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MakcuM [25]
3 years ago
11

Find parametric equation of a line with a slope of -2 and passes through (-10,-20)

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0
y- y_{0} =m(x- x_{0} ) \\ m= \frac{y_{1}- y_{0}}{x_{1}- x_{0} }  \\ y-(-20)= (-2)(x-(-10)) \\ y+20=-2x-20 \\ y=-2x-40
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Help plz if your good at finding the area of the compound figure plz help if you don’t know the answer your not needed but if yo
spin [16.1K]

Answer:

96cm^2

Step-by-step explanation:

We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2

We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2

We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2

6 0
3 years ago
Solve the quadratic equation x2+8x−30=0 by completing the square.
diamong [38]

Answer:

               \bold{x=-4\pm\sqrt{46}}

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}

5 0
3 years ago
What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
Simplify 8 over -4 divided by -3 over 9
Dima020 [189]

Answer: .074 continuing

8 0
3 years ago
Read 2 more answers
For every how many degrees will a pentagon have rotational symmetry?
igor_vitrenko [27]
A. 72 degrees (i hope this helped)
7 0
3 years ago
Read 2 more answers
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