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2 years ago

How do the ratios of lengths, areas, and volumes compare in similar solids?

1 answer:

kondor19780726 [428]2 years ago

7 0

If the ratio between the sides is $r$ , the ratio between the areas will be $r^2$ and the ratio between the volumes will be $r^3$

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Let f(x)= x^2-4x-c. Find a nonzero value of c such that f(c)=c.

Dimas [21]

Answer:

The nonzero value of c will be:

$c = 6$

Step-by-step explanation:

Given the function

$f\left(x\right)=\:x^2-4x-c$

$f\left(c\right)=\:c^2-4c-c$

$f(c) = c$

$c=\:c^2-4c-c$

switching the sides

$c^2-4c-c=c$

subtract c from both sides

$c^2-4c-c-c=c-c$

$c^2-6c=0$

$c\left(c-6\right)=0$

Using the zero factor principle

$\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$c=0\quad \mathrm{or}\quad \:c-6=0$

so, the solutions to the quadratic equations are:

$c=0,\:c=6$

Therefore, a nonzero value of c will be:

$c = 6$

5 0

2 years ago

From 5miles to 16miles

vfiekz [6]

From 5 miles to 16 miles in 11 miles in between.

3 0

2 years ago

Write a compound interest function to model each situation. Then find the balance after the given number of years.

Reika [66]

Answer:

Step-by-step explanation:

7 0

2 years ago

The area of a rectangular gymnasium is (5x+5x) square feet. If it is 5x feet wide, what is the length, in feet?

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

Area = L x W gym area is (5x + 5x) ft² if W = 5x Find the L

Area = L x W divide both sides by W

Area/W = (L x W) / W

Area/W = L = Area/W

L = Area/W

= (5x + 5x) / (5x)

= 5x( 1 + 1) / 5x

= 5x(2) / 5x the 5x's cancel each other 5x/5x = 1

= 2 ft I got 2. I suspect the 12 was a typo and should have been 2

5 0

2 years ago

If YC = 4, BC = 6, XY = 5, then AB =

Fittoniya [83]

7.5? well 7 1/2? there is the answer

5 0

3 years ago