You know that the sides of a square are increased by 2 inches: the expression should be written as (x+2)
The area is 25 square inches
The area of a square is s×s or s²
so it can be solved as:
(x+2)²=25
x+2=5
x=3
<u>The length of the original side is 3 inches</u>
Hope it helps!
Answer:
Step-by-step explanation:
If AB is a tangent of a circle, then the angle B is right angle. Therefore the triangle ABC is a rigth triangle.
BC and x are the radius of a circle. Therefore BC = x.
Use the Pythagorean theorem:
We have
Substitute:
<em>subtract 6400 from both sides</em>
Answer:
Best option is data
Step-by-step explanation:
If it was information, he would know what 144 would be used for
Knowledge doesn't make sense in this scenario
Input could be possible but we don't know for sure that the number is an input of something
Answer:
- Over the real numbers there are no numbers to add to -2 and multiply to 3
- Over the complex set of numbers, the numbers that add to -2 and multiply to 3 are
Step-by-step explanation:
Let and be the numbers.
We know that they add to -2, so equation (1).
We know that they multiply to 3, so equation (2).
To find our numbers, let's solve our system of equations step-by-step:
Step 1. Solve for in equation (1):
equation (3)
Step 2. Replace equation (3) in equation (2) and solve for :
Using the quadratic formula with a=-1, b=-2, and c=-3 we get that
equation (4)
equation (5)
As you can see, the system of equation doesn't have a solution over the reals, but if you need a complex answer, let's keep on.
Step 4. Replace equations (4) and (5) in equation (3) and solve for :
- For
- For
The solutions of our system of equations are:
Answer:
20 square units
Step-by-step explanation:
Point D should be D(4, -1) if a rectangle is to be formed. A picture is attached to this answer.
The rectangle's dimensions are 4 by 5, so it's area is 4 x 5 = 20 square units. The picture is small enough that you could even just count squares inside the rectangle!