0.07 is closest to 0,1, or 1/2?

Identify an equation in slope intercept‘s form for the line parallel to Y=-3x+7 that passes through (2,-4)

ivolga24 [154]

Hello from MrBillDoesMath

Answer: y = 3x -10

Discussion :

Since the line is parallel to y = 3x + 7, the lines have the same slope. This means the point intercept of the parallel line is

y = 3x + b

As the new lines passes through (2, -4). substitute the x and y values of that point in the new equation:

(-4) = 3 (2) + b =>

-4 = 6 + b => (subtract 6 from each side)

-4 -6 = (-6 + 6) + b =>

-10 = 0 + b =>

b = -10

y = 3x -10 is the equation of the parallel line

Thank you,

Mr. B

5 0

3 years ago

Tamara's dosage of medication has recently decreased 20 milligrams per day what is the total decrease in tamara medication at th

Ludmilka [50]

There are 7 days a week.

20(7)= 140

The total decrease in Tamara's medication is 140 milligrams.

Hope this helps!

3 0

4 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

or

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0

4 years ago

plz help me soon!!!! there are a lot of points!!!>What does the transformation f(x) - 8F(x) do to the graph of f(x)? shrinks

Bond [772]

Answer:

sorry but I don't know just letting you know, don't get mad

4 0

3 years ago

To find the Volume of a Cylinder, we use the formula:

kolezko [41]

Answer:

the correct anser is B

Step-by-step explanation:

Calculate the area of the shape on all the corners

6 0

3 years ago