Step-by-step explanation: Bruh i legit learned this a hour ago at my tuition, ok so basically simply to slope intercept from ye? so it would be y=-3/5x+7

and then you would use the distance formula and ye distance formula is square root of x sub 2 - x sub 1 squared+ y sub 2 - y sub 1 squared

4 0

3 years ago

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.

Tanya [424]

Answer:

no the quadrilateral isn't a parallelogram

Step-by-step explanation:

For it to be a parallelogram, the opposite sides must be parallel to each other and in this case it's not.

5 0

3 years ago

A shop sells packs of black pens, packs of red pens and packs of green pens.

olchik [2.2K]

Answer:

85 pens

Step-by-step explanation:

The computation of the number of green pens sold is shown below;

As the number of black pens, red pens, and green pans is 3:5:6

And, the ratio of sold of black pens, red pens, and green pans is 7:3:4

So, the ratio of pens in a number of pens is

= 3 × 7 : 5 × 3 : 4 × 6

= 21: 15 : 24

= 7: 5 : 8

And, the total of 212 pens are sold

So, the number of green pens sold is

= 8 × 212 ÷ (7 + 5 + 8)

= 85 pens

4 0

3 years ago

Find the parametric equations for the line that is tangent to the given curve at the given parameter (3cost)i (t^4 -3sint)j

ale4655 [162]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

In the given equation, when the point t=0

So,

$\to r(0) = (3 \cos 0)i + (0^4 - 6 \sin 0)j + (2e^{3\times 0})k)$

$= (3 \times 1)i + (0 - 0)j + (2e^{0})k)\\\\ = 3i + 0j + (2 \times 1)k)\\\\ = 3i + 0j + 2k \\$

The value of the coordinates are $3, 0, 2$ . so, the equation of the line is:

$\to \frac{(x-3)}{3 \cos \ t} = \frac{(y-0)}{(t^{4}-6 \sin \ t)} = \frac{(z-2)}{2e^{3t}}=k$

5 0

3 years ago