Answer:
Your answer is
Intercept is = 5
(x,y)= (0,5)
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(4x-3)(x+5)
= 4x^2+20x-3x-15
= 4x^2+ 17x -15.
The final answer is 4x^2+ 17x -15~
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:
5.31x=9.28-6.65
5.31x=2.63
×=2.63/5.31
x=<u>2</u><u>.</u><u>63</u>
5.31
Answer:
3.79 miles per hour to the nearest hundredth.
Step-by-step explanation:
There are 3600 seconds in 1 hour.
50 feet in 9 seconds = 50/9 feet per second.
= (50/9) * 3600 feet per hour
= (50/9) * 3600 / 5280 miles per hour.
= 50 * 400 / 5280
= 3.79 miles / hour.