Answer:
y - 5 = -1(x + 3)
Step-by-step explanation:
Point slope form
y - y1 = m(x - x1) where m = slope and passing through point (x1 , y1)
In this case if the equation in point-slope form contains the point (–3, 5) and has slope –1 then the equation should be:
y - 5 = -1(x - (-3))
y - 5 = -1(x + 3)
Answer:
14/15
Step-by-step explanation:
8/15 + 3(2/5) = 8/15 + 6/15
= 14/15
Answer:
(2x^3)(3x^3 +2x +5)
Step-by-step explanation:
The key words here are "greatest common factor." They have their usual English meanings. A common factor is one that is a multiplier in every term, so you need to look to see what those are. The "greatest common factor" is the largest common factor you can find.
first term: 2·3·x·x·x·x·x·x
second term: 2·2·x·x·x·x
third term: 2·5·x·x·x
A common factor is a factor that is on every list. I have shown them in bold. Once the common factor is factored out, the remaining factors are summed according to the distributive property.
6x^6 +4x^4 +10x^3 = (2x^3)(3x^3 +2x +5)
_____
Of course you recognize that each of the coefficient numbers is even. That means they are all divisible by 2. So, you know right away that 2 is a common factor.
There are powers of x in every term. The lowest power of x is x^3, and all the other powers are higher, so you know that x^3 will be a common factor, too. Having got this far, you can factor out 2x^3 and see if any of the remaining terms seem to have anything in common. They don't.
The answer to this problem is x=210
Answer :
Option B
Step by step explanation :
As we can see in figure, Triangle is right angled at A
In ∆ABC
By Pythagoras theorem,
BC² = AC² + AB²
=> BC² = (3)² + (4)²
=> BC² = 9 + 16
=> BC² = 25
=> BC = 5 cm
We know,
=
Here,
base = AC = 3cm
height = AB = 4cm
=> =
=> 
=> 
As BC = DE
And then BD = EC
it shows the property of rectangle
So BD = 6 cm
Now,
=> Area of rectangle = 6cm x 5cm
=> 
Now,
Area of the figure = Area of rectangle + Area of triangle
=> Area of the figure = 30cm² + 6cm²
=> 
Therefore, <u>option B</u> is the correct answer for this question.
