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kolbaska11 [484]
3 years ago
8

Suppose you cut a small square from a square of fabric as shown in the diagram. Write an expression for the remaining shaded are

a. Factor the expression. Type your answer below.

Mathematics
1 answer:
sesenic [268]3 years ago
8 0
To solve this problem you must apply the proccedure show below:

 1. You have the area of the larger square shown in the figure above, is:

 A=x²

 2. Then, you have the area of the smaller square shown in the figure above, is:

 A=3²
 A=9

 3. Therefore, the expression for the remaining shaded area is:

 A=x²-9
 A=(x-3)(x+3)

 
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Two sides of an isosceles triangle measures 26 and 10. What is the possible value of the third side?
spin [16.1K]

The third side of the triangle is 26.

Explanation:  

Given:

Two sides of the isosceles  triangle are 26 and 10.  

To Find:

The possible value of the third side

Solution:

Definition of Isosceles  triangle:

An isosceles triangle is a triangle with (at least) two equal sides. Isosceles triangle  has both two equal sides and two equal angles.

We also know the property of the triangle that  

Sum of two sides of triangle > third side of the triangle  

Case1. When third side is 10

Thee third side can’t be equal to 10 because it does not follow the rule of triangle  

10+10>26………which is  not possible

So the third side of the isosceles triangle is 26.

7 0
3 years ago
Pete borrowed $400 for 1 year. He paid back a total of $440. What was the interest rate per year?
OleMash [197]

I=PRT/100

1. Make R (rate) subject

R/100= I/PT

2. Substitute and calculate

r/100= i/pt

r/100= 40/400 × 1

(<em>4</em><em>0</em><em> </em><em>i</em><em>s</em><em> </em>from 440-400.<em>T</em><em>h</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em>)

r/100= 0.1

r/100×100= 0.1×100

r=10% (interest rate per year)

To confirm

I=PRT

I= 400×10/100×1

I= $40 (Interest)

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!<br><br> How to solve the equations below <br><br> |x−2|=x<br> |x+1|=1−x
kumpel [21]

Answer:

x-2=x x=0

No Solution

x+1=1-x

Cancel   1 on both sides

Subtract   −x from both sides

x+x=0

Simplify x +x  to  2x

2x=0

x=0

Check Answer

x+1=1-x

0+1=1-0

1=1-0

1=1

6 0
3 years ago
.
timofeeve [1]
A=9,805×(1+0.085×7÷12)
A=10,291.16
7 0
3 years ago
Can someone please help me with this?
Irina-Kira [14]

The answer is actually 164.1 because I learned how to multiply this. :)

5 0
3 years ago
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