Answer:

Step-by-step explanation:
First, extract the greatest common factor of the numerical as well as the variable parts:
the GCF of 5 and 80 is "5", and the GCF between
and
is
, then:

Now, we can re-write the binomial in parenthesis as a difference o squares to be able to factor out even further:

we now repeat the process for the binomial difference:

So finally the complete factorization is:

Answer:
Sin 90°=1
Step-by-step explanation:
A unit circle is a circle with a radius of 1 .Because the radius is 1, it is possible to directly measure the sine, cosine and tangent.
<em>using the unit circle where 90° is the limit as the hypotenuse approaches the vertical y-axis which is positive.</em>
Sine=opposite/hypotenuse
Sin=O/H
<u>Applying the limits</u>
Sine 90°=1/1= 1
cos 90° =0/1 =0
or
When the angle formed at the origin of the unit circle in the 1st quadrant is 0°, cos 0°=1 sin0°=0 and tan 0°=0
When we increase the angle until it is 90°, cos 90°=0, sin 90°=1 and tan 90°=undefined
Answer:
Independent
dependent
Step-by-step explanation:
The scenario illustrates that the weight for people who exercises regularly tends is normal or below normal. It means that the weight of a person depends on how much a person exercises i.e. if person exercises more the weight is reduced and if not then weight will be gained. Thus, exercise is the independent variable while weight is dependent variable.
Answer:
"The question cannot be answered without knowing the scale factor."
Step-by-step explanation:
<u>The complete question:</u>
<em>A dilation centered at the origin is applied to the line y = 3x + 5. What is true about the image of the line?</em>
- <em>It is the same line.
</em>
- <em>
It is another line parallel to y = 3x + 5.
</em>
- <em>
The image is not a line.
</em>
- <em>
The question cannot be answered without knowing the scale factor.</em>
<em />
A dilation, center at origin, with a scale factor of "k", will have a rule:
(x,y) = (kx,ky)
This basically means that the image after dilation will have the points kx and ky respectively.
If k ≠ 1, this means the image is parallel to the line y = 3x + 5
If k = 1, this means the image is same, it coincides with the line y = 3x + 5
<u><em>Thus, the scale factor is really important and we can't say anything about this dilation since scale factor isn't known.</em></u>
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