Answer:
Step-by-step explanation:
y=-3x²-4x+7...(*)
3x+2y=18...(**)
use (*) put the value of y in (**) :
3x +2(-3x²-4x+7)=18
3x-6x²-8x +14 -18 = 0
-6x²-5x- 4 = 0
6x²+5x+4 = 0
delta = b² - 4ac a = 6 b=5 c =4
delta = 5² - 4(6)(4)= 25 -96= -71 negatif
so no reals solution
9514 1404 393
Answer:
9/8
Step-by-step explanation:
The equation of a proportional relationship is ...
y = kx
The constant of proportionality, k, can be found from ...
k = y/x . . . . . above equation divided by x
Using the given points, we find the constant of proportionality to be ...
k = (3/4)/(2/3) = (3/4)(3/2) = 9/8
The constant of proportionality is 9/8.
Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
-4x + 6 = 3x - 36
Step 2: Solve for <em>x</em>
- Add 4x to both sides: 6 = 7x - 36
- Add 36 to both sides: 42 = 7x
- Divide both sides by 7: x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-4(6) + 6 = 3(6) - 36
-24 + 6 = 18 - 36
-18 = -18
Answer:
diameter = m - c
Step-by-step explanation:
In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).
The sum of the lengths of the tangents from points A and B on side "c" is ...
(b-r) +(a-r) = c
(a+b) -2r = c
Now, the problem statement defines the sum of side lengths as ...
a+b = m
and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...
m -d = c
m - c = d . . . . add d-c
The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.
Yes, it is. To find this out, you need to make the denominators the same. They can both multiply into 15, so we change the denominators to 15. Whatever we do to the bottom, we also have to do to the top.
2/3 = 10/15
1/5 = 3/15
We can then see that 10 is more than 3 :)
