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3 years ago

Given the equation 2Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution.

Mathematics

2 answers:

sashaice [31]3 years ago

6 0

Answer:

x=196

Step-by-step explanation:

In order to solve this you just have to clear X fro the equation and solve:

$2\sqrt{x} - 5=2\\ 2\sqrt{x}=2+5\\\sqrt{x}=7*2\\x=14^2\\x=196$ Once you´ve calculated this you have the solution for the equation, that is x.

It is not an extraneous solution.

Aleks [24]3 years ago

4 0

For what values of b is f(x) = b^x an increasing function?

A.Any real number
B.b > 0
C.b > 1
D.0

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he diameter of an ice skating rink is 44 feet. In terms of π, what is the area of the rink to the nearest square yard? (9 ft2 =

crimeas [40]

Answer:

The area of the circular ring is 53.73 π sq. yards

Step-by-step explanation:

The diameter of the skating ring = 44 ft

Diameter = 2 x Radius

⇒Radius of the ring = 44 / 2 = 22 ft

Now, 1 ft = 0.333333 yards

⇒22 ft = 22 x 0.333333 yards = 7.3333 yards

Now, Area of the circular Ring = $\pi r^2\\$

or, $A = \pi (7.33)^2$

= 53.73 π sq. yards

or, the area of the circular ring is 53.73 π sq. yards

6 0

3 years ago

Divide use partial quotients 28 divided by 514

ella [17]

28÷514=0.
514÷28=18.
Partial Quotients

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3 years ago

An item is priced at $13.57. If the sales tax is 7%, what does the item cost including sales tax?

cluponka [151]

Answer:

14.52

Step-by-step explanation:

13.57 + 13.57 x 7% = 13.57 x (1+7/100) =13.57 x 107/100 = 14.52

5 0

4 years ago

What is the product in distributive property for 7x63

Sauron [17]

Distributive property is
a(b+c)=ab+ac

we can make it easier by splitting up 63 into 60+3

so
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7 0

3 years ago

Read 2 more answers

Area of a triangle with verticals of (-4,1),(-7,5),(0,1)

Lynna [10]

Answer:

$8 ft^2$

Step-by-step explanation:

I assume that the three points given are the vertices of the triangle. So the three points are:

A (-4,1)

B (-7,5)

C (0,1)

The area of a triangle is given by:

$A=\frac{1}{2}bh$

where b is the base and h is the height.

Here we can take as follows:

- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

$AC=\sqrt{(0-(-4))^2+(1-1)^2}=4$

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

$h=(5-1)=4 ft$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(4)(4)=8 ft^2$

7 0

3 years ago