Answer:
x = 7
Step-by-step explanation:
We are told one quarter of x is equal to 7 , then the equation is
x = 7 ( multiply both sides by 4 to clear the fraction )
x = 28
Answer:
Vertex is (2,0)
Step-by-step explanation:
The vertex of a parabola is x=-b/2a
Since a=-2 and b=8, we have:
x=-8/2(-2)
x=-8/-4
x=2
So the vertex is (2,0)
Answer:
Step-by-step explanation:
<u>Lets verify the ratio of corresponding sides:</u>
<u>Two sides are similar and the included angles are congruent as vertical angles:</u>
- LV/UV = MV/TV
- ∠MVL ≅ ∠TVU
- ΔMVL ~ ΔTVU by SAS
Answer:
The mass would be 6x10^6
Step-by-step explanation:
In order to solve this, we simply need to multiply the two numbers together to get the new mass.
3x10^4 * 2x10^2 = 6x10^6
2nd degree with real coefients
so if a+bi is a root then a-bi is also a root
if 2+i is a root then 2-i is also a root
so, the factored form of a quadratic equation with roots r1 and r2 is
(x-r1)(x-r2)
so
2+i and 2-i
(x-(2+i))(x-(2-i))
(x-2-i)(x-2+i)
expanding we get
x²-4x+5
so c=5
