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Lesechka [4]
3 years ago
14

Give an example of a polynomial that is a perfect square. How do you know that it is a perfect square? Give its factored form.

Mathematics
1 answer:
lora16 [44]3 years ago
8 0

Answer:

Step-by-step explanation:

A polynomial is a  perfect square if has the form:

a^2+2ab+b^2

Its factored form is  (a+b)^2.

We can obtain examples by taking any value of a and b.

For example:

a=x  anb  b=2y.  

Thus we obtain a polynomial that is a perfect square:

x^2+2(x)(2y)+(2y)^2=x^2+4xy+4y^2

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The number of apples in a box decreased from 150 to 135. What is the percent decrease of the number of apples in the box?
goblinko [34]

Answer:

10% decrease

Step-by-step explanation:

The formula for percent change is:

\frac{\textrm{New}-\textrm{Old}}{\textrm{Old}} \times 100

Therefore, for this example:

\frac{\textrm{New}-\textrm{Old}}{\textrm{Old}} \times 100=\frac{135-150}{150} \times 100=-10\%

The negative value indicates that the change was a decrease. Therefore, there was a 10% decrease.

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4 years ago
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6 0
3 years ago
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−14 + 6x + 7 − 2x = 1 + 5x<br> please answer this problem with work
maksim [4K]
Let's solve your equation step-by-step.<span><span><span><span><span>− 14 </span>+ <span>6x </span></span>+ 7</span> −<span> 2x </span></span>=<span> 1 + <span>5x</span></span></span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>−14 </span>+ <span>6x </span></span>+ 7 </span>− <span>2x </span></span>=<span> 1 +<span> 5x</span></span></span><span>
Simplify: </span><span><span><span>4x - </span><span>7 </span></span>= <span><span>5x</span> + 1</span></span><span><span><span>4x</span> − 7</span>= <span><span>5x </span>+ 1</span></span>
Step 2: Subtract 5x from both sides.<span><span><span><span>4x</span> − 7</span> − <span>5x </span></span>= <span><span><span>5x </span>+ 1</span> −<span> 5x</span></span></span><span><span><span>− x </span>− 7 </span>=1 </span>
Step 3: Add 7 to both sides.<span><span><span><span>−x </span>− 7</span> + 7</span>=<span> 1+7</span></span><span><span>−x</span>=8</span>
Step 4: Divide both sides by -1.<span><span><span>‌<span><span>−x/</span><span>−1 </span></span></span>‌</span>=<span><span>‌<span> 8/<span>−1</span></span></span>‌</span></span><span>x=<span> −8</span></span>
Answer:<span>x= <span>−<span>8
hope this helps :)</span></span></span>
6 0
3 years ago
Given ADEF: ARST, find the scale factor
Deffense [45]

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

4 0
3 years ago
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Translate the sentence into an equation.
murzikaleks [220]

Answer:

9 - 5x = 7

Step-by-step explanation:

Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7

9 - 5x = 7

3 0
2 years ago
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