Answer:
C
Step-by-step explanation:
Given
The numerator is a difference of squares
x² - 16 = (x - 4)(x + 4)
= ← cancel the common factor (x + 4) on numerator/ denominator
= → C
How many terms are in the polynomial abcd + e - h 2? two
1 answer:
There are three terms in the polynomial.
Step-by-step explanation:
Given that,
A polynomial, .
To find,
The number of terms in the polynomial.
Solution,
The number of terms in the polynomial are the number of unlike expressions that are separated by a minus or plus.
We have, .
The terms are :
,
,
It implies that there are three terms in the given polynomial.
Reference,
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Answer:
The length of the new segments A'B' is 20 units ⇒ answer C
Step-by-step explanation:
* <em>Lets revise the dilation</em>
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the figure does
not change.
- The scale factor, measures how much larger or smaller the image
will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
* <em>Lets solve the problem</em>
- line segment AB whose endpoints are (1, 4) and (4, 8) is dilated by
a scale factor of 4 and centered at the origin
∵ The scale factor is 4 and it is greater than 1
- The length of the image of line segment AB will enlarged by the
scale factor 4
∴ A'B' = 4 AB
* <em>Lets find the length of AB by using the rule of the distance</em>
∵
∵ A = and B =
∵ A = (1 , 4) and B = (4 , 8)
∴ and
∵ AB =
∴ AB = 5 units
∵ A'B' = 4 AB
∴ A'B' = 4 × 5 = 20
∴ The length of the new segments A'B' is 20 units
<h3>Answer: A) 6</h3>
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Explanation:
Plug n = 6 and r = 5 into the nCr combination formula
Or you could use the shortcut
Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.
A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.