You would get 89/21 and then for a mixed number 4& 5/21
So, to factor out the equation x²+12x+35, first multiply the first and last numbers.
1×35=35
So, you need to find the multiples of 35 that add up to 12.
So, you find 7 and 5. These two numbers are the magic numbers that will be used as the correct factored form of x²+12x+35, because:
>7×5=35
>7+5=12
So, using these two numbers, you get your factored form as:
(x+5)(x+7)
Answer:
Step-by-step explanation:
We khow that the equation of a circle is written this way :
(x-a)²+(y-b)²=r² where (x,y) are the coordinates of the cercle's points and (a,b) the coordinates of the cercle's center and r the radius .
Our task is to khow the values of a and b :
- We khow that the center is lying on the line 3x+2y=16⇒ 2y=-3x+16⇒ y=
x+8 - We khow that the points P and Q are two points in the cercle
- Let Ω be the center of this cercle
- we can notice that : PΩ AND QΩ are both equal to the radius ⇒ PΩ=QΩ= r
- So let's write the expression of this distance using vectors KHOWING THAT Ω(a,b)
- Vector PΩ(a-4,b-6) and Vector QΩ(a-8,b-2)
- PΩ=
and QΩ=
- Let's substitute a by x and b by y
- PΩ=QΩ we substitute each distance by its expression
- After simplyfying the expressions we get finally : -12+8x-8y=0
- now we have -12x +8x-8y=0 and the line equation 3x+2y-16=0
- these are simultanious equations so after solving them we get x=3.8 wich is approximatively 4 and y=2
- we substitute a by 4 and y by 2 in PΩ to get the radius
- we get r =
= 4 - so r²= 16
- then the equation is : (x-4)²+(y-2)²=16
Answer:
1/6 squared feet or 0.17 squared feet
Step-by-step explanation:
Since it's a paper, we assume it is a rectangle.
Use the formula for area of a rectangle. A= lw
l is the length and w is the width.
The width is 2/3 feet and the length is 1/4 feet.
Substitute w = 2/3 and l=1/4 into the equation for area of a rectangle.
A = lw
A = (1/4)(2/3) Multiply both numerators, then both denominators
A = 2/12 Simplify. Top and bottom are divisible by 2
A = 1/6
A ≈ 0.17 Rounded to two decimal places
When you multiply two numbers with units, the answer's unit becomes the squared unit.
Therefore the area of her paper is 1/6 squared feet, or 0.17 squared feet.
B would equal logx (-2x^5/a)-2
A would equal -2x^3-b (The b is up there with the 3 as well. Like ^3-b)