Find the coordinates of a point that divides a line segment AB in the ratio 2:6.
1 answer:
Answer:
Step-by-step explanation:
The first thing we should do is to calculate the distance AB
To do that we must khow the coordinates of the vector AB
- Vector AB(6-(-6)),-7-9)⇒ Vector AB (12, -16)
- So the distance AB =
= 20
- now 20 to the ratio of 2:6
- add 2 and 6 2+6=8
- divide 20 by 8 20/8=2.5
- multiplay 2.5 by 2 and 6 2.5*2=5 and 2.5*6= 15
- so the point (3, -3) can satisfy this ration
- if we calculate the remaining distance we find 5 and 15
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Answer:
<em>- 112 + 100 n</em>
Step-by-step explanation:
=
+ (n - 1 )d
~~~~~~~
= - 12
d = 100
= - 12 + 100( n - 1 )
= - 12 + 100n - 100
<em>= - 112 + 100 n</em>
The values are and
Explanation:
The expression is
Simplifying, we get,
Since, both sides of the expression are equal, we can equate the corresponding values of A, B, C and D.
Thus, we get,
⇒
and
Also, equating, , we get,
and
Thus, the values are and
Answer:
Step-by-step explanation:
The given statement is;: 'I think of a number, multiply it by 3, add 4 & square the result.'
At first, let's take the unknown number as 'x' . (asked in the question).
So, the number we think about = x
Now, we need to multiply it by 3. So,
- 3 * x = 3x
In the next part, we need to add 4 to it so,
- 3x + 4
Now, by squaring the result, we'll get the expression as,
- <u>(3x + 4)²</u>
<u>____________</u>
Hope it helps!