2 years ago

Find the slope between (1, 1) and (8, 7)

Mathematics

1 answer:

77julia77 [94]2 years ago

4 0

Answer:

6/7

Step-by-step explanation:

Change in y over the change in x.

7 - 1 over 8 - 1 =

6 over 7

6/7

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Sergeeva-Olga [200]

Enjoy baby ganyuuuuuuuuuu

6 0

3 years ago

Please help me out with this

Nadusha1986 [10]

Answer:

y = - 3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = $\frac{-2-4}{2-0}$ = $\frac{-6}{2}$ = - 3

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - 3x + 4 ← equation of line

5 0

2 years ago

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

Nezavi [6.7K]

The two curves intersect when

$-x^2=6-5x\implies x^2-5x+6=(x-3)(x-2)=0\implies x=2,x=3$

The region bounded by $x=0$ and the two curves "ends" with a vertex where $x=2$ . So over the interval [0, 2], we have $6-5x\ge-x^2$ , so that the volume is

$\displaystyle2\pi\int_0^2x(6-5x+x^2)\,\mathrm dx=\boxed{\frac{16\pi}3}$

That is, each cylindrical shell has a radius of $x$ and height $(6-5x)-(-x^2)=6-5x+x^2$ , and their contribution to the total volume is $2\pi$ times the radius and height.