3<0

valkas [14]

Answer:

$\boxed{\sf{a$

Step-by-step explanation:

You only need to isolate the term a to solve this problem.

Add by 3 from both sides.

$\sf{\dfrac{a}{7}-3+3$

Solve.

0+3=3

a/7<3

Multiply by 7 from both sides.

$\sf{\dfrac{7a}{7}$

Solve.

3*7=21

a<21

As a result, the solution is a<21, which is our answer.

7 0

2 years ago