Answer:
A C and E
Step-by-step explanation:
Let <em>x</em> be the smallest of the three integers. Then the next two are <em>x</em> + 2 and <em>x</em> + 4.
• "The ratio of the smallest number to 1 less than twice the smallest number..."
This translates to
<em>x</em> / (2<em>x</em> - 1)
• "... the ratio of 3 more than the middle number to twice the largest number."
This translates to
((<em>x</em> + 2) + 3) / (2 (<em>x</em> + 4))
or, simplifying a bit,
(<em>x</em> + 5) / (2<em>x</em> + 8)
The ratioes are said to be equivalent, so
<em>x</em> / (2<em>x</em> - 1) = (<em>x</em> + 5) / (2<em>x</em> + 8)
Solve for <em>x</em> :
<em>x</em> (2<em>x</em> + 8) = (<em>x</em> + 5) (2<em>x</em> - 1)
2<em>x</em>² + 8<em>x</em> = 2<em>x</em>² + 9<em>x</em> - 5
8<em>x</em> = 9<em>x</em> - 5
-<em>x</em> = -5
<em>x</em> = 5
So the three integers are 5, 7, and 9.
I'm not sure if you have done vectors as of yet, but you would first add the x components and y components separately.
x-components: 4 blocks + 5 block = 9 blocks
y-component: 2 blocks + 1 block = 3 blocks
Magnitude of this: √(x₂-x₁)²+(y₂-y₁)²
= √(9)²+(3)²
=√81+9
=9.5 blocks approx
Angle of of the resultant vector;
tanθ=y/x
tanθ=3/9
θ=tan⁻¹(3/9)
θ=18.43 degrees
Hope I helped :)
Answer: See explanation
Step-by-step explanation:
a. 19 > x + 4
Collect like terms
= 19 - 4 > x
= 15 > x
= x < 15
b. 5x > 4x - 9
Collect like terms
5x - 4x> -9
x > -9
