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2 years ago

What are the solutions to equation (x - 21)^2 = 25? x= x=

Mathematics

1 answer:

melomori [17]2 years ago

8 0

The answers for these solutions to equation (x - 21)^2 = 25 are

x = 26

x =16

Picture proof

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Find the distance between the points (0,-2) and (-8,-8)

Ostrovityanka [42]

Answer:

Distance between the points = 10 units

Step-by-step explanation:

Given points:

(0,-2) and (-8,-8)

To find the distance between the two points.

Solution:

Applying distance formula to find the distance between the points.

For points $(x_1,y_1)$ and $(x_2,y_2)$ the distance is given as:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Plugging in the given points in the formula.

$d=\sqrt{(-8-0)^2+(-8-(-2))^2}$

$d=\sqrt{(-8)^2+(-8+2))^2}$

$d=\sqrt{(-8)^2+(-6)^2}$

$d=\sqrt{64+36}$

$d=\sqrt{100}$

$d=\pm10$

Since distance is always positive. So $d=10$ units.

3 0

3 years ago

For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo

slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of the demand linear equation . It can be computed through the formula

$b=\frac{y2-y1}{x2-x1}$ . equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

$b=\frac{19-11}{1-3} =\frac{8}{-2}$

b=-4

Now we can find the value of intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0

3 years ago

Identify the horizontal

jonny [76]

Answer:

y=0

Step-by-step explanation:

Hello!

To solve this problem and find the asymptote you must find the value of x, for which F (x) (or y) becomes infinite, for this we solve the equation for X

$y=\frac{3}{5X} \\X=\frac{3}{5y}$

As you can see if Y takes a value of zero, then X would tend to be an infinitely large value so we conclude the horizontal asymptote is y = 0, I also attached the graph!