Geometric mean of 8 and 5

Mathematics

1 answer:

Papessa [141]3 years ago

3 0

Answer:

Step-by-step explanation:

8 16 24 32 40

5 10 15 20 25 30 35 40

They both have the number 40

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Find an equation of the circle that has center (−1,2) and passes through ( 2,−2) .

user100 [1]

Equation of a circle that has a center at (h,k) and radius of r is
(x-h)²+(y-k)²=r²

so

given center (-1,2)
(x-(-1))²+(y-2)²=r²
(x+1)²+(y-2)²=r²

sub the other point to find r or r²

it passes through (2,-2)
sub 2 for x and -2 for y

(2+1)²+(-2-2)²=r²
(3)²+(-4)²=r²
9+16=r²
25=r²
5=r

the equation is
(x+1)²+(y-2)²=5²

8 0

3 years ago

A lawn with an area of 300 square feet needs 1/2 pound of grass seed. How many pounds of grass seed are needed for a lawn that i

lana66690 [7]

2 pounds.

60(20) = 1200 = area
If 300 square feet requires 1/2 pound, you can divide 1200 square feet by 300 square feet.

1200/300=4
4 times 1/2
4(1/2)=2

For every 300 square feet, you need half a pound. If you were to have 600 square feet, you would need a pound of grass seed. Therefore, for 1200 square feet, you need 2 pounds of grass seed.

4 0

3 years ago

Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)

vfiekz [6]

Answer:

Step-by-step explanation:

given a point $(x_0,y_0)$ the equation of a line with slope m that passes through the given point is

$y-y_0 = m(x-x_0)$ or equivalently

$y = mx+(y_0-mx_0)$ .

Recall that a line of the form $y=mx+b$ , the y intercept is b and the x intercept is $\frac{-b}{m}$ .

So, in our case, the y intercept is $(y_0-mx_0)$ and the x intercept is $\frac{mx_0-y_0}{m}$ .

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph $(x_0,\frac{1}{x_0})$ . Which means that $y_0=\frac{1}{x_0}$