<h3><em><u>Simplify -3y+2x-5y-7x is:</u></em></h3><h3>-8y - 5x</h3>
<em><u>Solution:</u></em>
<em><u>Given that, we have to simplify</u></em>
We can simplify the above expression by combining the like terms
Like terms are terms that has same variable ( with same exponent) with same or different coefficient
From given,
Here, like terms are -3y and -5y
And 2x and -7x
Group the like terms
Combine the like terms
Thus the given expression is simplified
Answer
∴ The true statement is Answer:
The true statement is BD ≅ CE ⇒ 3rd answer
Step-by-step explanation:
- There is a line contained points B , C , D , E
- All points are equal distance from each other
- That means the distance of BC equal the distance of CD and equal
the distance of DE
∴ BC = CD = DE
- That means the line id divided into 3 equal parts, each part is one
third the line
∴ BC = 1/3 BE
∴ CD = 1/3 BE
∴ DE = 1/3 BE
∵ BC = CD
∴ C is the mid-point of BD
∴ BC = 1/2 BD
∵ CD = DE
∴ D is the mid-point of DE
∴ CD = 1/2 CE
- Lets check the answers
* BD = one half BC is not true because BC = one half BD
* BC = one half BE is not true because BC = one third BE
* BD ≅ CE is true because
BD = BC + CD
CE = CD + DE
BC ≅ DE and CD is common
then BD ≅ CE
* BC ≅ BD is not true because BC is one half BD
∴ The true statement is BD ≅ CE
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What is the mode of the following set of data? 34, 23, 12, 11, 11, 25, 25, 26, 25, 27, 30
Olin [163]
1 - B
Mode - The mode the number that appears most often in a data set. In this question, 25 was repeated 3 times and no other ones where repeated 3 times. Thats why 25 is the mode.
2 - D
Median - The middle number of a data set that is arranged from least to greatest.
3 - True
There is no mode because all of the numbers only appear once.
4 - A
5 - C
Answer:
2/3
Step-by-step explanation:
Given : A geometric sequence : 18, 12, 8, 16/3,…
Solution :
Each term is found by multiplying the previous term by a constant in a Geometric Sequence .
In a Geometric Sequence common ratio is denoted by r
for n = 2
⇒
⇒
for n = 3
⇒
⇒
⇒
Thus the common ratio 'r' = 2/3
